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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
443
|
A
|
Anton and Letters
|
PROGRAMMING
| 800
|
[
"constructive algorithms",
"implementation"
] | null | null |
Recently, Anton has found a set. The set consists of small English letters. Anton carefully wrote out all the letters from the set in one line, separated by a comma. He also added an opening curved bracket at the beginning of the line and a closing curved bracket at the end of the line.
Unfortunately, from time to time Anton would forget writing some letter and write it again. He asks you to count the total number of distinct letters in his set.
|
The first and the single line contains the set of letters. The length of the line doesn't exceed 1000. It is guaranteed that the line starts from an opening curved bracket and ends with a closing curved bracket. Between them, small English letters are listed, separated by a comma. Each comma is followed by a space.
|
Print a single number — the number of distinct letters in Anton's set.
|
[
"{a, b, c}\n",
"{b, a, b, a}\n",
"{}\n"
] |
[
"3\n",
"2\n",
"0\n"
] |
none
| 500
|
[
{
"input": "{a, b, c}",
"output": "3"
},
{
"input": "{b, a, b, a}",
"output": "2"
},
{
"input": "{}",
"output": "0"
},
{
"input": "{a, a, c, b, b, b, c, c, c, c}",
"output": "3"
},
{
"input": "{a, c, b, b}",
"output": "3"
},
{
"input": "{a, b}",
"output": "2"
},
{
"input": "{a}",
"output": "1"
},
{
"input": "{b, a, b, a, b, c, c, b, c, b}",
"output": "3"
},
{
"input": "{e, g, c, e}",
"output": "3"
},
{
"input": "{a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a, a}",
"output": "1"
},
{
"input": "{a, a, b}",
"output": "2"
},
{
"input": "{a, b, b, b, a, b, a, a, a, a, a, a, b, a, b, a, a, a, a, a, b, a, b, a}",
"output": "2"
},
{
"input": "{j, u, a, c, f, w, e, w, x, t, h, p, v, n, i, l, x, n, i, b, u, c, a, a}",
"output": "16"
},
{
"input": "{x, i, w, c, p, e, h, z, k, i}",
"output": "9"
},
{
"input": "{t, k, o, x, r, d, q, j, k, e, z, w, y, r, z, s, s, e, s, b, k, i}",
"output": "15"
},
{
"input": "{y}",
"output": "1"
},
{
"input": "{x}",
"output": "1"
},
{
"input": "{b, z, a, z}",
"output": "3"
},
{
"input": "{z}",
"output": "1"
},
{
"input": "{a, z}",
"output": "2"
},
{
"input": "{a, b, z}",
"output": "3"
},
{
"input": "{s, q, z, r, t, a, b, h, j, i, o, z, r, q}",
"output": "11"
}
] | 1,695,860,680
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 27
| 46
| 0
|
test=input()
s1=test.replace("{","").replace("}","").replace(","," ").replace(" ","")
lista=set()
for i in range(len(s1)):
if s1[i] not in lista:
lista.add(s1[i])
print(len(lista))
|
Title: Anton and Letters
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently, Anton has found a set. The set consists of small English letters. Anton carefully wrote out all the letters from the set in one line, separated by a comma. He also added an opening curved bracket at the beginning of the line and a closing curved bracket at the end of the line.
Unfortunately, from time to time Anton would forget writing some letter and write it again. He asks you to count the total number of distinct letters in his set.
Input Specification:
The first and the single line contains the set of letters. The length of the line doesn't exceed 1000. It is guaranteed that the line starts from an opening curved bracket and ends with a closing curved bracket. Between them, small English letters are listed, separated by a comma. Each comma is followed by a space.
Output Specification:
Print a single number — the number of distinct letters in Anton's set.
Demo Input:
['{a, b, c}\n', '{b, a, b, a}\n', '{}\n']
Demo Output:
['3\n', '2\n', '0\n']
Note:
none
|
```python
test=input()
s1=test.replace("{","").replace("}","").replace(","," ").replace(" ","")
lista=set()
for i in range(len(s1)):
if s1[i] not in lista:
lista.add(s1[i])
print(len(lista))
```
| 3
|
|
698
|
A
|
Vacations
|
PROGRAMMING
| 1,400
|
[
"dp"
] | null | null |
Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options:
1. on this day the gym is closed and the contest is not carried out; 1. on this day the gym is closed and the contest is carried out; 1. on this day the gym is open and the contest is not carried out; 1. on this day the gym is open and the contest is carried out.
On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).
Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days.
|
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations.
The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where:
- *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the contest is not carried out; - *a**i* equals 1, if on the *i*-th day of vacations the gym is closed, but the contest is carried out; - *a**i* equals 2, if on the *i*-th day of vacations the gym is open and the contest is not carried out; - *a**i* equals 3, if on the *i*-th day of vacations the gym is open and the contest is carried out.
|
Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:
- to do sport on any two consecutive days, - to write the contest on any two consecutive days.
|
[
"4\n1 3 2 0\n",
"7\n1 3 3 2 1 2 3\n",
"2\n2 2\n"
] |
[
"2\n",
"0\n",
"1\n"
] |
In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days.
In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day.
In the third test Vasya can do sport either on a day number 1 or number 2. He can not do sport in two days, because it will be contrary to the his limitation. Thus, he will have a rest for only one day.
| 500
|
[
{
"input": "4\n1 3 2 0",
"output": "2"
},
{
"input": "7\n1 3 3 2 1 2 3",
"output": "0"
},
{
"input": "2\n2 2",
"output": "1"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "10\n0 0 1 1 0 0 0 0 1 0",
"output": "8"
},
{
"input": "100\n3 2 3 3 3 2 3 1 3 2 2 3 2 3 3 3 3 3 3 1 2 2 3 1 3 3 2 2 2 3 1 0 3 3 3 2 3 3 1 1 3 1 3 3 3 1 3 1 3 0 1 3 2 3 2 1 1 3 2 3 3 3 2 3 1 3 3 3 3 2 2 2 1 3 1 3 3 3 3 1 3 2 3 3 0 3 3 3 3 3 1 0 2 1 3 3 0 2 3 3",
"output": "16"
},
{
"input": "10\n2 3 0 1 3 1 2 2 1 0",
"output": "3"
},
{
"input": "45\n3 3 2 3 2 3 3 3 0 3 3 3 3 3 3 3 1 3 2 3 2 3 2 2 2 3 2 3 3 3 3 3 1 2 3 3 2 2 2 3 3 3 3 1 3",
"output": "6"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n2",
"output": "0"
},
{
"input": "1\n3",
"output": "0"
},
{
"input": "2\n1 1",
"output": "1"
},
{
"input": "2\n1 3",
"output": "0"
},
{
"input": "2\n0 1",
"output": "1"
},
{
"input": "2\n0 0",
"output": "2"
},
{
"input": "2\n3 3",
"output": "0"
},
{
"input": "3\n3 3 3",
"output": "0"
},
{
"input": "2\n3 2",
"output": "0"
},
{
"input": "2\n0 2",
"output": "1"
},
{
"input": "10\n2 2 3 3 3 3 2 1 3 2",
"output": "2"
},
{
"input": "15\n0 1 0 0 0 2 0 1 0 0 0 2 0 0 0",
"output": "11"
},
{
"input": "15\n1 3 2 2 2 3 3 3 3 2 3 2 2 1 1",
"output": "4"
},
{
"input": "15\n3 1 3 2 3 2 2 2 3 3 3 3 2 3 2",
"output": "3"
},
{
"input": "20\n0 2 0 1 0 0 0 1 2 0 1 1 1 0 1 1 0 1 1 0",
"output": "12"
},
{
"input": "20\n2 3 2 3 3 3 3 2 0 3 1 1 2 3 0 3 2 3 0 3",
"output": "5"
},
{
"input": "20\n3 3 3 3 2 3 3 2 1 3 3 2 2 2 3 2 2 2 2 2",
"output": "4"
},
{
"input": "25\n0 0 1 0 0 1 0 0 1 0 0 1 0 2 0 0 2 0 0 1 0 2 0 1 1",
"output": "16"
},
{
"input": "25\n1 3 3 2 2 3 3 3 3 3 1 2 2 3 2 0 2 1 0 1 3 2 2 3 3",
"output": "5"
},
{
"input": "25\n2 3 1 3 3 2 1 3 3 3 1 3 3 1 3 2 3 3 1 3 3 3 2 3 3",
"output": "3"
},
{
"input": "30\n0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 2 0 0 1 1 2 0 0 0",
"output": "22"
},
{
"input": "30\n1 1 3 2 2 0 3 2 3 3 1 2 0 1 1 2 3 3 2 3 1 3 2 3 0 2 0 3 3 2",
"output": "9"
},
{
"input": "30\n1 2 3 2 2 3 3 3 3 3 3 3 3 3 3 1 2 2 3 2 3 3 3 2 1 3 3 3 1 3",
"output": "2"
},
{
"input": "35\n0 1 1 0 0 2 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 2 1 0 2 2 1 0 1 0 1 1 1 0 0",
"output": "21"
},
{
"input": "35\n2 2 0 3 2 2 0 3 3 1 1 3 3 1 2 2 0 2 2 2 2 3 1 0 2 1 3 2 2 3 2 3 3 1 2",
"output": "11"
},
{
"input": "35\n1 2 2 3 3 3 3 3 2 2 3 3 2 3 3 2 3 2 3 3 2 2 2 3 3 2 3 3 3 1 3 3 2 2 2",
"output": "7"
},
{
"input": "40\n2 0 1 1 0 0 0 0 2 0 1 1 1 0 0 1 0 0 0 0 0 2 0 0 0 2 1 1 1 3 0 0 0 0 0 0 0 1 1 0",
"output": "28"
},
{
"input": "40\n2 2 3 2 0 2 3 2 1 2 3 0 2 3 2 1 1 3 1 1 0 2 3 1 3 3 1 1 3 3 2 2 1 3 3 3 2 3 3 1",
"output": "10"
},
{
"input": "40\n1 3 2 3 3 2 3 3 2 2 3 1 2 1 2 2 3 1 2 2 1 2 2 2 1 2 2 3 2 3 2 3 2 3 3 3 1 3 2 3",
"output": "8"
},
{
"input": "45\n2 1 0 0 0 2 1 0 1 0 0 2 2 1 1 0 0 2 0 0 0 0 0 0 1 0 0 2 0 0 1 1 0 0 1 0 0 1 1 2 0 0 2 0 2",
"output": "29"
},
{
"input": "45\n3 3 2 3 3 3 2 2 3 2 3 1 3 2 3 2 2 1 1 3 2 3 2 1 3 1 2 3 2 2 0 3 3 2 3 2 3 2 3 2 0 3 1 1 3",
"output": "8"
},
{
"input": "50\n3 0 0 0 2 0 0 0 0 0 0 0 2 1 0 2 0 1 0 1 3 0 2 1 1 0 0 1 1 0 0 1 2 1 1 2 1 1 0 0 0 0 0 0 0 1 2 2 0 0",
"output": "32"
},
{
"input": "50\n3 3 3 3 1 0 3 3 0 2 3 1 1 1 3 2 3 3 3 3 3 1 0 1 2 2 3 3 2 3 0 0 0 2 1 0 1 2 2 2 2 0 2 2 2 1 2 3 3 2",
"output": "16"
},
{
"input": "50\n3 2 3 1 2 1 2 3 3 2 3 3 2 1 3 3 3 3 3 3 2 3 2 3 2 2 3 3 3 2 3 3 3 3 2 3 1 2 3 3 2 3 3 1 2 2 1 1 3 3",
"output": "7"
},
{
"input": "55\n0 0 1 1 0 1 0 0 1 0 1 0 0 0 2 0 0 1 0 0 0 1 0 0 0 0 3 1 0 0 0 1 0 0 0 0 2 0 0 0 2 0 2 1 0 0 0 0 0 0 0 0 2 0 0",
"output": "40"
},
{
"input": "55\n3 0 3 3 3 2 0 2 3 0 3 2 3 3 0 3 3 1 3 3 1 2 3 2 0 3 3 2 1 2 3 2 3 0 3 2 2 1 2 3 2 2 1 3 2 2 3 1 3 2 2 3 3 2 2",
"output": "13"
},
{
"input": "55\n3 3 1 3 2 3 2 3 2 2 3 3 3 3 3 1 1 3 3 2 3 2 3 2 0 1 3 3 3 3 2 3 2 3 1 1 2 2 2 3 3 3 3 3 2 2 2 3 2 3 3 3 3 1 3",
"output": "7"
},
{
"input": "60\n0 1 0 0 0 0 0 0 0 2 1 1 3 0 0 0 0 0 1 0 1 1 0 0 0 3 0 1 0 1 0 2 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0",
"output": "44"
},
{
"input": "60\n3 2 1 3 2 2 3 3 3 1 1 3 2 2 3 3 1 3 2 2 3 3 2 2 2 2 0 2 2 3 2 3 0 3 3 3 2 3 3 0 1 3 2 1 3 1 1 2 1 3 1 1 2 2 1 3 3 3 2 2",
"output": "15"
},
{
"input": "60\n3 2 2 3 2 3 2 3 3 2 3 2 3 3 2 3 3 3 3 3 3 2 3 3 1 2 3 3 3 2 1 3 3 1 3 1 3 0 3 3 3 2 3 2 3 2 3 3 1 1 2 3 3 3 3 2 1 3 2 3",
"output": "8"
},
{
"input": "65\n1 0 2 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 2 0 2 1 0 2 1 0 1 0 1 1 0 1 1 1 2 1 0 1 0 0 0 0 1 2 2 1 0 0 1 2 1 2 0 2 0 0 0 1 1",
"output": "35"
},
{
"input": "65\n2 2 2 3 0 2 1 2 3 3 1 3 1 2 1 3 2 3 2 2 2 1 2 0 3 1 3 1 1 3 1 3 3 3 3 3 1 3 0 3 1 3 1 2 2 3 2 0 3 1 3 2 1 2 2 2 3 3 2 3 3 3 2 2 3",
"output": "13"
},
{
"input": "65\n3 2 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 2 3 2 3 2 2 3 3 3 3 3 2 2 2 3 3 2 3 3 2 3 3 3 3 2 3 3 3 2 2 3 3 3 3 3 3 2 2 3 3 2 3 3 1 3 3 3 3",
"output": "6"
},
{
"input": "70\n1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 3 1 1 0 1 2 0 2 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 3 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1",
"output": "43"
},
{
"input": "70\n2 3 3 3 1 3 3 1 2 1 1 2 2 3 0 2 3 3 1 3 3 2 2 3 3 3 2 2 2 2 1 3 3 0 2 1 1 3 2 3 3 2 2 3 1 3 1 2 3 2 3 3 2 2 2 3 1 1 2 1 3 3 2 2 3 3 3 1 1 1",
"output": "16"
},
{
"input": "70\n3 3 2 2 1 2 1 2 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 3 3 3 1 3 3 3 2 3 3 3 3 2 3 3 1 3 1 3 2 3 3 2 3 3 3 2 3 2 3 3 1 2 3 3 2 2 2 3 2 3 3 3 3 3 3 1",
"output": "10"
},
{
"input": "75\n1 0 0 1 1 0 0 1 0 1 2 0 0 2 1 1 0 0 0 0 0 0 2 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 2 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0",
"output": "51"
},
{
"input": "75\n1 3 3 3 1 1 3 2 3 3 1 3 3 3 2 1 3 2 2 3 1 1 1 1 1 1 2 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 2 2 2 1 2 3 3 2 2 3 0 1 1 3 3 0 0 1 1 3 2 3 3 3 3 1 2 2 3 3 3 3 1",
"output": "16"
},
{
"input": "75\n3 3 3 3 2 2 3 2 2 3 2 2 1 2 3 3 2 2 3 3 1 2 2 2 1 3 3 3 1 2 2 3 3 3 2 3 2 2 2 3 3 1 3 2 2 3 3 3 0 3 2 1 3 3 2 3 3 3 3 1 2 3 3 3 2 2 3 3 3 3 2 2 3 3 1",
"output": "11"
},
{
"input": "80\n0 0 0 0 2 0 1 1 1 1 1 0 0 0 0 2 0 0 1 0 0 0 0 1 1 0 2 2 1 1 0 1 0 1 0 1 1 1 0 1 2 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 2 2 0 1 1 0 0 0 0 0 0 0 0 1",
"output": "56"
},
{
"input": "80\n2 2 3 3 2 1 0 1 0 3 2 2 3 2 1 3 1 3 3 2 3 3 3 2 3 3 3 2 1 3 3 1 3 3 3 3 3 3 2 2 2 1 3 2 1 3 2 1 1 0 1 1 2 1 3 0 1 2 3 2 2 3 2 3 1 3 3 2 1 1 0 3 3 3 3 1 2 1 2 0",
"output": "17"
},
{
"input": "80\n2 3 3 2 2 2 3 3 2 3 3 3 3 3 2 3 2 3 2 3 3 3 3 3 3 3 3 3 2 3 1 3 2 3 3 0 3 1 2 3 3 1 2 3 2 3 3 2 3 3 3 3 3 2 2 3 0 3 3 3 3 3 2 2 3 2 3 3 3 3 3 2 3 2 3 3 3 3 2 3",
"output": "9"
},
{
"input": "85\n0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 2 0 1 0 0 2 0 1 1 0 0 0 0 2 2 0 0 0 1 0 0 0 1 2 0 1 0 0 0 2 1 1 2 0 3 1 0 2 2 1 0 0 1 1 0 0 0 0 1 0 2 1 1 2 1 0 0 1 2 1 2 0 0 1 0 1 0",
"output": "54"
},
{
"input": "85\n2 3 1 3 2 3 1 3 3 2 1 2 1 2 2 3 2 2 3 2 0 3 3 2 1 2 2 2 3 3 2 3 3 3 2 1 1 3 1 3 2 2 2 3 3 2 3 2 3 1 1 3 2 3 1 3 3 2 3 3 2 2 3 0 1 1 2 2 2 2 1 2 3 1 3 3 1 3 2 2 3 2 3 3 3",
"output": "19"
},
{
"input": "85\n1 2 1 2 3 2 3 3 3 3 3 3 3 2 1 3 2 3 3 3 3 2 3 3 3 1 3 3 3 3 2 3 3 3 3 3 3 2 2 1 3 3 3 3 2 2 3 1 1 2 3 3 3 2 3 3 3 3 3 2 3 3 3 2 2 3 3 1 1 1 3 3 3 3 1 3 3 3 1 3 3 1 3 2 3",
"output": "9"
},
{
"input": "90\n2 0 1 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 1 0 2 0 1 0 1 0 0 1 2 2 0 0 1 0 0 1 0 1 0 2 0 1 1 1 0 1 1 0 1 0 2 0 1 0 1 0 0 0 1 0 0 1 2 0 0 0 1 0 0 2 2 0 0 0 0 0 1 3 1 1 0 1",
"output": "57"
},
{
"input": "90\n2 3 3 3 2 3 2 1 3 0 3 2 3 3 2 1 3 3 2 3 2 3 3 2 1 3 1 3 3 1 2 2 3 3 2 1 2 3 2 3 0 3 3 2 2 3 1 0 3 3 1 3 3 3 3 2 1 2 2 1 3 2 1 3 3 1 2 0 2 2 3 2 2 3 3 3 1 3 2 1 2 3 3 2 3 2 3 3 2 1",
"output": "17"
},
{
"input": "90\n2 3 2 3 2 2 3 3 2 3 2 1 2 3 3 3 2 3 2 3 3 2 3 3 3 1 3 3 1 3 2 3 2 2 1 3 3 3 3 3 3 3 3 3 3 2 3 2 3 2 1 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 1 3 2 3 3 3 2 2 3 2 3 2 1 3 2",
"output": "9"
},
{
"input": "95\n0 0 3 0 2 0 1 0 0 2 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 1 0 0 2 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 2 0 1 2 2 0 0 1 0 2 0 0 0 1 0 2 1 2 1 0 1 0 0 0 1 0 0 1 1 2 1 1 1 1 2 0 0 0 0 0 1 1 0 1",
"output": "61"
},
{
"input": "95\n2 3 3 2 1 1 3 3 3 2 3 3 3 2 3 2 3 3 3 2 3 2 2 3 3 2 1 2 3 3 3 1 3 0 3 3 1 3 3 1 0 1 3 3 3 0 2 1 3 3 3 3 0 1 3 2 3 3 2 1 3 1 2 1 1 2 3 0 3 3 2 1 3 2 1 3 3 3 2 2 3 2 3 3 3 2 1 3 3 3 2 3 3 1 2",
"output": "15"
},
{
"input": "95\n2 3 3 2 3 2 2 1 3 1 2 1 2 3 1 2 3 3 1 3 3 3 1 2 3 2 2 2 2 3 3 3 2 2 3 3 3 3 3 1 2 2 3 3 3 3 2 3 2 2 2 3 3 2 3 3 3 3 3 3 3 0 3 2 0 3 3 1 3 3 3 2 3 2 3 2 3 3 3 3 2 2 1 1 3 3 3 3 3 1 3 3 3 3 2",
"output": "14"
},
{
"input": "100\n1 0 2 0 0 0 0 2 0 0 0 1 0 1 0 0 1 0 1 2 0 1 1 0 0 1 0 1 1 0 0 0 2 0 1 0 0 2 0 0 0 0 0 1 1 1 0 0 1 0 2 0 0 0 0 1 0 1 0 1 0 1 0 1 2 2 0 0 2 0 1 0 1 0 1 0 0 0 1 0 0 2 1 1 1 0 0 1 0 0 0 2 0 0 2 1 1 0 0 2",
"output": "63"
},
{
"input": "100\n3 2 1 3 2 3 2 3 2 2 3 1 3 3 3 3 3 2 2 3 2 2 3 2 3 3 3 2 3 1 2 1 3 3 3 3 1 3 3 3 3 3 2 3 2 1 3 3 1 2 2 3 1 3 3 1 2 2 1 3 1 3 2 2 3 3 1 3 2 3 1 2 1 2 3 3 2 2 1 2 3 3 3 3 3 1 3 3 3 3 2 1 3 0 3 3 3 2 3 3",
"output": "15"
},
{
"input": "100\n1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2",
"output": "0"
},
{
"input": "100\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3",
"output": "0"
},
{
"input": "100\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "50"
},
{
"input": "100\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2",
"output": "50"
},
{
"input": "99\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "49"
},
{
"input": "100\n2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1",
"output": "0"
},
{
"input": "100\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0",
"output": "100"
},
{
"input": "2\n0 3",
"output": "1"
},
{
"input": "2\n1 0",
"output": "1"
},
{
"input": "2\n1 2",
"output": "0"
},
{
"input": "2\n2 0",
"output": "1"
},
{
"input": "2\n2 1",
"output": "0"
},
{
"input": "2\n2 3",
"output": "0"
},
{
"input": "2\n3 0",
"output": "1"
},
{
"input": "2\n3 1",
"output": "0"
},
{
"input": "100\n3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0",
"output": "50"
}
] | 1,564,732,381
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 88
| 140
| 0
|
n = int(input())
s = list(map(int, input().split()))
for i in range(1, n):
if s[i] == 3 and s[i-1] == 1:
s[i] = 2
elif s[i] == 3 and s[i-1] == 2:
s[i] = 1
elif (s[i] == 2 and s[i-1] == 2) or (s[i] == 1 and s[i-1] == 1):
s[i] = 0
print(s.count(0))
|
Title: Vacations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options:
1. on this day the gym is closed and the contest is not carried out; 1. on this day the gym is closed and the contest is carried out; 1. on this day the gym is open and the contest is not carried out; 1. on this day the gym is open and the contest is carried out.
On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).
Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations.
The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where:
- *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the contest is not carried out; - *a**i* equals 1, if on the *i*-th day of vacations the gym is closed, but the contest is carried out; - *a**i* equals 2, if on the *i*-th day of vacations the gym is open and the contest is not carried out; - *a**i* equals 3, if on the *i*-th day of vacations the gym is open and the contest is carried out.
Output Specification:
Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:
- to do sport on any two consecutive days, - to write the contest on any two consecutive days.
Demo Input:
['4\n1 3 2 0\n', '7\n1 3 3 2 1 2 3\n', '2\n2 2\n']
Demo Output:
['2\n', '0\n', '1\n']
Note:
In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days.
In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day.
In the third test Vasya can do sport either on a day number 1 or number 2. He can not do sport in two days, because it will be contrary to the his limitation. Thus, he will have a rest for only one day.
|
```python
n = int(input())
s = list(map(int, input().split()))
for i in range(1, n):
if s[i] == 3 and s[i-1] == 1:
s[i] = 2
elif s[i] == 3 and s[i-1] == 2:
s[i] = 1
elif (s[i] == 2 and s[i-1] == 2) or (s[i] == 1 and s[i-1] == 1):
s[i] = 0
print(s.count(0))
```
| 3
|
|
801
|
B
|
Valued Keys
|
PROGRAMMING
| 900
|
[
"constructive algorithms",
"greedy",
"strings"
] | null | null |
You found a mysterious function *f*. The function takes two strings *s*1 and *s*2. These strings must consist only of lowercase English letters, and must be the same length.
The output of the function *f* is another string of the same length. The *i*-th character of the output is equal to the minimum of the *i*-th character of *s*1 and the *i*-th character of *s*2.
For example, *f*("ab", "ba") = "aa", and *f*("nzwzl", "zizez") = "niwel".
You found two strings *x* and *y* of the same length and consisting of only lowercase English letters. Find any string *z* such that *f*(*x*,<=*z*)<==<=*y*, or print -1 if no such string *z* exists.
|
The first line of input contains the string *x*.
The second line of input contains the string *y*.
Both *x* and *y* consist only of lowercase English letters, *x* and *y* have same length and this length is between 1 and 100.
|
If there is no string *z* such that *f*(*x*,<=*z*)<==<=*y*, print -1.
Otherwise, print a string *z* such that *f*(*x*,<=*z*)<==<=*y*. If there are multiple possible answers, print any of them. The string *z* should be the same length as *x* and *y* and consist only of lowercase English letters.
|
[
"ab\naa\n",
"nzwzl\nniwel\n",
"ab\nba\n"
] |
[
"ba\n",
"xiyez\n",
"-1\n"
] |
The first case is from the statement.
Another solution for the second case is "zizez"
There is no solution for the third case. That is, there is no *z* such that *f*("ab", *z*) = "ba".
| 1,000
|
[
{
"input": "ab\naa",
"output": "ba"
},
{
"input": "nzwzl\nniwel",
"output": "xiyez"
},
{
"input": "ab\nba",
"output": "-1"
},
{
"input": "r\nl",
"output": "l"
},
{
"input": "d\ny",
"output": "-1"
},
{
"input": "yvowz\ncajav",
"output": "cajav"
},
{
"input": "lwzjp\ninjit",
"output": "-1"
},
{
"input": "epqnlxmiicdidyscjaxqznwur\neodnlemiicdedmkcgavqbnqmm",
"output": "eodnlemiicdedmkcgavqbnqmm"
},
{
"input": "qqdabbsxiibnnjgsgxllfvdqj\nuxmypqtwfdezewdxfgplannrs",
"output": "-1"
},
{
"input": "aanerbaqslfmqmuciqbxyznkevukvznpkmxlcorpmrenwxhzfgbmlfpxtkqpxdrmcqcmbf\naanebbaqkgfiimcciqbaoznkeqqkrgapdillccrfeienwbcvfgbmlfbimkqchcrmclcmbf",
"output": "aanebbaqkgfiimcciqbaoznkeqqkrgapdillccrfeienwbcvfgbmlfbimkqchcrmclcmbf"
},
{
"input": "mbyrkhjctrcrayisflptgfudwgrtegidhqicsjqafvdloritbjhciyxuwavxknezwwudnk\nvvixsutlbdewqoabqhpuerfkzrddcqptfwmxdlxwbvsaqfjoxztlddvwgflcteqbwaiaen",
"output": "-1"
},
{
"input": "eufycwztywhbjrpqobvknwfqmnboqcfdiahkagykeibbsqpljcghhmsgfmswwsanzyiwtvuirwmppfivtekaywkzskyydfvkjgxb\necfwavookadbcilfobojnweqinbcpcfdiahkabwkeibbacpljcghhksgfajgmianfnivmhfifogpffiheegayfkxkkcmdfvihgdb",
"output": "ecfwavookadbcilfobojnweqinbcpcfdiahkabwkeibbacpljcghhksgfajgmianfnivmhfifogpffiheegayfkxkkcmdfvihgdb"
},
{
"input": "qvpltcffyeghtbdhjyhfteojezyzziardduzrbwuxmzzkkoehfnxecafizxglboauhynfbawlfxenmykquyhrxswhjuovvogntok\nchvkcvzxptbcepdjfezcpuvtehewbnvqeoezlcnzhpfwujbmhafoeqmjhtwisnobauinkzyigrvahpuetkgpdjfgbzficsmuqnym",
"output": "-1"
},
{
"input": "nmuwjdihouqrnsuahimssnrbxdpwvxiyqtenahtrlshjkmnfuttnpqhgcagoptinnaptxaccptparldzrhpgbyrzedghudtsswxi\nnilhbdghosqnbebafimconrbvdodjsipqmekahhrllhjkemeketapfhgcagopfidnahtlaccpfpafedqicpcbvfgedghudhddwib",
"output": "nilhbdghosqnbebafimconrbvdodjsipqmekahhrllhjkemeketapfhgcagopfidnahtlaccpfpafedqicpcbvfgedghudhddwib"
},
{
"input": "dyxgwupoauwqtcfoyfjdotzirwztdfrueqiypxoqvkmhiehdppwtdoxrbfvtairdbuvlqohjflznggjpifhwjrshcrfbjtklpykx\ngzqlnoizhxolnditjdhlhptjsbczehicudoybzilwnshmywozwnwuipcgirgzldtvtowdsokfeafggwserzdazkxyddjttiopeew",
"output": "-1"
},
{
"input": "hbgwuqzougqzlxemvyjpeizjfwhgugrfnhbrlxkmkdalikfyunppwgdzmalbwewybnjzqsohwhjkdcyhhzmysflambvhpsjilsyv\nfbdjdqjojdafarakvcjpeipjfehgfgrfehbolxkmkdagikflunnpvadocalbkedibhbflmohnhjkdcthhaigsfjaibqhbcjelirv",
"output": "fbdjdqjojdafarakvcjpeipjfehgfgrfehbolxkmkdagikflunnpvadocalbkedibhbflmohnhjkdcthhaigsfjaibqhbcjelirv"
},
{
"input": "xnjjhjfuhgyxqhpzmvgbaohqarugdoaczcfecofltwemieyxolswkcwhlfagfrgmoiqrgftokbqwtxgxzweozzlikrvafiabivlk\npjfosalbsitcnqiazhmepfifjxvmazvdgffcnozmnqubhonwjldmpdsjagmamniylzjdbklcyrzivjyzgnogahobpkwpwpvraqns",
"output": "-1"
},
{
"input": "zrvzedssbsrfldqvjpgmsefrmsatspzoitwvymahiptphiystjlsauzquzqqbmljobdhijcpdvatorwmyojqgnezvzlgjibxepcf\npesoedmqbmffldqsjggmhefkadaesijointrkmahapaahiysfjdiaupqujngbjhjobdhiecadeatgjvelojjgnepvajgeibfepaf",
"output": "pesoedmqbmffldqsjggmhefkadaesijointrkmahapaahiysfjdiaupqujngbjhjobdhiecadeatgjvelojjgnepvajgeibfepaf"
},
{
"input": "pdvkuwyzntzfqpblzmbynknyhlnqbxijuqaincviugxohcsrofozrrsategwkbwxcvkyzxhurokefpbdnmcfogfhsojayysqbrow\nbvxruombdrywlcjkrltyayaazwpauuhbtgwfzdrmfwwucgffucwelzvpsdgtapogchblzahsrfymjlaghkbmbssghrpxalkslcvp",
"output": "-1"
},
{
"input": "tgharsjyihroiiahwgbjezlxvlterxivdhtzjcqegzmtigqmrehvhiyjeywegxaseoyoacouijudbiruoghgxvxadwzgdxtnxlds\ntghaksjsdhkoiiahegbjexlfrctercipdhmvjbgegxdtggqdpbhvhiseehhegnaseoooacnsijubbirjnghgsvpadhaadrtimfdp",
"output": "tghaksjsdhkoiiahegbjexlfrctercipdhmvjbgegxdtggqdpbhvhiseehhegnaseoooacnsijubbirjnghgsvpadhaadrtimfdp"
},
{
"input": "jsinejpfwhzloulxndzvzftgogfdagrsscxmatldssqsgaknnbkcvhptebjjpkjhrjegrotzwcdosezkedzxeoyibmyzunkguoqj\nkfmvybobocdpipiripysioruqvloopvbggpjksgmwzyqwyxnesmvhsawnbbmntulspvsysfkjqwpvoelliopbaukyagedextzoej",
"output": "-1"
},
{
"input": "nttdcfceptruiomtmwzestrfchnqpgqeztpcvthzelfyggjgqadylzubpvbrlgndrcsursczpxlnoyoadxezncqalupfzmjeqihe\nkttdcfceohrjiaahmoldanpfchnfpgheqpdahqhxecfpbgigqadrkjubjfbrlgndbcgcgmcjpeleinaadretncqaiqpfkmjeqihe",
"output": "kttdcfceohrjiaahmoldanpfchnfpgheqpdahqhxecfpbgigqadrkjubjfbrlgndbcgcgmcjpeleinaadretncqaiqpfkmjeqihe"
},
{
"input": "diuopwglduasnaxgduwslbzoyayoypzznqspljcyqehweydhlwifcvnjmaowuvyqfwynjghecqvxdvuquuwpvwrjljozocaxnktv\ntrdydprdzmjhgbhzytelrfjpgsebijicsigmwhynmcyjtqrvojcndodchzxfcvyqjxqzwibccdvsjqhsnectdjyrrhzkeamukang",
"output": "-1"
},
{
"input": "ftfr\nftfr",
"output": "ftfr"
},
{
"input": "ftr\nftr",
"output": "ftr"
},
{
"input": "shftr\nshftr",
"output": "shftr"
},
{
"input": "vkvkkv\nvkvkkv",
"output": "vkvkkv"
},
{
"input": "ftrd\nftrd",
"output": "ftrd"
},
{
"input": "fztr\nfztr",
"output": "fztr"
},
{
"input": "frtr\nfrtr",
"output": "frtr"
},
{
"input": "shdftr\nshdftr",
"output": "shdftr"
},
{
"input": "zzz\nzzz",
"output": "zzz"
},
{
"input": "shtr\nshtr",
"output": "shtr"
},
{
"input": "aaaaa\nzzzzz",
"output": "-1"
},
{
"input": "efr\nefr",
"output": "efr"
}
] | 1,594,146,665
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 35
| 140
| 20,172,800
|
def solve():
ans = ''
s1, s2 = input(), input()
for i in range(len(s1)):
if s2[i] > s1[i]:
return -1
ans += min(s1[i], s2[i])
return ans
print(solve())
|
Title: Valued Keys
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You found a mysterious function *f*. The function takes two strings *s*1 and *s*2. These strings must consist only of lowercase English letters, and must be the same length.
The output of the function *f* is another string of the same length. The *i*-th character of the output is equal to the minimum of the *i*-th character of *s*1 and the *i*-th character of *s*2.
For example, *f*("ab", "ba") = "aa", and *f*("nzwzl", "zizez") = "niwel".
You found two strings *x* and *y* of the same length and consisting of only lowercase English letters. Find any string *z* such that *f*(*x*,<=*z*)<==<=*y*, or print -1 if no such string *z* exists.
Input Specification:
The first line of input contains the string *x*.
The second line of input contains the string *y*.
Both *x* and *y* consist only of lowercase English letters, *x* and *y* have same length and this length is between 1 and 100.
Output Specification:
If there is no string *z* such that *f*(*x*,<=*z*)<==<=*y*, print -1.
Otherwise, print a string *z* such that *f*(*x*,<=*z*)<==<=*y*. If there are multiple possible answers, print any of them. The string *z* should be the same length as *x* and *y* and consist only of lowercase English letters.
Demo Input:
['ab\naa\n', 'nzwzl\nniwel\n', 'ab\nba\n']
Demo Output:
['ba\n', 'xiyez\n', '-1\n']
Note:
The first case is from the statement.
Another solution for the second case is "zizez"
There is no solution for the third case. That is, there is no *z* such that *f*("ab", *z*) = "ba".
|
```python
def solve():
ans = ''
s1, s2 = input(), input()
for i in range(len(s1)):
if s2[i] > s1[i]:
return -1
ans += min(s1[i], s2[i])
return ans
print(solve())
```
| 3
|
|
275
|
A
|
Lights Out
|
PROGRAMMING
| 900
|
[
"implementation"
] | null | null |
Lenny is playing a game on a 3<=×<=3 grid of lights. In the beginning of the game all lights are switched on. Pressing any of the lights will toggle it and all side-adjacent lights. The goal of the game is to switch all the lights off. We consider the toggling as follows: if the light was switched on then it will be switched off, if it was switched off then it will be switched on.
Lenny has spent some time playing with the grid and by now he has pressed each light a certain number of times. Given the number of times each light is pressed, you have to print the current state of each light.
|
The input consists of three rows. Each row contains three integers each between 0 to 100 inclusive. The *j*-th number in the *i*-th row is the number of times the *j*-th light of the *i*-th row of the grid is pressed.
|
Print three lines, each containing three characters. The *j*-th character of the *i*-th line is "1" if and only if the corresponding light is switched on, otherwise it's "0".
|
[
"1 0 0\n0 0 0\n0 0 1\n",
"1 0 1\n8 8 8\n2 0 3\n"
] |
[
"001\n010\n100\n",
"010\n011\n100\n"
] |
none
| 500
|
[
{
"input": "1 0 0\n0 0 0\n0 0 1",
"output": "001\n010\n100"
},
{
"input": "1 0 1\n8 8 8\n2 0 3",
"output": "010\n011\n100"
},
{
"input": "13 85 77\n25 50 45\n65 79 9",
"output": "000\n010\n000"
},
{
"input": "96 95 5\n8 84 74\n67 31 61",
"output": "011\n011\n101"
},
{
"input": "24 54 37\n60 63 6\n1 84 26",
"output": "110\n101\n011"
},
{
"input": "23 10 40\n15 6 40\n92 80 77",
"output": "101\n100\n000"
},
{
"input": "62 74 80\n95 74 93\n2 47 95",
"output": "010\n001\n110"
},
{
"input": "80 83 48\n26 0 66\n47 76 37",
"output": "000\n000\n010"
},
{
"input": "32 15 65\n7 54 36\n5 51 3",
"output": "111\n101\n001"
},
{
"input": "22 97 12\n71 8 24\n100 21 64",
"output": "100\n001\n100"
},
{
"input": "46 37 13\n87 0 50\n90 8 55",
"output": "111\n011\n000"
},
{
"input": "57 43 58\n20 82 83\n66 16 52",
"output": "111\n010\n110"
},
{
"input": "45 56 93\n47 51 59\n18 51 63",
"output": "101\n011\n100"
},
{
"input": "47 66 67\n14 1 37\n27 81 69",
"output": "001\n001\n110"
},
{
"input": "26 69 69\n85 18 23\n14 22 74",
"output": "110\n001\n010"
},
{
"input": "10 70 65\n94 27 25\n74 66 30",
"output": "111\n010\n100"
},
{
"input": "97 1 74\n15 99 1\n88 68 86",
"output": "001\n011\n000"
},
{
"input": "36 48 42\n45 41 66\n26 64 1",
"output": "001\n111\n010"
},
{
"input": "52 81 97\n29 77 71\n66 11 2",
"output": "100\n100\n111"
},
{
"input": "18 66 33\n19 49 49\n48 46 26",
"output": "011\n100\n000"
},
{
"input": "68 79 52\n51 39 100\n29 14 26",
"output": "110\n000\n111"
},
{
"input": "91 69 77\n91 26 64\n91 88 57",
"output": "001\n011\n110"
},
{
"input": "16 69 64\n48 21 80\n81 51 51",
"output": "010\n101\n111"
},
{
"input": "96 14 2\n100 18 12\n65 34 89",
"output": "111\n010\n010"
},
{
"input": "93 95 90\n8 59 42\n53 13 19",
"output": "100\n001\n111"
},
{
"input": "71 84 18\n100 19 67\n9 76 15",
"output": "010\n010\n001"
},
{
"input": "38 93 85\n21 88 64\n4 96 25",
"output": "111\n011\n000"
},
{
"input": "75 20 20\n60 5 78\n77 4 69",
"output": "011\n001\n000"
},
{
"input": "65 70 96\n19 6 83\n33 37 82",
"output": "100\n000\n011"
},
{
"input": "11 13 60\n17 13 46\n42 21 39",
"output": "000\n011\n101"
},
{
"input": "0 0 0\n0 0 0\n0 0 0",
"output": "111\n111\n111"
},
{
"input": "0 0 0\n0 1 0\n0 0 0",
"output": "101\n000\n101"
},
{
"input": "0 0 0\n0 0 0\n0 0 1",
"output": "111\n110\n100"
}
] | 1,649,733,995
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 33
| 62
| 512,000
|
# 275A - Lights Out
def lol(x):
if x == 1:
return 0
else:
return 1
l = [[1, 1, 1, 1, 1], [1, 1, 1, 1, 1], [
1, 1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1]]
m = [[0, 0, 0, 0, 0]]
for i in range(3):
m.append([0]+list(map(int, input().split()))+[0])
m.append([0, 0, 0, 0, 0])
for i in range(1, 4):
for j in range(1, 4):
if m[i][j] % 2 == 1:
l[i][j-1] = (l[i][j-1]+1) % 2
l[i][j+1] = lol(l[i][j+1])
l[i-1][j] = lol(l[i-1][j])
l[i+1][j] = lol(l[i+1][j])
l[i][j] = lol(l[i][j])
for i in range(1, 4):
print(*l[i][1:4], sep='')
|
Title: Lights Out
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Lenny is playing a game on a 3<=×<=3 grid of lights. In the beginning of the game all lights are switched on. Pressing any of the lights will toggle it and all side-adjacent lights. The goal of the game is to switch all the lights off. We consider the toggling as follows: if the light was switched on then it will be switched off, if it was switched off then it will be switched on.
Lenny has spent some time playing with the grid and by now he has pressed each light a certain number of times. Given the number of times each light is pressed, you have to print the current state of each light.
Input Specification:
The input consists of three rows. Each row contains three integers each between 0 to 100 inclusive. The *j*-th number in the *i*-th row is the number of times the *j*-th light of the *i*-th row of the grid is pressed.
Output Specification:
Print three lines, each containing three characters. The *j*-th character of the *i*-th line is "1" if and only if the corresponding light is switched on, otherwise it's "0".
Demo Input:
['1 0 0\n0 0 0\n0 0 1\n', '1 0 1\n8 8 8\n2 0 3\n']
Demo Output:
['001\n010\n100\n', '010\n011\n100\n']
Note:
none
|
```python
# 275A - Lights Out
def lol(x):
if x == 1:
return 0
else:
return 1
l = [[1, 1, 1, 1, 1], [1, 1, 1, 1, 1], [
1, 1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1]]
m = [[0, 0, 0, 0, 0]]
for i in range(3):
m.append([0]+list(map(int, input().split()))+[0])
m.append([0, 0, 0, 0, 0])
for i in range(1, 4):
for j in range(1, 4):
if m[i][j] % 2 == 1:
l[i][j-1] = (l[i][j-1]+1) % 2
l[i][j+1] = lol(l[i][j+1])
l[i-1][j] = lol(l[i-1][j])
l[i+1][j] = lol(l[i+1][j])
l[i][j] = lol(l[i][j])
for i in range(1, 4):
print(*l[i][1:4], sep='')
```
| 3
|
|
709
|
A
|
Juicer
|
PROGRAMMING
| 900
|
[
"implementation"
] | null | null |
Kolya is going to make fresh orange juice. He has *n* oranges of sizes *a*1,<=*a*2,<=...,<=*a**n*. Kolya will put them in the juicer in the fixed order, starting with orange of size *a*1, then orange of size *a*2 and so on. To be put in the juicer the orange must have size not exceeding *b*, so if Kolya sees an orange that is strictly greater he throws it away and continues with the next one.
The juicer has a special section to collect waste. It overflows if Kolya squeezes oranges of the total size strictly greater than *d*. When it happens Kolya empties the waste section (even if there are no more oranges) and continues to squeeze the juice. How many times will he have to empty the waste section?
|
The first line of the input contains three integers *n*, *b* and *d* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*b*<=≤<=*d*<=≤<=1<=000<=000) — the number of oranges, the maximum size of the orange that fits in the juicer and the value *d*, which determines the condition when the waste section should be emptied.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000<=000) — sizes of the oranges listed in the order Kolya is going to try to put them in the juicer.
|
Print one integer — the number of times Kolya will have to empty the waste section.
|
[
"2 7 10\n5 6\n",
"1 5 10\n7\n",
"3 10 10\n5 7 7\n",
"1 1 1\n1\n"
] |
[
"1\n",
"0\n",
"1\n",
"0\n"
] |
In the first sample, Kolya will squeeze the juice from two oranges and empty the waste section afterwards.
In the second sample, the orange won't fit in the juicer so Kolya will have no juice at all.
| 500
|
[
{
"input": "2 7 10\n5 6",
"output": "1"
},
{
"input": "1 5 10\n7",
"output": "0"
},
{
"input": "3 10 10\n5 7 7",
"output": "1"
},
{
"input": "1 1 1\n1",
"output": "0"
},
{
"input": "2 951637 951638\n44069 951637",
"output": "1"
},
{
"input": "50 100 129\n55 130 91 19 116 3 63 52 104 76 75 27 151 99 149 147 39 148 84 9 132 49 40 112 124 141 144 93 36 32 146 74 48 38 150 55 94 32 107 69 77 81 33 57 62 98 78 127 154 126",
"output": "12"
},
{
"input": "100 1000 1083\n992 616 818 359 609 783 263 989 501 929 362 394 919 1081 870 830 1097 975 62 346 531 367 323 457 707 360 949 334 867 116 478 417 961 963 1029 114 867 1008 988 916 983 1077 959 942 572 961 579 318 721 337 488 717 111 70 416 685 987 130 353 107 61 191 827 849 106 815 211 953 111 398 889 860 801 71 375 320 395 1059 116 222 931 444 582 74 677 655 88 173 686 491 661 186 114 832 615 814 791 464 517 850",
"output": "36"
},
{
"input": "2 6 8\n2 1",
"output": "0"
},
{
"input": "5 15 16\n7 11 5 12 8",
"output": "2"
},
{
"input": "15 759966 759967\n890397 182209 878577 548548 759966 812923 759966 860479 200595 381358 299175 339368 759966 907668 69574",
"output": "4"
},
{
"input": "5 234613 716125\n642626 494941 234613 234613 234613",
"output": "0"
},
{
"input": "50 48547 567054\n529808 597004 242355 559114 78865 537318 631455 733020 655072 645093 309010 855034 306058 625046 524574 834944 27330 664392 443637 821584 338013 490702 289520 675471 885846 258814 134220 571301 84875 94132 200425 928833 375166 521232 317961 175315 947093 89971 322071 174033 48547 998535 954205 704114 943163 438900 48547 538422 48547 48547",
"output": "0"
},
{
"input": "5 10 20\n10 10 10 10 1",
"output": "1"
},
{
"input": "5 10 11\n10 10 10 10 1",
"output": "2"
},
{
"input": "3 10 10\n4 3 3",
"output": "0"
},
{
"input": "3 5 5\n5 5 5",
"output": "1"
},
{
"input": "3 4 14\n5 5 5",
"output": "0"
},
{
"input": "2 7 10\n1234 1234",
"output": "0"
},
{
"input": "1 5 6\n10",
"output": "0"
},
{
"input": "3 4 6\n1 2 3",
"output": "0"
},
{
"input": "5 10 12\n13 13 13 13 13",
"output": "0"
},
{
"input": "3 4 5\n5 7 9",
"output": "0"
},
{
"input": "3 10 100\n5 5 5",
"output": "0"
},
{
"input": "5 1 2\n2 2 2 2 2",
"output": "0"
},
{
"input": "5 5 5\n5 5 5 5 5",
"output": "2"
},
{
"input": "2 2 5\n5 5",
"output": "0"
},
{
"input": "3 1 4\n2 2 2",
"output": "0"
}
] | 1,644,576,075
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 58
| 155
| 14,540,800
|
def main():
n, b, d = list(map(int, input().split()))
arr = list(map(int, input().split()))
s, counter = 0, 0
for element in arr:
if element <= b:
s += element
if s > d:
counter += 1
s = 0
print(counter)
if __name__ == "__main__":
main()
|
Title: Juicer
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kolya is going to make fresh orange juice. He has *n* oranges of sizes *a*1,<=*a*2,<=...,<=*a**n*. Kolya will put them in the juicer in the fixed order, starting with orange of size *a*1, then orange of size *a*2 and so on. To be put in the juicer the orange must have size not exceeding *b*, so if Kolya sees an orange that is strictly greater he throws it away and continues with the next one.
The juicer has a special section to collect waste. It overflows if Kolya squeezes oranges of the total size strictly greater than *d*. When it happens Kolya empties the waste section (even if there are no more oranges) and continues to squeeze the juice. How many times will he have to empty the waste section?
Input Specification:
The first line of the input contains three integers *n*, *b* and *d* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*b*<=≤<=*d*<=≤<=1<=000<=000) — the number of oranges, the maximum size of the orange that fits in the juicer and the value *d*, which determines the condition when the waste section should be emptied.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000<=000) — sizes of the oranges listed in the order Kolya is going to try to put them in the juicer.
Output Specification:
Print one integer — the number of times Kolya will have to empty the waste section.
Demo Input:
['2 7 10\n5 6\n', '1 5 10\n7\n', '3 10 10\n5 7 7\n', '1 1 1\n1\n']
Demo Output:
['1\n', '0\n', '1\n', '0\n']
Note:
In the first sample, Kolya will squeeze the juice from two oranges and empty the waste section afterwards.
In the second sample, the orange won't fit in the juicer so Kolya will have no juice at all.
|
```python
def main():
n, b, d = list(map(int, input().split()))
arr = list(map(int, input().split()))
s, counter = 0, 0
for element in arr:
if element <= b:
s += element
if s > d:
counter += 1
s = 0
print(counter)
if __name__ == "__main__":
main()
```
| 3
|
|
509
|
A
|
Maximum in Table
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation"
] | null | null |
An *n*<=×<=*n* table *a* is defined as follows:
- The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the remaining elements are defined by the formula *a**i*,<=*j*<==<=*a**i*<=-<=1,<=*j*<=+<=*a**i*,<=*j*<=-<=1.
These conditions define all the values in the table.
You are given a number *n*. You need to determine the maximum value in the *n*<=×<=*n* table defined by the rules above.
|
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
|
Print a single line containing a positive integer *m* — the maximum value in the table.
|
[
"1\n",
"5\n"
] |
[
"1",
"70"
] |
In the second test the rows of the table look as follows:
| 0
|
[
{
"input": "1",
"output": "1"
},
{
"input": "5",
"output": "70"
},
{
"input": "2",
"output": "2"
},
{
"input": "3",
"output": "6"
},
{
"input": "4",
"output": "20"
},
{
"input": "6",
"output": "252"
},
{
"input": "7",
"output": "924"
},
{
"input": "9",
"output": "12870"
},
{
"input": "10",
"output": "48620"
},
{
"input": "8",
"output": "3432"
}
] | 1,603,218,309
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 10
| 93
| 307,200
|
def create_2d_arr2(m, n):
arr2d = []
for i in range(m):
internal_arr = []
for j in range(n):
internal_arr.append(1)
arr2d.append(internal_arr)
return arr2d
def print_matrix(arr):
for I in arr:
for el in I:
print(el, end=' ')
print()
# 1 задача - Художник
# w, h = map(int, input().split())
# n = int(input())
# a = [list(map(int, input().split())) for i in range(n)]
#
# pole = create_2d_arr2(h, w)
# count = 0
# for t in range(n):
# for i in range(a[t][0], a[t][2]):
# for j in range(a[t][1], a[t][3]):
# pole[i][j] = 0
# for i in range(len(pole)):
# count += sum(pole[i])
# print(*pole[i])
# print(count)
# 2 задача A. Максимум в таблице
n = int(input())
a = create_2d_arr2(n, n)
for i in range(1, n):
for j in range(1, n):
a[i][j] = a[i - 1][j] + a[i][j - 1]
print(max(a[-1]))
# https://codeforces.com/problemset/problem/509/A
|
Title: Maximum in Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
An *n*<=×<=*n* table *a* is defined as follows:
- The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the remaining elements are defined by the formula *a**i*,<=*j*<==<=*a**i*<=-<=1,<=*j*<=+<=*a**i*,<=*j*<=-<=1.
These conditions define all the values in the table.
You are given a number *n*. You need to determine the maximum value in the *n*<=×<=*n* table defined by the rules above.
Input Specification:
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
Output Specification:
Print a single line containing a positive integer *m* — the maximum value in the table.
Demo Input:
['1\n', '5\n']
Demo Output:
['1', '70']
Note:
In the second test the rows of the table look as follows:
|
```python
def create_2d_arr2(m, n):
arr2d = []
for i in range(m):
internal_arr = []
for j in range(n):
internal_arr.append(1)
arr2d.append(internal_arr)
return arr2d
def print_matrix(arr):
for I in arr:
for el in I:
print(el, end=' ')
print()
# 1 задача - Художник
# w, h = map(int, input().split())
# n = int(input())
# a = [list(map(int, input().split())) for i in range(n)]
#
# pole = create_2d_arr2(h, w)
# count = 0
# for t in range(n):
# for i in range(a[t][0], a[t][2]):
# for j in range(a[t][1], a[t][3]):
# pole[i][j] = 0
# for i in range(len(pole)):
# count += sum(pole[i])
# print(*pole[i])
# print(count)
# 2 задача A. Максимум в таблице
n = int(input())
a = create_2d_arr2(n, n)
for i in range(1, n):
for j in range(1, n):
a[i][j] = a[i - 1][j] + a[i][j - 1]
print(max(a[-1]))
# https://codeforces.com/problemset/problem/509/A
```
| 3
|
|
734
|
A
|
Anton and Danik
|
PROGRAMMING
| 800
|
[
"implementation",
"strings"
] | null | null |
Anton likes to play chess, and so does his friend Danik.
Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.
Now Anton wonders, who won more games, he or Danik? Help him determine this.
|
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of games played.
The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game.
|
If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.
If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.
If Anton and Danik won the same number of games, print "Friendship" (without quotes).
|
[
"6\nADAAAA\n",
"7\nDDDAADA\n",
"6\nDADADA\n"
] |
[
"Anton\n",
"Danik\n",
"Friendship\n"
] |
In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".
In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".
In the third sample, both Anton and Danik won 3 games and the answer is "Friendship".
| 500
|
[
{
"input": "6\nADAAAA",
"output": "Anton"
},
{
"input": "7\nDDDAADA",
"output": "Danik"
},
{
"input": "6\nDADADA",
"output": "Friendship"
},
{
"input": "10\nDDDDADDADD",
"output": "Danik"
},
{
"input": "40\nAAAAAAAAADDAAAAAAAAAAADADDAAAAAAAAAAADAA",
"output": "Anton"
},
{
"input": "200\nDDDDDDDADDDDDDAADADAADAAADAADADAAADDDADDDDDDADDDAADDDAADADDDDDADDDAAAADAAADDDDDAAADAADDDAAAADDADADDDAADDAADAAADAADAAAADDAADDADAAAADADDDAAAAAADDAADAADAADADDDAAADAAAADADDADAAAAAADADADDDADDDAADDADDDAAAAD",
"output": "Friendship"
},
{
"input": "1\nA",
"output": "Anton"
},
{
"input": "1\nD",
"output": "Danik"
},
{
"input": "2\nDA",
"output": "Friendship"
},
{
"input": "4\nDADA",
"output": "Friendship"
},
{
"input": "4\nDAAD",
"output": "Friendship"
},
{
"input": "3\nADD",
"output": "Danik"
},
{
"input": "3\nDAD",
"output": "Danik"
},
{
"input": "2\nDA",
"output": "Friendship"
},
{
"input": "379\nAADAAAAAADDAAAAAADAADADADDAAAAADADDAADAAAADDDADAAAAAAADAADAAAAAAADAAAAAAAAADAAAAAAADAAAAAAAAAAADDDADAAAAAAAADAADADAAAADAAAAAAAAAAAAAAAAADAAAADDDAADAAAAAAADAAADAAADAADDDADDAAADAAAAAADDDADDDAAADAAAADAAAAAAAAADAAADAAAAAAAAADAAAAAAAAAAAAAAAAAADADAAAAAAAAAAADAAAAADAAAADAAAAAAAAAAAAADADAADAAAAAAAADAADAAAAAAAADAAAAAAAADDDAAAAAADAAADAAAAAADAADAAAAAADAAAADADAADAAAAAADAAAADAADDAADAADAAA",
"output": "Anton"
}
] | 1,698,242,105
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 25
| 46
| 102,400
|
n = int(input()) # Number of games
s = input() # Outcome of each game
# Count the number of games won by Anton and Danik
anton_wins = s.count('A')
danik_wins = s.count('D')
# Compare the counts to determine the winner
if anton_wins > danik_wins:
print("Anton")
elif anton_wins < danik_wins:
print("Danik")
else:
print("Friendship")
|
Title: Anton and Danik
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Anton likes to play chess, and so does his friend Danik.
Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.
Now Anton wonders, who won more games, he or Danik? Help him determine this.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of games played.
The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game.
Output Specification:
If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.
If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.
If Anton and Danik won the same number of games, print "Friendship" (without quotes).
Demo Input:
['6\nADAAAA\n', '7\nDDDAADA\n', '6\nDADADA\n']
Demo Output:
['Anton\n', 'Danik\n', 'Friendship\n']
Note:
In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".
In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".
In the third sample, both Anton and Danik won 3 games and the answer is "Friendship".
|
```python
n = int(input()) # Number of games
s = input() # Outcome of each game
# Count the number of games won by Anton and Danik
anton_wins = s.count('A')
danik_wins = s.count('D')
# Compare the counts to determine the winner
if anton_wins > danik_wins:
print("Anton")
elif anton_wins < danik_wins:
print("Danik")
else:
print("Friendship")
```
| 3
|
|
928
|
C
|
Dependency management
|
PROGRAMMING
| 1,900
|
[
"*special",
"graphs",
"implementation"
] | null | null |
Polycarp is currently developing a project in Vaja language and using a popular dependency management system called Vamen. From Vamen's point of view both Vaja project and libraries are treated projects for simplicity.
A project in Vaja has its own uniqie non-empty name consisting of lowercase latin letters with length not exceeding 10 and version — positive integer from 1 to 106. Each project (keep in mind that it is determined by both its name and version) might depend on other projects. For sure, there are no cyclic dependencies.
You're given a list of project descriptions. The first of the given projects is the one being developed by Polycarp at this moment. Help Polycarp determine all projects that his project depends on (directly or via a certain chain).
It's possible that Polycarp's project depends on two different versions of some project. In this case collision resolving is applied, i.e. for each such project the system chooses the version that minimizes the distance from it to Polycarp's project. If there are several options, the newer (with the maximum version) is preferred. This version is considered actual; other versions and their dependencies are ignored.
More formal, choose such a set of projects of minimum possible size that the following conditions hold:
- Polycarp's project is chosen; - Polycarp's project depends (directly or indirectly) on all other projects in the set; - no two projects share the name; - for each project *x* that some other project in the set depends on we have either *x* or some *y* with other version and shorter chain to Polycarp's project chosen. In case of ties the newer one is chosen.
Output all Polycarp's project's dependencies (Polycarp's project itself should't be printed) in lexicographical order.
|
The first line contains an only integer *n* (1<=≤<=*n*<=≤<=1<=000) — the number of projects in Vaja.
The following lines contain the project descriptions. Each project is described by a line consisting of its name and version separated by space. The next line gives the number of direct dependencies (from 0 to *n*<=-<=1) and the dependencies themselves (one in a line) in arbitrary order. Each dependency is specified by its name and version. The projects are also given in arbitrary order, but the first of them is always Polycarp's. Project descriptions are separated by one empty line. Refer to samples for better understanding.
It's guaranteed that there are no cyclic dependencies.
|
Output all Polycarp's project's dependencies in lexicographical order.
|
[
"4\na 3\n2\nb 1\nc 1\n \nb 2\n0\n \nb 1\n1\nb 2\n \nc 1\n1\nb 2\n",
"9\ncodehorses 5\n3\nwebfrmk 6\nmashadb 1\nmashadb 2\n \ncommons 2\n0\n \nmashadb 3\n0\n \nwebfrmk 6\n2\nmashadb 3\ncommons 2\n \nextra 4\n1\nextra 3\n \nextra 3\n0\n \nextra 1\n0\n \nmashadb 1\n1\nextra 3\n \nmashadb 2\n1\nextra 1\n",
"3\nabc 1\n2\nabc 3\ncba 2\n\nabc 3\n0\n\ncba 2\n0\n"
] |
[
"2\nb 1\nc 1\n",
"4\ncommons 2\nextra 1\nmashadb 2\nwebfrmk 6\n",
"1\ncba 2\n"
] |
The first sample is given in the pic below. Arrow from *A* to *B* means that *B* directly depends on *A*. Projects that Polycarp's project «a» (version 3) depends on are painted black.
The second sample is again given in the pic below. Arrow from *A* to *B* means that *B* directly depends on *A*. Projects that Polycarp's project «codehorses» (version 5) depends on are paint it black. Note that «extra 1» is chosen instead of «extra 3» since «mashadb 1» and all of its dependencies are ignored due to «mashadb 2».
| 2,000
|
[
{
"input": "4\na 3\n2\nb 1\nc 1\n\nb 2\n0\n\nb 1\n1\nb 2\n\nc 1\n1\nb 2",
"output": "2\nb 1\nc 1"
},
{
"input": "9\ncodehorses 5\n3\nwebfrmk 6\nmashadb 1\nmashadb 2\n\ncommons 2\n0\n\nmashadb 3\n0\n\nwebfrmk 6\n2\nmashadb 3\ncommons 2\n\nextra 4\n1\nextra 3\n\nextra 3\n0\n\nextra 1\n0\n\nmashadb 1\n1\nextra 3\n\nmashadb 2\n1\nextra 1",
"output": "4\ncommons 2\nextra 1\nmashadb 2\nwebfrmk 6"
},
{
"input": "3\nabc 1\n2\nabc 3\ncba 2\n\nabc 3\n0\n\ncba 2\n0",
"output": "1\ncba 2"
},
{
"input": "1\nabc 1000000\n0",
"output": "0"
},
{
"input": "3\nppdpd 283157\n1\npddpdpp 424025\n\nppdpd 529292\n1\nppdpd 283157\n\npddpdpp 424025\n0",
"output": "1\npddpdpp 424025"
},
{
"input": "5\nabbzzz 646068\n0\n\nzabza 468048\n2\nbb 902619\nzabza 550912\n\nzabza 217401\n2\nabbzzz 646068\nbb 902619\n\nzabza 550912\n1\nzabza 217401\n\nbb 902619\n1\nabbzzz 646068",
"output": "0"
},
{
"input": "5\nyyyy 223967\n1\nyyyyyyy 254197\n\nyyyyyyy 254197\n0\n\ny 442213\n0\n\ny 965022\n1\nyyyyyyy 254197\n\nyyyy 766922\n4\nyyyyyyy 254197\ny 442213\nyyyy 223967\ny 965022",
"output": "1\nyyyyyyy 254197"
},
{
"input": "3\nvvgvvgv 991444\n1\ngvgvgvgvgg 206648\n\nvvgvvgv 296188\n0\n\ngvgvgvgvgg 206648\n1\nvvgvvgv 296188",
"output": "1\ngvgvgvgvgg 206648"
},
{
"input": "5\ntctocototo 984516\n1\ncttocottt 486791\n\ntctocototo 688522\n2\ncttocottt 486791\ntctocototo 984516\n\ncttocottt 486791\n0\n\ntctocototo 676435\n1\ntctocototo 394244\n\ntctocototo 394244\n2\ntctocototo 688522\ncttocottt 486791",
"output": "1\ncttocottt 486791"
},
{
"input": "5\nggggggggg 202537\n4\ngggggggg 868552\ngggg 234633\ngggg 402994\ngggggggg 86863\n\ngggg 402994\n0\n\ngggggggg 868552\n1\ngggg 234633\n\ngggg 234633\n1\ngggg 402994\n\ngggggggg 86863\n0",
"output": "2\ngggg 402994\ngggggggg 868552"
},
{
"input": "4\ncf 1\n2\ndb 1\ndb 2\n\ndb 2\n0\n\ndb 1\n1\nold 1\n\nold 1\n0",
"output": "1\ndb 2"
},
{
"input": "5\ncf 1\n2\ndb 1\ndb 2\n\ndb 2\n1\nold 1\n\ndb 1\n1\nold 2\n\nold 1\n0\n\nold 2\n0",
"output": "2\ndb 2\nold 1"
}
] | 1,669,148,994
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 49
| 1,278
| 47,308,800
|
n = int(input())
n = n - 1
def par():
s,x = input().split()
x = int(x)
a = []
n = int(input())
for i in range(n):
r,m = input().split()
m = int(m)
a.append(tuple([r,m]))
return tuple([s,x]),a
root = par()
d = {}
for i in range(n):
input()
a,b = par()
d[a] = b
c = {root[0][0]}
a = []
b = root[1]
while b != []:
b.sort()
b.reverse()
i = 0
while i<len(b):
if not(b[i][0] in c):
c.add(b[i][0])
i += 1
else:
b.pop(i)
a= a + b
f = []
for i in b:
f += d[i]
b = f
a.sort()
print(len(a))
for i in a:
print(*i)
|
Title: Dependency management
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp is currently developing a project in Vaja language and using a popular dependency management system called Vamen. From Vamen's point of view both Vaja project and libraries are treated projects for simplicity.
A project in Vaja has its own uniqie non-empty name consisting of lowercase latin letters with length not exceeding 10 and version — positive integer from 1 to 106. Each project (keep in mind that it is determined by both its name and version) might depend on other projects. For sure, there are no cyclic dependencies.
You're given a list of project descriptions. The first of the given projects is the one being developed by Polycarp at this moment. Help Polycarp determine all projects that his project depends on (directly or via a certain chain).
It's possible that Polycarp's project depends on two different versions of some project. In this case collision resolving is applied, i.e. for each such project the system chooses the version that minimizes the distance from it to Polycarp's project. If there are several options, the newer (with the maximum version) is preferred. This version is considered actual; other versions and their dependencies are ignored.
More formal, choose such a set of projects of minimum possible size that the following conditions hold:
- Polycarp's project is chosen; - Polycarp's project depends (directly or indirectly) on all other projects in the set; - no two projects share the name; - for each project *x* that some other project in the set depends on we have either *x* or some *y* with other version and shorter chain to Polycarp's project chosen. In case of ties the newer one is chosen.
Output all Polycarp's project's dependencies (Polycarp's project itself should't be printed) in lexicographical order.
Input Specification:
The first line contains an only integer *n* (1<=≤<=*n*<=≤<=1<=000) — the number of projects in Vaja.
The following lines contain the project descriptions. Each project is described by a line consisting of its name and version separated by space. The next line gives the number of direct dependencies (from 0 to *n*<=-<=1) and the dependencies themselves (one in a line) in arbitrary order. Each dependency is specified by its name and version. The projects are also given in arbitrary order, but the first of them is always Polycarp's. Project descriptions are separated by one empty line. Refer to samples for better understanding.
It's guaranteed that there are no cyclic dependencies.
Output Specification:
Output all Polycarp's project's dependencies in lexicographical order.
Demo Input:
['4\na 3\n2\nb 1\nc 1\n\xa0\nb 2\n0\n\xa0\nb 1\n1\nb 2\n\xa0\nc 1\n1\nb 2\n', '9\ncodehorses 5\n3\nwebfrmk 6\nmashadb 1\nmashadb 2\n\xa0\ncommons 2\n0\n\xa0\nmashadb 3\n0\n\xa0\nwebfrmk 6\n2\nmashadb 3\ncommons 2\n\xa0\nextra 4\n1\nextra 3\n\xa0\nextra 3\n0\n\xa0\nextra 1\n0\n\xa0\nmashadb 1\n1\nextra 3\n\xa0\nmashadb 2\n1\nextra 1\n', '3\nabc 1\n2\nabc 3\ncba 2\n\nabc 3\n0\n\ncba 2\n0\n']
Demo Output:
['2\nb 1\nc 1\n', '4\ncommons 2\nextra 1\nmashadb 2\nwebfrmk 6\n', '1\ncba 2\n']
Note:
The first sample is given in the pic below. Arrow from *A* to *B* means that *B* directly depends on *A*. Projects that Polycarp's project «a» (version 3) depends on are painted black.
The second sample is again given in the pic below. Arrow from *A* to *B* means that *B* directly depends on *A*. Projects that Polycarp's project «codehorses» (version 5) depends on are paint it black. Note that «extra 1» is chosen instead of «extra 3» since «mashadb 1» and all of its dependencies are ignored due to «mashadb 2».
|
```python
n = int(input())
n = n - 1
def par():
s,x = input().split()
x = int(x)
a = []
n = int(input())
for i in range(n):
r,m = input().split()
m = int(m)
a.append(tuple([r,m]))
return tuple([s,x]),a
root = par()
d = {}
for i in range(n):
input()
a,b = par()
d[a] = b
c = {root[0][0]}
a = []
b = root[1]
while b != []:
b.sort()
b.reverse()
i = 0
while i<len(b):
if not(b[i][0] in c):
c.add(b[i][0])
i += 1
else:
b.pop(i)
a= a + b
f = []
for i in b:
f += d[i]
b = f
a.sort()
print(len(a))
for i in a:
print(*i)
```
| 3
|
|
334
|
A
|
Candy Bags
|
PROGRAMMING
| 1,000
|
[
"implementation"
] | null | null |
Gerald has *n* younger brothers and their number happens to be even. One day he bought *n*2 candy bags. One bag has one candy, one bag has two candies, one bag has three candies and so on. In fact, for each integer *k* from 1 to *n*2 he has exactly one bag with *k* candies.
Help him give *n* bags of candies to each brother so that all brothers got the same number of candies.
|
The single line contains a single integer *n* (*n* is even, 2<=≤<=*n*<=≤<=100) — the number of Gerald's brothers.
|
Let's assume that Gerald indexes his brothers with numbers from 1 to *n*. You need to print *n* lines, on the *i*-th line print *n* integers — the numbers of candies in the bags for the *i*-th brother. Naturally, all these numbers should be distinct and be within limits from 1 to *n*2. You can print the numbers in the lines in any order.
It is guaranteed that the solution exists at the given limits.
|
[
"2\n"
] |
[
"1 4\n2 3\n"
] |
The sample shows Gerald's actions if he has two brothers. In this case, his bags contain 1, 2, 3 and 4 candies. He can give the bags with 1 and 4 candies to one brother and the bags with 2 and 3 to the other brother.
| 500
|
[
{
"input": "2",
"output": "1 4\n2 3"
},
{
"input": "4",
"output": "1 16 2 15\n3 14 4 13\n5 12 6 11\n7 10 8 9"
},
{
"input": "6",
"output": "1 36 2 35 3 34\n4 33 5 32 6 31\n7 30 8 29 9 28\n10 27 11 26 12 25\n13 24 14 23 15 22\n16 21 17 20 18 19"
},
{
"input": "8",
"output": "1 64 2 63 3 62 4 61\n5 60 6 59 7 58 8 57\n9 56 10 55 11 54 12 53\n13 52 14 51 15 50 16 49\n17 48 18 47 19 46 20 45\n21 44 22 43 23 42 24 41\n25 40 26 39 27 38 28 37\n29 36 30 35 31 34 32 33"
},
{
"input": "10",
"output": "1 100 2 99 3 98 4 97 5 96\n6 95 7 94 8 93 9 92 10 91\n11 90 12 89 13 88 14 87 15 86\n16 85 17 84 18 83 19 82 20 81\n21 80 22 79 23 78 24 77 25 76\n26 75 27 74 28 73 29 72 30 71\n31 70 32 69 33 68 34 67 35 66\n36 65 37 64 38 63 39 62 40 61\n41 60 42 59 43 58 44 57 45 56\n46 55 47 54 48 53 49 52 50 51"
},
{
"input": "100",
"output": "1 10000 2 9999 3 9998 4 9997 5 9996 6 9995 7 9994 8 9993 9 9992 10 9991 11 9990 12 9989 13 9988 14 9987 15 9986 16 9985 17 9984 18 9983 19 9982 20 9981 21 9980 22 9979 23 9978 24 9977 25 9976 26 9975 27 9974 28 9973 29 9972 30 9971 31 9970 32 9969 33 9968 34 9967 35 9966 36 9965 37 9964 38 9963 39 9962 40 9961 41 9960 42 9959 43 9958 44 9957 45 9956 46 9955 47 9954 48 9953 49 9952 50 9951\n51 9950 52 9949 53 9948 54 9947 55 9946 56 9945 57 9944 58 9943 59 9942 60 9941 61 9940 62 9939 63 9938 64 9937 65 993..."
},
{
"input": "62",
"output": "1 3844 2 3843 3 3842 4 3841 5 3840 6 3839 7 3838 8 3837 9 3836 10 3835 11 3834 12 3833 13 3832 14 3831 15 3830 16 3829 17 3828 18 3827 19 3826 20 3825 21 3824 22 3823 23 3822 24 3821 25 3820 26 3819 27 3818 28 3817 29 3816 30 3815 31 3814\n32 3813 33 3812 34 3811 35 3810 36 3809 37 3808 38 3807 39 3806 40 3805 41 3804 42 3803 43 3802 44 3801 45 3800 46 3799 47 3798 48 3797 49 3796 50 3795 51 3794 52 3793 53 3792 54 3791 55 3790 56 3789 57 3788 58 3787 59 3786 60 3785 61 3784 62 3783\n63 3782 64 3781 65 378..."
},
{
"input": "66",
"output": "1 4356 2 4355 3 4354 4 4353 5 4352 6 4351 7 4350 8 4349 9 4348 10 4347 11 4346 12 4345 13 4344 14 4343 15 4342 16 4341 17 4340 18 4339 19 4338 20 4337 21 4336 22 4335 23 4334 24 4333 25 4332 26 4331 27 4330 28 4329 29 4328 30 4327 31 4326 32 4325 33 4324\n34 4323 35 4322 36 4321 37 4320 38 4319 39 4318 40 4317 41 4316 42 4315 43 4314 44 4313 45 4312 46 4311 47 4310 48 4309 49 4308 50 4307 51 4306 52 4305 53 4304 54 4303 55 4302 56 4301 57 4300 58 4299 59 4298 60 4297 61 4296 62 4295 63 4294 64 4293 65 4292..."
},
{
"input": "18",
"output": "1 324 2 323 3 322 4 321 5 320 6 319 7 318 8 317 9 316\n10 315 11 314 12 313 13 312 14 311 15 310 16 309 17 308 18 307\n19 306 20 305 21 304 22 303 23 302 24 301 25 300 26 299 27 298\n28 297 29 296 30 295 31 294 32 293 33 292 34 291 35 290 36 289\n37 288 38 287 39 286 40 285 41 284 42 283 43 282 44 281 45 280\n46 279 47 278 48 277 49 276 50 275 51 274 52 273 53 272 54 271\n55 270 56 269 57 268 58 267 59 266 60 265 61 264 62 263 63 262\n64 261 65 260 66 259 67 258 68 257 69 256 70 255 71 254 72 253\n73 252 7..."
},
{
"input": "68",
"output": "1 4624 2 4623 3 4622 4 4621 5 4620 6 4619 7 4618 8 4617 9 4616 10 4615 11 4614 12 4613 13 4612 14 4611 15 4610 16 4609 17 4608 18 4607 19 4606 20 4605 21 4604 22 4603 23 4602 24 4601 25 4600 26 4599 27 4598 28 4597 29 4596 30 4595 31 4594 32 4593 33 4592 34 4591\n35 4590 36 4589 37 4588 38 4587 39 4586 40 4585 41 4584 42 4583 43 4582 44 4581 45 4580 46 4579 47 4578 48 4577 49 4576 50 4575 51 4574 52 4573 53 4572 54 4571 55 4570 56 4569 57 4568 58 4567 59 4566 60 4565 61 4564 62 4563 63 4562 64 4561 65 4560..."
},
{
"input": "86",
"output": "1 7396 2 7395 3 7394 4 7393 5 7392 6 7391 7 7390 8 7389 9 7388 10 7387 11 7386 12 7385 13 7384 14 7383 15 7382 16 7381 17 7380 18 7379 19 7378 20 7377 21 7376 22 7375 23 7374 24 7373 25 7372 26 7371 27 7370 28 7369 29 7368 30 7367 31 7366 32 7365 33 7364 34 7363 35 7362 36 7361 37 7360 38 7359 39 7358 40 7357 41 7356 42 7355 43 7354\n44 7353 45 7352 46 7351 47 7350 48 7349 49 7348 50 7347 51 7346 52 7345 53 7344 54 7343 55 7342 56 7341 57 7340 58 7339 59 7338 60 7337 61 7336 62 7335 63 7334 64 7333 65 7332..."
},
{
"input": "96",
"output": "1 9216 2 9215 3 9214 4 9213 5 9212 6 9211 7 9210 8 9209 9 9208 10 9207 11 9206 12 9205 13 9204 14 9203 15 9202 16 9201 17 9200 18 9199 19 9198 20 9197 21 9196 22 9195 23 9194 24 9193 25 9192 26 9191 27 9190 28 9189 29 9188 30 9187 31 9186 32 9185 33 9184 34 9183 35 9182 36 9181 37 9180 38 9179 39 9178 40 9177 41 9176 42 9175 43 9174 44 9173 45 9172 46 9171 47 9170 48 9169\n49 9168 50 9167 51 9166 52 9165 53 9164 54 9163 55 9162 56 9161 57 9160 58 9159 59 9158 60 9157 61 9156 62 9155 63 9154 64 9153 65 9152..."
},
{
"input": "12",
"output": "1 144 2 143 3 142 4 141 5 140 6 139\n7 138 8 137 9 136 10 135 11 134 12 133\n13 132 14 131 15 130 16 129 17 128 18 127\n19 126 20 125 21 124 22 123 23 122 24 121\n25 120 26 119 27 118 28 117 29 116 30 115\n31 114 32 113 33 112 34 111 35 110 36 109\n37 108 38 107 39 106 40 105 41 104 42 103\n43 102 44 101 45 100 46 99 47 98 48 97\n49 96 50 95 51 94 52 93 53 92 54 91\n55 90 56 89 57 88 58 87 59 86 60 85\n61 84 62 83 63 82 64 81 65 80 66 79\n67 78 68 77 69 76 70 75 71 74 72 73"
},
{
"input": "88",
"output": "1 7744 2 7743 3 7742 4 7741 5 7740 6 7739 7 7738 8 7737 9 7736 10 7735 11 7734 12 7733 13 7732 14 7731 15 7730 16 7729 17 7728 18 7727 19 7726 20 7725 21 7724 22 7723 23 7722 24 7721 25 7720 26 7719 27 7718 28 7717 29 7716 30 7715 31 7714 32 7713 33 7712 34 7711 35 7710 36 7709 37 7708 38 7707 39 7706 40 7705 41 7704 42 7703 43 7702 44 7701\n45 7700 46 7699 47 7698 48 7697 49 7696 50 7695 51 7694 52 7693 53 7692 54 7691 55 7690 56 7689 57 7688 58 7687 59 7686 60 7685 61 7684 62 7683 63 7682 64 7681 65 7680..."
},
{
"input": "28",
"output": "1 784 2 783 3 782 4 781 5 780 6 779 7 778 8 777 9 776 10 775 11 774 12 773 13 772 14 771\n15 770 16 769 17 768 18 767 19 766 20 765 21 764 22 763 23 762 24 761 25 760 26 759 27 758 28 757\n29 756 30 755 31 754 32 753 33 752 34 751 35 750 36 749 37 748 38 747 39 746 40 745 41 744 42 743\n43 742 44 741 45 740 46 739 47 738 48 737 49 736 50 735 51 734 52 733 53 732 54 731 55 730 56 729\n57 728 58 727 59 726 60 725 61 724 62 723 63 722 64 721 65 720 66 719 67 718 68 717 69 716 70 715\n71 714 72 713 73 712 74 7..."
},
{
"input": "80",
"output": "1 6400 2 6399 3 6398 4 6397 5 6396 6 6395 7 6394 8 6393 9 6392 10 6391 11 6390 12 6389 13 6388 14 6387 15 6386 16 6385 17 6384 18 6383 19 6382 20 6381 21 6380 22 6379 23 6378 24 6377 25 6376 26 6375 27 6374 28 6373 29 6372 30 6371 31 6370 32 6369 33 6368 34 6367 35 6366 36 6365 37 6364 38 6363 39 6362 40 6361\n41 6360 42 6359 43 6358 44 6357 45 6356 46 6355 47 6354 48 6353 49 6352 50 6351 51 6350 52 6349 53 6348 54 6347 55 6346 56 6345 57 6344 58 6343 59 6342 60 6341 61 6340 62 6339 63 6338 64 6337 65 6336..."
},
{
"input": "48",
"output": "1 2304 2 2303 3 2302 4 2301 5 2300 6 2299 7 2298 8 2297 9 2296 10 2295 11 2294 12 2293 13 2292 14 2291 15 2290 16 2289 17 2288 18 2287 19 2286 20 2285 21 2284 22 2283 23 2282 24 2281\n25 2280 26 2279 27 2278 28 2277 29 2276 30 2275 31 2274 32 2273 33 2272 34 2271 35 2270 36 2269 37 2268 38 2267 39 2266 40 2265 41 2264 42 2263 43 2262 44 2261 45 2260 46 2259 47 2258 48 2257\n49 2256 50 2255 51 2254 52 2253 53 2252 54 2251 55 2250 56 2249 57 2248 58 2247 59 2246 60 2245 61 2244 62 2243 63 2242 64 2241 65 224..."
},
{
"input": "54",
"output": "1 2916 2 2915 3 2914 4 2913 5 2912 6 2911 7 2910 8 2909 9 2908 10 2907 11 2906 12 2905 13 2904 14 2903 15 2902 16 2901 17 2900 18 2899 19 2898 20 2897 21 2896 22 2895 23 2894 24 2893 25 2892 26 2891 27 2890\n28 2889 29 2888 30 2887 31 2886 32 2885 33 2884 34 2883 35 2882 36 2881 37 2880 38 2879 39 2878 40 2877 41 2876 42 2875 43 2874 44 2873 45 2872 46 2871 47 2870 48 2869 49 2868 50 2867 51 2866 52 2865 53 2864 54 2863\n55 2862 56 2861 57 2860 58 2859 59 2858 60 2857 61 2856 62 2855 63 2854 64 2853 65 285..."
},
{
"input": "58",
"output": "1 3364 2 3363 3 3362 4 3361 5 3360 6 3359 7 3358 8 3357 9 3356 10 3355 11 3354 12 3353 13 3352 14 3351 15 3350 16 3349 17 3348 18 3347 19 3346 20 3345 21 3344 22 3343 23 3342 24 3341 25 3340 26 3339 27 3338 28 3337 29 3336\n30 3335 31 3334 32 3333 33 3332 34 3331 35 3330 36 3329 37 3328 38 3327 39 3326 40 3325 41 3324 42 3323 43 3322 44 3321 45 3320 46 3319 47 3318 48 3317 49 3316 50 3315 51 3314 52 3313 53 3312 54 3311 55 3310 56 3309 57 3308 58 3307\n59 3306 60 3305 61 3304 62 3303 63 3302 64 3301 65 330..."
},
{
"input": "64",
"output": "1 4096 2 4095 3 4094 4 4093 5 4092 6 4091 7 4090 8 4089 9 4088 10 4087 11 4086 12 4085 13 4084 14 4083 15 4082 16 4081 17 4080 18 4079 19 4078 20 4077 21 4076 22 4075 23 4074 24 4073 25 4072 26 4071 27 4070 28 4069 29 4068 30 4067 31 4066 32 4065\n33 4064 34 4063 35 4062 36 4061 37 4060 38 4059 39 4058 40 4057 41 4056 42 4055 43 4054 44 4053 45 4052 46 4051 47 4050 48 4049 49 4048 50 4047 51 4046 52 4045 53 4044 54 4043 55 4042 56 4041 57 4040 58 4039 59 4038 60 4037 61 4036 62 4035 63 4034 64 4033\n65 403..."
},
{
"input": "44",
"output": "1 1936 2 1935 3 1934 4 1933 5 1932 6 1931 7 1930 8 1929 9 1928 10 1927 11 1926 12 1925 13 1924 14 1923 15 1922 16 1921 17 1920 18 1919 19 1918 20 1917 21 1916 22 1915\n23 1914 24 1913 25 1912 26 1911 27 1910 28 1909 29 1908 30 1907 31 1906 32 1905 33 1904 34 1903 35 1902 36 1901 37 1900 38 1899 39 1898 40 1897 41 1896 42 1895 43 1894 44 1893\n45 1892 46 1891 47 1890 48 1889 49 1888 50 1887 51 1886 52 1885 53 1884 54 1883 55 1882 56 1881 57 1880 58 1879 59 1878 60 1877 61 1876 62 1875 63 1874 64 1873 65 187..."
}
] | 1,549,899,296
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 21
| 218
| 512,000
|
N = int(input())
L = 1
M = N ** 2
for i in range(N):
for j in range(N // 2):
print(L, end=" ")
L += 1
for k in range(N // 2):
print(M, end=" ")
M -= 1
print("")
|
Title: Candy Bags
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Gerald has *n* younger brothers and their number happens to be even. One day he bought *n*2 candy bags. One bag has one candy, one bag has two candies, one bag has three candies and so on. In fact, for each integer *k* from 1 to *n*2 he has exactly one bag with *k* candies.
Help him give *n* bags of candies to each brother so that all brothers got the same number of candies.
Input Specification:
The single line contains a single integer *n* (*n* is even, 2<=≤<=*n*<=≤<=100) — the number of Gerald's brothers.
Output Specification:
Let's assume that Gerald indexes his brothers with numbers from 1 to *n*. You need to print *n* lines, on the *i*-th line print *n* integers — the numbers of candies in the bags for the *i*-th brother. Naturally, all these numbers should be distinct and be within limits from 1 to *n*2. You can print the numbers in the lines in any order.
It is guaranteed that the solution exists at the given limits.
Demo Input:
['2\n']
Demo Output:
['1 4\n2 3\n']
Note:
The sample shows Gerald's actions if he has two brothers. In this case, his bags contain 1, 2, 3 and 4 candies. He can give the bags with 1 and 4 candies to one brother and the bags with 2 and 3 to the other brother.
|
```python
N = int(input())
L = 1
M = N ** 2
for i in range(N):
for j in range(N // 2):
print(L, end=" ")
L += 1
for k in range(N // 2):
print(M, end=" ")
M -= 1
print("")
```
| 3
|
|
235
|
A
|
LCM Challenge
|
PROGRAMMING
| 1,600
|
[
"number theory"
] | null | null |
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
|
The first line contains an integer *n* (1<=≤<=*n*<=≤<=106) — the *n* mentioned in the statement.
|
Print a single integer — the maximum possible LCM of three not necessarily distinct positive integers that are not greater than *n*.
|
[
"9\n",
"7\n"
] |
[
"504\n",
"210\n"
] |
The least common multiple of some positive integers is the least positive integer which is multiple for each of them.
The result may become very large, 32-bit integer won't be enough. So using 64-bit integers is recommended.
For the last example, we can chose numbers 7, 6, 5 and the LCM of them is 7·6·5 = 210. It is the maximum value we can get.
| 500
|
[
{
"input": "9",
"output": "504"
},
{
"input": "7",
"output": "210"
},
{
"input": "1",
"output": "1"
},
{
"input": "5",
"output": "60"
},
{
"input": "6",
"output": "60"
},
{
"input": "33",
"output": "32736"
},
{
"input": "21",
"output": "7980"
},
{
"input": "2",
"output": "2"
},
{
"input": "41",
"output": "63960"
},
{
"input": "29",
"output": "21924"
},
{
"input": "117",
"output": "1560780"
},
{
"input": "149",
"output": "3241644"
},
{
"input": "733",
"output": "392222436"
},
{
"input": "925",
"output": "788888100"
},
{
"input": "509",
"output": "131096004"
},
{
"input": "829",
"output": "567662724"
},
{
"input": "117",
"output": "1560780"
},
{
"input": "605",
"output": "220348260"
},
{
"input": "245",
"output": "14526540"
},
{
"input": "925",
"output": "788888100"
},
{
"input": "213",
"output": "9527916"
},
{
"input": "53",
"output": "140556"
},
{
"input": "341",
"output": "39303660"
},
{
"input": "21",
"output": "7980"
},
{
"input": "605",
"output": "220348260"
},
{
"input": "149",
"output": "3241644"
},
{
"input": "733",
"output": "392222436"
},
{
"input": "117",
"output": "1560780"
},
{
"input": "53",
"output": "140556"
},
{
"input": "245",
"output": "14526540"
},
{
"input": "829",
"output": "567662724"
},
{
"input": "924",
"output": "783776526"
},
{
"input": "508",
"output": "130065780"
},
{
"input": "700",
"output": "341042100"
},
{
"input": "636",
"output": "254839470"
},
{
"input": "20",
"output": "6460"
},
{
"input": "604",
"output": "218891412"
},
{
"input": "796",
"output": "501826260"
},
{
"input": "732",
"output": "389016270"
},
{
"input": "412",
"output": "69256788"
},
{
"input": "700",
"output": "341042100"
},
{
"input": "244",
"output": "14289372"
},
{
"input": "828",
"output": "563559150"
},
{
"input": "508",
"output": "130065780"
},
{
"input": "796",
"output": "501826260"
},
{
"input": "636",
"output": "254839470"
},
{
"input": "924",
"output": "783776526"
},
{
"input": "245",
"output": "14526540"
},
{
"input": "828",
"output": "563559150"
},
{
"input": "21",
"output": "7980"
},
{
"input": "605",
"output": "220348260"
},
{
"input": "636",
"output": "254839470"
},
{
"input": "924",
"output": "783776526"
},
{
"input": "116",
"output": "1507420"
},
{
"input": "700",
"output": "341042100"
},
{
"input": "732",
"output": "389016270"
},
{
"input": "20",
"output": "6460"
},
{
"input": "508",
"output": "130065780"
},
{
"input": "148",
"output": "3154620"
},
{
"input": "828",
"output": "563559150"
},
{
"input": "763116",
"output": "444394078546562430"
},
{
"input": "756604",
"output": "433115377058855412"
},
{
"input": "447244",
"output": "89460162932862372"
},
{
"input": "372636",
"output": "51742503205363470"
},
{
"input": "546924",
"output": "163597318076822526"
},
{
"input": "540412",
"output": "157823524476316788"
},
{
"input": "714700",
"output": "365063922340784100"
},
{
"input": "520731",
"output": "141201007712496270"
},
{
"input": "695019",
"output": "335728459024850814"
},
{
"input": "688507",
"output": "326379736779169710"
},
{
"input": "862795",
"output": "642275489615199390"
},
{
"input": "668827",
"output": "299184742915995150"
},
{
"input": "810411",
"output": "532248411551110590"
},
{
"input": "836603",
"output": "585540171302562606"
},
{
"input": "978187",
"output": "935975171582120670"
},
{
"input": "816923",
"output": "545182335484592526"
},
{
"input": "958507",
"output": "880611813728059710"
},
{
"input": "984699",
"output": "954792870629291694"
},
{
"input": "642635",
"output": "265393998349453470"
},
{
"input": "296604",
"output": "26092892528622606"
},
{
"input": "1000000",
"output": "999996000003000000"
},
{
"input": "8",
"output": "280"
},
{
"input": "3",
"output": "6"
},
{
"input": "4",
"output": "12"
},
{
"input": "30",
"output": "21924"
},
{
"input": "18",
"output": "4080"
},
{
"input": "12",
"output": "990"
}
] | 1,645,018,909
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 87
| 92
| 0
|
x=int(input())
if x<=2:
print(x)
elif x%2==0 and x%3==0:
print((x-1)*(x-2)*(x-3))
elif x%2==0:
print((x)*(x-1)*(x-3))
else:
print(x*(x-1)*(x-2))
|
Title: LCM Challenge
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=106) — the *n* mentioned in the statement.
Output Specification:
Print a single integer — the maximum possible LCM of three not necessarily distinct positive integers that are not greater than *n*.
Demo Input:
['9\n', '7\n']
Demo Output:
['504\n', '210\n']
Note:
The least common multiple of some positive integers is the least positive integer which is multiple for each of them.
The result may become very large, 32-bit integer won't be enough. So using 64-bit integers is recommended.
For the last example, we can chose numbers 7, 6, 5 and the LCM of them is 7·6·5 = 210. It is the maximum value we can get.
|
```python
x=int(input())
if x<=2:
print(x)
elif x%2==0 and x%3==0:
print((x-1)*(x-2)*(x-3))
elif x%2==0:
print((x)*(x-1)*(x-3))
else:
print(x*(x-1)*(x-2))
```
| 3
|
|
339
|
A
|
Helpful Maths
|
PROGRAMMING
| 800
|
[
"greedy",
"implementation",
"sortings",
"strings"
] | null | null |
Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
|
The first line contains a non-empty string *s* — the sum Xenia needs to count. String *s* contains no spaces. It only contains digits and characters "+". Besides, string *s* is a correct sum of numbers 1, 2 and 3. String *s* is at most 100 characters long.
|
Print the new sum that Xenia can count.
|
[
"3+2+1\n",
"1+1+3+1+3\n",
"2\n"
] |
[
"1+2+3\n",
"1+1+1+3+3\n",
"2\n"
] |
none
| 500
|
[
{
"input": "3+2+1",
"output": "1+2+3"
},
{
"input": "1+1+3+1+3",
"output": "1+1+1+3+3"
},
{
"input": "2",
"output": "2"
},
{
"input": "2+2+1+1+3",
"output": "1+1+2+2+3"
},
{
"input": "2+1+2+2+2+3+1+3+1+2",
"output": "1+1+1+2+2+2+2+2+3+3"
},
{
"input": "1+2+1+2+2+2+2+1+3+3",
"output": "1+1+1+2+2+2+2+2+3+3"
},
{
"input": "2+3+3+1+2+2+2+1+1+2+1+3+2+2+3+3+2+2+3+3+3+1+1+1+3+3+3+2+1+3+2+3+2+1+1+3+3+3+1+2+2+1+2+2+1+2+1+3+1+1",
"output": "1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3"
},
{
"input": "1",
"output": "1"
},
{
"input": "2+1+2+2+1+3+2+3+1+1+2+1+2+2+3+1+1+3+3+3+2+2+3+2+2+2+1+2+1+2+3+2+2+2+1+3+1+3+3+3+1+2+1+2+2+2+2+3+1+1",
"output": "1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3"
},
{
"input": "2+2+1+1+1+3+1+1+3+3+2+3+1+3+1+1+3+1+1+2+2+2+2+1+2+1+2+1+1+1+3+1+3+2+3+2+3+3+1+1+1+2+3+2+1+3+1+3+2+2",
"output": "1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3"
},
{
"input": "3+2+3+3+2+2+1+2+1+2+3+1+2+3+2+3+2+1+2+2+1+1+2+2+3+2+1+3+1+1+3+2+2+2+2+3+3+2+2+3+3+1+1+2+3+3+2+3+3+3",
"output": "1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3"
},
{
"input": "3",
"output": "3"
},
{
"input": "1+1",
"output": "1+1"
},
{
"input": "1+2",
"output": "1+2"
},
{
"input": "1+3",
"output": "1+3"
},
{
"input": "2+1",
"output": "1+2"
},
{
"input": "2+2",
"output": "2+2"
},
{
"input": "2+3",
"output": "2+3"
},
{
"input": "3+1",
"output": "1+3"
},
{
"input": "3+2",
"output": "2+3"
},
{
"input": "3+3",
"output": "3+3"
}
] | 1,698,222,215
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 21
| 92
| 0
|
s = input().replace('+', '')
k = [int(g) for g in s]
k.sort()
if len(k) <= 100:
j = '+'.join([str(h) for h in k])
b =j.replace(',', '+')
print(b)
|
Title: Helpful Maths
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
Input Specification:
The first line contains a non-empty string *s* — the sum Xenia needs to count. String *s* contains no spaces. It only contains digits and characters "+". Besides, string *s* is a correct sum of numbers 1, 2 and 3. String *s* is at most 100 characters long.
Output Specification:
Print the new sum that Xenia can count.
Demo Input:
['3+2+1\n', '1+1+3+1+3\n', '2\n']
Demo Output:
['1+2+3\n', '1+1+1+3+3\n', '2\n']
Note:
none
|
```python
s = input().replace('+', '')
k = [int(g) for g in s]
k.sort()
if len(k) <= 100:
j = '+'.join([str(h) for h in k])
b =j.replace(',', '+')
print(b)
```
| 3
|
|
231
|
A
|
Team
|
PROGRAMMING
| 800
|
[
"brute force",
"greedy"
] | null | null |
One day three best friends Petya, Vasya and Tonya decided to form a team and take part in programming contests. Participants are usually offered several problems during programming contests. Long before the start the friends decided that they will implement a problem if at least two of them are sure about the solution. Otherwise, the friends won't write the problem's solution.
This contest offers *n* problems to the participants. For each problem we know, which friend is sure about the solution. Help the friends find the number of problems for which they will write a solution.
|
The first input line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of problems in the contest. Then *n* lines contain three integers each, each integer is either 0 or 1. If the first number in the line equals 1, then Petya is sure about the problem's solution, otherwise he isn't sure. The second number shows Vasya's view on the solution, the third number shows Tonya's view. The numbers on the lines are separated by spaces.
|
Print a single integer — the number of problems the friends will implement on the contest.
|
[
"3\n1 1 0\n1 1 1\n1 0 0\n",
"2\n1 0 0\n0 1 1\n"
] |
[
"2\n",
"1\n"
] |
In the first sample Petya and Vasya are sure that they know how to solve the first problem and all three of them know how to solve the second problem. That means that they will write solutions for these problems. Only Petya is sure about the solution for the third problem, but that isn't enough, so the friends won't take it.
In the second sample the friends will only implement the second problem, as Vasya and Tonya are sure about the solution.
| 500
|
[
{
"input": "3\n1 1 0\n1 1 1\n1 0 0",
"output": "2"
},
{
"input": "2\n1 0 0\n0 1 1",
"output": "1"
},
{
"input": "1\n1 0 0",
"output": "0"
},
{
"input": "2\n1 0 0\n1 1 1",
"output": "1"
},
{
"input": "5\n1 0 0\n0 1 0\n1 1 1\n0 0 1\n0 0 0",
"output": "1"
},
{
"input": "10\n0 1 0\n0 1 0\n1 1 0\n1 0 0\n0 0 1\n0 1 1\n1 1 1\n1 1 0\n0 0 0\n0 0 0",
"output": "4"
},
{
"input": "15\n0 1 0\n1 0 0\n1 1 0\n1 1 1\n0 1 0\n0 0 1\n1 0 1\n1 0 1\n1 0 1\n0 0 0\n1 1 1\n1 1 0\n0 1 1\n1 1 0\n1 1 1",
"output": "10"
},
{
"input": "50\n0 0 0\n0 1 1\n1 1 1\n0 1 0\n1 0 1\n1 1 1\n0 0 1\n1 0 0\n1 1 0\n1 0 1\n0 1 0\n0 0 1\n1 1 0\n0 1 0\n1 1 0\n0 0 0\n1 1 1\n1 0 1\n0 0 1\n1 1 0\n1 1 1\n0 1 1\n1 1 0\n0 0 0\n0 0 0\n1 1 1\n0 0 0\n1 1 1\n0 1 1\n0 0 1\n0 0 0\n0 0 0\n1 1 0\n1 1 0\n1 0 1\n1 0 0\n1 0 1\n1 0 1\n0 1 1\n1 1 0\n1 1 0\n0 1 0\n1 0 1\n0 0 0\n0 0 0\n0 0 0\n0 0 1\n1 1 1\n0 1 1\n1 0 1",
"output": "29"
},
{
"input": "1\n1 1 1",
"output": "1"
},
{
"input": "8\n0 0 0\n0 0 1\n0 0 0\n0 1 1\n1 0 0\n1 0 1\n1 1 0\n1 1 1",
"output": "4"
},
{
"input": "16\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1",
"output": "16"
}
] | 1,697,890,792
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 21
| 218
| 5,324,800
|
a=int(input())
k=0
s=0
for i in range(a):
b=list(map(int,input().split()))
for x in range (3):
if b[x]==1:
k+=1
if k >= 2:
s+=1
k=0
print(s)
|
Title: Team
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day three best friends Petya, Vasya and Tonya decided to form a team and take part in programming contests. Participants are usually offered several problems during programming contests. Long before the start the friends decided that they will implement a problem if at least two of them are sure about the solution. Otherwise, the friends won't write the problem's solution.
This contest offers *n* problems to the participants. For each problem we know, which friend is sure about the solution. Help the friends find the number of problems for which they will write a solution.
Input Specification:
The first input line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of problems in the contest. Then *n* lines contain three integers each, each integer is either 0 or 1. If the first number in the line equals 1, then Petya is sure about the problem's solution, otherwise he isn't sure. The second number shows Vasya's view on the solution, the third number shows Tonya's view. The numbers on the lines are separated by spaces.
Output Specification:
Print a single integer — the number of problems the friends will implement on the contest.
Demo Input:
['3\n1 1 0\n1 1 1\n1 0 0\n', '2\n1 0 0\n0 1 1\n']
Demo Output:
['2\n', '1\n']
Note:
In the first sample Petya and Vasya are sure that they know how to solve the first problem and all three of them know how to solve the second problem. That means that they will write solutions for these problems. Only Petya is sure about the solution for the third problem, but that isn't enough, so the friends won't take it.
In the second sample the friends will only implement the second problem, as Vasya and Tonya are sure about the solution.
|
```python
a=int(input())
k=0
s=0
for i in range(a):
b=list(map(int,input().split()))
for x in range (3):
if b[x]==1:
k+=1
if k >= 2:
s+=1
k=0
print(s)
```
| 3
|
|
378
|
A
|
Playing with Dice
|
PROGRAMMING
| 800
|
[
"brute force"
] | null | null |
Two players are playing a game. First each of them writes an integer from 1 to 6, and then a dice is thrown. The player whose written number got closer to the number on the dice wins. If both payers have the same difference, it's a draw.
The first player wrote number *a*, the second player wrote number *b*. How many ways to throw a dice are there, at which the first player wins, or there is a draw, or the second player wins?
|
The single line contains two integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=6) — the numbers written on the paper by the first and second player, correspondingly.
|
Print three integers: the number of ways to throw the dice at which the first player wins, the game ends with a draw or the second player wins, correspondingly.
|
[
"2 5\n",
"2 4\n"
] |
[
"3 0 3\n",
"2 1 3\n"
] |
The dice is a standard cube-shaped six-sided object with each side containing a number from 1 to 6, and where all numbers on all sides are distinct.
You can assume that number *a* is closer to number *x* than number *b*, if |*a* - *x*| < |*b* - *x*|.
| 500
|
[
{
"input": "2 5",
"output": "3 0 3"
},
{
"input": "2 4",
"output": "2 1 3"
},
{
"input": "5 3",
"output": "2 1 3"
},
{
"input": "1 6",
"output": "3 0 3"
},
{
"input": "5 1",
"output": "3 1 2"
},
{
"input": "6 3",
"output": "2 0 4"
},
{
"input": "2 3",
"output": "2 0 4"
},
{
"input": "5 6",
"output": "5 0 1"
},
{
"input": "4 4",
"output": "0 6 0"
},
{
"input": "1 1",
"output": "0 6 0"
},
{
"input": "6 4",
"output": "1 1 4"
},
{
"input": "1 4",
"output": "2 0 4"
},
{
"input": "5 5",
"output": "0 6 0"
},
{
"input": "4 5",
"output": "4 0 2"
},
{
"input": "4 3",
"output": "3 0 3"
},
{
"input": "1 5",
"output": "2 1 3"
},
{
"input": "6 5",
"output": "1 0 5"
},
{
"input": "2 2",
"output": "0 6 0"
},
{
"input": "1 3",
"output": "1 1 4"
},
{
"input": "3 6",
"output": "4 0 2"
},
{
"input": "3 1",
"output": "4 1 1"
},
{
"input": "3 2",
"output": "4 0 2"
},
{
"input": "3 5",
"output": "3 1 2"
},
{
"input": "3 3",
"output": "0 6 0"
},
{
"input": "6 2",
"output": "2 1 3"
},
{
"input": "4 1",
"output": "4 0 2"
},
{
"input": "5 2",
"output": "3 0 3"
},
{
"input": "4 2",
"output": "3 1 2"
},
{
"input": "2 1",
"output": "5 0 1"
},
{
"input": "6 1",
"output": "3 0 3"
},
{
"input": "4 6",
"output": "4 1 1"
},
{
"input": "2 6",
"output": "3 1 2"
},
{
"input": "3 4",
"output": "3 0 3"
},
{
"input": "1 2",
"output": "1 0 5"
},
{
"input": "6 6",
"output": "0 6 0"
},
{
"input": "5 4",
"output": "2 0 4"
},
{
"input": "3 3",
"output": "0 6 0"
},
{
"input": "1 1",
"output": "0 6 0"
}
] | 1,639,292,401
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 38
| 46
| 0
|
a, b = map(int, input().split())
win_first = 0
win_second = 0
draw = 0
for x in range(1, 7):
if abs(a - x) < abs(b - x):
win_first += 1
elif abs(a - x) > abs(b - x):
win_second += 1
else:
draw += 1
print(win_first, draw, win_second)
|
Title: Playing with Dice
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Two players are playing a game. First each of them writes an integer from 1 to 6, and then a dice is thrown. The player whose written number got closer to the number on the dice wins. If both payers have the same difference, it's a draw.
The first player wrote number *a*, the second player wrote number *b*. How many ways to throw a dice are there, at which the first player wins, or there is a draw, or the second player wins?
Input Specification:
The single line contains two integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=6) — the numbers written on the paper by the first and second player, correspondingly.
Output Specification:
Print three integers: the number of ways to throw the dice at which the first player wins, the game ends with a draw or the second player wins, correspondingly.
Demo Input:
['2 5\n', '2 4\n']
Demo Output:
['3 0 3\n', '2 1 3\n']
Note:
The dice is a standard cube-shaped six-sided object with each side containing a number from 1 to 6, and where all numbers on all sides are distinct.
You can assume that number *a* is closer to number *x* than number *b*, if |*a* - *x*| < |*b* - *x*|.
|
```python
a, b = map(int, input().split())
win_first = 0
win_second = 0
draw = 0
for x in range(1, 7):
if abs(a - x) < abs(b - x):
win_first += 1
elif abs(a - x) > abs(b - x):
win_second += 1
else:
draw += 1
print(win_first, draw, win_second)
```
| 3
|
|
50
|
B
|
Choosing Symbol Pairs
|
PROGRAMMING
| 1,500
|
[
"strings"
] |
B. Choosing Symbol Pairs
|
2
|
256
|
There is a given string *S* consisting of *N* symbols. Your task is to find the number of ordered pairs of integers *i* and *j* such that
1. 1<=≤<=*i*,<=*j*<=≤<=*N*
2. *S*[*i*]<==<=*S*[*j*], that is the *i*-th symbol of string *S* is equal to the *j*-th.
|
The single input line contains *S*, consisting of lowercase Latin letters and digits. It is guaranteed that string *S* in not empty and its length does not exceed 105.
|
Print a single number which represents the number of pairs *i* and *j* with the needed property. Pairs (*x*,<=*y*) and (*y*,<=*x*) should be considered different, i.e. the ordered pairs count.
|
[
"great10\n",
"aaaaaaaaaa\n"
] |
[
"7\n",
"100\n"
] |
none
| 1,000
|
[
{
"input": "great10",
"output": "7"
},
{
"input": "aaaaaaaaaa",
"output": "100"
},
{
"input": "great10",
"output": "7"
},
{
"input": "aaaaaaaaaa",
"output": "100"
},
{
"input": "aabb",
"output": "8"
},
{
"input": "w",
"output": "1"
},
{
"input": "129a",
"output": "4"
},
{
"input": "233444",
"output": "14"
},
{
"input": "abacaba",
"output": "21"
},
{
"input": "abcdefghijklmnopqrstuvwxyz0987654321abcdefghijklmnopqrstuvwxyz0987654321abcdefghijklmnopqrstuvwxyz0987654321",
"output": "324"
},
{
"input": "zazaeeeeeeeq34443333444tttttt",
"output": "155"
},
{
"input": "00000000000000000000000",
"output": "529"
},
{
"input": "999000888775646453342311",
"output": "62"
}
] | 1,677,680,286
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 30
| 124
| 0
|
given = input()
count = 0
counter = {}
for i in given:
if i in counter:
counter[i] += 1
else:
counter[i] = 1
for i in counter:
count += counter[i] * counter[i]
print(count)
|
Title: Choosing Symbol Pairs
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
There is a given string *S* consisting of *N* symbols. Your task is to find the number of ordered pairs of integers *i* and *j* such that
1. 1<=≤<=*i*,<=*j*<=≤<=*N*
2. *S*[*i*]<==<=*S*[*j*], that is the *i*-th symbol of string *S* is equal to the *j*-th.
Input Specification:
The single input line contains *S*, consisting of lowercase Latin letters and digits. It is guaranteed that string *S* in not empty and its length does not exceed 105.
Output Specification:
Print a single number which represents the number of pairs *i* and *j* with the needed property. Pairs (*x*,<=*y*) and (*y*,<=*x*) should be considered different, i.e. the ordered pairs count.
Demo Input:
['great10\n', 'aaaaaaaaaa\n']
Demo Output:
['7\n', '100\n']
Note:
none
|
```python
given = input()
count = 0
counter = {}
for i in given:
if i in counter:
counter[i] += 1
else:
counter[i] = 1
for i in counter:
count += counter[i] * counter[i]
print(count)
```
| 3.969
|
965
|
C
|
Greedy Arkady
|
PROGRAMMING
| 2,000
|
[
"math"
] | null | null |
$k$ people want to split $n$ candies between them. Each candy should be given to exactly one of them or be thrown away.
The people are numbered from $1$ to $k$, and Arkady is the first of them. To split the candies, Arkady will choose an integer $x$ and then give the first $x$ candies to himself, the next $x$ candies to the second person, the next $x$ candies to the third person and so on in a cycle. The leftover (the remainder that is not divisible by $x$) will be thrown away.
Arkady can't choose $x$ greater than $M$ as it is considered greedy. Also, he can't choose such a small $x$ that some person will receive candies more than $D$ times, as it is considered a slow splitting.
Please find what is the maximum number of candies Arkady can receive by choosing some valid $x$.
|
The only line contains four integers $n$, $k$, $M$ and $D$ ($2 \le n \le 10^{18}$, $2 \le k \le n$, $1 \le M \le n$, $1 \le D \le \min{(n, 1000)}$, $M \cdot D \cdot k \ge n$) — the number of candies, the number of people, the maximum number of candies given to a person at once, the maximum number of times a person can receive candies.
|
Print a single integer — the maximum possible number of candies Arkady can give to himself.
Note that it is always possible to choose some valid $x$.
|
[
"20 4 5 2\n",
"30 9 4 1\n"
] |
[
"8\n",
"4\n"
] |
In the first example Arkady should choose $x = 4$. He will give $4$ candies to himself, $4$ candies to the second person, $4$ candies to the third person, then $4$ candies to the fourth person and then again $4$ candies to himself. No person is given candies more than $2$ times, and Arkady receives $8$ candies in total.
Note that if Arkady chooses $x = 5$, he will receive only $5$ candies, and if he chooses $x = 3$, he will receive only $3 + 3 = 6$ candies as well as the second person, the third and the fourth persons will receive $3$ candies, and $2$ candies will be thrown away. He can't choose $x = 1$ nor $x = 2$ because in these cases he will receive candies more than $2$ times.
In the second example Arkady has to choose $x = 4$, because any smaller value leads to him receiving candies more than $1$ time.
| 1,500
|
[
{
"input": "20 4 5 2",
"output": "8"
},
{
"input": "30 9 4 1",
"output": "4"
},
{
"input": "2 2 1 1",
"output": "1"
},
{
"input": "42 20 5 29",
"output": "5"
},
{
"input": "1000000000000000000 135 1000000000000000 1000",
"output": "8325624421831635"
},
{
"input": "100 33 100 100",
"output": "100"
},
{
"input": "1000000000 1000000000 1000000000 1000",
"output": "1000000000"
},
{
"input": "1000000000 32428 1000000000 1000",
"output": "1000000000"
},
{
"input": "1000000000 324934 1000 1000",
"output": "4000"
},
{
"input": "1000000000000000000 32400093004 10000000 1000",
"output": "40000000"
},
{
"input": "885 2 160 842",
"output": "504"
},
{
"input": "216 137 202 208",
"output": "202"
},
{
"input": "72 66 28 9",
"output": "28"
},
{
"input": "294 4 13 8",
"output": "80"
},
{
"input": "9 2 2 3",
"output": "4"
},
{
"input": "31 3 2 8",
"output": "10"
},
{
"input": "104 2 5 11",
"output": "50"
},
{
"input": "1000000000000000000 1000000000000000000 1000 1000",
"output": "1000"
},
{
"input": "1000000000000000000 100000000000000000 1 1000",
"output": "10"
},
{
"input": "23925738098196565 23925738098196565 23925738098196565 1000",
"output": "23925738098196565"
},
{
"input": "576460752303423488 576460752303423488 351082447248993993 1000",
"output": "351082447248993993"
},
{
"input": "962768465676381898 72057594037927936 586039918340257175 256",
"output": "586039918340257175"
},
{
"input": "1000000000000000000 1000000000000000000 10 1000",
"output": "10"
},
{
"input": "23925738098196565 23925738098196565 1 1000",
"output": "1"
},
{
"input": "1000000000000000000 1000000000000000000 1 1000",
"output": "1"
}
] | 1,606,848,297
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 25
| 109
| 0
|
n,k,M,D=input().split()
n=int(n)
k=int(k)
M=int(M)
D=int(D)
val=0
for d in range(1,D+1):
y=(d-1)*k+1
x=n//y
if x>M:
x=M
if x*d>val:
val=x*d
print(val)
|
Title: Greedy Arkady
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
$k$ people want to split $n$ candies between them. Each candy should be given to exactly one of them or be thrown away.
The people are numbered from $1$ to $k$, and Arkady is the first of them. To split the candies, Arkady will choose an integer $x$ and then give the first $x$ candies to himself, the next $x$ candies to the second person, the next $x$ candies to the third person and so on in a cycle. The leftover (the remainder that is not divisible by $x$) will be thrown away.
Arkady can't choose $x$ greater than $M$ as it is considered greedy. Also, he can't choose such a small $x$ that some person will receive candies more than $D$ times, as it is considered a slow splitting.
Please find what is the maximum number of candies Arkady can receive by choosing some valid $x$.
Input Specification:
The only line contains four integers $n$, $k$, $M$ and $D$ ($2 \le n \le 10^{18}$, $2 \le k \le n$, $1 \le M \le n$, $1 \le D \le \min{(n, 1000)}$, $M \cdot D \cdot k \ge n$) — the number of candies, the number of people, the maximum number of candies given to a person at once, the maximum number of times a person can receive candies.
Output Specification:
Print a single integer — the maximum possible number of candies Arkady can give to himself.
Note that it is always possible to choose some valid $x$.
Demo Input:
['20 4 5 2\n', '30 9 4 1\n']
Demo Output:
['8\n', '4\n']
Note:
In the first example Arkady should choose $x = 4$. He will give $4$ candies to himself, $4$ candies to the second person, $4$ candies to the third person, then $4$ candies to the fourth person and then again $4$ candies to himself. No person is given candies more than $2$ times, and Arkady receives $8$ candies in total.
Note that if Arkady chooses $x = 5$, he will receive only $5$ candies, and if he chooses $x = 3$, he will receive only $3 + 3 = 6$ candies as well as the second person, the third and the fourth persons will receive $3$ candies, and $2$ candies will be thrown away. He can't choose $x = 1$ nor $x = 2$ because in these cases he will receive candies more than $2$ times.
In the second example Arkady has to choose $x = 4$, because any smaller value leads to him receiving candies more than $1$ time.
|
```python
n,k,M,D=input().split()
n=int(n)
k=int(k)
M=int(M)
D=int(D)
val=0
for d in range(1,D+1):
y=(d-1)*k+1
x=n//y
if x>M:
x=M
if x*d>val:
val=x*d
print(val)
```
| 3
|
|
894
|
A
|
QAQ
|
PROGRAMMING
| 800
|
[
"brute force",
"dp"
] | null | null |
"QAQ" is a word to denote an expression of crying. Imagine "Q" as eyes with tears and "A" as a mouth.
Now Diamond has given Bort a string consisting of only uppercase English letters of length *n*. There is a great number of "QAQ" in the string (Diamond is so cute!).
Bort wants to know how many subsequences "QAQ" are in the string Diamond has given. Note that the letters "QAQ" don't have to be consecutive, but the order of letters should be exact.
|
The only line contains a string of length *n* (1<=≤<=*n*<=≤<=100). It's guaranteed that the string only contains uppercase English letters.
|
Print a single integer — the number of subsequences "QAQ" in the string.
|
[
"QAQAQYSYIOIWIN\n",
"QAQQQZZYNOIWIN\n"
] |
[
"4\n",
"3\n"
] |
In the first example there are 4 subsequences "QAQ": "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN".
| 500
|
[
{
"input": "QAQAQYSYIOIWIN",
"output": "4"
},
{
"input": "QAQQQZZYNOIWIN",
"output": "3"
},
{
"input": "QA",
"output": "0"
},
{
"input": "IAQVAQZLQBQVQFTQQQADAQJA",
"output": "24"
},
{
"input": "QQAAQASGAYAAAAKAKAQIQEAQAIAAIAQQQQQ",
"output": "378"
},
{
"input": "AMVFNFJIAVNQJWIVONQOAOOQSNQSONOASONAONQINAONAOIQONANOIQOANOQINAONOQINAONOXJCOIAQOAOQAQAQAQAQWWWAQQAQ",
"output": "1077"
},
{
"input": "AAQQAXBQQBQQXBNQRJAQKQNAQNQVDQASAGGANQQQQTJFFQQQTQQA",
"output": "568"
},
{
"input": "KAZXAVLPJQBQVQQQQQAPAQQGQTQVZQAAAOYA",
"output": "70"
},
{
"input": "W",
"output": "0"
},
{
"input": "DBA",
"output": "0"
},
{
"input": "RQAWNACASAAKAGAAAAQ",
"output": "10"
},
{
"input": "QJAWZAAOAAGIAAAAAOQATASQAEAAAAQFQQHPA",
"output": "111"
},
{
"input": "QQKWQAQAAAAAAAAGAAVAQUEQQUMQMAQQQNQLAMAAAUAEAAEMAAA",
"output": "411"
},
{
"input": "QQUMQAYAUAAGWAAAQSDAVAAQAAAASKQJJQQQQMAWAYYAAAAAAEAJAXWQQ",
"output": "625"
},
{
"input": "QORZOYAQ",
"output": "1"
},
{
"input": "QCQAQAGAWAQQQAQAVQAQQQQAQAQQQAQAAATQAAVAAAQQQQAAAUUQAQQNQQWQQWAQAAQQKQYAQAAQQQAAQRAQQQWBQQQQAPBAQGQA",
"output": "13174"
},
{
"input": "QQAQQAKQFAQLQAAWAMQAZQAJQAAQQOACQQAAAYANAQAQQAQAAQQAOBQQJQAQAQAQQQAAAAABQQQAVNZAQQQQAMQQAFAAEAQAQHQT",
"output": "10420"
},
{
"input": "AQEGQHQQKQAQQPQKAQQQAAAAQQQAQEQAAQAAQAQFSLAAQQAQOQQAVQAAAPQQAWAQAQAFQAXAQQQQTRLOQAQQJQNQXQQQQSQVDQQQ",
"output": "12488"
},
{
"input": "QNQKQQQLASQBAVQQQQAAQQOQRJQQAQQQEQZUOANAADAAQQJAQAQARAAAQQQEQBHTQAAQAAAAQQMKQQQIAOJJQQAQAAADADQUQQQA",
"output": "9114"
},
{
"input": "QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ",
"output": "35937"
},
{
"input": "AMQQAAQAAQAAAAAAQQQBOAAANAAKQJCYQAE",
"output": "254"
},
{
"input": "AYQBAEQGAQEOAKGIXLQJAIAKQAAAQPUAJAKAATFWQQAOQQQUFQYAQQMQHOKAAJXGFCARAQSATHAUQQAATQJJQDQRAANQQAE",
"output": "2174"
},
{
"input": "AAQXAAQAYQAAAAGAQHVQYAGIVACADFAAQAAAAQZAAQMAKZAADQAQDAAQDAAAMQQOXYAQQQAKQBAAQQKAXQBJZDDLAAHQQ",
"output": "2962"
},
{
"input": "AYQQYAVAMNIAUAAKBBQVACWKTQSAQZAAQAAASZJAWBCAALAARHACQAKQQAQAARPAQAAQAQAAZQUSHQAMFVFZQQQQSAQQXAA",
"output": "2482"
},
{
"input": "LQMAQQARQAQBJQQQAGAAZQQXALQQAARQAQQQQAAQQAQQQAQQCAQQAQQAYQQQRAAZATQALYQQAAHHAAQHAAAAAAAAQQMAAQNAKQ",
"output": "7768"
},
{
"input": "MAQQWAQOYQMAAAQAQPQZAOAAQAUAQNAAQAAAITQSAQAKAQKAQQWSQAAQQAGUCDQMQWKQUXKWQQAAQQAAQQZQDQQQAABXQUUXQOA",
"output": "5422"
},
{
"input": "QTAAQDAQXAQQJQQQGAAAQQQQSBQZKAQQAQQQQEAQNUQBZCQLYQZQEQQAAQHQVAORKQVAQYQNASZQAARZAAGAAAAOQDCQ",
"output": "3024"
},
{
"input": "QQWAQQGQQUZQQQLZAAQYQXQVAQFQUAQZUQZZQUKBHSHTQYLQAOQXAQQGAQQTQOAQARQADAJRAAQPQAQQUQAUAMAUVQAAAQQAWQ",
"output": "4527"
},
{
"input": "QQAAQQAQVAQZQQQQAOEAQZPQIBQZACQQAFQQLAAQDATZQANHKYQQAQTAAFQRQAIQAJPWQAQTEIRXAEQQAYWAAAUKQQAQAQQQSQQH",
"output": "6416"
},
{
"input": "AQQQQAQAAQQAQAQAAAAAAAAAQAQAAAAAQAQAQQQAQQQAAAQQQAAAAAAAQAAAAQQQQQQQAQQQQAQAAAQAAAAAQAQAAAAAQAQAAAA",
"output": "14270"
},
{
"input": "AQQQQAQAAQQAQAQAAAAAAAAAQAQAAAAAQAQAQQQAQQQAAAQQQAAAAAAAQAAAAQQQQQQQAQQQQAQAAAQAAAAAQAQAAAAAQ",
"output": "13136"
},
{
"input": "AQQQQAQAAQQAQAQAAAAAAAAAQAQAAAAAQAQAQQQAQQQAAAQQQAAAAAAAQAAAAQQQQQQQAQQQQAQAAAQAAAAAQAQAAAAAQAQAA",
"output": "14270"
},
{
"input": "AQQQQAQAAQQAQAQAAAAAAAAAQAQAAAAAQAQAQQQAQQQAAAQQQAAAAAAAQAAAAQQQQQQQAQQQQAQAAAQAAAAAQAQAAAAAQQAA",
"output": "14231"
},
{
"input": "QQQQQAQAAQQAQAQAAAAAAAAAQAQAAAAAQAQAQQQAQQQAAAQQQAAAAAAAQAAAAQQQQQQQAQQQQAQAAAQAAAAAQAQAAAAAQAQAA",
"output": "15296"
},
{
"input": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ",
"output": "0"
},
{
"input": "QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA",
"output": "0"
},
{
"input": "QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ",
"output": "0"
},
{
"input": "QAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQA",
"output": "20825"
},
{
"input": "AQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQAQ",
"output": "20825"
},
{
"input": "Q",
"output": "0"
},
{
"input": "A",
"output": "0"
},
{
"input": "FFF",
"output": "0"
},
{
"input": "AAAAAA",
"output": "0"
}
] | 1,691,835,137
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 43
| 46
| 0
|
s=input()
suma=0
k=0
a=[]
for i in range(len(s)):
if s[i]=='Q':
k+=1
a.append(k)
for j in range(len(s)):
if s[j]=='A':
suma+=a[j]*(s.count('Q')-a[j])
print(suma)
|
Title: QAQ
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
"QAQ" is a word to denote an expression of crying. Imagine "Q" as eyes with tears and "A" as a mouth.
Now Diamond has given Bort a string consisting of only uppercase English letters of length *n*. There is a great number of "QAQ" in the string (Diamond is so cute!).
Bort wants to know how many subsequences "QAQ" are in the string Diamond has given. Note that the letters "QAQ" don't have to be consecutive, but the order of letters should be exact.
Input Specification:
The only line contains a string of length *n* (1<=≤<=*n*<=≤<=100). It's guaranteed that the string only contains uppercase English letters.
Output Specification:
Print a single integer — the number of subsequences "QAQ" in the string.
Demo Input:
['QAQAQYSYIOIWIN\n', 'QAQQQZZYNOIWIN\n']
Demo Output:
['4\n', '3\n']
Note:
In the first example there are 4 subsequences "QAQ": "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN".
|
```python
s=input()
suma=0
k=0
a=[]
for i in range(len(s)):
if s[i]=='Q':
k+=1
a.append(k)
for j in range(len(s)):
if s[j]=='A':
suma+=a[j]*(s.count('Q')-a[j])
print(suma)
```
| 3
|
|
501
|
B
|
Misha and Changing Handles
|
PROGRAMMING
| 1,100
|
[
"data structures",
"dsu",
"strings"
] | null | null |
Misha hacked the Codeforces site. Then he decided to let all the users change their handles. A user can now change his handle any number of times. But each new handle must not be equal to any handle that is already used or that was used at some point.
Misha has a list of handle change requests. After completing the requests he wants to understand the relation between the original and the new handles of the users. Help him to do that.
|
The first line contains integer *q* (1<=≤<=*q*<=≤<=1000), the number of handle change requests.
Next *q* lines contain the descriptions of the requests, one per line.
Each query consists of two non-empty strings *old* and *new*, separated by a space. The strings consist of lowercase and uppercase Latin letters and digits. Strings *old* and *new* are distinct. The lengths of the strings do not exceed 20.
The requests are given chronologically. In other words, by the moment of a query there is a single person with handle *old*, and handle *new* is not used and has not been used by anyone.
|
In the first line output the integer *n* — the number of users that changed their handles at least once.
In the next *n* lines print the mapping between the old and the new handles of the users. Each of them must contain two strings, *old* and *new*, separated by a space, meaning that before the user had handle *old*, and after all the requests are completed, his handle is *new*. You may output lines in any order.
Each user who changes the handle must occur exactly once in this description.
|
[
"5\nMisha ILoveCodeforces\nVasya Petrov\nPetrov VasyaPetrov123\nILoveCodeforces MikeMirzayanov\nPetya Ivanov\n"
] |
[
"3\nPetya Ivanov\nMisha MikeMirzayanov\nVasya VasyaPetrov123\n"
] |
none
| 500
|
[
{
"input": "5\nMisha ILoveCodeforces\nVasya Petrov\nPetrov VasyaPetrov123\nILoveCodeforces MikeMirzayanov\nPetya Ivanov",
"output": "3\nPetya Ivanov\nMisha MikeMirzayanov\nVasya VasyaPetrov123"
},
{
"input": "1\nMisha Vasya",
"output": "1\nMisha Vasya"
},
{
"input": "10\na b\nb c\nc d\nd e\ne f\nf g\ng h\nh i\ni j\nj k",
"output": "1\na k"
},
{
"input": "5\n123abc abc123\nabc123 a1b2c3\na1b2c3 1A2B3C\n1 2\n2 Misha",
"output": "2\n123abc 1A2B3C\n1 Misha"
},
{
"input": "8\nM F\nS D\n1 2\nF G\n2 R\nD Q\nQ W\nW e",
"output": "3\nM G\n1 R\nS e"
},
{
"input": "17\nn5WhQ VCczxtxKwFio5U\nVCczxtxKwFio5U 1WMVGA17cd1LRcp4r\n1WMVGA17cd1LRcp4r SJl\nSJl D8bPUoIft5v1\nNAvvUgunbPZNCL9ZY2 jnLkarKYsotz\nD8bPUoIft5v1 DnDkHi7\njnLkarKYsotz GfjX109HSQ81gFEBJc\nGfjX109HSQ81gFEBJc kBJ0zrH78mveJ\nkBJ0zrH78mveJ 9DrAypYW\nDnDkHi7 3Wkho2PglMDaFQw\n3Wkho2PglMDaFQw pOqW\n9DrAypYW G3y0cXXGsWAh\npOqW yr1Ec\nG3y0cXXGsWAh HrmWWg5u4Hsy\nyr1Ec GkFeivXjQ01\nGkFeivXjQ01 mSsWgbCCZcotV4goiA\nHrmWWg5u4Hsy zkCmEV",
"output": "2\nn5WhQ mSsWgbCCZcotV4goiA\nNAvvUgunbPZNCL9ZY2 zkCmEV"
},
{
"input": "10\nH1nauWCJOImtVqXk gWPMQ9DHv5CtkYp9lwm9\nSEj 2knOMLyzr\n0v69ijnAc S7d7zGTjmlku01Gv\n2knOMLyzr otGmEd\nacwr3TfMV7oCIp RUSVFa9TIWlLsd7SB\nS7d7zGTjmlku01Gv Gd6ZufVmQnBpi\nS1 WOJLpk\nWOJLpk Gu\nRUSVFa9TIWlLsd7SB RFawatGnbVB\notGmEd OTB1zKiOI",
"output": "5\n0v69ijnAc Gd6ZufVmQnBpi\nS1 Gu\nSEj OTB1zKiOI\nacwr3TfMV7oCIp RFawatGnbVB\nH1nauWCJOImtVqXk gWPMQ9DHv5CtkYp9lwm9"
},
{
"input": "14\nTPdoztSZROpjZe z6F8bYFvnER4V5SP0n\n8Aa3PQY3hzHZTPEUz fhrZZPJ3iUS\nm9p888KaZAoQaO KNmdRSAlUVn8zXOM0\nAO s1VGWTCbHzM\ni 4F\nfhrZZPJ3iUS j0OVZQF6MvNcKN9xDZFJ\nDnlkXtaKNlYEI2ApBuwu DMA9i8ScKRxwhe72a3\nj0OVZQF6MvNcKN9xDZFJ DzjmeNqN0H4Teq0Awr\n4F wJcdxt1kwqfDeJ\nqxXlsa5t RHCL1K6aUyns\nr6WYbDaXt hEHw\nJ0Usg DKdKMFJ6tK8XA\nz6F8bYFvnER4V5SP0n 0alJ\nMijh2O6 qic8kXWuR6",
"output": "10\nTPdoztSZROpjZe 0alJ\nJ0Usg DKdKMFJ6tK8XA\nDnlkXtaKNlYEI2ApBuwu DMA9i8ScKRxwhe72a3\n8Aa3PQY3hzHZTPEUz DzjmeNqN0H4Teq0Awr\nm9p888KaZAoQaO KNmdRSAlUVn8zXOM0\nqxXlsa5t RHCL1K6aUyns\nr6WYbDaXt hEHw\nMijh2O6 qic8kXWuR6\nAO s1VGWTCbHzM\ni wJcdxt1kwqfDeJ"
},
{
"input": "14\nHAXRxayyf1Dj1F0mT hjR4A8IQMb0nyBtqG\nWNuMJa5Jg05qkqZOrL noNkWXrSidHGwxgbQ\nmOitVy6W52s0FENMz6 oLUkLNfojssvLvb1t\nhjR4A8IQMb0nyBtqG oA7uBFu4Oo\noA7uBFu4Oo M450\nM450 LXEzO4\noLUkLNfojssvLvb1t YG5\nnoNkWXrSidHGwxgbQ L\nL YBWzu4W\nYBWzu4W ML\nML scVZE9m8JnH\nLXEzO4 Ne0oBPY0Iy\nscVZE9m8JnH GXhznv\nYG5 UY08abilYF1LaXj49hQ",
"output": "3\nWNuMJa5Jg05qkqZOrL GXhznv\nHAXRxayyf1Dj1F0mT Ne0oBPY0Iy\nmOitVy6W52s0FENMz6 UY08abilYF1LaXj49hQ"
}
] | 1,666,647,428
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 49
| 46
| 0
|
numR = int(input())
dic ={}
for i in range(numR):
old, new = input().split()
if old not in dic:
dic[new] = old
else:
aux = dic.pop(old)
dic[new] = aux
print(len(dic))
for key in dic:
print(dic[key], key)
|
Title: Misha and Changing Handles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Misha hacked the Codeforces site. Then he decided to let all the users change their handles. A user can now change his handle any number of times. But each new handle must not be equal to any handle that is already used or that was used at some point.
Misha has a list of handle change requests. After completing the requests he wants to understand the relation between the original and the new handles of the users. Help him to do that.
Input Specification:
The first line contains integer *q* (1<=≤<=*q*<=≤<=1000), the number of handle change requests.
Next *q* lines contain the descriptions of the requests, one per line.
Each query consists of two non-empty strings *old* and *new*, separated by a space. The strings consist of lowercase and uppercase Latin letters and digits. Strings *old* and *new* are distinct. The lengths of the strings do not exceed 20.
The requests are given chronologically. In other words, by the moment of a query there is a single person with handle *old*, and handle *new* is not used and has not been used by anyone.
Output Specification:
In the first line output the integer *n* — the number of users that changed their handles at least once.
In the next *n* lines print the mapping between the old and the new handles of the users. Each of them must contain two strings, *old* and *new*, separated by a space, meaning that before the user had handle *old*, and after all the requests are completed, his handle is *new*. You may output lines in any order.
Each user who changes the handle must occur exactly once in this description.
Demo Input:
['5\nMisha ILoveCodeforces\nVasya Petrov\nPetrov VasyaPetrov123\nILoveCodeforces MikeMirzayanov\nPetya Ivanov\n']
Demo Output:
['3\nPetya Ivanov\nMisha MikeMirzayanov\nVasya VasyaPetrov123\n']
Note:
none
|
```python
numR = int(input())
dic ={}
for i in range(numR):
old, new = input().split()
if old not in dic:
dic[new] = old
else:
aux = dic.pop(old)
dic[new] = aux
print(len(dic))
for key in dic:
print(dic[key], key)
```
| 3
|
|
26
|
A
|
Almost Prime
|
PROGRAMMING
| 900
|
[
"number theory"
] |
A. Almost Prime
|
2
|
256
|
A number is called almost prime if it has exactly two distinct prime divisors. For example, numbers 6, 18, 24 are almost prime, while 4, 8, 9, 42 are not. Find the amount of almost prime numbers which are between 1 and *n*, inclusive.
|
Input contains one integer number *n* (1<=≤<=*n*<=≤<=3000).
|
Output the amount of almost prime numbers between 1 and *n*, inclusive.
|
[
"10\n",
"21\n"
] |
[
"2\n",
"8\n"
] |
none
| 500
|
[
{
"input": "10",
"output": "2"
},
{
"input": "21",
"output": "8"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "8",
"output": "1"
},
{
"input": "19",
"output": "6"
},
{
"input": "40",
"output": "19"
},
{
"input": "77",
"output": "41"
},
{
"input": "222",
"output": "125"
},
{
"input": "987",
"output": "501"
},
{
"input": "1000",
"output": "508"
},
{
"input": "2000",
"output": "958"
},
{
"input": "3000",
"output": "1375"
},
{
"input": "2999",
"output": "1375"
},
{
"input": "2998",
"output": "1375"
},
{
"input": "2997",
"output": "1374"
},
{
"input": "1429",
"output": "706"
},
{
"input": "1673",
"output": "808"
},
{
"input": "1500",
"output": "732"
},
{
"input": "500",
"output": "266"
},
{
"input": "856",
"output": "439"
}
] | 1,680,275,072
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 23
| 122
| 0
|
n = int(input())
count = 0
for i in range(1, n + 1):
factorization = []
d = 2
while d * d <= i:
while i % d == 0:
factorization.append(d)
i //= d
d += 1
if i > 1:
factorization.append(i)
if len(set(factorization)) == 2:
count += 1
print(count)
|
Title: Almost Prime
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A number is called almost prime if it has exactly two distinct prime divisors. For example, numbers 6, 18, 24 are almost prime, while 4, 8, 9, 42 are not. Find the amount of almost prime numbers which are between 1 and *n*, inclusive.
Input Specification:
Input contains one integer number *n* (1<=≤<=*n*<=≤<=3000).
Output Specification:
Output the amount of almost prime numbers between 1 and *n*, inclusive.
Demo Input:
['10\n', '21\n']
Demo Output:
['2\n', '8\n']
Note:
none
|
```python
n = int(input())
count = 0
for i in range(1, n + 1):
factorization = []
d = 2
while d * d <= i:
while i % d == 0:
factorization.append(d)
i //= d
d += 1
if i > 1:
factorization.append(i)
if len(set(factorization)) == 2:
count += 1
print(count)
```
| 3.9695
|
0
|
none
|
none
|
none
| 0
|
[
"none"
] | null | null |
Kevin has just recevied his disappointing results on the USA Identification of Cows Olympiad (USAICO) in the form of a binary string of length *n*. Each character of Kevin's string represents Kevin's score on one of the *n* questions of the olympiad—'1' for a correctly identified cow and '0' otherwise.
However, all is not lost. Kevin is a big proponent of alternative thinking and believes that his score, instead of being the sum of his points, should be the length of the longest alternating subsequence of his string. Here, we define an alternating subsequence of a string as a not-necessarily contiguous subsequence where no two consecutive elements are equal. For example, {0,<=1,<=0,<=1}, {1,<=0,<=1}, and {1,<=0,<=1,<=0} are alternating sequences, while {1,<=0,<=0} and {0,<=1,<=0,<=1,<=1} are not.
Kevin, being the sneaky little puffball that he is, is willing to hack into the USAICO databases to improve his score. In order to be subtle, he decides that he will flip exactly one substring—that is, take a contiguous non-empty substring of his score and change all '0's in that substring to '1's and vice versa. After such an operation, Kevin wants to know the length of the longest possible alternating subsequence that his string could have.
|
The first line contains the number of questions on the olympiad *n* (1<=≤<=*n*<=≤<=100<=000).
The following line contains a binary string of length *n* representing Kevin's results on the USAICO.
|
Output a single integer, the length of the longest possible alternating subsequence that Kevin can create in his string after flipping a single substring.
|
[
"8\n10000011\n",
"2\n01\n"
] |
[
"5\n",
"2\n"
] |
In the first sample, Kevin can flip the bolded substring '10000011' and turn his string into '10011011', which has an alternating subsequence of length 5: '10011011'.
In the second sample, Kevin can flip the entire string and still have the same score.
| 0
|
[
{
"input": "8\n10000011",
"output": "5"
},
{
"input": "2\n01",
"output": "2"
},
{
"input": "5\n10101",
"output": "5"
},
{
"input": "75\n010101010101010101010101010101010101010101010101010101010101010101010101010",
"output": "75"
},
{
"input": "11\n00000000000",
"output": "3"
},
{
"input": "56\n10101011010101010101010101010101010101011010101010101010",
"output": "56"
},
{
"input": "50\n01011010110101010101010101010101010101010101010100",
"output": "49"
},
{
"input": "7\n0110100",
"output": "7"
},
{
"input": "8\n11011111",
"output": "5"
},
{
"input": "6\n000000",
"output": "3"
},
{
"input": "5\n01000",
"output": "5"
},
{
"input": "59\n10101010101010101010101010101010101010101010101010101010101",
"output": "59"
},
{
"input": "88\n1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010",
"output": "88"
},
{
"input": "93\n010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010",
"output": "93"
},
{
"input": "70\n0101010101010101010101010101010101010101010101010101010101010101010101",
"output": "70"
},
{
"input": "78\n010101010101010101010101010101101010101010101010101010101010101010101010101010",
"output": "78"
},
{
"input": "83\n10101010101010101010101010101010101010101010101010110101010101010101010101010101010",
"output": "83"
},
{
"input": "87\n101010101010101010101010101010101010101010101010101010101010101010101010101010010101010",
"output": "87"
},
{
"input": "65\n01010101101010101010101010101010101010101010101010101010101010101",
"output": "65"
},
{
"input": "69\n010101010101010101101010101010101010101010101010101010101010101010101",
"output": "69"
},
{
"input": "74\n01010101010101010101010101010101010101010101010101010101010101000101010101",
"output": "74"
},
{
"input": "77\n01010101010101001010101010101010100101010101010101010101010101010101010101010",
"output": "77"
},
{
"input": "60\n101010110101010101010101010110101010101010101010101010101010",
"output": "60"
},
{
"input": "89\n01010101010101010101010101010101010101010101010101010101101010101010101010100101010101010",
"output": "89"
},
{
"input": "68\n01010101010101010101010101010101010100101010100101010101010100101010",
"output": "67"
},
{
"input": "73\n0101010101010101010101010101010101010101010111011010101010101010101010101",
"output": "72"
},
{
"input": "55\n1010101010101010010101010101101010101010101010100101010",
"output": "54"
},
{
"input": "85\n1010101010101010101010101010010101010101010101101010101010101010101011010101010101010",
"output": "84"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "10\n1111111111",
"output": "3"
},
{
"input": "2\n10",
"output": "2"
},
{
"input": "2\n11",
"output": "2"
},
{
"input": "2\n00",
"output": "2"
},
{
"input": "3\n000",
"output": "3"
},
{
"input": "3\n001",
"output": "3"
},
{
"input": "3\n010",
"output": "3"
},
{
"input": "3\n011",
"output": "3"
},
{
"input": "3\n100",
"output": "3"
},
{
"input": "3\n101",
"output": "3"
},
{
"input": "3\n110",
"output": "3"
},
{
"input": "3\n111",
"output": "3"
},
{
"input": "4\n0000",
"output": "3"
},
{
"input": "4\n0001",
"output": "4"
},
{
"input": "4\n0010",
"output": "4"
},
{
"input": "4\n0011",
"output": "4"
},
{
"input": "4\n0100",
"output": "4"
},
{
"input": "4\n0101",
"output": "4"
},
{
"input": "4\n0110",
"output": "4"
},
{
"input": "4\n0111",
"output": "4"
},
{
"input": "4\n1000",
"output": "4"
},
{
"input": "4\n1001",
"output": "4"
},
{
"input": "4\n1010",
"output": "4"
},
{
"input": "4\n1011",
"output": "4"
},
{
"input": "4\n1100",
"output": "4"
},
{
"input": "4\n1101",
"output": "4"
},
{
"input": "4\n1110",
"output": "4"
},
{
"input": "4\n1111",
"output": "3"
},
{
"input": "5\n00000",
"output": "3"
},
{
"input": "5\n00001",
"output": "4"
},
{
"input": "5\n00010",
"output": "5"
},
{
"input": "5\n00011",
"output": "4"
},
{
"input": "5\n00100",
"output": "5"
},
{
"input": "5\n00101",
"output": "5"
},
{
"input": "5\n00110",
"output": "5"
},
{
"input": "5\n00111",
"output": "4"
},
{
"input": "5\n01000",
"output": "5"
},
{
"input": "5\n01001",
"output": "5"
},
{
"input": "5\n01010",
"output": "5"
},
{
"input": "5\n01011",
"output": "5"
},
{
"input": "5\n01100",
"output": "5"
},
{
"input": "5\n01101",
"output": "5"
},
{
"input": "5\n01110",
"output": "5"
},
{
"input": "5\n01111",
"output": "4"
},
{
"input": "5\n10000",
"output": "4"
},
{
"input": "5\n10001",
"output": "5"
},
{
"input": "5\n10010",
"output": "5"
},
{
"input": "5\n10100",
"output": "5"
},
{
"input": "5\n10101",
"output": "5"
},
{
"input": "5\n10110",
"output": "5"
},
{
"input": "5\n10111",
"output": "5"
},
{
"input": "5\n11000",
"output": "4"
},
{
"input": "5\n11001",
"output": "5"
},
{
"input": "5\n11010",
"output": "5"
},
{
"input": "5\n11011",
"output": "5"
},
{
"input": "5\n11100",
"output": "4"
},
{
"input": "5\n11101",
"output": "5"
},
{
"input": "5\n11110",
"output": "4"
},
{
"input": "5\n11111",
"output": "3"
}
] | 1,459,869,545
| 6,245
|
Python 3
|
OK
|
TESTS
| 116
| 62
| 4,915,200
|
n = int(input())
s = input()
print(min(n,s.count("01")+s.count("10")+3))
|
Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kevin has just recevied his disappointing results on the USA Identification of Cows Olympiad (USAICO) in the form of a binary string of length *n*. Each character of Kevin's string represents Kevin's score on one of the *n* questions of the olympiad—'1' for a correctly identified cow and '0' otherwise.
However, all is not lost. Kevin is a big proponent of alternative thinking and believes that his score, instead of being the sum of his points, should be the length of the longest alternating subsequence of his string. Here, we define an alternating subsequence of a string as a not-necessarily contiguous subsequence where no two consecutive elements are equal. For example, {0,<=1,<=0,<=1}, {1,<=0,<=1}, and {1,<=0,<=1,<=0} are alternating sequences, while {1,<=0,<=0} and {0,<=1,<=0,<=1,<=1} are not.
Kevin, being the sneaky little puffball that he is, is willing to hack into the USAICO databases to improve his score. In order to be subtle, he decides that he will flip exactly one substring—that is, take a contiguous non-empty substring of his score and change all '0's in that substring to '1's and vice versa. After such an operation, Kevin wants to know the length of the longest possible alternating subsequence that his string could have.
Input Specification:
The first line contains the number of questions on the olympiad *n* (1<=≤<=*n*<=≤<=100<=000).
The following line contains a binary string of length *n* representing Kevin's results on the USAICO.
Output Specification:
Output a single integer, the length of the longest possible alternating subsequence that Kevin can create in his string after flipping a single substring.
Demo Input:
['8\n10000011\n', '2\n01\n']
Demo Output:
['5\n', '2\n']
Note:
In the first sample, Kevin can flip the bolded substring '10000011' and turn his string into '10011011', which has an alternating subsequence of length 5: '10011011'.
In the second sample, Kevin can flip the entire string and still have the same score.
|
```python
n = int(input())
s = input()
print(min(n,s.count("01")+s.count("10")+3))
```
| 3
|
|
714
|
B
|
Filya and Homework
|
PROGRAMMING
| 1,200
|
[
"implementation",
"sortings"
] | null | null |
Today, hedgehog Filya went to school for the very first time! Teacher gave him a homework which Filya was unable to complete without your help.
Filya is given an array of non-negative integers *a*1,<=*a*2,<=...,<=*a**n*. First, he pick an integer *x* and then he adds *x* to some elements of the array (no more than once), subtract *x* from some other elements (also, no more than once) and do no change other elements. He wants all elements of the array to be equal.
Now he wonders if it's possible to pick such integer *x* and change some elements of the array using this *x* in order to make all elements equal.
|
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of integers in the Filya's array. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109) — elements of the array.
|
If it's impossible to make all elements of the array equal using the process given in the problem statement, then print "NO" (without quotes) in the only line of the output. Otherwise print "YES" (without quotes).
|
[
"5\n1 3 3 2 1\n",
"5\n1 2 3 4 5\n"
] |
[
"YES\n",
"NO\n"
] |
In the first sample Filya should select *x* = 1, then add it to the first and the last elements of the array and subtract from the second and the third elements.
| 1,000
|
[
{
"input": "5\n1 3 3 2 1",
"output": "YES"
},
{
"input": "5\n1 2 3 4 5",
"output": "NO"
},
{
"input": "2\n1 2",
"output": "YES"
},
{
"input": "3\n1 2 3",
"output": "YES"
},
{
"input": "3\n1 1 1",
"output": "YES"
},
{
"input": "2\n1 1000000000",
"output": "YES"
},
{
"input": "4\n1 2 3 4",
"output": "NO"
},
{
"input": "10\n1 1 1 1 1 2 2 2 2 2",
"output": "YES"
},
{
"input": "2\n4 2",
"output": "YES"
},
{
"input": "4\n1 1 4 7",
"output": "YES"
},
{
"input": "3\n99999999 1 50000000",
"output": "YES"
},
{
"input": "1\n0",
"output": "YES"
},
{
"input": "5\n0 0 0 0 0",
"output": "YES"
},
{
"input": "4\n4 2 2 1",
"output": "NO"
},
{
"input": "3\n1 4 2",
"output": "NO"
},
{
"input": "3\n1 4 100",
"output": "NO"
},
{
"input": "3\n2 5 11",
"output": "NO"
},
{
"input": "3\n1 4 6",
"output": "NO"
},
{
"input": "3\n1 2 4",
"output": "NO"
},
{
"input": "3\n1 2 7",
"output": "NO"
},
{
"input": "5\n1 1 1 4 5",
"output": "NO"
},
{
"input": "2\n100000001 100000003",
"output": "YES"
},
{
"input": "3\n7 4 5",
"output": "NO"
},
{
"input": "3\n2 3 5",
"output": "NO"
},
{
"input": "3\n1 2 5",
"output": "NO"
},
{
"input": "2\n2 3",
"output": "YES"
},
{
"input": "3\n2 100 29",
"output": "NO"
},
{
"input": "3\n0 1 5",
"output": "NO"
},
{
"input": "3\n1 3 6",
"output": "NO"
},
{
"input": "3\n2 1 3",
"output": "YES"
},
{
"input": "3\n1 5 100",
"output": "NO"
},
{
"input": "3\n1 4 8",
"output": "NO"
},
{
"input": "3\n1 7 10",
"output": "NO"
},
{
"input": "3\n5 4 1",
"output": "NO"
},
{
"input": "3\n1 6 10",
"output": "NO"
},
{
"input": "4\n1 3 4 5",
"output": "NO"
},
{
"input": "3\n1 5 4",
"output": "NO"
},
{
"input": "5\n1 2 3 3 5",
"output": "NO"
},
{
"input": "3\n2 3 1",
"output": "YES"
},
{
"input": "3\n2 3 8",
"output": "NO"
},
{
"input": "3\n0 3 5",
"output": "NO"
},
{
"input": "3\n1 5 10",
"output": "NO"
},
{
"input": "3\n1 7 2",
"output": "NO"
},
{
"input": "3\n1 3 9",
"output": "NO"
},
{
"input": "3\n1 1 2",
"output": "YES"
},
{
"input": "7\n1 1 1 1 1 2 4",
"output": "NO"
},
{
"input": "5\n1 4 4 4 6",
"output": "NO"
},
{
"input": "5\n1 2 2 4 4",
"output": "NO"
},
{
"input": "3\n1 9 10",
"output": "NO"
},
{
"input": "8\n1 1 1 1 1 1 2 3",
"output": "YES"
},
{
"input": "3\n1 2 100",
"output": "NO"
},
{
"input": "3\n1 3 4",
"output": "NO"
},
{
"input": "3\n1 15 14",
"output": "NO"
},
{
"input": "3\n1 3 8",
"output": "NO"
},
{
"input": "3\n1 2 10",
"output": "NO"
},
{
"input": "4\n2 2 4 5",
"output": "NO"
},
{
"input": "3\n1 3 5",
"output": "YES"
},
{
"input": "5\n3 6 7 8 9",
"output": "NO"
},
{
"input": "3\n7 6 8",
"output": "YES"
},
{
"input": "3\n3 2 1",
"output": "YES"
},
{
"input": "5\n1 2 2 2 3",
"output": "YES"
},
{
"input": "3\n4 6 7",
"output": "NO"
},
{
"input": "3\n2 0 4",
"output": "YES"
},
{
"input": "4\n10 20 21 30",
"output": "NO"
},
{
"input": "4\n0 2 3 4",
"output": "NO"
},
{
"input": "3\n3 6 12",
"output": "NO"
},
{
"input": "5\n0 0 1 3 5",
"output": "NO"
},
{
"input": "3\n3 5 8",
"output": "NO"
},
{
"input": "3\n1 4 4",
"output": "YES"
},
{
"input": "4\n2 4 5 6",
"output": "NO"
}
] | 1,637,746,102
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 79
| 170
| 16,486,400
|
import math
import string
def main_function():
n = int(input())
a = sorted([int(i) for i in input().split(" ")])
difference = a[-1] - a[0]
half_difference = 0
if difference % 2 == 0:
half_difference = difference // 2
another_value = 0
current_valid = []
for i in range(n):
if i == 0:
current_valid.append(a[i] + another_value)
current_valid.append(a[i] + difference)
current_valid.append(a[i] + half_difference)
else:
another = []
if a[i] + another_value in current_valid:
another.append(a[i] + another_value)
if a[i] + difference in current_valid:
another.append(a[i] + difference)
if a[i] + half_difference in current_valid:
another.append(a[i] + half_difference)
if a[i] - another_value in current_valid:
another.append(a[i] - another_value)
if a[i] - difference in current_valid:
another.append(a[i] - difference)
if a[i] - half_difference in current_valid:
another.append(a[i] - half_difference)
current_valid = another
if len(current_valid) == 0:
print("NO")
else:
print("YES")
main_function()
|
Title: Filya and Homework
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Today, hedgehog Filya went to school for the very first time! Teacher gave him a homework which Filya was unable to complete without your help.
Filya is given an array of non-negative integers *a*1,<=*a*2,<=...,<=*a**n*. First, he pick an integer *x* and then he adds *x* to some elements of the array (no more than once), subtract *x* from some other elements (also, no more than once) and do no change other elements. He wants all elements of the array to be equal.
Now he wonders if it's possible to pick such integer *x* and change some elements of the array using this *x* in order to make all elements equal.
Input Specification:
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of integers in the Filya's array. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109) — elements of the array.
Output Specification:
If it's impossible to make all elements of the array equal using the process given in the problem statement, then print "NO" (without quotes) in the only line of the output. Otherwise print "YES" (without quotes).
Demo Input:
['5\n1 3 3 2 1\n', '5\n1 2 3 4 5\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample Filya should select *x* = 1, then add it to the first and the last elements of the array and subtract from the second and the third elements.
|
```python
import math
import string
def main_function():
n = int(input())
a = sorted([int(i) for i in input().split(" ")])
difference = a[-1] - a[0]
half_difference = 0
if difference % 2 == 0:
half_difference = difference // 2
another_value = 0
current_valid = []
for i in range(n):
if i == 0:
current_valid.append(a[i] + another_value)
current_valid.append(a[i] + difference)
current_valid.append(a[i] + half_difference)
else:
another = []
if a[i] + another_value in current_valid:
another.append(a[i] + another_value)
if a[i] + difference in current_valid:
another.append(a[i] + difference)
if a[i] + half_difference in current_valid:
another.append(a[i] + half_difference)
if a[i] - another_value in current_valid:
another.append(a[i] - another_value)
if a[i] - difference in current_valid:
another.append(a[i] - difference)
if a[i] - half_difference in current_valid:
another.append(a[i] - half_difference)
current_valid = another
if len(current_valid) == 0:
print("NO")
else:
print("YES")
main_function()
```
| 3
|
|
765
|
B
|
Code obfuscation
|
PROGRAMMING
| 1,100
|
[
"greedy",
"implementation",
"strings"
] | null | null |
Kostya likes Codeforces contests very much. However, he is very disappointed that his solutions are frequently hacked. That's why he decided to obfuscate (intentionally make less readable) his code before upcoming contest.
To obfuscate the code, Kostya first looks at the first variable name used in his program and replaces all its occurrences with a single symbol *a*, then he looks at the second variable name that has not been replaced yet, and replaces all its occurrences with *b*, and so on. Kostya is well-mannered, so he doesn't use any one-letter names before obfuscation. Moreover, there are at most 26 unique identifiers in his programs.
You are given a list of identifiers of some program with removed spaces and line breaks. Check if this program can be a result of Kostya's obfuscation.
|
In the only line of input there is a string *S* of lowercase English letters (1<=≤<=|*S*|<=≤<=500) — the identifiers of a program with removed whitespace characters.
|
If this program can be a result of Kostya's obfuscation, print "YES" (without quotes), otherwise print "NO".
|
[
"abacaba\n",
"jinotega\n"
] |
[
"YES\n",
"NO\n"
] |
In the first sample case, one possible list of identifiers would be "number string number character number string number". Here how Kostya would obfuscate the program:
- replace all occurences of number with a, the result would be "a string a character a string a",- replace all occurences of string with b, the result would be "a b a character a b a",- replace all occurences of character with c, the result would be "a b a c a b a",- all identifiers have been replaced, thus the obfuscation is finished.
| 1,000
|
[
{
"input": "abacaba",
"output": "YES"
},
{
"input": "jinotega",
"output": "NO"
},
{
"input": "aaaaaaaaaaa",
"output": "YES"
},
{
"input": "aba",
"output": "YES"
},
{
"input": "bab",
"output": "NO"
},
{
"input": "a",
"output": "YES"
},
{
"input": "abcdefghijklmnopqrstuvwxyz",
"output": "YES"
},
{
"input": "fihyxmbnzq",
"output": "NO"
},
{
"input": "aamlaswqzotaanasdhcvjoaiwdhctezzawagkdgfffeqkyrvbcrfqgkdsvximsnvmkmjyofswmtjdoxgwamsaatngenqvsvrvwlbzuoeaolfcnmdacrmdleafbsmerwmxzyylfhemnkoayuhtpbikm",
"output": "NO"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "YES"
},
{
"input": "darbbbcwynbbbbaacbkvbakavabbbabzajlbajryaabbbccxraakgniagbtsswcfbkubdmcasccepybkaefcfsbzdddxgcjadybcfjtmqbspflqrdghgfwnccfveogdmifkociqscahdejctacwzbkhihajfilrgcjiofwfklifobozikcmvcfeqlidrgsgdfxffaaebzjxngsjxiclyolhjokqpdbfffooticxsezpgqkhhzmbmqgskkqvefzyijrwhpftcmbedmaflapmeljaudllojfpgfkpvgylaglrhrslxlprbhgknrctilngqccbddvpamhifsbmyowohczizjcbleehfrecjbqtxertnpfmalejmbxkhkkbyopuwlhkxuqellsybgcndvniyyxfoufalstdsdfjoxlnmigkqwmgojsppaannfstxytelluvvkdcezlqfsperwyjsdsmkvgjdbksswamhmoukcawiigkggztr",
"output": "NO"
},
{
"input": "bbbbbb",
"output": "NO"
},
{
"input": "aabbbd",
"output": "NO"
},
{
"input": "abdefghijklmnopqrstuvwxyz",
"output": "NO"
},
{
"input": "abcdeghijklmnopqrstuvwxyz",
"output": "NO"
},
{
"input": "abcdefghijklmnopqrsuvwxyz",
"output": "NO"
},
{
"input": "abcdefghijklmnopqrstuvwxy",
"output": "YES"
},
{
"input": "abcdefghijklmnopqrsutvwxyz",
"output": "NO"
},
{
"input": "acdef",
"output": "NO"
},
{
"input": "z",
"output": "NO"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaababaaababaabababccbabdbcbadccacdbdedabbeecbcabbdcaecdabbedddafeffaccgeacefbcahabfiiegecdbebabhhbdgfeghhbfahgagefbgghdbhadeicbdfgdchhefhigfcgdhcihecacfhadfgfejccibcjkfhbigbealjjkfldiecfdcafbamgfkbjlbifldghmiifkkglaflmjfmkfdjlbliijkgfdelklfnadbifgbmklfbqkhirhcadoadhmjrghlmelmjfpakqkdfcgqdkaeqpbcdoeqglqrarkipncckpfmajrqsfffldegbmahsfcqdfdqtrgrouqajgsojmmukptgerpanpcbejmergqtavwsvtveufdseuemwrhfmjqinxjodddnpcgqullrhmogflsxgsbapoghortiwcovejtinncozk",
"output": "NO"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "YES"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbabbbabbaaabbaaaaabaabbaa",
"output": "YES"
},
{
"input": "aababbabbaabbbbbaabababaabbbaaaaabbabbabbaabbbbabaabbaaababbaaacbbabbbbbbcbcababbccaaacbaccaccaababbccaacccaabaaccaaabacacbaabacbaacbaaabcbbbcbbaacaabcbcbccbacabbcbabcaccaaaaaabcbacabcbabbbbbabccbbcacbaaabbccbbaaaaaaaaaaaadbbbabdacabdaddddbaabbddbdabbdacbacbacaaaabbacadbcddddadaddabbdccaddbaaacbceebbceadbeaadecddbbbcaaecbdeaebaddbbdebbcbaabcacbdcdc",
"output": "YES"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbaabaabaababbbabbacacbbbacbbaaaabbccacbaabaaccbbbbbcbbbacabbccaaabbaaacabcbacbcabbbbecbecadcbacbaadeeadabeacdebccdbbcaecdbeeebbebcaaaeacdcbdeccdbbdcdebdcbdacebcecbacddeeaebcedffedfggbeedceacaecagdfedfabcfchffceachgcbicbcffeeebgcgiefcafhibhceiedgbfebbccegbehhibhhfedbaeedbghggffehggaeaidifhdhaggdjcfjhiaieaichjacedchejg",
"output": "NO"
},
{
"input": "b",
"output": "NO"
},
{
"input": "ac",
"output": "NO"
},
{
"input": "cde",
"output": "NO"
},
{
"input": "abd",
"output": "NO"
},
{
"input": "zx",
"output": "NO"
},
{
"input": "bcd",
"output": "NO"
},
{
"input": "aaac",
"output": "NO"
},
{
"input": "aacb",
"output": "NO"
},
{
"input": "acd",
"output": "NO"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaz",
"output": "NO"
},
{
"input": "abcdefghijklmnopqrstuvwxyzz",
"output": "YES"
},
{
"input": "bc",
"output": "NO"
},
{
"input": "aaaaaaaaad",
"output": "NO"
},
{
"input": "abb",
"output": "YES"
},
{
"input": "abcb",
"output": "YES"
},
{
"input": "aac",
"output": "NO"
},
{
"input": "abcbcb",
"output": "YES"
},
{
"input": "bb",
"output": "NO"
},
{
"input": "abbb",
"output": "YES"
},
{
"input": "bbb",
"output": "NO"
},
{
"input": "x",
"output": "NO"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaazz",
"output": "NO"
},
{
"input": "acbccccccccccc",
"output": "NO"
},
{
"input": "za",
"output": "NO"
},
{
"input": "ade",
"output": "NO"
},
{
"input": "bbbbbbbbbb",
"output": "NO"
},
{
"input": "bac",
"output": "NO"
},
{
"input": "bcddcb",
"output": "NO"
},
{
"input": "aaacb",
"output": "NO"
},
{
"input": "aaaaac",
"output": "NO"
},
{
"input": "aaaaaaaaaaad",
"output": "NO"
},
{
"input": "c",
"output": "NO"
},
{
"input": "abcccccccc",
"output": "YES"
},
{
"input": "aaaaaaac",
"output": "NO"
}
] | 1,607,988,115
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 59
| 124
| 0
|
s = [ord(x) for x in input()]
m = ord('a') - 1
for i in s:
if i - m > 1:
print("NO")
exit()
m = max(i, m)
print("YES")
|
Title: Code obfuscation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kostya likes Codeforces contests very much. However, he is very disappointed that his solutions are frequently hacked. That's why he decided to obfuscate (intentionally make less readable) his code before upcoming contest.
To obfuscate the code, Kostya first looks at the first variable name used in his program and replaces all its occurrences with a single symbol *a*, then he looks at the second variable name that has not been replaced yet, and replaces all its occurrences with *b*, and so on. Kostya is well-mannered, so he doesn't use any one-letter names before obfuscation. Moreover, there are at most 26 unique identifiers in his programs.
You are given a list of identifiers of some program with removed spaces and line breaks. Check if this program can be a result of Kostya's obfuscation.
Input Specification:
In the only line of input there is a string *S* of lowercase English letters (1<=≤<=|*S*|<=≤<=500) — the identifiers of a program with removed whitespace characters.
Output Specification:
If this program can be a result of Kostya's obfuscation, print "YES" (without quotes), otherwise print "NO".
Demo Input:
['abacaba\n', 'jinotega\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample case, one possible list of identifiers would be "number string number character number string number". Here how Kostya would obfuscate the program:
- replace all occurences of number with a, the result would be "a string a character a string a",- replace all occurences of string with b, the result would be "a b a character a b a",- replace all occurences of character with c, the result would be "a b a c a b a",- all identifiers have been replaced, thus the obfuscation is finished.
|
```python
s = [ord(x) for x in input()]
m = ord('a') - 1
for i in s:
if i - m > 1:
print("NO")
exit()
m = max(i, m)
print("YES")
```
| 3
|
|
753
|
A
|
Santa Claus and Candies
|
PROGRAMMING
| 1,000
|
[
"dp",
"greedy",
"math"
] | null | null |
Santa Claus has *n* candies, he dreams to give them as gifts to children.
What is the maximal number of children for whose he can give candies if Santa Claus want each kid should get distinct positive integer number of candies. Santa Class wants to give all *n* candies he has.
|
The only line contains positive integer number *n* (1<=≤<=*n*<=≤<=1000) — number of candies Santa Claus has.
|
Print to the first line integer number *k* — maximal number of kids which can get candies.
Print to the second line *k* distinct integer numbers: number of candies for each of *k* kid. The sum of *k* printed numbers should be exactly *n*.
If there are many solutions, print any of them.
|
[
"5\n",
"9\n",
"2\n"
] |
[
"2\n2 3\n",
"3\n3 5 1\n",
"1\n2 \n"
] |
none
| 500
|
[
{
"input": "5",
"output": "2\n1 4 "
},
{
"input": "9",
"output": "3\n1 2 6 "
},
{
"input": "2",
"output": "1\n2 "
},
{
"input": "1",
"output": "1\n1 "
},
{
"input": "3",
"output": "2\n1 2 "
},
{
"input": "1000",
"output": "44\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 54 "
},
{
"input": "4",
"output": "2\n1 3 "
},
{
"input": "6",
"output": "3\n1 2 3 "
},
{
"input": "7",
"output": "3\n1 2 4 "
},
{
"input": "8",
"output": "3\n1 2 5 "
},
{
"input": "10",
"output": "4\n1 2 3 4 "
},
{
"input": "11",
"output": "4\n1 2 3 5 "
},
{
"input": "12",
"output": "4\n1 2 3 6 "
},
{
"input": "13",
"output": "4\n1 2 3 7 "
},
{
"input": "14",
"output": "4\n1 2 3 8 "
},
{
"input": "15",
"output": "5\n1 2 3 4 5 "
},
{
"input": "16",
"output": "5\n1 2 3 4 6 "
},
{
"input": "20",
"output": "5\n1 2 3 4 10 "
},
{
"input": "21",
"output": "6\n1 2 3 4 5 6 "
},
{
"input": "22",
"output": "6\n1 2 3 4 5 7 "
},
{
"input": "27",
"output": "6\n1 2 3 4 5 12 "
},
{
"input": "28",
"output": "7\n1 2 3 4 5 6 7 "
},
{
"input": "29",
"output": "7\n1 2 3 4 5 6 8 "
},
{
"input": "35",
"output": "7\n1 2 3 4 5 6 14 "
},
{
"input": "36",
"output": "8\n1 2 3 4 5 6 7 8 "
},
{
"input": "37",
"output": "8\n1 2 3 4 5 6 7 9 "
},
{
"input": "44",
"output": "8\n1 2 3 4 5 6 7 16 "
},
{
"input": "45",
"output": "9\n1 2 3 4 5 6 7 8 9 "
},
{
"input": "46",
"output": "9\n1 2 3 4 5 6 7 8 10 "
},
{
"input": "230",
"output": "20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 40 "
},
{
"input": "231",
"output": "21\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 "
},
{
"input": "232",
"output": "21\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 "
},
{
"input": "239",
"output": "21\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 29 "
},
{
"input": "629",
"output": "34\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 68 "
},
{
"input": "630",
"output": "35\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 "
},
{
"input": "631",
"output": "35\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 "
},
{
"input": "945",
"output": "42\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 84 "
},
{
"input": "946",
"output": "43\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 "
},
{
"input": "947",
"output": "43\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 "
},
{
"input": "989",
"output": "43\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 86 "
},
{
"input": "990",
"output": "44\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 "
},
{
"input": "991",
"output": "44\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 "
},
{
"input": "956",
"output": "43\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 53 "
},
{
"input": "981",
"output": "43\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 78 "
},
{
"input": "867",
"output": "41\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 47 "
},
{
"input": "906",
"output": "42\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 45 "
},
{
"input": "999",
"output": "44\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 53 "
},
{
"input": "100",
"output": "13\n1 2 3 4 5 6 7 8 9 10 11 12 22 "
},
{
"input": "126",
"output": "15\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 21 "
}
] | 1,605,712,821
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 49
| 108
| 0
|
n = int(input())
i = 0
sum = 0
a = []
while sum < n:
i += 1
sum += i
if n-sum < i+1:
a.append(i+n-sum)
break
else:
a.append(i)
print(i)
print(*a)
|
Title: Santa Claus and Candies
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Santa Claus has *n* candies, he dreams to give them as gifts to children.
What is the maximal number of children for whose he can give candies if Santa Claus want each kid should get distinct positive integer number of candies. Santa Class wants to give all *n* candies he has.
Input Specification:
The only line contains positive integer number *n* (1<=≤<=*n*<=≤<=1000) — number of candies Santa Claus has.
Output Specification:
Print to the first line integer number *k* — maximal number of kids which can get candies.
Print to the second line *k* distinct integer numbers: number of candies for each of *k* kid. The sum of *k* printed numbers should be exactly *n*.
If there are many solutions, print any of them.
Demo Input:
['5\n', '9\n', '2\n']
Demo Output:
['2\n2 3\n', '3\n3 5 1\n', '1\n2 \n']
Note:
none
|
```python
n = int(input())
i = 0
sum = 0
a = []
while sum < n:
i += 1
sum += i
if n-sum < i+1:
a.append(i+n-sum)
break
else:
a.append(i)
print(i)
print(*a)
```
| 3
|
|
705
|
A
|
Hulk
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
Dr. Bruce Banner hates his enemies (like others don't). As we all know, he can barely talk when he turns into the incredible Hulk. That's why he asked you to help him to express his feelings.
Hulk likes the Inception so much, and like that his feelings are complicated. They have *n* layers. The first layer is hate, second one is love, third one is hate and so on...
For example if *n*<==<=1, then his feeling is "I hate it" or if *n*<==<=2 it's "I hate that I love it", and if *n*<==<=3 it's "I hate that I love that I hate it" and so on.
Please help Dr. Banner.
|
The only line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of layers of love and hate.
|
Print Dr.Banner's feeling in one line.
|
[
"1\n",
"2\n",
"3\n"
] |
[
"I hate it\n",
"I hate that I love it\n",
"I hate that I love that I hate it\n"
] |
none
| 500
|
[
{
"input": "1",
"output": "I hate it"
},
{
"input": "2",
"output": "I hate that I love it"
},
{
"input": "3",
"output": "I hate that I love that I hate it"
},
{
"input": "4",
"output": "I hate that I love that I hate that I love it"
},
{
"input": "5",
"output": "I hate that I love that I hate that I love that I hate it"
},
{
"input": "10",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it"
},
{
"input": "18",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it"
},
{
"input": "19",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it"
},
{
"input": "76",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "77",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "81",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "82",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "85",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "86",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "100",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "99",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "98",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "33",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it"
},
{
"input": "34",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it"
},
{
"input": "57",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
},
{
"input": "100",
"output": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate ..."
}
] | 1,697,915,664
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 21
| 46
| 0
|
n = int(input())
string = ""
for x in range(1, n+1):
if x % 2 != 0 and x != n:
string += "I hate that "
elif x % 2 == 0 and x != n:
string += "I love that "
elif x % 2 == 0 and x == n:
string += "I love it"
else:
string += "I hate it"
print(string)
|
Title: Hulk
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Dr. Bruce Banner hates his enemies (like others don't). As we all know, he can barely talk when he turns into the incredible Hulk. That's why he asked you to help him to express his feelings.
Hulk likes the Inception so much, and like that his feelings are complicated. They have *n* layers. The first layer is hate, second one is love, third one is hate and so on...
For example if *n*<==<=1, then his feeling is "I hate it" or if *n*<==<=2 it's "I hate that I love it", and if *n*<==<=3 it's "I hate that I love that I hate it" and so on.
Please help Dr. Banner.
Input Specification:
The only line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of layers of love and hate.
Output Specification:
Print Dr.Banner's feeling in one line.
Demo Input:
['1\n', '2\n', '3\n']
Demo Output:
['I hate it\n', 'I hate that I love it\n', 'I hate that I love that I hate it\n']
Note:
none
|
```python
n = int(input())
string = ""
for x in range(1, n+1):
if x % 2 != 0 and x != n:
string += "I hate that "
elif x % 2 == 0 and x != n:
string += "I love that "
elif x % 2 == 0 and x == n:
string += "I love it"
else:
string += "I hate it"
print(string)
```
| 3
|
|
499
|
B
|
Lecture
|
PROGRAMMING
| 1,000
|
[
"implementation",
"strings"
] | null | null |
You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes.
|
The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters.
|
Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input.
|
[
"4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n",
"5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n"
] |
[
"codeforces round letter round\n",
"hbnyiyc joll joll un joll\n"
] |
none
| 500
|
[
{
"input": "4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest",
"output": "codeforces round letter round"
},
{
"input": "5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll",
"output": "hbnyiyc joll joll un joll"
},
{
"input": "5 5\nqueyqj f\nb vn\ntabzvk qpfzoqx\nytnyonoc hnxsd\njpggvr lchinjmt\nqueyqj jpggvr b ytnyonoc b",
"output": "f jpggvr b hnxsd b"
},
{
"input": "10 22\nazbrll oen\ngh vdyayei\njphveblohx vfglv\nmfyxib jepnvhcuwo\nrpikazqj uam\nl rx\nokjenof qpnyi\nj tixqrno\nod itozmfct\nikkdxmirx ev\nqexftojc p\nkdazb zjs\nmbk ykvqjrxaxu\nhbcwhouzq pwt\nmirpsz zfaegpl\nuhkkvcj rlvwj\nef iqnnwtolrc\npjzfcpmeag ecdayth\nsa qcthz\ncbfhfxi qrnbvdryz\nwqel tj\natx smkbid\nef hbcwhouzq cbfhfxi hbcwhouzq mirpsz cbfhfxi cbfhfxi okjenof pjzfcpmeag kdazb",
"output": "ef pwt cbfhfxi pwt mirpsz cbfhfxi cbfhfxi qpnyi ecdayth zjs"
},
{
"input": "1 1\namit am\namit",
"output": "am"
},
{
"input": "1 1\na c\na",
"output": "a"
}
] | 1,643,870,932
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 37
| 61
| 409,600
|
# https://codeforces.com/problemset/problem/499/B
if __name__ == '__main__':
_, m = input().split() # we certainly don't need n
memo = {}
for i in range(int(m)):
a, b = input().split()
a_len = len(a)
b_len = len(b)
if a_len <= b_len:
memo[b] = a
else:
memo[a] = b
lecture = input().split()
for word in lecture:
value = memo.get(word, word) # If word key not in memo, value=word
print(value, end=" ")
|
Title: Lecture
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes.
Input Specification:
The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters.
Output Specification:
Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input.
Demo Input:
['4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n', '5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n']
Demo Output:
['codeforces round letter round\n', 'hbnyiyc joll joll un joll\n']
Note:
none
|
```python
# https://codeforces.com/problemset/problem/499/B
if __name__ == '__main__':
_, m = input().split() # we certainly don't need n
memo = {}
for i in range(int(m)):
a, b = input().split()
a_len = len(a)
b_len = len(b)
if a_len <= b_len:
memo[b] = a
else:
memo[a] = b
lecture = input().split()
for word in lecture:
value = memo.get(word, word) # If word key not in memo, value=word
print(value, end=" ")
```
| 3
|
|
387
|
B
|
George and Round
|
PROGRAMMING
| 1,200
|
[
"brute force",
"greedy",
"two pointers"
] | null | null |
George decided to prepare a Codesecrof round, so he has prepared *m* problems for the round. Let's number the problems with integers 1 through *m*. George estimates the *i*-th problem's complexity by integer *b**i*.
To make the round good, he needs to put at least *n* problems there. Besides, he needs to have at least one problem with complexity exactly *a*1, at least one with complexity exactly *a*2, ..., and at least one with complexity exactly *a**n*. Of course, the round can also have problems with other complexities.
George has a poor imagination. It's easier for him to make some already prepared problem simpler than to come up with a new one and prepare it. George is magnificent at simplifying problems. He can simplify any already prepared problem with complexity *c* to any positive integer complexity *d* (*c*<=≥<=*d*), by changing limits on the input data.
However, nothing is so simple. George understood that even if he simplifies some problems, he can run out of problems for a good round. That's why he decided to find out the minimum number of problems he needs to come up with in addition to the *m* he's prepared in order to make a good round. Note that George can come up with a new problem of any complexity.
|
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=3000) — the minimal number of problems in a good round and the number of problems George's prepared. The second line contains space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a*1<=<<=*a*2<=<<=...<=<<=*a**n*<=≤<=106) — the requirements for the complexity of the problems in a good round. The third line contains space-separated integers *b*1,<=*b*2,<=...,<=*b**m* (1<=≤<=*b*1<=≤<=*b*2...<=≤<=*b**m*<=≤<=106) — the complexities of the problems prepared by George.
|
Print a single integer — the answer to the problem.
|
[
"3 5\n1 2 3\n1 2 2 3 3\n",
"3 5\n1 2 3\n1 1 1 1 1\n",
"3 1\n2 3 4\n1\n"
] |
[
"0\n",
"2\n",
"3\n"
] |
In the first sample the set of the prepared problems meets the requirements for a good round.
In the second sample, it is enough to come up with and prepare two problems with complexities 2 and 3 to get a good round.
In the third sample it is very easy to get a good round if come up with and prepare extra problems with complexities: 2, 3, 4.
| 1,000
|
[
{
"input": "3 5\n1 2 3\n1 2 2 3 3",
"output": "0"
},
{
"input": "3 5\n1 2 3\n1 1 1 1 1",
"output": "2"
},
{
"input": "3 1\n2 3 4\n1",
"output": "3"
},
{
"input": "29 100\n20 32 41 67 72 155 331 382 399 412 465 470 484 511 515 529 616 637 679 715 733 763 826 843 862 903 925 979 989\n15 15 15 17 18 19 19 20 21 21 22 24 25 26 26 27 28 31 32 32 37 38 38 39 39 40 41 42 43 43 45 45 46 47 49 49 50 50 50 51 52 53 53 55 56 57 59 59 59 60 60 62 62 63 63 64 64 64 66 67 69 69 70 70 72 72 73 74 75 76 77 78 80 80 81 81 83 83 83 84 86 86 86 86 87 88 89 91 91 91 92 93 94 94 96 97 97 97 98 98",
"output": "24"
}
] | 1,551,463,793
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 41
| 109
| 614,400
|
n, m = map(int, input().split())
nc = list(map(int, input().split()))
mc = list(map(int, input().split()))
i1 = 0
i2 = 0
while i1 < n and i2 < m:
if nc[i1] <= mc[i2]:
i1 += 1
i2 += 1
print(n-i1)
|
Title: George and Round
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
George decided to prepare a Codesecrof round, so he has prepared *m* problems for the round. Let's number the problems with integers 1 through *m*. George estimates the *i*-th problem's complexity by integer *b**i*.
To make the round good, he needs to put at least *n* problems there. Besides, he needs to have at least one problem with complexity exactly *a*1, at least one with complexity exactly *a*2, ..., and at least one with complexity exactly *a**n*. Of course, the round can also have problems with other complexities.
George has a poor imagination. It's easier for him to make some already prepared problem simpler than to come up with a new one and prepare it. George is magnificent at simplifying problems. He can simplify any already prepared problem with complexity *c* to any positive integer complexity *d* (*c*<=≥<=*d*), by changing limits on the input data.
However, nothing is so simple. George understood that even if he simplifies some problems, he can run out of problems for a good round. That's why he decided to find out the minimum number of problems he needs to come up with in addition to the *m* he's prepared in order to make a good round. Note that George can come up with a new problem of any complexity.
Input Specification:
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=3000) — the minimal number of problems in a good round and the number of problems George's prepared. The second line contains space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a*1<=<<=*a*2<=<<=...<=<<=*a**n*<=≤<=106) — the requirements for the complexity of the problems in a good round. The third line contains space-separated integers *b*1,<=*b*2,<=...,<=*b**m* (1<=≤<=*b*1<=≤<=*b*2...<=≤<=*b**m*<=≤<=106) — the complexities of the problems prepared by George.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['3 5\n1 2 3\n1 2 2 3 3\n', '3 5\n1 2 3\n1 1 1 1 1\n', '3 1\n2 3 4\n1\n']
Demo Output:
['0\n', '2\n', '3\n']
Note:
In the first sample the set of the prepared problems meets the requirements for a good round.
In the second sample, it is enough to come up with and prepare two problems with complexities 2 and 3 to get a good round.
In the third sample it is very easy to get a good round if come up with and prepare extra problems with complexities: 2, 3, 4.
|
```python
n, m = map(int, input().split())
nc = list(map(int, input().split()))
mc = list(map(int, input().split()))
i1 = 0
i2 = 0
while i1 < n and i2 < m:
if nc[i1] <= mc[i2]:
i1 += 1
i2 += 1
print(n-i1)
```
| 3
|
|
463
|
B
|
Caisa and Pylons
|
PROGRAMMING
| 1,100
|
[
"brute force",
"implementation",
"math"
] | null | null |
Caisa solved the problem with the sugar and now he is on the way back to home.
Caisa is playing a mobile game during his path. There are (*n*<=+<=1) pylons numbered from 0 to *n* in this game. The pylon with number 0 has zero height, the pylon with number *i* (*i*<=><=0) has height *h**i*. The goal of the game is to reach *n*-th pylon, and the only move the player can do is to jump from the current pylon (let's denote its number as *k*) to the next one (its number will be *k*<=+<=1). When the player have made such a move, its energy increases by *h**k*<=-<=*h**k*<=+<=1 (if this value is negative the player loses energy). The player must have non-negative amount of energy at any moment of the time.
Initially Caisa stand at 0 pylon and has 0 energy. The game provides a special opportunity: one can pay a single dollar and increase the height of anyone pylon by one. Caisa may use that opportunity several times, but he doesn't want to spend too much money. What is the minimal amount of money he must paid to reach the goal of the game?
|
The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The next line contains *n* integers *h*1, *h*2,<=..., *h**n* (1<=<=≤<=<=*h**i*<=<=≤<=<=105) representing the heights of the pylons.
|
Print a single number representing the minimum number of dollars paid by Caisa.
|
[
"5\n3 4 3 2 4\n",
"3\n4 4 4\n"
] |
[
"4\n",
"4\n"
] |
In the first sample he can pay 4 dollars and increase the height of pylon with number 0 by 4 units. Then he can safely pass to the last pylon.
| 1,000
|
[
{
"input": "5\n3 4 3 2 4",
"output": "4"
},
{
"input": "3\n4 4 4",
"output": "4"
},
{
"input": "99\n1401 2019 1748 3785 3236 3177 3443 3772 2138 1049 353 908 310 2388 1322 88 2160 2783 435 2248 1471 706 2468 2319 3156 3506 2794 1999 1983 2519 2597 3735 537 344 3519 3772 3872 2961 3895 2010 10 247 3269 671 2986 942 758 1146 77 1545 3745 1547 2250 2565 217 1406 2070 3010 3404 404 1528 2352 138 2065 3047 3656 2188 2919 2616 2083 1280 2977 2681 548 4000 1667 1489 1109 3164 1565 2653 3260 3463 903 1824 3679 2308 245 2689 2063 648 568 766 785 2984 3812 440 1172 2730",
"output": "4000"
},
{
"input": "68\n477 1931 3738 3921 2306 1823 3328 2057 661 3993 2967 3520 171 1739 1525 1817 209 3475 1902 2666 518 3283 3412 3040 3383 2331 1147 1460 1452 1800 1327 2280 82 1416 2200 2388 3238 1879 796 250 1872 114 121 2042 1853 1645 211 2061 1472 2464 726 1989 1746 489 1380 1128 2819 2527 2939 622 678 265 2902 1111 2032 1453 3850 1621",
"output": "3993"
},
{
"input": "30\n30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1",
"output": "30"
},
{
"input": "3\n3 2 1",
"output": "3"
},
{
"input": "1\n69",
"output": "69"
}
] | 1,665,946,645
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 49
| 77
| 41,881,600
|
# Caisa and Pylons
n = int(input())
s = list(map(int,input().split(" ")))
print(max(s))
|
Title: Caisa and Pylons
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Caisa solved the problem with the sugar and now he is on the way back to home.
Caisa is playing a mobile game during his path. There are (*n*<=+<=1) pylons numbered from 0 to *n* in this game. The pylon with number 0 has zero height, the pylon with number *i* (*i*<=><=0) has height *h**i*. The goal of the game is to reach *n*-th pylon, and the only move the player can do is to jump from the current pylon (let's denote its number as *k*) to the next one (its number will be *k*<=+<=1). When the player have made such a move, its energy increases by *h**k*<=-<=*h**k*<=+<=1 (if this value is negative the player loses energy). The player must have non-negative amount of energy at any moment of the time.
Initially Caisa stand at 0 pylon and has 0 energy. The game provides a special opportunity: one can pay a single dollar and increase the height of anyone pylon by one. Caisa may use that opportunity several times, but he doesn't want to spend too much money. What is the minimal amount of money he must paid to reach the goal of the game?
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The next line contains *n* integers *h*1, *h*2,<=..., *h**n* (1<=<=≤<=<=*h**i*<=<=≤<=<=105) representing the heights of the pylons.
Output Specification:
Print a single number representing the minimum number of dollars paid by Caisa.
Demo Input:
['5\n3 4 3 2 4\n', '3\n4 4 4\n']
Demo Output:
['4\n', '4\n']
Note:
In the first sample he can pay 4 dollars and increase the height of pylon with number 0 by 4 units. Then he can safely pass to the last pylon.
|
```python
# Caisa and Pylons
n = int(input())
s = list(map(int,input().split(" ")))
print(max(s))
```
| 3
|
|
32
|
B
|
Borze
|
PROGRAMMING
| 800
|
[
"expression parsing",
"implementation"
] |
B. Borze
|
2
|
256
|
Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as «.», 1 as «-.» and 2 as «--». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet.
|
The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes).
|
Output the decoded ternary number. It can have leading zeroes.
|
[
".-.--\n",
"--.\n",
"-..-.--\n"
] |
[
"012",
"20",
"1012"
] |
none
| 1,000
|
[
{
"input": ".-.--",
"output": "012"
},
{
"input": "--.",
"output": "20"
},
{
"input": "-..-.--",
"output": "1012"
},
{
"input": "---..",
"output": "210"
},
{
"input": "..--.---..",
"output": "0020210"
},
{
"input": "-.....----.",
"output": "10000220"
},
{
"input": ".",
"output": "0"
},
{
"input": "-.",
"output": "1"
},
{
"input": "--",
"output": "2"
},
{
"input": "..",
"output": "00"
},
{
"input": "--.",
"output": "20"
},
{
"input": ".--.",
"output": "020"
},
{
"input": ".-.-..",
"output": "0110"
},
{
"input": "----.-.",
"output": "2201"
},
{
"input": "-..--.-.",
"output": "10201"
},
{
"input": "..--..--.",
"output": "0020020"
},
{
"input": "-.-.---.--..-..-.-.-..-..-.--.",
"output": "112120010111010120"
},
{
"input": "---.-.-.------..-..-..-..-.-..-.--.-.-..-.-.-----..-.-.",
"output": "21112220010101011012011011221011"
},
{
"input": "-.-..--.-.-.-.-.-..-.-.-.---------.--.---..--...--.-----.-.-.-...--.-.-.---.------.--..-.--.-----.-...-..------",
"output": "11020111110111222212021020002022111100201121222020012022110010222"
},
{
"input": "-.-..-.--.---..---.-..---.-...-.-.----..-.---.-.---..-.--.---.-.-------.---.--....----.-.---.---.---.----.-----..---.-.-.-.-----.--.-------.-..",
"output": "110120210211021100112200121121012021122212120000220121212122022102111122120222110"
},
{
"input": ".-..-.-.---.-----.--.---...-.--.-.-....-..",
"output": "01011212212021001201100010"
},
{
"input": ".------.-.---..--...-..-..-.-.-.--.--.-..-.--...-.-.---.-.-.------..--..-.---..----.-..-.--.---.-.----.-.---...-.-.-.-----.-.-.---.---.-.....-.-...-----.-...-.---.-..-.-----.--...---.-.-..-.--.-.---..",
"output": "022201210200010101112020101200011211122200200121022010120211220121001112211121211000011002211001211012212000211101201210"
},
{
"input": ".-.--.---.-----.-.-----.-.-..-----..-..----..--.-.--.----..---.---..-.-.-----..-------.----..----.-..---...-----..-..-----...-..-.-.-----....---..---..-.-----...-.--...--.-.---.-.-.-.-.-...---..----.",
"output": "01202122112211102210102200201202200212101122102221220022010210022101022100101122100021021012210012000201211111100210220"
},
{
"input": "..-.-.-.---.-.-.-..-.-..-.-.---.-------.---..-----.---....-.---.--.--.-.---.---------.-..---.-.-.--..---.---.-.---.-.-..-.-..-.-.-.----.--.-....--------.-.---..----.------.-.-.--.--.-----.-----.----",
"output": "0011121111011011212221210221210001212020121222211021112002121121110110111220201000222201210220222011202022122122"
},
{
"input": "-..-------.------.-..--.-.-..--.-.-..-----..-.-.-..-..-..--.---..-----..---..-..--.-..-.-.---...-.....-------.---.-----.-...-.-...-.-.---.---.-----.--.--...-.--..-.-..-...-.-.-.-.---..---.-..-.-.-.-..",
"output": "102221222010201102011022101110101020210221021010201011210010000222121221100110011212122120200012001101001111210211011110"
},
{
"input": ".-.----.-.--..-.-.-.-..----..-.-...--.-.---.---.-------..-.--..-......--.------.--.----.--...-.--.--..-----..-.....--.--.-.-.------..--------.----------..-.---.----.---.-..--..-.....-..------.--.",
"output": "012201200111102200110020121212221012001000002022202022020001202002210100002020112220022220222220012122021102001000010222020"
},
{
"input": "------.-----.-....--.-.----.-.---.-.-..---.-.---.-----..-...-.-.---..-.-.-..-.-.-...-.-.-.----..--.------.----.-..-.--...-.-------...-.-..-.-.--.--.---..--..--------.--.-.-.---.-.-.-...----.--..-.--..",
"output": "222022110002012201211102112122101001121011101110011122002022202201012000122210011011202021020022220201121111002202001200"
},
{
"input": "-.---...----...--.--...-.--.----",
"output": "121002200020200012022"
},
{
"input": "--.--.--.---.--.-.---.-.-..-..--.-..---.-.....-..---.-----.--...-.-.-------.-.--.-.----.-..-.------.",
"output": "202020212012111010201021100001021221200011222112012201012220"
}
] | 1,624,444,306
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 30
| 124
| 0
|
list = input()
list = list.replace('--', '2')
list = list.replace('-.','1')
list = list.replace('.','0')
print("".join(list))
|
Title: Borze
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as «.», 1 as «-.» and 2 as «--». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet.
Input Specification:
The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes).
Output Specification:
Output the decoded ternary number. It can have leading zeroes.
Demo Input:
['.-.--\n', '--.\n', '-..-.--\n']
Demo Output:
['012', '20', '1012']
Note:
none
|
```python
list = input()
list = list.replace('--', '2')
list = list.replace('-.','1')
list = list.replace('.','0')
print("".join(list))
```
| 3.969
|
910
|
A
|
The Way to Home
|
PROGRAMMING
| 800
|
[
"dfs and similar",
"dp",
"greedy",
"implementation"
] | null | null |
A frog lives on the axis *Ox* and needs to reach home which is in the point *n*. She starts from the point 1. The frog can jump to the right at a distance not more than *d*. So, after she jumped from the point *x* she can reach the point *x*<=+<=*a*, where *a* is an integer from 1 to *d*.
For each point from 1 to *n* is known if there is a lily flower in it. The frog can jump only in points with a lilies. Guaranteed that there are lilies in the points 1 and *n*.
Determine the minimal number of jumps that the frog needs to reach home which is in the point *n* from the point 1. Consider that initially the frog is in the point 1. If the frog can not reach home, print -1.
|
The first line contains two integers *n* and *d* (2<=≤<=*n*<=≤<=100, 1<=≤<=*d*<=≤<=*n*<=-<=1) — the point, which the frog wants to reach, and the maximal length of the frog jump.
The second line contains a string *s* of length *n*, consisting of zeros and ones. If a character of the string *s* equals to zero, then in the corresponding point there is no lily flower. In the other case, in the corresponding point there is a lily flower. Guaranteed that the first and the last characters of the string *s* equal to one.
|
If the frog can not reach the home, print -1.
In the other case, print the minimal number of jumps that the frog needs to reach the home which is in the point *n* from the point 1.
|
[
"8 4\n10010101\n",
"4 2\n1001\n",
"8 4\n11100101\n",
"12 3\n101111100101\n"
] |
[
"2\n",
"-1\n",
"3\n",
"4\n"
] |
In the first example the from can reach home in two jumps: the first jump from the point 1 to the point 4 (the length of the jump is three), and the second jump from the point 4 to the point 8 (the length of the jump is four).
In the second example the frog can not reach home, because to make it she need to jump on a distance three, but the maximum length of her jump equals to two.
| 500
|
[
{
"input": "8 4\n10010101",
"output": "2"
},
{
"input": "4 2\n1001",
"output": "-1"
},
{
"input": "8 4\n11100101",
"output": "3"
},
{
"input": "12 3\n101111100101",
"output": "4"
},
{
"input": "5 4\n11011",
"output": "1"
},
{
"input": "5 4\n10001",
"output": "1"
},
{
"input": "10 7\n1101111011",
"output": "2"
},
{
"input": "10 9\n1110000101",
"output": "1"
},
{
"input": "10 9\n1100000001",
"output": "1"
},
{
"input": "20 5\n11111111110111101001",
"output": "4"
},
{
"input": "20 11\n11100000111000011011",
"output": "2"
},
{
"input": "20 19\n10100000000000000001",
"output": "1"
},
{
"input": "50 13\n10011010100010100111010000010000000000010100000101",
"output": "5"
},
{
"input": "50 8\n11010100000011001100001100010001110000101100110011",
"output": "8"
},
{
"input": "99 4\n111111111111111111111111111111111111111111111111111111111011111111111111111111111111111111111111111",
"output": "25"
},
{
"input": "99 98\n100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"output": "1"
},
{
"input": "100 5\n1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",
"output": "20"
},
{
"input": "100 4\n1111111111111111111111111111111111111111111111111111111111111111111111111111110111111111111111111111",
"output": "25"
},
{
"input": "100 4\n1111111111111111111111111111111111111111111111111111111111111101111111011111111111111111111111111111",
"output": "25"
},
{
"input": "100 3\n1111110111111111111111111111111111111111101111111111111111111111111101111111111111111111111111111111",
"output": "34"
},
{
"input": "100 8\n1111111111101110111111111111111111111111111111111111111111111111111111110011111111111111011111111111",
"output": "13"
},
{
"input": "100 7\n1011111111111111111011101111111011111101111111111101111011110111111111111111111111110111111011111111",
"output": "15"
},
{
"input": "100 9\n1101111110111110101111111111111111011001110111011101011111111111010101111111100011011111111010111111",
"output": "12"
},
{
"input": "100 6\n1011111011111111111011010110011001010101111110111111000111011011111110101101110110101111110000100111",
"output": "18"
},
{
"input": "100 7\n1110001111101001110011111111111101111101101001010001101000101100000101101101011111111101101000100001",
"output": "16"
},
{
"input": "100 11\n1000010100011100011011100000010011001111011110100100001011010100011011111001101101110110010110001101",
"output": "10"
},
{
"input": "100 9\n1001001110000011100100000001000110111101101010101001000101001010011001101100110011011110110011011111",
"output": "13"
},
{
"input": "100 7\n1010100001110101111011000111000001110100100110110001110110011010100001100100001110111100110000101001",
"output": "18"
},
{
"input": "100 10\n1110110000000110000000101110100000111000001011100000100110010001110111001010101000011000000001011011",
"output": "12"
},
{
"input": "100 13\n1000000100000000100011000010010000101010011110000000001000011000110100001000010001100000011001011001",
"output": "9"
},
{
"input": "100 11\n1000000000100000010000100001000100000000010000100100000000100100001000000001011000110001000000000101",
"output": "12"
},
{
"input": "100 22\n1000100000001010000000000000000001000000100000000000000000010000000000001000000000000000000100000001",
"output": "7"
},
{
"input": "100 48\n1000000000000000011000000000000000000000000000000001100000000000000000000000000000000000000000000001",
"output": "3"
},
{
"input": "100 48\n1000000000000000000000100000000000000000000000000000000000000000000001000000000000000000100000000001",
"output": "3"
},
{
"input": "100 75\n1000000100000000000000000000000000000000000000000000000000000000000000000000000001000000000000000001",
"output": "3"
},
{
"input": "100 73\n1000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001",
"output": "2"
},
{
"input": "100 99\n1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"output": "1"
},
{
"input": "100 1\n1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",
"output": "99"
},
{
"input": "100 2\n1111111111111111111111111111111110111111111111111111111111111111111111111111111111111111111111111111",
"output": "50"
},
{
"input": "100 1\n1111111111111111011111111111111111111111111111111111111111111111111101111111111111111111111111111111",
"output": "-1"
},
{
"input": "100 3\n1111111111111111111111111101111111111111111111111011111111111111111111111111111011111111111111111111",
"output": "33"
},
{
"input": "100 1\n1101111111111111111111101111111111111111111111111111111111111011111111101111101111111111111111111111",
"output": "-1"
},
{
"input": "100 6\n1111111111111111111111101111111101011110001111111111111111110111111111111111111111111110010111111111",
"output": "17"
},
{
"input": "100 2\n1111111101111010110111011011110111101111111011111101010101011111011111111111111011111001101111101111",
"output": "-1"
},
{
"input": "100 8\n1100110101111001101001111000111100110100011110111011001011111110000110101000001110111011100111011011",
"output": "14"
},
{
"input": "100 10\n1000111110100000001001101100000010011100010101001100010011111001001101111110110111101111001010001101",
"output": "11"
},
{
"input": "100 7\n1110000011010001110101011010000011110001000000011101110111010110001000011101111010010001101111110001",
"output": "-1"
},
{
"input": "100 3\n1111010001000001011011000011001111000100101000101101000010111101111000010000011110110011001101010111",
"output": "-1"
},
{
"input": "100 9\n1101010101101100010111011000010100001010000101010011001001100010110110000000010000101000000001101101",
"output": "13"
},
{
"input": "100 14\n1010100000000000010101000010001100000000000011100010000001000001011010001110001010100000100001101101",
"output": "9"
},
{
"input": "100 13\n1000000001101001110000010000011001000000000000001010000000100001001010000000000000000100010000000001",
"output": "-1"
},
{
"input": "100 18\n1000000000000000110000000000000000010000000001000001000001000000000100000000000010000000000000000001",
"output": "-1"
},
{
"input": "100 32\n1000000000000000000000000001000000000000000000000101000000000000000000000000000000000001000000000001",
"output": "-1"
},
{
"input": "100 79\n1000000001000000000101000000000000000000000000000000000000000000000000000000000000000000000000000001",
"output": "2"
},
{
"input": "100 41\n1000000000000000000000000000000000010000000000000000000000000000000000000000100000000000000000000001",
"output": "3"
},
{
"input": "100 82\n1000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000001",
"output": "2"
},
{
"input": "100 96\n1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"output": "-1"
},
{
"input": "43 30\n1001000001111111010100100100110101011101101",
"output": "2"
},
{
"input": "7 1\n1111111",
"output": "6"
},
{
"input": "9 3\n101000001",
"output": "-1"
},
{
"input": "10 3\n1100000001",
"output": "-1"
},
{
"input": "8 2\n10000101",
"output": "-1"
},
{
"input": "2 1\n11",
"output": "1"
}
] | 1,649,245,629
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 63
| 46
| 0
|
n,k=map(int,input().split())
r=input();move=i=0
while i<n-1:
notfind=True
for j in range(min(n-1,i+k),i,-1):
if r[j]=='1':i=j;move+=1;notfind=False;break
if notfind:move=-1;break
print(move)
|
Title: The Way to Home
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A frog lives on the axis *Ox* and needs to reach home which is in the point *n*. She starts from the point 1. The frog can jump to the right at a distance not more than *d*. So, after she jumped from the point *x* she can reach the point *x*<=+<=*a*, where *a* is an integer from 1 to *d*.
For each point from 1 to *n* is known if there is a lily flower in it. The frog can jump only in points with a lilies. Guaranteed that there are lilies in the points 1 and *n*.
Determine the minimal number of jumps that the frog needs to reach home which is in the point *n* from the point 1. Consider that initially the frog is in the point 1. If the frog can not reach home, print -1.
Input Specification:
The first line contains two integers *n* and *d* (2<=≤<=*n*<=≤<=100, 1<=≤<=*d*<=≤<=*n*<=-<=1) — the point, which the frog wants to reach, and the maximal length of the frog jump.
The second line contains a string *s* of length *n*, consisting of zeros and ones. If a character of the string *s* equals to zero, then in the corresponding point there is no lily flower. In the other case, in the corresponding point there is a lily flower. Guaranteed that the first and the last characters of the string *s* equal to one.
Output Specification:
If the frog can not reach the home, print -1.
In the other case, print the minimal number of jumps that the frog needs to reach the home which is in the point *n* from the point 1.
Demo Input:
['8 4\n10010101\n', '4 2\n1001\n', '8 4\n11100101\n', '12 3\n101111100101\n']
Demo Output:
['2\n', '-1\n', '3\n', '4\n']
Note:
In the first example the from can reach home in two jumps: the first jump from the point 1 to the point 4 (the length of the jump is three), and the second jump from the point 4 to the point 8 (the length of the jump is four).
In the second example the frog can not reach home, because to make it she need to jump on a distance three, but the maximum length of her jump equals to two.
|
```python
n,k=map(int,input().split())
r=input();move=i=0
while i<n-1:
notfind=True
for j in range(min(n-1,i+k),i,-1):
if r[j]=='1':i=j;move+=1;notfind=False;break
if notfind:move=-1;break
print(move)
```
| 3
|
|
46
|
A
|
Ball Game
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation"
] |
A. Ball Game
|
2
|
256
|
A kindergarten teacher Natalia Pavlovna has invented a new ball game. This game not only develops the children's physique, but also teaches them how to count.
The game goes as follows. Kids stand in circle. Let's agree to think of the children as numbered with numbers from 1 to *n* clockwise and the child number 1 is holding the ball. First the first child throws the ball to the next one clockwise, i.e. to the child number 2. Then the child number 2 throws the ball to the next but one child, i.e. to the child number 4, then the fourth child throws the ball to the child that stands two children away from him, i.e. to the child number 7, then the ball is thrown to the child who stands 3 children away from the child number 7, then the ball is thrown to the child who stands 4 children away from the last one, and so on. It should be mentioned that when a ball is thrown it may pass the beginning of the circle. For example, if *n*<==<=5, then after the third throw the child number 2 has the ball again. Overall, *n*<=-<=1 throws are made, and the game ends.
The problem is that not all the children get the ball during the game. If a child doesn't get the ball, he gets very upset and cries until Natalia Pavlovna gives him a candy. That's why Natalia Pavlovna asks you to help her to identify the numbers of the children who will get the ball after each throw.
|
The first line contains integer *n* (2<=≤<=*n*<=≤<=100) which indicates the number of kids in the circle.
|
In the single line print *n*<=-<=1 numbers which are the numbers of children who will get the ball after each throw. Separate the numbers by spaces.
|
[
"10\n",
"3\n"
] |
[
"2 4 7 1 6 2 9 7 6\n",
"2 1\n"
] |
none
| 0
|
[
{
"input": "10",
"output": "2 4 7 1 6 2 9 7 6"
},
{
"input": "3",
"output": "2 1"
},
{
"input": "4",
"output": "2 4 3"
},
{
"input": "5",
"output": "2 4 2 1"
},
{
"input": "6",
"output": "2 4 1 5 4"
},
{
"input": "7",
"output": "2 4 7 4 2 1"
},
{
"input": "8",
"output": "2 4 7 3 8 6 5"
},
{
"input": "9",
"output": "2 4 7 2 7 4 2 1"
},
{
"input": "2",
"output": "2"
},
{
"input": "11",
"output": "2 4 7 11 5 11 7 4 2 1"
},
{
"input": "12",
"output": "2 4 7 11 4 10 5 1 10 8 7"
},
{
"input": "13",
"output": "2 4 7 11 3 9 3 11 7 4 2 1"
},
{
"input": "20",
"output": "2 4 7 11 16 2 9 17 6 16 7 19 12 6 1 17 14 12 11"
},
{
"input": "25",
"output": "2 4 7 11 16 22 4 12 21 6 17 4 17 6 21 12 4 22 16 11 7 4 2 1"
},
{
"input": "30",
"output": "2 4 7 11 16 22 29 7 16 26 7 19 2 16 1 17 4 22 11 1 22 14 7 1 26 22 19 17 16"
},
{
"input": "35",
"output": "2 4 7 11 16 22 29 2 11 21 32 9 22 1 16 32 14 32 16 1 22 9 32 21 11 2 29 22 16 11 7 4 2 1"
},
{
"input": "40",
"output": "2 4 7 11 16 22 29 37 6 16 27 39 12 26 1 17 34 12 31 11 32 14 37 21 6 32 19 7 36 26 17 9 2 36 31 27 24 22 21"
},
{
"input": "45",
"output": "2 4 7 11 16 22 29 37 1 11 22 34 2 16 31 2 19 37 11 31 7 29 7 31 11 37 19 2 31 16 2 34 22 11 1 37 29 22 16 11 7 4 2 1"
},
{
"input": "50",
"output": "2 4 7 11 16 22 29 37 46 6 17 29 42 6 21 37 4 22 41 11 32 4 27 1 26 2 29 7 36 16 47 29 12 46 31 17 4 42 31 21 12 4 47 41 36 32 29 27 26"
},
{
"input": "55",
"output": "2 4 7 11 16 22 29 37 46 1 12 24 37 51 11 27 44 7 26 46 12 34 2 26 51 22 49 22 51 26 2 34 12 46 26 7 44 27 11 51 37 24 12 1 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "60",
"output": "2 4 7 11 16 22 29 37 46 56 7 19 32 46 1 17 34 52 11 31 52 14 37 1 26 52 19 47 16 46 17 49 22 56 31 7 44 22 1 41 22 4 47 31 16 2 49 37 26 16 7 59 52 46 41 37 34 32 31"
},
{
"input": "65",
"output": "2 4 7 11 16 22 29 37 46 56 2 14 27 41 56 7 24 42 61 16 37 59 17 41 1 27 54 17 46 11 42 9 42 11 46 17 54 27 1 41 17 59 37 16 61 42 24 7 56 41 27 14 2 56 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "70",
"output": "2 4 7 11 16 22 29 37 46 56 67 9 22 36 51 67 14 32 51 1 22 44 67 21 46 2 29 57 16 46 7 39 2 36 1 37 4 42 11 51 22 64 37 11 56 32 9 57 36 16 67 49 32 16 1 57 44 32 21 11 2 64 57 51 46 42 39 37 36"
},
{
"input": "75",
"output": "2 4 7 11 16 22 29 37 46 56 67 4 17 31 46 62 4 22 41 61 7 29 52 1 26 52 4 32 61 16 47 4 37 71 31 67 29 67 31 71 37 4 47 16 61 32 4 52 26 1 52 29 7 61 41 22 4 62 46 31 17 4 67 56 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "80",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 12 26 41 57 74 12 31 51 72 14 37 61 6 32 59 7 36 66 17 49 2 36 71 27 64 22 61 21 62 24 67 31 76 42 9 57 26 76 47 19 72 46 21 77 54 32 11 71 52 34 17 1 66 52 39 27 16 6 77 69 62 56 51 47 44 42 41"
},
{
"input": "85",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 7 21 36 52 69 2 21 41 62 84 22 46 71 12 39 67 11 41 72 19 52 1 36 72 24 62 16 56 12 54 12 56 16 62 24 72 36 1 52 19 72 41 11 67 39 12 71 46 22 84 62 41 21 2 69 52 36 21 7 79 67 56 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "90",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 2 16 31 47 64 82 11 31 52 74 7 31 56 82 19 47 76 16 47 79 22 56 1 37 74 22 61 11 52 4 47 1 46 2 49 7 56 16 67 29 82 46 11 67 34 2 61 31 2 64 37 11 76 52 29 7 76 56 37 19 2 76 61 47 34 22 11 1 82 74 67 61 56 52 49 47 46"
},
{
"input": "95",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 92 11 26 42 59 77 1 21 42 64 87 16 41 67 94 27 56 86 22 54 87 26 61 2 39 77 21 61 7 49 92 41 86 37 84 37 86 41 92 49 7 61 21 77 39 2 61 26 87 54 22 86 56 27 94 67 41 16 87 64 42 21 1 77 59 42 26 11 92 79 67 56 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "96",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 92 10 25 41 58 76 95 19 40 62 85 13 38 64 91 23 52 82 17 49 82 20 55 91 32 70 13 53 94 40 83 31 76 26 73 25 74 28 79 35 88 46 5 61 22 80 43 7 68 34 1 65 34 4 71 43 16 86 61 37 14 88 67 47 28 10 89 73 58 44 31 19 8 94 85 77 70 64 59 55 52 50 49"
},
{
"input": "97",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 92 9 24 40 57 75 94 17 38 60 83 10 35 61 88 19 48 78 12 44 77 14 49 85 25 63 5 45 86 31 74 21 66 15 62 13 62 15 66 21 74 31 86 45 5 63 25 85 49 14 77 44 12 78 48 19 88 61 35 10 83 60 38 17 94 75 57 40 24 9 92 79 67 56 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "98",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 92 8 23 39 56 74 93 15 36 58 81 7 32 58 85 15 44 74 7 39 72 8 43 79 18 56 95 37 78 22 65 11 56 4 51 1 50 2 53 7 60 16 71 29 86 46 7 67 30 92 57 23 88 56 25 93 64 36 9 81 56 32 9 85 64 44 25 7 88 72 57 43 30 18 7 95 86 78 71 65 60 56 53 51 50"
},
{
"input": "99",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 92 7 22 38 55 73 92 13 34 56 79 4 29 55 82 11 40 70 2 34 67 2 37 73 11 49 88 29 70 13 56 1 46 92 40 88 38 88 40 92 46 1 56 13 70 29 88 49 11 73 37 2 67 34 2 70 40 11 82 55 29 4 79 56 34 13 92 73 55 38 22 7 92 79 67 56 46 37 29 22 16 11 7 4 2 1"
},
{
"input": "100",
"output": "2 4 7 11 16 22 29 37 46 56 67 79 92 6 21 37 54 72 91 11 32 54 77 1 26 52 79 7 36 66 97 29 62 96 31 67 4 42 81 21 62 4 47 91 36 82 29 77 26 76 27 79 32 86 41 97 54 12 71 31 92 54 17 81 46 12 79 47 16 86 57 29 2 76 51 27 4 82 61 41 22 4 87 71 56 42 29 17 6 96 87 79 72 66 61 57 54 52 51"
}
] | 1,591,068,859
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 33
| 218
| 0
|
n = int(input())
v = n
i = 1
j = 1
while(n-1 > 0):
z = i+j
if z > n:
z = z % v
if z % v == 0:
z = v
print(z,end=" ")
i = z
j+=1
n-=1
|
Title: Ball Game
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A kindergarten teacher Natalia Pavlovna has invented a new ball game. This game not only develops the children's physique, but also teaches them how to count.
The game goes as follows. Kids stand in circle. Let's agree to think of the children as numbered with numbers from 1 to *n* clockwise and the child number 1 is holding the ball. First the first child throws the ball to the next one clockwise, i.e. to the child number 2. Then the child number 2 throws the ball to the next but one child, i.e. to the child number 4, then the fourth child throws the ball to the child that stands two children away from him, i.e. to the child number 7, then the ball is thrown to the child who stands 3 children away from the child number 7, then the ball is thrown to the child who stands 4 children away from the last one, and so on. It should be mentioned that when a ball is thrown it may pass the beginning of the circle. For example, if *n*<==<=5, then after the third throw the child number 2 has the ball again. Overall, *n*<=-<=1 throws are made, and the game ends.
The problem is that not all the children get the ball during the game. If a child doesn't get the ball, he gets very upset and cries until Natalia Pavlovna gives him a candy. That's why Natalia Pavlovna asks you to help her to identify the numbers of the children who will get the ball after each throw.
Input Specification:
The first line contains integer *n* (2<=≤<=*n*<=≤<=100) which indicates the number of kids in the circle.
Output Specification:
In the single line print *n*<=-<=1 numbers which are the numbers of children who will get the ball after each throw. Separate the numbers by spaces.
Demo Input:
['10\n', '3\n']
Demo Output:
['2 4 7 1 6 2 9 7 6\n', '2 1\n']
Note:
none
|
```python
n = int(input())
v = n
i = 1
j = 1
while(n-1 > 0):
z = i+j
if z > n:
z = z % v
if z % v == 0:
z = v
print(z,end=" ")
i = z
j+=1
n-=1
```
| 3.9455
|
258
|
A
|
Little Elephant and Bits
|
PROGRAMMING
| 1,100
|
[
"greedy",
"math"
] | null | null |
The Little Elephant has an integer *a*, written in the binary notation. He wants to write this number on a piece of paper.
To make sure that the number *a* fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number *a* in the binary record. At that a new number appears. It consists of the remaining binary digits, written in the corresponding order (possible, with leading zeroes).
The Little Elephant wants the number he is going to write on the paper to be as large as possible. Help him find the maximum number that he can obtain after deleting exactly one binary digit and print it in the binary notation.
|
The single line contains integer *a*, written in the binary notation without leading zeroes. This number contains more than 1 and at most 105 digits.
|
In the single line print the number that is written without leading zeroes in the binary notation — the answer to the problem.
|
[
"101\n",
"110010\n"
] |
[
"11\n",
"11010\n"
] |
In the first sample the best strategy is to delete the second digit. That results in number 11<sub class="lower-index">2</sub> = 3<sub class="lower-index">10</sub>.
In the second sample the best strategy is to delete the third or fourth digits — that results in number 11010<sub class="lower-index">2</sub> = 26<sub class="lower-index">10</sub>.
| 500
|
[
{
"input": "101",
"output": "11"
},
{
"input": "110010",
"output": "11010"
},
{
"input": "10000",
"output": "1000"
},
{
"input": "1111111110",
"output": "111111111"
},
{
"input": "10100101011110101",
"output": "1100101011110101"
},
{
"input": "111010010111",
"output": "11110010111"
},
{
"input": "11110111011100000000",
"output": "1111111011100000000"
},
{
"input": "11110010010100001110110101110011110110100111101",
"output": "1111010010100001110110101110011110110100111101"
},
{
"input": "1001011111010010100111111",
"output": "101011111010010100111111"
},
{
"input": "1111111111",
"output": "111111111"
},
{
"input": "1111111111111111111100111101001110110111111000001111110101001101001110011000001011001111111000110101",
"output": "111111111111111111110111101001110110111111000001111110101001101001110011000001011001111111000110101"
},
{
"input": "11010110000100100101111110111001001010011000011011000010010100111010101000111010011101101111110001111000101000001100011101110100",
"output": "1110110000100100101111110111001001010011000011011000010010100111010101000111010011101101111110001111000101000001100011101110100"
},
{
"input": "11111111111111111111111110110111001101100111010010101101101001011100011011000111010011110010101100010001011101011010010100001000011100001101101001100010100001001010010100100001111110100110011000101100001111111011010111001011111110111101000100101001001011",
"output": "1111111111111111111111111110111001101100111010010101101101001011100011011000111010011110010101100010001011101011010010100001000011100001101101001100010100001001010010100100001111110100110011000101100001111111011010111001011111110111101000100101001001011"
},
{
"input": "11100010010010000110101101101100111111001010001101101001001111010110010111001011010000001100110101000101111000001111101111110010000010101110011110101101010110001100011101111011100010011101100111110010111111100110101000000111101000000000110100100101111101000110101010101101001110001110000101011010101100011100100111100010001011010010001100011111110010011010011000111000100111100010110100011010010101011011011111110100001110000011011",
"output": "1110010010010000110101101101100111111001010001101101001001111010110010111001011010000001100110101000101111000001111101111110010000010101110011110101101010110001100011101111011100010011101100111110010111111100110101000000111101000000000110100100101111101000110101010101101001110001110000101011010101100011100100111100010001011010010001100011111110010011010011000111000100111100010110100011010010101011011011111110100001110000011011"
},
{
"input": "11",
"output": "1"
},
{
"input": "111",
"output": "11"
},
{
"input": "111111",
"output": "11111"
},
{
"input": "11111",
"output": "1111"
},
{
"input": "1111",
"output": "111"
}
] | 1,620,645,710
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 37
| 218
| 23,859,200
|
a = input()
if "0" in a:
res = list(a).copy()
res.remove("0")
print(''.join(res))
else:
print(a[:-1])
|
Title: Little Elephant and Bits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Little Elephant has an integer *a*, written in the binary notation. He wants to write this number on a piece of paper.
To make sure that the number *a* fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number *a* in the binary record. At that a new number appears. It consists of the remaining binary digits, written in the corresponding order (possible, with leading zeroes).
The Little Elephant wants the number he is going to write on the paper to be as large as possible. Help him find the maximum number that he can obtain after deleting exactly one binary digit and print it in the binary notation.
Input Specification:
The single line contains integer *a*, written in the binary notation without leading zeroes. This number contains more than 1 and at most 105 digits.
Output Specification:
In the single line print the number that is written without leading zeroes in the binary notation — the answer to the problem.
Demo Input:
['101\n', '110010\n']
Demo Output:
['11\n', '11010\n']
Note:
In the first sample the best strategy is to delete the second digit. That results in number 11<sub class="lower-index">2</sub> = 3<sub class="lower-index">10</sub>.
In the second sample the best strategy is to delete the third or fourth digits — that results in number 11010<sub class="lower-index">2</sub> = 26<sub class="lower-index">10</sub>.
|
```python
a = input()
if "0" in a:
res = list(a).copy()
res.remove("0")
print(''.join(res))
else:
print(a[:-1])
```
| 3
|
|
58
|
A
|
Chat room
|
PROGRAMMING
| 1,000
|
[
"greedy",
"strings"
] |
A. Chat room
|
1
|
256
|
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
|
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
|
If Vasya managed to say hello, print "YES", otherwise print "NO".
|
[
"ahhellllloou\n",
"hlelo\n"
] |
[
"YES\n",
"NO\n"
] |
none
| 500
|
[
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymedasloqbq",
"output": "NO"
},
{
"input": "yehluhlkwo",
"output": "NO"
},
{
"input": "hatlevhhalrohairnolsvocafgueelrqmlqlleello",
"output": "YES"
},
{
"input": "hhhtehdbllnhwmbyhvelqqyoulretpbfokflhlhreeflxeftelziclrwllrpflflbdtotvlqgoaoqldlroovbfsq",
"output": "YES"
},
{
"input": "rzlvihhghnelqtwlexmvdjjrliqllolhyewgozkuovaiezgcilelqapuoeglnwmnlftxxiigzczlouooi",
"output": "YES"
},
{
"input": "pfhhwctyqdlkrwhebfqfelhyebwllhemtrmeblgrynmvyhioesqklclocxmlffuormljszllpoo",
"output": "YES"
},
{
"input": "lqllcolohwflhfhlnaow",
"output": "NO"
},
{
"input": "heheeellollvoo",
"output": "YES"
},
{
"input": "hellooo",
"output": "YES"
},
{
"input": "o",
"output": "NO"
},
{
"input": "hhqhzeclohlehljlhtesllylrolmomvuhcxsobtsckogdv",
"output": "YES"
},
{
"input": "yoegfuzhqsihygnhpnukluutocvvwuldiighpogsifealtgkfzqbwtmgghmythcxflebrkctlldlkzlagovwlstsghbouk",
"output": "YES"
},
{
"input": "uatqtgbvrnywfacwursctpagasnhydvmlinrcnqrry",
"output": "NO"
},
{
"input": "tndtbldbllnrwmbyhvqaqqyoudrstpbfokfoclnraefuxtftmgzicorwisrpfnfpbdtatvwqgyalqtdtrjqvbfsq",
"output": "NO"
},
{
"input": "rzlvirhgemelnzdawzpaoqtxmqucnahvqnwldklrmjiiyageraijfivigvozgwngiulttxxgzczptusoi",
"output": "YES"
},
{
"input": "kgyelmchocojsnaqdsyeqgnllytbqietpdlgknwwumqkxrexgdcnwoldicwzwofpmuesjuxzrasscvyuqwspm",
"output": "YES"
},
{
"input": "pnyvrcotjvgynbeldnxieghfltmexttuxzyac",
"output": "NO"
},
{
"input": "dtwhbqoumejligbenxvzhjlhosqojetcqsynlzyhfaevbdpekgbtjrbhlltbceobcok",
"output": "YES"
},
{
"input": "crrfpfftjwhhikwzeedrlwzblckkteseofjuxjrktcjfsylmlsvogvrcxbxtffujqshslemnixoeezivksouefeqlhhokwbqjz",
"output": "YES"
},
{
"input": "jhfbndhyzdvhbvhmhmefqllujdflwdpjbehedlsqfdsqlyelwjtyloxwsvasrbqosblzbowlqjmyeilcvotdlaouxhdpoeloaovb",
"output": "YES"
},
{
"input": "hwlghueoemiqtjhhpashjsouyegdlvoyzeunlroypoprnhlyiwiuxrghekaylndhrhllllwhbebezoglydcvykllotrlaqtvmlla",
"output": "YES"
},
{
"input": "wshiaunnqnqxodholbipwhhjmyeblhgpeleblklpzwhdunmpqkbuzloetmwwxmeltkrcomulxauzlwmlklldjodozxryghsnwgcz",
"output": "YES"
},
{
"input": "shvksednttggehroewuiptvvxtrzgidravtnjwuqrlnnkxbplctzkckinpkgjopjfoxdbojtcvsuvablcbkrzajrlhgobkcxeqti",
"output": "YES"
},
{
"input": "hyyhddqhxhekehkwfhlnlsihzefwchzerevcjtokefplholrbvxlltdlafjxrfhleglrvlolojoqaolagtbeyogxlbgfolllslli",
"output": "YES"
},
{
"input": "iaagrdhhelxpdegueiulflquvlzidoprzkehthkldaytrjwhyhprwjxlltinxvuilxohqgjqcvkkdcuoliekcnlilwgqlnlzouoo",
"output": "YES"
},
{
"input": "wfluaeseldgxyvxpwuhkptdmlflnlhktwxiabsvkolsquymrmhzczzoybvlilhmvsuunggvgxzgyyffk",
"output": "NO"
},
{
"input": "loee",
"output": "NO"
},
{
"input": "izdipwylefqmjbuoznfglgcfvedeouflkeehxbasaqmiooppfsqlhprospqgxvzrcpwlfdddngoqvpwvggsnvvxhmjoslwjudjlo",
"output": "NO"
},
{
"input": "pplynflbjlseflaegzqpdxswgunhnlglqhycrbcwdfhclmcrwekkzsoosmfblljeenwfjyifcvxihhhbyhmhlkvtskeglaovjnsi",
"output": "YES"
},
{
"input": "xqjqmenkodmlhzyzmmvofdngktygbbxbzpluzcohohmalkoeuwfikblltaaigv",
"output": "NO"
},
{
"input": "hello",
"output": "YES"
},
{
"input": "oohell",
"output": "NO"
},
{
"input": "hell",
"output": "NO"
},
{
"input": "eloellohoelo",
"output": "NO"
},
{
"input": "helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllo",
"output": "YES"
}
] | 1,515,181,968
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 40
| 62
| 5,529,600
|
s=input()
length=len(s)
q='hello'
k=0
for i in range(0,length):
if s[i]==q[k]:
k += 1
# print(k)
# print(s[i])
if(k==5):
break
if k==5:
print('YES')
else:
print('NO')
|
Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none
|
```python
s=input()
length=len(s)
q='hello'
k=0
for i in range(0,length):
if s[i]==q[k]:
k += 1
# print(k)
# print(s[i])
if(k==5):
break
if k==5:
print('YES')
else:
print('NO')
```
| 3.9587
|
343
|
B
|
Alternating Current
|
PROGRAMMING
| 1,600
|
[
"data structures",
"greedy",
"implementation"
] | null | null |
Mad scientist Mike has just finished constructing a new device to search for extraterrestrial intelligence! He was in such a hurry to launch it for the first time that he plugged in the power wires without giving it a proper glance and started experimenting right away. After a while Mike observed that the wires ended up entangled and now have to be untangled again.
The device is powered by two wires "plus" and "minus". The wires run along the floor from the wall (on the left) to the device (on the right). Both the wall and the device have two contacts in them on the same level, into which the wires are plugged in some order. The wires are considered entangled if there are one or more places where one wire runs above the other one. For example, the picture below has four such places (top view):
Mike knows the sequence in which the wires run above each other. Mike also noticed that on the left side, the "plus" wire is always plugged into the top contact (as seen on the picture). He would like to untangle the wires without unplugging them and without moving the device. Determine if it is possible to do that. A wire can be freely moved and stretched on the floor, but cannot be cut.
To understand the problem better please read the notes to the test samples.
|
The single line of the input contains a sequence of characters "+" and "-" of length *n* (1<=≤<=*n*<=≤<=100000). The *i*-th (1<=≤<=*i*<=≤<=*n*) position of the sequence contains the character "+", if on the *i*-th step from the wall the "plus" wire runs above the "minus" wire, and the character "-" otherwise.
|
Print either "Yes" (without the quotes) if the wires can be untangled or "No" (without the quotes) if the wires cannot be untangled.
|
[
"-++-\n",
"+-\n",
"++\n",
"-\n"
] |
[
"Yes\n",
"No\n",
"Yes\n",
"No\n"
] |
The first testcase corresponds to the picture in the statement. To untangle the wires, one can first move the "plus" wire lower, thus eliminating the two crosses in the middle, and then draw it under the "minus" wire, eliminating also the remaining two crosses.
In the second testcase the "plus" wire makes one full revolution around the "minus" wire. Thus the wires cannot be untangled:
In the third testcase the "plus" wire simply runs above the "minus" wire twice in sequence. The wires can be untangled by lifting "plus" and moving it higher:
In the fourth testcase the "minus" wire runs above the "plus" wire once. The wires cannot be untangled without moving the device itself:
| 1,000
|
[
{
"input": "-++-",
"output": "Yes"
},
{
"input": "+-",
"output": "No"
},
{
"input": "++",
"output": "Yes"
},
{
"input": "-",
"output": "No"
},
{
"input": "+-+-",
"output": "No"
},
{
"input": "-+-",
"output": "No"
},
{
"input": "-++-+--+",
"output": "Yes"
},
{
"input": "+",
"output": "No"
},
{
"input": "-+",
"output": "No"
},
{
"input": "--",
"output": "Yes"
},
{
"input": "+++",
"output": "No"
},
{
"input": "--+",
"output": "No"
},
{
"input": "++--++",
"output": "Yes"
},
{
"input": "+-++-+",
"output": "Yes"
},
{
"input": "+-+--+",
"output": "No"
},
{
"input": "--++-+",
"output": "No"
},
{
"input": "-+-+--",
"output": "No"
},
{
"input": "+-+++-",
"output": "No"
},
{
"input": "-+-+-+",
"output": "No"
},
{
"input": "-++-+--++--+-++-",
"output": "Yes"
},
{
"input": "+-----+-++---+------+++-++++",
"output": "No"
},
{
"input": "-+-++--+++-++++---+--+----+--+-+-+++-+++-+---++-++++-+--+--+--+-+-++-+-+-++++++---++--+++++-+--++--+-+--++-----+--+-++---+++---++----+++-++++--++-++-",
"output": "No"
},
{
"input": "-+-----++++--++-+-++",
"output": "Yes"
},
{
"input": "+--+--+------+++++++-+-+++--++---+--+-+---+--+++-+++-------+++++-+-++++--+-+-+++++++----+----+++----+-+++-+++-----+++-+-++-+-+++++-+--++----+--+-++-----+-+-++++---+++---+-+-+-++++--+--+++---+++++-+---+-----+++-++--+++---++-++-+-+++-+-+-+---+++--+--++++-+-+--++-------+--+---++-----+++--+-+++--++-+-+++-++--+++-++++++++++-++-++++++-+++--+--++-+++--+++-++++----+++---+-+----++++-+-+",
"output": "Yes"
},
{
"input": "-+-+-++-+-+-",
"output": "Yes"
},
{
"input": "-+-++-+-",
"output": "Yes"
},
{
"input": "-+-++-+-+-",
"output": "No"
},
{
"input": "++-+-+-+-+--+",
"output": "No"
},
{
"input": "+++---",
"output": "No"
},
{
"input": "+-+-+-+-+--+-+-+-+-++--++--+",
"output": "Yes"
},
{
"input": "+-+-++",
"output": "No"
},
{
"input": "-++--+--+++-+-+-+-+-",
"output": "No"
},
{
"input": "+---+-+-",
"output": "No"
},
{
"input": "+-+--+-+",
"output": "Yes"
},
{
"input": "+++---+++---",
"output": "No"
},
{
"input": "-+++++",
"output": "No"
},
{
"input": "-+-+-+-+-+-+-++-+-+-+-+-+-+-",
"output": "Yes"
},
{
"input": "-+++--",
"output": "No"
},
{
"input": "+---+",
"output": "No"
},
{
"input": "-++",
"output": "No"
},
{
"input": "-+--+-",
"output": "Yes"
},
{
"input": "+---++--++",
"output": "No"
},
{
"input": "+++-",
"output": "No"
},
{
"input": "--+++",
"output": "No"
},
{
"input": "++-+",
"output": "No"
}
] | 1,542,048,276
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 62
| 374
| 1,945,600
|
import sys
from math import *
from random import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return map(int, minp().split())
s = input()
t = []
for i in s:
if len(t) == 0:
t.append(i)
elif t[-1] != i:
t.append(i)
else:
t.pop()
if len(t):
print('No')
else:
print('Yes')
|
Title: Alternating Current
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mad scientist Mike has just finished constructing a new device to search for extraterrestrial intelligence! He was in such a hurry to launch it for the first time that he plugged in the power wires without giving it a proper glance and started experimenting right away. After a while Mike observed that the wires ended up entangled and now have to be untangled again.
The device is powered by two wires "plus" and "minus". The wires run along the floor from the wall (on the left) to the device (on the right). Both the wall and the device have two contacts in them on the same level, into which the wires are plugged in some order. The wires are considered entangled if there are one or more places where one wire runs above the other one. For example, the picture below has four such places (top view):
Mike knows the sequence in which the wires run above each other. Mike also noticed that on the left side, the "plus" wire is always plugged into the top contact (as seen on the picture). He would like to untangle the wires without unplugging them and without moving the device. Determine if it is possible to do that. A wire can be freely moved and stretched on the floor, but cannot be cut.
To understand the problem better please read the notes to the test samples.
Input Specification:
The single line of the input contains a sequence of characters "+" and "-" of length *n* (1<=≤<=*n*<=≤<=100000). The *i*-th (1<=≤<=*i*<=≤<=*n*) position of the sequence contains the character "+", if on the *i*-th step from the wall the "plus" wire runs above the "minus" wire, and the character "-" otherwise.
Output Specification:
Print either "Yes" (without the quotes) if the wires can be untangled or "No" (without the quotes) if the wires cannot be untangled.
Demo Input:
['-++-\n', '+-\n', '++\n', '-\n']
Demo Output:
['Yes\n', 'No\n', 'Yes\n', 'No\n']
Note:
The first testcase corresponds to the picture in the statement. To untangle the wires, one can first move the "plus" wire lower, thus eliminating the two crosses in the middle, and then draw it under the "minus" wire, eliminating also the remaining two crosses.
In the second testcase the "plus" wire makes one full revolution around the "minus" wire. Thus the wires cannot be untangled:
In the third testcase the "plus" wire simply runs above the "minus" wire twice in sequence. The wires can be untangled by lifting "plus" and moving it higher:
In the fourth testcase the "minus" wire runs above the "plus" wire once. The wires cannot be untangled without moving the device itself:
|
```python
import sys
from math import *
from random import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return map(int, minp().split())
s = input()
t = []
for i in s:
if len(t) == 0:
t.append(i)
elif t[-1] != i:
t.append(i)
else:
t.pop()
if len(t):
print('No')
else:
print('Yes')
```
| 3
|
|
1,004
|
B
|
Sonya and Exhibition
|
PROGRAMMING
| 1,300
|
[
"constructive algorithms",
"greedy",
"implementation",
"math"
] | null | null |
Sonya decided to organize an exhibition of flowers. Since the girl likes only roses and lilies, she decided that only these two kinds of flowers should be in this exhibition.
There are $n$ flowers in a row in the exhibition. Sonya can put either a rose or a lily in the $i$-th position. Thus each of $n$ positions should contain exactly one flower: a rose or a lily.
She knows that exactly $m$ people will visit this exhibition. The $i$-th visitor will visit all flowers from $l_i$ to $r_i$ inclusive. The girl knows that each segment has its own beauty that is equal to the product of the number of roses and the number of lilies.
Sonya wants her exhibition to be liked by a lot of people. That is why she wants to put the flowers in such way that the sum of beauties of all segments would be maximum possible.
|
The first line contains two integers $n$ and $m$ ($1\leq n, m\leq 10^3$) — the number of flowers and visitors respectively.
Each of the next $m$ lines contains two integers $l_i$ and $r_i$ ($1\leq l_i\leq r_i\leq n$), meaning that $i$-th visitor will visit all flowers from $l_i$ to $r_i$ inclusive.
|
Print the string of $n$ characters. The $i$-th symbol should be «0» if you want to put a rose in the $i$-th position, otherwise «1» if you want to put a lily.
If there are multiple answers, print any.
|
[
"5 3\n1 3\n2 4\n2 5\n",
"6 3\n5 6\n1 4\n4 6\n"
] |
[
"01100",
"110010"
] |
In the first example, Sonya can put roses in the first, fourth, and fifth positions, and lilies in the second and third positions;
- in the segment $[1\ldots3]$, there are one rose and two lilies, so the beauty is equal to $1\cdot 2=2$; - in the segment $[2\ldots4]$, there are one rose and two lilies, so the beauty is equal to $1\cdot 2=2$; - in the segment $[2\ldots5]$, there are two roses and two lilies, so the beauty is equal to $2\cdot 2=4$.
The total beauty is equal to $2+2+4=8$.
In the second example, Sonya can put roses in the third, fourth, and sixth positions, and lilies in the first, second, and fifth positions;
- in the segment $[5\ldots6]$, there are one rose and one lily, so the beauty is equal to $1\cdot 1=1$; - in the segment $[1\ldots4]$, there are two roses and two lilies, so the beauty is equal to $2\cdot 2=4$; - in the segment $[4\ldots6]$, there are two roses and one lily, so the beauty is equal to $2\cdot 1=2$.
The total beauty is equal to $1+4+2=7$.
| 1,000
|
[
{
"input": "5 3\n1 3\n2 4\n2 5",
"output": "01010"
},
{
"input": "6 3\n5 6\n1 4\n4 6",
"output": "010101"
},
{
"input": "10 4\n3 3\n1 6\n9 9\n10 10",
"output": "0101010101"
},
{
"input": "1 1\n1 1",
"output": "0"
},
{
"input": "1000 10\n3 998\n2 1000\n1 999\n2 1000\n3 998\n2 1000\n3 998\n1 1000\n2 1000\n3 999",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "1000 20\n50 109\n317 370\n710 770\n440 488\n711 757\n236 278\n314 355\n131 190\n115 162\n784 834\n16 56\n677 730\n802 844\n632 689\n23 74\n647 702\n930 986\n926 983\n769 822\n508 558",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "1000 10\n138 238\n160 260\n716 816\n504 604\n98 198\n26 126\n114 214\n217 317\n121 221\n489 589",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "1000 5\n167 296\n613 753\n650 769\n298 439\n71 209",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "1000 5\n349 415\n714 773\n125 179\n1 80\n148 242",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "914 10\n587 646\n770 843\n825 875\n439 485\n465 521\n330 387\n405 480\n477 521\n336 376\n715 771",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "571 10\n13 94\n450 510\n230 293\n302 375\n304 354\n421 504\n24 87\n122 181\n221 296\n257 307",
"output": "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010..."
},
{
"input": "6 2\n1 6\n1 4",
"output": "010101"
},
{
"input": "2 1\n1 2",
"output": "01"
}
] | 1,530,809,339
| 839
|
Python 3
|
OK
|
TESTS
| 27
| 124
| 0
|
inp = [int(i)for i in input().split()]
n, m = inp
for i in range(m):
a = input()
print(('01'*(n//2+1))[:n])
|
Title: Sonya and Exhibition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sonya decided to organize an exhibition of flowers. Since the girl likes only roses and lilies, she decided that only these two kinds of flowers should be in this exhibition.
There are $n$ flowers in a row in the exhibition. Sonya can put either a rose or a lily in the $i$-th position. Thus each of $n$ positions should contain exactly one flower: a rose or a lily.
She knows that exactly $m$ people will visit this exhibition. The $i$-th visitor will visit all flowers from $l_i$ to $r_i$ inclusive. The girl knows that each segment has its own beauty that is equal to the product of the number of roses and the number of lilies.
Sonya wants her exhibition to be liked by a lot of people. That is why she wants to put the flowers in such way that the sum of beauties of all segments would be maximum possible.
Input Specification:
The first line contains two integers $n$ and $m$ ($1\leq n, m\leq 10^3$) — the number of flowers and visitors respectively.
Each of the next $m$ lines contains two integers $l_i$ and $r_i$ ($1\leq l_i\leq r_i\leq n$), meaning that $i$-th visitor will visit all flowers from $l_i$ to $r_i$ inclusive.
Output Specification:
Print the string of $n$ characters. The $i$-th symbol should be «0» if you want to put a rose in the $i$-th position, otherwise «1» if you want to put a lily.
If there are multiple answers, print any.
Demo Input:
['5 3\n1 3\n2 4\n2 5\n', '6 3\n5 6\n1 4\n4 6\n']
Demo Output:
['01100', '110010']
Note:
In the first example, Sonya can put roses in the first, fourth, and fifth positions, and lilies in the second and third positions;
- in the segment $[1\ldots3]$, there are one rose and two lilies, so the beauty is equal to $1\cdot 2=2$; - in the segment $[2\ldots4]$, there are one rose and two lilies, so the beauty is equal to $1\cdot 2=2$; - in the segment $[2\ldots5]$, there are two roses and two lilies, so the beauty is equal to $2\cdot 2=4$.
The total beauty is equal to $2+2+4=8$.
In the second example, Sonya can put roses in the third, fourth, and sixth positions, and lilies in the first, second, and fifth positions;
- in the segment $[5\ldots6]$, there are one rose and one lily, so the beauty is equal to $1\cdot 1=1$; - in the segment $[1\ldots4]$, there are two roses and two lilies, so the beauty is equal to $2\cdot 2=4$; - in the segment $[4\ldots6]$, there are two roses and one lily, so the beauty is equal to $2\cdot 1=2$.
The total beauty is equal to $1+4+2=7$.
|
```python
inp = [int(i)for i in input().split()]
n, m = inp
for i in range(m):
a = input()
print(('01'*(n//2+1))[:n])
```
| 3
|
|
466
|
C
|
Number of Ways
|
PROGRAMMING
| 1,700
|
[
"binary search",
"brute force",
"data structures",
"dp",
"two pointers"
] | null | null |
You've got array *a*[1],<=*a*[2],<=...,<=*a*[*n*], consisting of *n* integers. Count the number of ways to split all the elements of the array into three contiguous parts so that the sum of elements in each part is the same.
More formally, you need to find the number of such pairs of indices *i*,<=*j* (2<=≤<=*i*<=≤<=*j*<=≤<=*n*<=-<=1), that .
|
The first line contains integer *n* (1<=≤<=*n*<=≤<=5·105), showing how many numbers are in the array. The second line contains *n* integers *a*[1], *a*[2], ..., *a*[*n*] (|*a*[*i*]|<=≤<=<=109) — the elements of array *a*.
|
Print a single integer — the number of ways to split the array into three parts with the same sum.
|
[
"5\n1 2 3 0 3\n",
"4\n0 1 -1 0\n",
"2\n4 1\n"
] |
[
"2\n",
"1\n",
"0\n"
] |
none
| 1,500
|
[
{
"input": "5\n1 2 3 0 3",
"output": "2"
},
{
"input": "4\n0 1 -1 0",
"output": "1"
},
{
"input": "2\n4 1",
"output": "0"
},
{
"input": "9\n0 0 0 0 0 0 0 0 0",
"output": "28"
},
{
"input": "10\n2 5 -2 2 -3 -2 3 5 -5 -2",
"output": "0"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "3\n1 2 3",
"output": "0"
},
{
"input": "100\n1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1",
"output": "2030"
},
{
"input": "6\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000",
"output": "1"
},
{
"input": "10\n1 0 0 0 1 1 1 0 1 1",
"output": "2"
},
{
"input": "10\n-2 2 -2 0 -2 -1 1 -1 2 0",
"output": "0"
},
{
"input": "4\n0 2 -1 2",
"output": "0"
},
{
"input": "5\n3 3 -3 3 3",
"output": "3"
},
{
"input": "5\n1 1 1 1 1",
"output": "0"
},
{
"input": "8\n-1 -1 -1 -1 -1 -1 -1 -1",
"output": "0"
},
{
"input": "2\n0 0",
"output": "0"
},
{
"input": "4\n1 -1 0 0",
"output": "1"
},
{
"input": "3\n6 -3 6",
"output": "0"
}
] | 1,694,940,377
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 30
| 390
| 62,361,600
|
n,a=int(input()),list(map(int,input().split()))
k,p=sum(a),0
if k%3==0:
k,c,s=k//3,0,0
for r in a[:-1]:
s+=r
p+=c*(s==2*k)
c+=s==k
print(p)
|
Title: Number of Ways
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You've got array *a*[1],<=*a*[2],<=...,<=*a*[*n*], consisting of *n* integers. Count the number of ways to split all the elements of the array into three contiguous parts so that the sum of elements in each part is the same.
More formally, you need to find the number of such pairs of indices *i*,<=*j* (2<=≤<=*i*<=≤<=*j*<=≤<=*n*<=-<=1), that .
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=5·105), showing how many numbers are in the array. The second line contains *n* integers *a*[1], *a*[2], ..., *a*[*n*] (|*a*[*i*]|<=≤<=<=109) — the elements of array *a*.
Output Specification:
Print a single integer — the number of ways to split the array into three parts with the same sum.
Demo Input:
['5\n1 2 3 0 3\n', '4\n0 1 -1 0\n', '2\n4 1\n']
Demo Output:
['2\n', '1\n', '0\n']
Note:
none
|
```python
n,a=int(input()),list(map(int,input().split()))
k,p=sum(a),0
if k%3==0:
k,c,s=k//3,0,0
for r in a[:-1]:
s+=r
p+=c*(s==2*k)
c+=s==k
print(p)
```
| 3
|
|
832
|
A
|
Sasha and Sticks
|
PROGRAMMING
| 800
|
[
"games",
"math"
] | null | null |
It's one more school day now. Sasha doesn't like classes and is always bored at them. So, each day he invents some game and plays in it alone or with friends.
Today he invented one simple game to play with Lena, with whom he shares a desk. The rules are simple. Sasha draws *n* sticks in a row. After that the players take turns crossing out exactly *k* sticks from left or right in each turn. Sasha moves first, because he is the inventor of the game. If there are less than *k* sticks on the paper before some turn, the game ends. Sasha wins if he makes strictly more moves than Lena. Sasha wants to know the result of the game before playing, you are to help him.
|
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1018, *k*<=≤<=*n*) — the number of sticks drawn by Sasha and the number *k* — the number of sticks to be crossed out on each turn.
|
If Sasha wins, print "YES" (without quotes), otherwise print "NO" (without quotes).
You can print each letter in arbitrary case (upper of lower).
|
[
"1 1\n",
"10 4\n"
] |
[
"YES\n",
"NO\n"
] |
In the first example Sasha crosses out 1 stick, and then there are no sticks. So Lena can't make a move, and Sasha wins.
In the second example Sasha crosses out 4 sticks, then Lena crosses out 4 sticks, and after that there are only 2 sticks left. Sasha can't make a move. The players make equal number of moves, so Sasha doesn't win.
| 500
|
[
{
"input": "1 1",
"output": "YES"
},
{
"input": "10 4",
"output": "NO"
},
{
"input": "251656215122324104 164397544865601257",
"output": "YES"
},
{
"input": "963577813436662285 206326039287271924",
"output": "NO"
},
{
"input": "1000000000000000000 1",
"output": "NO"
},
{
"input": "253308697183523656 25332878317796706",
"output": "YES"
},
{
"input": "669038685745448997 501718093668307460",
"output": "YES"
},
{
"input": "116453141993601660 87060381463547965",
"output": "YES"
},
{
"input": "766959657 370931668",
"output": "NO"
},
{
"input": "255787422422806632 146884995820359999",
"output": "YES"
},
{
"input": "502007866464507926 71266379084204128",
"output": "YES"
},
{
"input": "257439908778973480 64157133126869976",
"output": "NO"
},
{
"input": "232709385 91708542",
"output": "NO"
},
{
"input": "252482458300407528 89907711721009125",
"output": "NO"
},
{
"input": "6 2",
"output": "YES"
},
{
"input": "6 3",
"output": "NO"
},
{
"input": "6 4",
"output": "YES"
},
{
"input": "6 5",
"output": "YES"
},
{
"input": "6 6",
"output": "YES"
},
{
"input": "258266151957056904 30153168463725364",
"output": "NO"
},
{
"input": "83504367885565783 52285355047292458",
"output": "YES"
},
{
"input": "545668929424440387 508692735816921376",
"output": "YES"
},
{
"input": "547321411485639939 36665750286082900",
"output": "NO"
},
{
"input": "548973893546839491 183137237979822911",
"output": "NO"
},
{
"input": "544068082 193116851",
"output": "NO"
},
{
"input": "871412474 749817171",
"output": "YES"
},
{
"input": "999999999 1247",
"output": "NO"
},
{
"input": "851941088 712987048",
"output": "YES"
},
{
"input": "559922900 418944886",
"output": "YES"
},
{
"input": "293908937 37520518",
"output": "YES"
},
{
"input": "650075786 130049650",
"output": "NO"
},
{
"input": "1000000000 1000000000",
"output": "YES"
},
{
"input": "548147654663723363 107422751713800746",
"output": "YES"
},
{
"input": "828159210 131819483",
"output": "NO"
},
{
"input": "6242634 4110365",
"output": "YES"
},
{
"input": "458601973 245084155",
"output": "YES"
},
{
"input": "349593257 18089089",
"output": "YES"
},
{
"input": "814768821 312514745",
"output": "NO"
},
{
"input": "697884949 626323363",
"output": "YES"
},
{
"input": "667011589 54866795",
"output": "NO"
},
{
"input": "1000000000000000000 2",
"output": "NO"
},
{
"input": "1000000000000000000 3",
"output": "YES"
},
{
"input": "1000000000000000000 4",
"output": "NO"
},
{
"input": "999999999999999 1",
"output": "YES"
},
{
"input": "17 4",
"output": "NO"
},
{
"input": "2 2",
"output": "YES"
},
{
"input": "1000000000000000 2",
"output": "NO"
},
{
"input": "12 4",
"output": "YES"
},
{
"input": "6 1",
"output": "NO"
},
{
"input": "2 1",
"output": "NO"
},
{
"input": "10000000005 1",
"output": "YES"
},
{
"input": "10000000000000009 2",
"output": "NO"
},
{
"input": "12457895452123 1",
"output": "YES"
},
{
"input": "999999999999999999 9",
"output": "YES"
},
{
"input": "1000000000000 3",
"output": "YES"
},
{
"input": "13099714659575475 6549849616514894",
"output": "NO"
},
{
"input": "100000000000000001 1",
"output": "YES"
},
{
"input": "825175814723458 324",
"output": "YES"
},
{
"input": "20 4",
"output": "YES"
},
{
"input": "100000176877 4",
"output": "YES"
},
{
"input": "100000 3",
"output": "YES"
},
{
"input": "946744073709551614 10",
"output": "YES"
}
] | 1,666,616,680
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 62
| 46
| 0
|
def bored(k,n):
h=n//k
if h%2==0:
return "NO"
return "YES"
n,k=map(int,input().split())
print(bored(k,n))
|
Title: Sasha and Sticks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It's one more school day now. Sasha doesn't like classes and is always bored at them. So, each day he invents some game and plays in it alone or with friends.
Today he invented one simple game to play with Lena, with whom he shares a desk. The rules are simple. Sasha draws *n* sticks in a row. After that the players take turns crossing out exactly *k* sticks from left or right in each turn. Sasha moves first, because he is the inventor of the game. If there are less than *k* sticks on the paper before some turn, the game ends. Sasha wins if he makes strictly more moves than Lena. Sasha wants to know the result of the game before playing, you are to help him.
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1018, *k*<=≤<=*n*) — the number of sticks drawn by Sasha and the number *k* — the number of sticks to be crossed out on each turn.
Output Specification:
If Sasha wins, print "YES" (without quotes), otherwise print "NO" (without quotes).
You can print each letter in arbitrary case (upper of lower).
Demo Input:
['1 1\n', '10 4\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first example Sasha crosses out 1 stick, and then there are no sticks. So Lena can't make a move, and Sasha wins.
In the second example Sasha crosses out 4 sticks, then Lena crosses out 4 sticks, and after that there are only 2 sticks left. Sasha can't make a move. The players make equal number of moves, so Sasha doesn't win.
|
```python
def bored(k,n):
h=n//k
if h%2==0:
return "NO"
return "YES"
n,k=map(int,input().split())
print(bored(k,n))
```
| 3
|
|
854
|
B
|
Maxim Buys an Apartment
|
PROGRAMMING
| 1,200
|
[
"constructive algorithms",
"math"
] | null | null |
Maxim wants to buy an apartment in a new house at Line Avenue of Metropolis. The house has *n* apartments that are numbered from 1 to *n* and are arranged in a row. Two apartments are adjacent if their indices differ by 1. Some of the apartments can already be inhabited, others are available for sale.
Maxim often visits his neighbors, so apartment is good for him if it is available for sale and there is at least one already inhabited apartment adjacent to it. Maxim knows that there are exactly *k* already inhabited apartments, but he doesn't know their indices yet.
Find out what could be the minimum possible and the maximum possible number of apartments that are good for Maxim.
|
The only line of the input contains two integers: *n* and *k* (1<=≤<=*n*<=≤<=109, 0<=≤<=*k*<=≤<=*n*).
|
Print the minimum possible and the maximum possible number of apartments good for Maxim.
|
[
"6 3\n"
] |
[
"1 3\n"
] |
In the sample test, the number of good apartments could be minimum possible if, for example, apartments with indices 1, 2 and 3 were inhabited. In this case only apartment 4 is good. The maximum possible number could be, for example, if apartments with indices 1, 3 and 5 were inhabited. In this case all other apartments: 2, 4 and 6 are good.
| 1,000
|
[
{
"input": "6 3",
"output": "1 3"
},
{
"input": "10 1",
"output": "1 2"
},
{
"input": "10 9",
"output": "1 1"
},
{
"input": "8 0",
"output": "0 0"
},
{
"input": "8 8",
"output": "0 0"
},
{
"input": "966871928 890926970",
"output": "1 75944958"
},
{
"input": "20 2",
"output": "1 4"
},
{
"input": "1 0",
"output": "0 0"
},
{
"input": "1 1",
"output": "0 0"
},
{
"input": "2 0",
"output": "0 0"
},
{
"input": "2 1",
"output": "1 1"
},
{
"input": "2 2",
"output": "0 0"
},
{
"input": "7 2",
"output": "1 4"
},
{
"input": "8 3",
"output": "1 5"
},
{
"input": "9 4",
"output": "1 5"
},
{
"input": "10 3",
"output": "1 6"
},
{
"input": "10 4",
"output": "1 6"
},
{
"input": "10 5",
"output": "1 5"
},
{
"input": "1000 1000",
"output": "0 0"
},
{
"input": "1000 333",
"output": "1 666"
},
{
"input": "1000 334",
"output": "1 666"
},
{
"input": "999 333",
"output": "1 666"
},
{
"input": "999 334",
"output": "1 665"
},
{
"input": "998 332",
"output": "1 664"
},
{
"input": "998 333",
"output": "1 665"
},
{
"input": "89 4",
"output": "1 8"
},
{
"input": "66 50",
"output": "1 16"
},
{
"input": "88 15",
"output": "1 30"
},
{
"input": "95 43",
"output": "1 52"
},
{
"input": "900 344",
"output": "1 556"
},
{
"input": "777 113",
"output": "1 226"
},
{
"input": "964 42",
"output": "1 84"
},
{
"input": "982 867",
"output": "1 115"
},
{
"input": "1000000000 0",
"output": "0 0"
},
{
"input": "1000000000 1000000000",
"output": "0 0"
},
{
"input": "1000000000 333333333",
"output": "1 666666666"
},
{
"input": "1000000000 333333334",
"output": "1 666666666"
},
{
"input": "999999999 333333333",
"output": "1 666666666"
},
{
"input": "999999999 333333334",
"output": "1 666666665"
},
{
"input": "999999998 333333332",
"output": "1 666666664"
},
{
"input": "999999998 333333333",
"output": "1 666666665"
},
{
"input": "78602604 42160832",
"output": "1 36441772"
},
{
"input": "35679021 9137902",
"output": "1 18275804"
},
{
"input": "41949373 13173511",
"output": "1 26347022"
},
{
"input": "77855558 49163875",
"output": "1 28691683"
},
{
"input": "87187123 2851901",
"output": "1 5703802"
},
{
"input": "66849627 25004217",
"output": "1 41845410"
},
{
"input": "873046672 517064947",
"output": "1 355981725"
},
{
"input": "639857373 1393427",
"output": "1 2786854"
},
{
"input": "637563683 69636269",
"output": "1 139272538"
},
{
"input": "911669737 141068293",
"output": "1 282136586"
},
{
"input": "547575919 313272818",
"output": "1 234303101"
},
{
"input": "955020006 297895809",
"output": "1 595791618"
},
{
"input": "10 4",
"output": "1 6"
},
{
"input": "11 3",
"output": "1 6"
},
{
"input": "10 3",
"output": "1 6"
},
{
"input": "4 1",
"output": "1 2"
},
{
"input": "9 3",
"output": "1 6"
},
{
"input": "7 2",
"output": "1 4"
},
{
"input": "7 3",
"output": "1 4"
},
{
"input": "12 5",
"output": "1 7"
},
{
"input": "8 3",
"output": "1 5"
},
{
"input": "1000 8",
"output": "1 16"
}
] | 1,505,108,491
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 63
| 62
| 0
|
n, a=map(int, input().split())
if(n==a or a==0):
print(0,0)
exit()
mx=min(n-a,a*2)
print(1,mx)
|
Title: Maxim Buys an Apartment
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Maxim wants to buy an apartment in a new house at Line Avenue of Metropolis. The house has *n* apartments that are numbered from 1 to *n* and are arranged in a row. Two apartments are adjacent if their indices differ by 1. Some of the apartments can already be inhabited, others are available for sale.
Maxim often visits his neighbors, so apartment is good for him if it is available for sale and there is at least one already inhabited apartment adjacent to it. Maxim knows that there are exactly *k* already inhabited apartments, but he doesn't know their indices yet.
Find out what could be the minimum possible and the maximum possible number of apartments that are good for Maxim.
Input Specification:
The only line of the input contains two integers: *n* and *k* (1<=≤<=*n*<=≤<=109, 0<=≤<=*k*<=≤<=*n*).
Output Specification:
Print the minimum possible and the maximum possible number of apartments good for Maxim.
Demo Input:
['6 3\n']
Demo Output:
['1 3\n']
Note:
In the sample test, the number of good apartments could be minimum possible if, for example, apartments with indices 1, 2 and 3 were inhabited. In this case only apartment 4 is good. The maximum possible number could be, for example, if apartments with indices 1, 3 and 5 were inhabited. In this case all other apartments: 2, 4 and 6 are good.
|
```python
n, a=map(int, input().split())
if(n==a or a==0):
print(0,0)
exit()
mx=min(n-a,a*2)
print(1,mx)
```
| 3
|
|
592
|
B
|
The Monster and the Squirrel
|
PROGRAMMING
| 1,100
|
[
"math"
] | null | null |
Ari the monster always wakes up very early with the first ray of the sun and the first thing she does is feeding her squirrel.
Ari draws a regular convex polygon on the floor and numbers it's vertices 1,<=2,<=...,<=*n* in clockwise order. Then starting from the vertex 1 she draws a ray in the direction of each other vertex. The ray stops when it reaches a vertex or intersects with another ray drawn before. Ari repeats this process for vertex 2,<=3,<=...,<=*n* (in this particular order). And then she puts a walnut in each region inside the polygon.
Ada the squirrel wants to collect all the walnuts, but she is not allowed to step on the lines drawn by Ari. That means Ada have to perform a small jump if she wants to go from one region to another. Ada can jump from one region P to another region Q if and only if P and Q share a side or a corner.
Assuming that Ada starts from outside of the picture, what is the minimum number of jumps she has to perform in order to collect all the walnuts?
|
The first and only line of the input contains a single integer *n* (3<=≤<=*n*<=≤<=54321) - the number of vertices of the regular polygon drawn by Ari.
|
Print the minimum number of jumps Ada should make to collect all the walnuts. Note, that she doesn't need to leave the polygon after.
|
[
"5\n",
"3\n"
] |
[
"9\n",
"1\n"
] |
One of the possible solutions for the first sample is shown on the picture above.
| 1,000
|
[
{
"input": "5",
"output": "9"
},
{
"input": "3",
"output": "1"
},
{
"input": "54321",
"output": "2950553761"
},
{
"input": "4",
"output": "4"
},
{
"input": "6",
"output": "16"
},
{
"input": "7",
"output": "25"
},
{
"input": "8",
"output": "36"
},
{
"input": "9",
"output": "49"
},
{
"input": "10",
"output": "64"
},
{
"input": "54320",
"output": "2950445124"
},
{
"input": "54319",
"output": "2950336489"
},
{
"input": "54318",
"output": "2950227856"
},
{
"input": "54317",
"output": "2950119225"
},
{
"input": "54316",
"output": "2950010596"
},
{
"input": "54315",
"output": "2949901969"
},
{
"input": "54314",
"output": "2949793344"
},
{
"input": "8153",
"output": "66438801"
},
{
"input": "51689",
"output": "2671545969"
},
{
"input": "16659",
"output": "277455649"
},
{
"input": "47389",
"output": "2245527769"
},
{
"input": "314",
"output": "97344"
},
{
"input": "23481",
"output": "551263441"
},
{
"input": "20380",
"output": "415262884"
},
{
"input": "1994",
"output": "3968064"
}
] | 1,446,310,303
| 1,303
|
Python 3
|
OK
|
TESTS
| 24
| 46
| 0
|
n = int (input())
region = 3*n-8+(n-3)*(n-4)
print (region)
|
Title: The Monster and the Squirrel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ari the monster always wakes up very early with the first ray of the sun and the first thing she does is feeding her squirrel.
Ari draws a regular convex polygon on the floor and numbers it's vertices 1,<=2,<=...,<=*n* in clockwise order. Then starting from the vertex 1 she draws a ray in the direction of each other vertex. The ray stops when it reaches a vertex or intersects with another ray drawn before. Ari repeats this process for vertex 2,<=3,<=...,<=*n* (in this particular order). And then she puts a walnut in each region inside the polygon.
Ada the squirrel wants to collect all the walnuts, but she is not allowed to step on the lines drawn by Ari. That means Ada have to perform a small jump if she wants to go from one region to another. Ada can jump from one region P to another region Q if and only if P and Q share a side or a corner.
Assuming that Ada starts from outside of the picture, what is the minimum number of jumps she has to perform in order to collect all the walnuts?
Input Specification:
The first and only line of the input contains a single integer *n* (3<=≤<=*n*<=≤<=54321) - the number of vertices of the regular polygon drawn by Ari.
Output Specification:
Print the minimum number of jumps Ada should make to collect all the walnuts. Note, that she doesn't need to leave the polygon after.
Demo Input:
['5\n', '3\n']
Demo Output:
['9\n', '1\n']
Note:
One of the possible solutions for the first sample is shown on the picture above.
|
```python
n = int (input())
region = 3*n-8+(n-3)*(n-4)
print (region)
```
| 3
|
|
289
|
B
|
Polo the Penguin and Matrix
|
PROGRAMMING
| 1,400
|
[
"brute force",
"dp",
"implementation",
"sortings",
"ternary search"
] | null | null |
Little penguin Polo has an *n*<=×<=*m* matrix, consisting of integers. Let's index the matrix rows from 1 to *n* from top to bottom and let's index the columns from 1 to *m* from left to right. Let's represent the matrix element on the intersection of row *i* and column *j* as *a**ij*.
In one move the penguin can add or subtract number *d* from some matrix element. Find the minimum number of moves needed to make all matrix elements equal. If the described plan is impossible to carry out, say so.
|
The first line contains three integers *n*, *m* and *d* (1<=≤<=*n*,<=*m*<=≤<=100,<=1<=≤<=*d*<=≤<=104) — the matrix sizes and the *d* parameter. Next *n* lines contain the matrix: the *j*-th integer in the *i*-th row is the matrix element *a**ij* (1<=≤<=*a**ij*<=≤<=104).
|
In a single line print a single integer — the minimum number of moves the penguin needs to make all matrix elements equal. If that is impossible, print "-1" (without the quotes).
|
[
"2 2 2\n2 4\n6 8\n",
"1 2 7\n6 7\n"
] |
[
"4\n",
"-1\n"
] |
none
| 1,000
|
[
{
"input": "2 2 2\n2 4\n6 8",
"output": "4"
},
{
"input": "1 2 7\n6 7",
"output": "-1"
},
{
"input": "3 2 1\n5 7\n1 2\n5 100",
"output": "104"
},
{
"input": "3 3 3\n5 8 5\n11 11 17\n14 5 2",
"output": "12"
},
{
"input": "3 3 3\n5 8 5\n11 11 17\n14 5 3",
"output": "-1"
},
{
"input": "2 2 4\n5 5\n5 5",
"output": "0"
},
{
"input": "7 4 5\n7 7 7 12\n7 12 12 7\n7 7 7 7\n7 7 12 7\n7 7 12 12\n12 12 7 12\n7 7 7 7",
"output": "9"
},
{
"input": "7 7 47\n91 91 91 91 91 91 91\n91 91 91 91 91 91 91\n91 91 91 91 91 91 91\n91 91 91 91 91 91 91\n91 91 91 91 91 91 91\n91 91 91 91 91 91 91\n91 91 91 91 91 91 91",
"output": "0"
},
{
"input": "7 7 47\n47 47 47 47 47 47 47\n47 47 47 47 77 47 47\n47 47 47 47 47 47 47\n47 47 47 47 47 47 47\n47 47 47 47 47 47 47\n47 47 47 47 47 47 47\n47 47 47 47 47 127 47",
"output": "-1"
},
{
"input": "7 5 47\n9583 1734 4601 5353 2110\n3802 5165 7985 6293 324\n7045 653 9160 7891 4930\n1781 3520 4178 2298 3943\n1405 2956 5447 5494 6528\n3097 1640 7750 4883 8032\n4225 8455 1875 4789 4366",
"output": "1508"
},
{
"input": "1 1 1\n1",
"output": "0"
},
{
"input": "1 1 8\n12",
"output": "0"
}
] | 1,582,984,013
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 31
| 840
| 2,252,800
|
"""
Template written to be used by Python Programmers.
Use at your own risk!!!!
Owned by adi0311(rating - 5 star at CodeChef and Specialist at Codeforces).
"""
import sys
import bisect
import heapq
from math import *
from collections import defaultdict as dd # defaultdict(<datatype>) Free of KeyError.
from collections import deque # deque(list) append(), appendleft(), pop(), popleft() - O(1)
from collections import Counter as c # Counter(list) return a dict with {key: count}
from itertools import combinations as comb
from bisect import bisect_left as bl, bisect_right as br, bisect
# sys.setrecursionlimit(2*pow(10, 6))
# sys.stdin = open("input.txt", "r")
# sys.stdout = open("output.txt", "w")
mod = pow(10, 9) + 7
mod2 = 998244353
def data(): return sys.stdin.readline().strip()
def out(var): sys.stdout.write(var)
def l(): return list(map(int, data().split()))
def sl(): return list(map(str, data().split()))
def sp(): return map(int, data().split())
def ssp(): return map(str, data().split())
def l1d(n, val=0): return [val for i in range(n)]
def l2d(n, m, val=0): return [[val for i in range(n)] for j in range(m)]
n, m, d = sp()
mat = list()
for i in range(n):
arr = l()
for j in range(m):
mat.append(arr[j])
if len(set(mat)) == 1:
out("0")
exit()
mat.sort()
count = set(mat[:])
for k in count:
answer = 0
ele = k
for i in mat:
if i == ele:
continue
if i > ele:
if (i-ele) % d != 0:
out("-1")
exit()
answer += (i-ele) // d
else:
if (ele-i) % d != 0:
out("-1")
exit()
answer += (ele - i) // d
mod = min(mod, answer)
out(str(mod))
exit()
|
Title: Polo the Penguin and Matrix
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little penguin Polo has an *n*<=×<=*m* matrix, consisting of integers. Let's index the matrix rows from 1 to *n* from top to bottom and let's index the columns from 1 to *m* from left to right. Let's represent the matrix element on the intersection of row *i* and column *j* as *a**ij*.
In one move the penguin can add or subtract number *d* from some matrix element. Find the minimum number of moves needed to make all matrix elements equal. If the described plan is impossible to carry out, say so.
Input Specification:
The first line contains three integers *n*, *m* and *d* (1<=≤<=*n*,<=*m*<=≤<=100,<=1<=≤<=*d*<=≤<=104) — the matrix sizes and the *d* parameter. Next *n* lines contain the matrix: the *j*-th integer in the *i*-th row is the matrix element *a**ij* (1<=≤<=*a**ij*<=≤<=104).
Output Specification:
In a single line print a single integer — the minimum number of moves the penguin needs to make all matrix elements equal. If that is impossible, print "-1" (without the quotes).
Demo Input:
['2 2 2\n2 4\n6 8\n', '1 2 7\n6 7\n']
Demo Output:
['4\n', '-1\n']
Note:
none
|
```python
"""
Template written to be used by Python Programmers.
Use at your own risk!!!!
Owned by adi0311(rating - 5 star at CodeChef and Specialist at Codeforces).
"""
import sys
import bisect
import heapq
from math import *
from collections import defaultdict as dd # defaultdict(<datatype>) Free of KeyError.
from collections import deque # deque(list) append(), appendleft(), pop(), popleft() - O(1)
from collections import Counter as c # Counter(list) return a dict with {key: count}
from itertools import combinations as comb
from bisect import bisect_left as bl, bisect_right as br, bisect
# sys.setrecursionlimit(2*pow(10, 6))
# sys.stdin = open("input.txt", "r")
# sys.stdout = open("output.txt", "w")
mod = pow(10, 9) + 7
mod2 = 998244353
def data(): return sys.stdin.readline().strip()
def out(var): sys.stdout.write(var)
def l(): return list(map(int, data().split()))
def sl(): return list(map(str, data().split()))
def sp(): return map(int, data().split())
def ssp(): return map(str, data().split())
def l1d(n, val=0): return [val for i in range(n)]
def l2d(n, m, val=0): return [[val for i in range(n)] for j in range(m)]
n, m, d = sp()
mat = list()
for i in range(n):
arr = l()
for j in range(m):
mat.append(arr[j])
if len(set(mat)) == 1:
out("0")
exit()
mat.sort()
count = set(mat[:])
for k in count:
answer = 0
ele = k
for i in mat:
if i == ele:
continue
if i > ele:
if (i-ele) % d != 0:
out("-1")
exit()
answer += (i-ele) // d
else:
if (ele-i) % d != 0:
out("-1")
exit()
answer += (ele - i) // d
mod = min(mod, answer)
out(str(mod))
exit()
```
| 3
|
|
509
|
A
|
Maximum in Table
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation"
] | null | null |
An *n*<=×<=*n* table *a* is defined as follows:
- The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the remaining elements are defined by the formula *a**i*,<=*j*<==<=*a**i*<=-<=1,<=*j*<=+<=*a**i*,<=*j*<=-<=1.
These conditions define all the values in the table.
You are given a number *n*. You need to determine the maximum value in the *n*<=×<=*n* table defined by the rules above.
|
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
|
Print a single line containing a positive integer *m* — the maximum value in the table.
|
[
"1\n",
"5\n"
] |
[
"1",
"70"
] |
In the second test the rows of the table look as follows:
| 0
|
[
{
"input": "1",
"output": "1"
},
{
"input": "5",
"output": "70"
},
{
"input": "2",
"output": "2"
},
{
"input": "3",
"output": "6"
},
{
"input": "4",
"output": "20"
},
{
"input": "6",
"output": "252"
},
{
"input": "7",
"output": "924"
},
{
"input": "9",
"output": "12870"
},
{
"input": "10",
"output": "48620"
},
{
"input": "8",
"output": "3432"
}
] | 1,599,479,064
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 10
| 139
| 0
|
n=int(input());
if(n==1):
print(1);
else:
ar=[[0 for i in range(n)] for j in range(n)];
mx=-1;
for i in range(n):
for j in range(n):
if(i==0 or j==0):
ar[i][j]=1;
else:
ar[i][j]=ar[i-1][j]+ar[i][j-1];
if(ar[i][j]>mx):
mx=ar[i][j];
print(mx);
|
Title: Maximum in Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
An *n*<=×<=*n* table *a* is defined as follows:
- The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the remaining elements are defined by the formula *a**i*,<=*j*<==<=*a**i*<=-<=1,<=*j*<=+<=*a**i*,<=*j*<=-<=1.
These conditions define all the values in the table.
You are given a number *n*. You need to determine the maximum value in the *n*<=×<=*n* table defined by the rules above.
Input Specification:
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
Output Specification:
Print a single line containing a positive integer *m* — the maximum value in the table.
Demo Input:
['1\n', '5\n']
Demo Output:
['1', '70']
Note:
In the second test the rows of the table look as follows:
|
```python
n=int(input());
if(n==1):
print(1);
else:
ar=[[0 for i in range(n)] for j in range(n)];
mx=-1;
for i in range(n):
for j in range(n):
if(i==0 or j==0):
ar[i][j]=1;
else:
ar[i][j]=ar[i-1][j]+ar[i][j-1];
if(ar[i][j]>mx):
mx=ar[i][j];
print(mx);
```
| 3
|
|
607
|
A
|
Chain Reaction
|
PROGRAMMING
| 1,600
|
[
"binary search",
"dp"
] | null | null |
There are *n* beacons located at distinct positions on a number line. The *i*-th beacon has position *a**i* and power level *b**i*. When the *i*-th beacon is activated, it destroys all beacons to its left (direction of decreasing coordinates) within distance *b**i* inclusive. The beacon itself is not destroyed however. Saitama will activate the beacons one at a time from right to left. If a beacon is destroyed, it cannot be activated.
Saitama wants Genos to add a beacon strictly to the right of all the existing beacons, with any position and any power level, such that the least possible number of beacons are destroyed. Note that Genos's placement of the beacon means it will be the first beacon activated. Help Genos by finding the minimum number of beacons that could be destroyed.
|
The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the initial number of beacons.
The *i*-th of next *n* lines contains two integers *a**i* and *b**i* (0<=≤<=*a**i*<=≤<=1<=000<=000, 1<=≤<=*b**i*<=≤<=1<=000<=000) — the position and power level of the *i*-th beacon respectively. No two beacons will have the same position, so *a**i*<=≠<=*a**j* if *i*<=≠<=*j*.
|
Print a single integer — the minimum number of beacons that could be destroyed if exactly one beacon is added.
|
[
"4\n1 9\n3 1\n6 1\n7 4\n",
"7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 1\n7 1\n"
] |
[
"1\n",
"3\n"
] |
For the first sample case, the minimum number of beacons destroyed is 1. One way to achieve this is to place a beacon at position 9 with power level 2.
For the second sample case, the minimum number of beacons destroyed is 3. One way to achieve this is to place a beacon at position 1337 with power level 42.
| 500
|
[
{
"input": "4\n1 9\n3 1\n6 1\n7 4",
"output": "1"
},
{
"input": "7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 1\n7 1",
"output": "3"
},
{
"input": "1\n0 1",
"output": "0"
},
{
"input": "1\n0 1000000",
"output": "0"
},
{
"input": "1\n1000000 1000000",
"output": "0"
},
{
"input": "7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 6\n7 7",
"output": "4"
},
{
"input": "5\n1 1\n3 1\n5 1\n7 10\n8 10",
"output": "2"
},
{
"input": "11\n110 90\n100 70\n90 10\n80 10\n70 1\n60 1\n50 10\n40 1\n30 1\n10 1\n20 1",
"output": "4"
}
] | 1,697,636,456
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 41
| 1,075
| 29,696,000
|
from bisect import bisect_left as bl
n=int(input())
b,a,p,dp=[],[],[],[]
for i in range(n):
a.append(list(map(int,input().split())))
a.sort()
for i in range(n):
b.append(a[i][0])
p.append(a[i][1])
dp.append(0)
for i in range(n):
j=bl(b,b[i]-p[i])
dp[i]=i-j + dp[j-1]
ans,c=float("inf"),1
for j in range(n-1,-1,-1):
ans=min(ans,dp[j-1]+c,dp[j]+c-1)
c=c+1
print(ans)
|
Title: Chain Reaction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* beacons located at distinct positions on a number line. The *i*-th beacon has position *a**i* and power level *b**i*. When the *i*-th beacon is activated, it destroys all beacons to its left (direction of decreasing coordinates) within distance *b**i* inclusive. The beacon itself is not destroyed however. Saitama will activate the beacons one at a time from right to left. If a beacon is destroyed, it cannot be activated.
Saitama wants Genos to add a beacon strictly to the right of all the existing beacons, with any position and any power level, such that the least possible number of beacons are destroyed. Note that Genos's placement of the beacon means it will be the first beacon activated. Help Genos by finding the minimum number of beacons that could be destroyed.
Input Specification:
The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the initial number of beacons.
The *i*-th of next *n* lines contains two integers *a**i* and *b**i* (0<=≤<=*a**i*<=≤<=1<=000<=000, 1<=≤<=*b**i*<=≤<=1<=000<=000) — the position and power level of the *i*-th beacon respectively. No two beacons will have the same position, so *a**i*<=≠<=*a**j* if *i*<=≠<=*j*.
Output Specification:
Print a single integer — the minimum number of beacons that could be destroyed if exactly one beacon is added.
Demo Input:
['4\n1 9\n3 1\n6 1\n7 4\n', '7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 1\n7 1\n']
Demo Output:
['1\n', '3\n']
Note:
For the first sample case, the minimum number of beacons destroyed is 1. One way to achieve this is to place a beacon at position 9 with power level 2.
For the second sample case, the minimum number of beacons destroyed is 3. One way to achieve this is to place a beacon at position 1337 with power level 42.
|
```python
from bisect import bisect_left as bl
n=int(input())
b,a,p,dp=[],[],[],[]
for i in range(n):
a.append(list(map(int,input().split())))
a.sort()
for i in range(n):
b.append(a[i][0])
p.append(a[i][1])
dp.append(0)
for i in range(n):
j=bl(b,b[i]-p[i])
dp[i]=i-j + dp[j-1]
ans,c=float("inf"),1
for j in range(n-1,-1,-1):
ans=min(ans,dp[j-1]+c,dp[j]+c-1)
c=c+1
print(ans)
```
| 3
|
|
777
|
C
|
Alyona and Spreadsheet
|
PROGRAMMING
| 1,600
|
[
"binary search",
"data structures",
"dp",
"greedy",
"implementation",
"two pointers"
] | null | null |
During the lesson small girl Alyona works with one famous spreadsheet computer program and learns how to edit tables.
Now she has a table filled with integers. The table consists of *n* rows and *m* columns. By *a**i*,<=*j* we will denote the integer located at the *i*-th row and the *j*-th column. We say that the table is sorted in non-decreasing order in the column *j* if *a**i*,<=*j*<=≤<=*a**i*<=+<=1,<=*j* for all *i* from 1 to *n*<=-<=1.
Teacher gave Alyona *k* tasks. For each of the tasks two integers *l* and *r* are given and Alyona has to answer the following question: if one keeps the rows from *l* to *r* inclusive and deletes all others, will the table be sorted in non-decreasing order in at least one column? Formally, does there exist such *j* that *a**i*,<=*j*<=≤<=*a**i*<=+<=1,<=*j* for all *i* from *l* to *r*<=-<=1 inclusive.
Alyona is too small to deal with this task and asks you to help!
|
The first line of the input contains two positive integers *n* and *m* (1<=≤<=*n*·*m*<=≤<=100<=000) — the number of rows and the number of columns in the table respectively. Note that your are given a constraint that bound the product of these two integers, i.e. the number of elements in the table.
Each of the following *n* lines contains *m* integers. The *j*-th integers in the *i* of these lines stands for *a**i*,<=*j* (1<=≤<=*a**i*,<=*j*<=≤<=109).
The next line of the input contains an integer *k* (1<=≤<=*k*<=≤<=100<=000) — the number of task that teacher gave to Alyona.
The *i*-th of the next *k* lines contains two integers *l**i* and *r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*).
|
Print "Yes" to the *i*-th line of the output if the table consisting of rows from *l**i* to *r**i* inclusive is sorted in non-decreasing order in at least one column. Otherwise, print "No".
|
[
"5 4\n1 2 3 5\n3 1 3 2\n4 5 2 3\n5 5 3 2\n4 4 3 4\n6\n1 1\n2 5\n4 5\n3 5\n1 3\n1 5\n"
] |
[
"Yes\nNo\nYes\nYes\nYes\nNo\n"
] |
In the sample, the whole table is not sorted in any column. However, rows 1–3 are sorted in column 1, while rows 4–5 are sorted in column 3.
| 1,500
|
[
{
"input": "5 4\n1 2 3 5\n3 1 3 2\n4 5 2 3\n5 5 3 2\n4 4 3 4\n6\n1 1\n2 5\n4 5\n3 5\n1 3\n1 5",
"output": "Yes\nNo\nYes\nYes\nYes\nNo"
},
{
"input": "1 1\n1\n1\n1 1",
"output": "Yes"
},
{
"input": "10 1\n523130301\n127101624\n15573616\n703140639\n628818570\n957494759\n161270109\n386865653\n67832626\n53360557\n17\n4 5\n4 7\n8 8\n9 9\n3 9\n8 10\n8 9\n7 9\n4 5\n2 9\n4 6\n2 4\n2 6\n4 6\n7 9\n2 4\n8 10",
"output": "No\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo"
},
{
"input": "15 1\n556231456\n573340933\n626155933\n397229387\n10255952\n376567394\n906742013\n269437009\n31298788\n712285290\n620239975\n379221898\n229140718\n95080095\n997123854\n18\n5 15\n1 12\n4 10\n2 15\n12 15\n15 15\n2 2\n15 15\n15 15\n13 13\n10 14\n3 6\n14 15\n3 6\n4 4\n14 15\n12 14\n1 9",
"output": "No\nNo\nNo\nNo\nNo\nYes\nYes\nYes\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nYes\nNo\nNo"
},
{
"input": "11 1\n501465490\n366941771\n415080944\n385243536\n445132523\n697044413\n894369800\n812743722\n23684788\n466526046\n953916313\n45\n2 4\n8 9\n7 7\n4 9\n2 9\n2 11\n4 4\n5 7\n1 2\n5 10\n4 6\n1 7\n4 4\n1 6\n4 7\n10 11\n1 8\n6 11\n8 8\n8 10\n1 1\n5 10\n9 10\n6 9\n6 11\n1 1\n9 9\n5 11\n1 2\n9 11\n2 6\n3 7\n11 11\n6 7\n11 11\n7 8\n5 8\n11 11\n5 6\n4 5\n2 6\n5 10\n9 9\n1 1\n1 1",
"output": "No\nNo\nYes\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nYes\nNo\nYes\nNo\nNo\nYes\nYes\nNo\nNo\nYes\nNo\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nYes\nYes\nNo\nNo\nYes\nYes\nYes"
}
] | 1,606,629,870
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 114
| 467
| 22,630,400
|
import sys
rr=sys.stdin.readline
n,m=map(int,rr().split())
table=[]
for _ in range(n):
table.append(list(map(int,rr().split())))
depth=[[1]*m for _ in range(n)]
for c in range(m):
for r in range(1,n):
if table[r][c]>=table[r-1][c]:
depth[r][c]=depth[r-1][c]+1
max_depth=[max(row) for row in depth]
for _ in range(int(rr())):
l,r=map(int,rr().split())
if l==r:
print("Yes")
else:
if max_depth[r-1]>=r-l+1:
print("Yes")
else:
print("No")
|
Title: Alyona and Spreadsheet
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
During the lesson small girl Alyona works with one famous spreadsheet computer program and learns how to edit tables.
Now she has a table filled with integers. The table consists of *n* rows and *m* columns. By *a**i*,<=*j* we will denote the integer located at the *i*-th row and the *j*-th column. We say that the table is sorted in non-decreasing order in the column *j* if *a**i*,<=*j*<=≤<=*a**i*<=+<=1,<=*j* for all *i* from 1 to *n*<=-<=1.
Teacher gave Alyona *k* tasks. For each of the tasks two integers *l* and *r* are given and Alyona has to answer the following question: if one keeps the rows from *l* to *r* inclusive and deletes all others, will the table be sorted in non-decreasing order in at least one column? Formally, does there exist such *j* that *a**i*,<=*j*<=≤<=*a**i*<=+<=1,<=*j* for all *i* from *l* to *r*<=-<=1 inclusive.
Alyona is too small to deal with this task and asks you to help!
Input Specification:
The first line of the input contains two positive integers *n* and *m* (1<=≤<=*n*·*m*<=≤<=100<=000) — the number of rows and the number of columns in the table respectively. Note that your are given a constraint that bound the product of these two integers, i.e. the number of elements in the table.
Each of the following *n* lines contains *m* integers. The *j*-th integers in the *i* of these lines stands for *a**i*,<=*j* (1<=≤<=*a**i*,<=*j*<=≤<=109).
The next line of the input contains an integer *k* (1<=≤<=*k*<=≤<=100<=000) — the number of task that teacher gave to Alyona.
The *i*-th of the next *k* lines contains two integers *l**i* and *r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*).
Output Specification:
Print "Yes" to the *i*-th line of the output if the table consisting of rows from *l**i* to *r**i* inclusive is sorted in non-decreasing order in at least one column. Otherwise, print "No".
Demo Input:
['5 4\n1 2 3 5\n3 1 3 2\n4 5 2 3\n5 5 3 2\n4 4 3 4\n6\n1 1\n2 5\n4 5\n3 5\n1 3\n1 5\n']
Demo Output:
['Yes\nNo\nYes\nYes\nYes\nNo\n']
Note:
In the sample, the whole table is not sorted in any column. However, rows 1–3 are sorted in column 1, while rows 4–5 are sorted in column 3.
|
```python
import sys
rr=sys.stdin.readline
n,m=map(int,rr().split())
table=[]
for _ in range(n):
table.append(list(map(int,rr().split())))
depth=[[1]*m for _ in range(n)]
for c in range(m):
for r in range(1,n):
if table[r][c]>=table[r-1][c]:
depth[r][c]=depth[r-1][c]+1
max_depth=[max(row) for row in depth]
for _ in range(int(rr())):
l,r=map(int,rr().split())
if l==r:
print("Yes")
else:
if max_depth[r-1]>=r-l+1:
print("Yes")
else:
print("No")
```
| 3
|
|
622
|
B
|
The Time
|
PROGRAMMING
| 900
|
[
"implementation"
] | null | null |
You are given the current time in 24-hour format hh:mm. Find and print the time after *a* minutes.
Note that you should find only the time after *a* minutes, see the examples to clarify the problem statement.
You can read more about 24-hour format here [https://en.wikipedia.org/wiki/24-hour_clock](https://en.wikipedia.org/wiki/24-hour_clock).
|
The first line contains the current time in the format hh:mm (0<=≤<=*hh*<=<<=24,<=0<=≤<=*mm*<=<<=60). The hours and the minutes are given with two digits (the hours or the minutes less than 10 are given with the leading zeroes).
The second line contains integer *a* (0<=≤<=*a*<=≤<=104) — the number of the minutes passed.
|
The only line should contain the time after *a* minutes in the format described in the input. Note that you should print exactly two digits for the hours and the minutes (add leading zeroes to the numbers if needed).
See the examples to check the input/output format.
|
[
"23:59\n10\n",
"20:20\n121\n",
"10:10\n0\n"
] |
[
"00:09\n",
"22:21\n",
"10:10\n"
] |
none
| 0
|
[
{
"input": "23:59\n10",
"output": "00:09"
},
{
"input": "20:20\n121",
"output": "22:21"
},
{
"input": "10:10\n0",
"output": "10:10"
},
{
"input": "12:34\n10000",
"output": "11:14"
},
{
"input": "00:00\n10000",
"output": "22:40"
},
{
"input": "00:00\n1440",
"output": "00:00"
},
{
"input": "23:59\n8640",
"output": "23:59"
},
{
"input": "10:01\n0",
"output": "10:01"
},
{
"input": "04:05\n0",
"output": "04:05"
},
{
"input": "02:59\n1",
"output": "03:00"
},
{
"input": "05:15\n10",
"output": "05:25"
},
{
"input": "03:10\n20",
"output": "03:30"
},
{
"input": "09:11\n0",
"output": "09:11"
},
{
"input": "19:00\n0",
"output": "19:00"
},
{
"input": "23:59\n1",
"output": "00:00"
},
{
"input": "11:59\n1",
"output": "12:00"
},
{
"input": "19:34\n566",
"output": "05:00"
},
{
"input": "00:01\n59",
"output": "01:00"
},
{
"input": "03:30\n0",
"output": "03:30"
},
{
"input": "22:30\n30",
"output": "23:00"
},
{
"input": "22:50\n70",
"output": "00:00"
},
{
"input": "05:12\n0",
"output": "05:12"
},
{
"input": "09:20\n40",
"output": "10:00"
},
{
"input": "15:04\n36",
"output": "15:40"
},
{
"input": "05:37\n23",
"output": "06:00"
},
{
"input": "23:59\n59",
"output": "00:58"
},
{
"input": "21:09\n9997",
"output": "19:46"
},
{
"input": "11:00\n1",
"output": "11:01"
},
{
"input": "20:01\n2699",
"output": "17:00"
},
{
"input": "01:00\n59",
"output": "01:59"
},
{
"input": "07:09\n6538",
"output": "20:07"
},
{
"input": "00:00\n10",
"output": "00:10"
},
{
"input": "02:09\n2074",
"output": "12:43"
},
{
"input": "01:10\n1",
"output": "01:11"
},
{
"input": "23:01\n59",
"output": "00:00"
},
{
"input": "08:50\n20",
"output": "09:10"
},
{
"input": "13:18\n5121",
"output": "02:39"
},
{
"input": "18:31\n2677",
"output": "15:08"
},
{
"input": "14:17\n108",
"output": "16:05"
},
{
"input": "02:45\n5617",
"output": "00:22"
},
{
"input": "00:00\n3600",
"output": "12:00"
},
{
"input": "19:01\n59",
"output": "20:00"
},
{
"input": "19:02\n59",
"output": "20:01"
},
{
"input": "14:00\n2880",
"output": "14:00"
},
{
"input": "01:10\n44",
"output": "01:54"
},
{
"input": "02:01\n59",
"output": "03:00"
},
{
"input": "07:02\n121",
"output": "09:03"
},
{
"input": "10:00\n61",
"output": "11:01"
},
{
"input": "23:59\n61",
"output": "01:00"
},
{
"input": "00:00\n0",
"output": "00:00"
},
{
"input": "23:59\n121",
"output": "02:00"
},
{
"input": "00:00\n60",
"output": "01:00"
},
{
"input": "15:52\n60",
"output": "16:52"
},
{
"input": "00:39\n6525",
"output": "13:24"
},
{
"input": "00:30\n30",
"output": "01:00"
},
{
"input": "00:59\n1",
"output": "01:00"
},
{
"input": "00:55\n4321",
"output": "00:56"
},
{
"input": "10:05\n1",
"output": "10:06"
},
{
"input": "23:00\n60",
"output": "00:00"
}
] | 1,475,063,793
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 59
| 92
| 0
|
if __name__ == '__main__':
hh, mm = str(input()).split(':')
if hh.startswith('0'):
hh = hh[-1]
if mm.startswith('0'):
mm = mm[-1]
hh = int(hh)
mm = int(mm)
a = int(input()) % 1440
hh += a // 60
mm += a % 60
if mm >= 60:
mm -= 60
hh += 1
if hh >= 24:
hh -= 24
print('%02d:%02d' % (hh, mm))
|
Title: The Time
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given the current time in 24-hour format hh:mm. Find and print the time after *a* minutes.
Note that you should find only the time after *a* minutes, see the examples to clarify the problem statement.
You can read more about 24-hour format here [https://en.wikipedia.org/wiki/24-hour_clock](https://en.wikipedia.org/wiki/24-hour_clock).
Input Specification:
The first line contains the current time in the format hh:mm (0<=≤<=*hh*<=<<=24,<=0<=≤<=*mm*<=<<=60). The hours and the minutes are given with two digits (the hours or the minutes less than 10 are given with the leading zeroes).
The second line contains integer *a* (0<=≤<=*a*<=≤<=104) — the number of the minutes passed.
Output Specification:
The only line should contain the time after *a* minutes in the format described in the input. Note that you should print exactly two digits for the hours and the minutes (add leading zeroes to the numbers if needed).
See the examples to check the input/output format.
Demo Input:
['23:59\n10\n', '20:20\n121\n', '10:10\n0\n']
Demo Output:
['00:09\n', '22:21\n', '10:10\n']
Note:
none
|
```python
if __name__ == '__main__':
hh, mm = str(input()).split(':')
if hh.startswith('0'):
hh = hh[-1]
if mm.startswith('0'):
mm = mm[-1]
hh = int(hh)
mm = int(mm)
a = int(input()) % 1440
hh += a // 60
mm += a % 60
if mm >= 60:
mm -= 60
hh += 1
if hh >= 24:
hh -= 24
print('%02d:%02d' % (hh, mm))
```
| 3
|
|
888
|
A
|
Local Extrema
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation"
] | null | null |
You are given an array *a*. Some element of this array *a**i* is a local minimum iff it is strictly less than both of its neighbours (that is, *a**i*<=<<=*a**i*<=-<=1 and *a**i*<=<<=*a**i*<=+<=1). Also the element can be called local maximum iff it is strictly greater than its neighbours (that is, *a**i*<=><=*a**i*<=-<=1 and *a**i*<=><=*a**i*<=+<=1). Since *a*1 and *a**n* have only one neighbour each, they are neither local minima nor local maxima.
An element is called a local extremum iff it is either local maximum or local minimum. Your task is to calculate the number of local extrema in the given array.
|
The first line contains one integer *n* (1<=≤<=*n*<=≤<=1000) — the number of elements in array *a*.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=1000) — the elements of array *a*.
|
Print the number of local extrema in the given array.
|
[
"3\n1 2 3\n",
"4\n1 5 2 5\n"
] |
[
"0\n",
"2\n"
] |
none
| 0
|
[
{
"input": "3\n1 2 3",
"output": "0"
},
{
"input": "4\n1 5 2 5",
"output": "2"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n548",
"output": "0"
},
{
"input": "2\n1 1",
"output": "0"
},
{
"input": "3\n3 2 3",
"output": "1"
},
{
"input": "2\n1 1000",
"output": "0"
},
{
"input": "3\n1 2 1",
"output": "1"
}
] | 1,600,963,459
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 14
| 108
| 307,200
|
n = input()
n = int(n)
array = input()
array = [int(i) for i in array.split(' ')]
c = 0
for i in range(1,n-1):
if (array[i] < array[i-1] and array[i] < array[i+1]) or (array[i] > array[i-1] and array[i] > array[i+1]):
c += 1
print(c)
|
Title: Local Extrema
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given an array *a*. Some element of this array *a**i* is a local minimum iff it is strictly less than both of its neighbours (that is, *a**i*<=<<=*a**i*<=-<=1 and *a**i*<=<<=*a**i*<=+<=1). Also the element can be called local maximum iff it is strictly greater than its neighbours (that is, *a**i*<=><=*a**i*<=-<=1 and *a**i*<=><=*a**i*<=+<=1). Since *a*1 and *a**n* have only one neighbour each, they are neither local minima nor local maxima.
An element is called a local extremum iff it is either local maximum or local minimum. Your task is to calculate the number of local extrema in the given array.
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=1000) — the number of elements in array *a*.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=1000) — the elements of array *a*.
Output Specification:
Print the number of local extrema in the given array.
Demo Input:
['3\n1 2 3\n', '4\n1 5 2 5\n']
Demo Output:
['0\n', '2\n']
Note:
none
|
```python
n = input()
n = int(n)
array = input()
array = [int(i) for i in array.split(' ')]
c = 0
for i in range(1,n-1):
if (array[i] < array[i-1] and array[i] < array[i+1]) or (array[i] > array[i-1] and array[i] > array[i+1]):
c += 1
print(c)
```
| 3
|
|
522
|
A
|
Reposts
|
PROGRAMMING
| 1,200
|
[
"*special",
"dfs and similar",
"dp",
"graphs",
"trees"
] | null | null |
One day Polycarp published a funny picture in a social network making a poll about the color of his handle. Many of his friends started reposting Polycarp's joke to their news feed. Some of them reposted the reposts and so on.
These events are given as a sequence of strings "name1 reposted name2", where name1 is the name of the person who reposted the joke, and name2 is the name of the person from whose news feed the joke was reposted. It is guaranteed that for each string "name1 reposted name2" user "name1" didn't have the joke in his feed yet, and "name2" already had it in his feed by the moment of repost. Polycarp was registered as "Polycarp" and initially the joke was only in his feed.
Polycarp measures the popularity of the joke as the length of the largest repost chain. Print the popularity of Polycarp's joke.
|
The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=200) — the number of reposts. Next follow the reposts in the order they were made. Each of them is written on a single line and looks as "name1 reposted name2". All the names in the input consist of lowercase or uppercase English letters and/or digits and have lengths from 2 to 24 characters, inclusive.
We know that the user names are case-insensitive, that is, two names that only differ in the letter case correspond to the same social network user.
|
Print a single integer — the maximum length of a repost chain.
|
[
"5\ntourist reposted Polycarp\nPetr reposted Tourist\nWJMZBMR reposted Petr\nsdya reposted wjmzbmr\nvepifanov reposted sdya\n",
"6\nMike reposted Polycarp\nMax reposted Polycarp\nEveryOne reposted Polycarp\n111 reposted Polycarp\nVkCup reposted Polycarp\nCodeforces reposted Polycarp\n",
"1\nSoMeStRaNgEgUe reposted PoLyCaRp\n"
] |
[
"6\n",
"2\n",
"2\n"
] |
none
| 500
|
[
{
"input": "5\ntourist reposted Polycarp\nPetr reposted Tourist\nWJMZBMR reposted Petr\nsdya reposted wjmzbmr\nvepifanov reposted sdya",
"output": "6"
},
{
"input": "6\nMike reposted Polycarp\nMax reposted Polycarp\nEveryOne reposted Polycarp\n111 reposted Polycarp\nVkCup reposted Polycarp\nCodeforces reposted Polycarp",
"output": "2"
},
{
"input": "1\nSoMeStRaNgEgUe reposted PoLyCaRp",
"output": "2"
},
{
"input": "1\niuNtwVf reposted POlYcarP",
"output": "2"
},
{
"input": "10\ncs reposted poLYCaRp\nAFIkDrY7Of4V7Mq reposted CS\nsoBiwyN7KOvoFUfbhux reposted aFikDry7Of4v7MQ\nvb6LbwA reposted sObIWYN7KOvoFufBHUx\nDtWKIcVwIHgj4Rcv reposted vb6lbwa\nkt reposted DTwKicvwihgJ4rCV\n75K reposted kT\njKzyxx1 reposted 75K\nuoS reposted jkZyXX1\npZJskHTCIqE3YyZ5ME reposted uoS",
"output": "11"
},
{
"input": "10\nvxrUpCXvx8Isq reposted pOLYcaRP\nICb1 reposted vXRUpCxvX8ISq\nJFMt4b8jZE7iF2m8by7y2 reposted Icb1\nqkG6ZkMIf9QRrBFQU reposted ICb1\nnawsNfcR2palIMnmKZ reposted pOlYcaRP\nKksyH reposted jFMT4b8JzE7If2M8by7y2\nwJtWwQS5FvzN0h8CxrYyL reposted NawsNfcR2paLIMnmKz\nDpBcBPYAcTXEdhldI6tPl reposted NaWSnFCr2pALiMnmkZ\nlEnwTVnlwdQg2vaIRQry reposted kKSYh\nQUVFgwllaWO reposted Wjtwwqs5FVzN0H8cxRyyl",
"output": "6"
},
{
"input": "10\nkkuLGEiHv reposted POLYcArp\n3oX1AoUqyw1eR3nCADY9hLwd reposted kkuLGeIHV\nwf97dqq5bx1dPIchCoT reposted 3OX1AOuQYW1eR3ncAdY9hLwD\nWANr8h reposted Wf97dQQ5bx1dpIcHcoT\n3Fb736lkljZK2LtSbfL reposted wANR8h\n6nq9xLOn reposted 3fB736lKlJZk2LtSbFL\nWL reposted 3Fb736lKLjZk2LTSbfl\ndvxn4Xtc6SBcvKf1 reposted wF97DQq5bX1dPiChCOt\nMCcPLIMISqxDzrj reposted 6nQ9XLOn\nxsQL4Z2Iu reposted MCcpLiMiSqxdzrj",
"output": "9"
},
{
"input": "10\nsMA4 reposted pOLyCARP\nlq3 reposted pOlycARp\nEa16LSFTQxLJnE reposted polYcARp\nkvZVZhJwXcWsnC7NA1DV2WvS reposted polYCArp\nEYqqlrjRwddI reposted pOlyCArP\nsPqQCA67Y6PBBbcaV3EhooO reposted ea16LSFTqxLJne\njjPnneZdF6WLZ3v reposted Ea16LSFTqxLjNe\nWEoi6UpnfBUx79 reposted ea16LSFtqXljNe\nqi4yra reposted eYqqlRJrWDDI\ncw7E1UCSUD reposted eYqqLRJRwDdI",
"output": "3"
}
] | 1,610,450,764
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 36
| 93
| 921,600
|
from queue import Queue
def bfs(s):
q=Queue()
visited={}
distance={}
for i in (dic):
visited[i]=0
distance[i]=-1
visited[s]=1
distance[s]=1
q.put(s)
while not q.empty():
u=q.get()
#print(u,end=' ')
for i in dic[u]:
if visited[i]==0:
visited[i]=1
distance[i]=distance[u]+1
q.put(i)
#print()
print(max(list(distance.values())))
n=int(input())
dic={}
for _ in range(n):
u,jj,v=input().split()
u=u.lower()
v=v.lower()
if u in dic:
dic[u].append(v)
else:
dic[u]=[v]
if v in dic:
dic[v].append(u)
else:
dic[v]=[u]
bfs('polycarp')
|
Title: Reposts
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Polycarp published a funny picture in a social network making a poll about the color of his handle. Many of his friends started reposting Polycarp's joke to their news feed. Some of them reposted the reposts and so on.
These events are given as a sequence of strings "name1 reposted name2", where name1 is the name of the person who reposted the joke, and name2 is the name of the person from whose news feed the joke was reposted. It is guaranteed that for each string "name1 reposted name2" user "name1" didn't have the joke in his feed yet, and "name2" already had it in his feed by the moment of repost. Polycarp was registered as "Polycarp" and initially the joke was only in his feed.
Polycarp measures the popularity of the joke as the length of the largest repost chain. Print the popularity of Polycarp's joke.
Input Specification:
The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=200) — the number of reposts. Next follow the reposts in the order they were made. Each of them is written on a single line and looks as "name1 reposted name2". All the names in the input consist of lowercase or uppercase English letters and/or digits and have lengths from 2 to 24 characters, inclusive.
We know that the user names are case-insensitive, that is, two names that only differ in the letter case correspond to the same social network user.
Output Specification:
Print a single integer — the maximum length of a repost chain.
Demo Input:
['5\ntourist reposted Polycarp\nPetr reposted Tourist\nWJMZBMR reposted Petr\nsdya reposted wjmzbmr\nvepifanov reposted sdya\n', '6\nMike reposted Polycarp\nMax reposted Polycarp\nEveryOne reposted Polycarp\n111 reposted Polycarp\nVkCup reposted Polycarp\nCodeforces reposted Polycarp\n', '1\nSoMeStRaNgEgUe reposted PoLyCaRp\n']
Demo Output:
['6\n', '2\n', '2\n']
Note:
none
|
```python
from queue import Queue
def bfs(s):
q=Queue()
visited={}
distance={}
for i in (dic):
visited[i]=0
distance[i]=-1
visited[s]=1
distance[s]=1
q.put(s)
while not q.empty():
u=q.get()
#print(u,end=' ')
for i in dic[u]:
if visited[i]==0:
visited[i]=1
distance[i]=distance[u]+1
q.put(i)
#print()
print(max(list(distance.values())))
n=int(input())
dic={}
for _ in range(n):
u,jj,v=input().split()
u=u.lower()
v=v.lower()
if u in dic:
dic[u].append(v)
else:
dic[u]=[v]
if v in dic:
dic[v].append(u)
else:
dic[v]=[u]
bfs('polycarp')
```
| 3
|
|
977
|
A
|
Wrong Subtraction
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
Little girl Tanya is learning how to decrease a number by one, but she does it wrong with a number consisting of two or more digits. Tanya subtracts one from a number by the following algorithm:
- if the last digit of the number is non-zero, she decreases the number by one; - if the last digit of the number is zero, she divides the number by 10 (i.e. removes the last digit).
You are given an integer number $n$. Tanya will subtract one from it $k$ times. Your task is to print the result after all $k$ subtractions.
It is guaranteed that the result will be positive integer number.
|
The first line of the input contains two integer numbers $n$ and $k$ ($2 \le n \le 10^9$, $1 \le k \le 50$) — the number from which Tanya will subtract and the number of subtractions correspondingly.
|
Print one integer number — the result of the decreasing $n$ by one $k$ times.
It is guaranteed that the result will be positive integer number.
|
[
"512 4\n",
"1000000000 9\n"
] |
[
"50\n",
"1\n"
] |
The first example corresponds to the following sequence: $512 \rightarrow 511 \rightarrow 510 \rightarrow 51 \rightarrow 50$.
| 0
|
[
{
"input": "512 4",
"output": "50"
},
{
"input": "1000000000 9",
"output": "1"
},
{
"input": "131203 11",
"output": "12"
},
{
"input": "999999999 50",
"output": "9999"
},
{
"input": "999999999 49",
"output": "99990"
},
{
"input": "131203 9",
"output": "130"
},
{
"input": "900000000 16",
"output": "1"
},
{
"input": "909090909 50",
"output": "3"
},
{
"input": "1001 2",
"output": "100"
},
{
"input": "5 2",
"output": "3"
},
{
"input": "2 1",
"output": "1"
}
] | 1,699,724,023
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 11
| 46
| 0
|
n , k = map(int , input().split())
num = [int(x) for x in str(n)]
length = len(num)
for index in range(k) :
if num[length-1] == 0 :
del num[length-1]
length-=1
else :
num[length-1]-=1
for i in num:
print(i, end="")
|
Title: Wrong Subtraction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little girl Tanya is learning how to decrease a number by one, but she does it wrong with a number consisting of two or more digits. Tanya subtracts one from a number by the following algorithm:
- if the last digit of the number is non-zero, she decreases the number by one; - if the last digit of the number is zero, she divides the number by 10 (i.e. removes the last digit).
You are given an integer number $n$. Tanya will subtract one from it $k$ times. Your task is to print the result after all $k$ subtractions.
It is guaranteed that the result will be positive integer number.
Input Specification:
The first line of the input contains two integer numbers $n$ and $k$ ($2 \le n \le 10^9$, $1 \le k \le 50$) — the number from which Tanya will subtract and the number of subtractions correspondingly.
Output Specification:
Print one integer number — the result of the decreasing $n$ by one $k$ times.
It is guaranteed that the result will be positive integer number.
Demo Input:
['512 4\n', '1000000000 9\n']
Demo Output:
['50\n', '1\n']
Note:
The first example corresponds to the following sequence: $512 \rightarrow 511 \rightarrow 510 \rightarrow 51 \rightarrow 50$.
|
```python
n , k = map(int , input().split())
num = [int(x) for x in str(n)]
length = len(num)
for index in range(k) :
if num[length-1] == 0 :
del num[length-1]
length-=1
else :
num[length-1]-=1
for i in num:
print(i, end="")
```
| 3
|
|
701
|
B
|
Cells Not Under Attack
|
PROGRAMMING
| 1,200
|
[
"data structures",
"math"
] | null | null |
Vasya has the square chessboard of size *n*<=×<=*n* and *m* rooks. Initially the chessboard is empty. Vasya will consequently put the rooks on the board one after another.
The cell of the field is under rook's attack, if there is at least one rook located in the same row or in the same column with this cell. If there is a rook located in the cell, this cell is also under attack.
You are given the positions of the board where Vasya will put rooks. For each rook you have to determine the number of cells which are not under attack after Vasya puts it on the board.
|
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*m*<=≤<=*min*(100<=000,<=*n*2)) — the size of the board and the number of rooks.
Each of the next *m* lines contains integers *x**i* and *y**i* (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*) — the number of the row and the number of the column where Vasya will put the *i*-th rook. Vasya puts rooks on the board in the order they appear in the input. It is guaranteed that any cell will contain no more than one rook.
|
Print *m* integer, the *i*-th of them should be equal to the number of cells that are not under attack after first *i* rooks are put.
|
[
"3 3\n1 1\n3 1\n2 2\n",
"5 2\n1 5\n5 1\n",
"100000 1\n300 400\n"
] |
[
"4 2 0 \n",
"16 9 \n",
"9999800001 \n"
] |
On the picture below show the state of the board after put each of the three rooks. The cells which painted with grey color is not under the attack.
| 750
|
[
{
"input": "3 3\n1 1\n3 1\n2 2",
"output": "4 2 0 "
},
{
"input": "5 2\n1 5\n5 1",
"output": "16 9 "
},
{
"input": "100000 1\n300 400",
"output": "9999800001 "
},
{
"input": "10 4\n2 8\n1 8\n9 8\n6 9",
"output": "81 72 63 48 "
},
{
"input": "30 30\n3 13\n27 23\n18 24\n18 19\n14 20\n7 10\n27 13\n20 27\n11 1\n21 10\n2 9\n28 12\n29 19\n28 27\n27 29\n30 12\n27 2\n4 5\n8 19\n21 2\n24 27\n14 22\n20 3\n18 3\n23 9\n28 6\n15 12\n2 2\n16 27\n1 14",
"output": "841 784 729 702 650 600 600 552 506 484 441 400 380 380 361 342 324 289 272 272 255 240 225 225 210 196 182 182 168 143 "
},
{
"input": "70 31\n22 39\n33 43\n50 27\n70 9\n20 67\n61 24\n60 4\n60 28\n4 25\n30 29\n46 47\n51 48\n37 5\n14 29\n45 44\n68 35\n52 21\n7 37\n18 43\n44 22\n26 12\n39 37\n51 55\n50 23\n51 16\n16 49\n22 62\n35 45\n56 2\n20 51\n3 37",
"output": "4761 4624 4489 4356 4225 4096 3969 3906 3782 3660 3540 3422 3306 3249 3136 3025 2916 2809 2756 2652 2550 2499 2450 2401 2352 2256 2208 2115 2024 1978 1935 "
},
{
"input": "330 17\n259 262\n146 20\n235 69\n84 74\n131 267\n153 101\n32 232\n214 212\n239 157\n121 156\n10 45\n266 78\n52 258\n109 279\n193 276\n239 142\n321 89",
"output": "108241 107584 106929 106276 105625 104976 104329 103684 103041 102400 101761 101124 100489 99856 99225 98910 98282 "
},
{
"input": "500 43\n176 85\n460 171\n233 260\n73 397\n474 35\n290 422\n309 318\n280 415\n485 169\n106 22\n355 129\n180 301\n205 347\n197 93\n263 318\n336 382\n314 350\n476 214\n367 277\n333 166\n500 376\n236 17\n94 73\n116 204\n166 50\n168 218\n144 369\n340 91\n274 360\n171 360\n41 251\n262 478\n27 163\n151 491\n208 415\n448 386\n293 486\n371 479\n330 435\n220 374\n163 316\n155 158\n26 126",
"output": "249001 248004 247009 246016 245025 244036 243049 242064 241081 240100 239121 238144 237169 236196 235710 234740 233772 232806 231842 230880 229920 228962 228006 227052 226100 225150 224202 223256 222312 221840 220899 219960 219023 218088 217620 216688 215758 214830 213904 212980 212058 211138 210220 "
},
{
"input": "99999 1\n54016 16192",
"output": "9999600004 "
},
{
"input": "99991 9\n80814 65974\n12100 98787\n9390 76191\n5628 47659\n80075 25361\n75330 1630\n38758 99962\n33848 40352\n43732 52281",
"output": "9998000100 9997800121 9997600144 9997400169 9997200196 9997000225 9996800256 9996600289 9996400324 "
},
{
"input": "1 1\n1 1",
"output": "0 "
}
] | 1,639,632,639
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 40
| 826
| 21,094,400
|
def cells():
#entrada = input().split()
# n = tamanho tabuleiro nxn
# m = número de torres
n, m = map(int, input().split())
colunas = set()
linhas = set()
saida = []
for i in range(m):
col, lin = map(int, input().split())
colunas.add(col)
linhas.add(lin)
saida.append(str((n - len(colunas)) * (n - len(linhas))))
print(" ".join(saida))
cells()
|
Title: Cells Not Under Attack
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has the square chessboard of size *n*<=×<=*n* and *m* rooks. Initially the chessboard is empty. Vasya will consequently put the rooks on the board one after another.
The cell of the field is under rook's attack, if there is at least one rook located in the same row or in the same column with this cell. If there is a rook located in the cell, this cell is also under attack.
You are given the positions of the board where Vasya will put rooks. For each rook you have to determine the number of cells which are not under attack after Vasya puts it on the board.
Input Specification:
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*m*<=≤<=*min*(100<=000,<=*n*2)) — the size of the board and the number of rooks.
Each of the next *m* lines contains integers *x**i* and *y**i* (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*) — the number of the row and the number of the column where Vasya will put the *i*-th rook. Vasya puts rooks on the board in the order they appear in the input. It is guaranteed that any cell will contain no more than one rook.
Output Specification:
Print *m* integer, the *i*-th of them should be equal to the number of cells that are not under attack after first *i* rooks are put.
Demo Input:
['3 3\n1 1\n3 1\n2 2\n', '5 2\n1 5\n5 1\n', '100000 1\n300 400\n']
Demo Output:
['4 2 0 \n', '16 9 \n', '9999800001 \n']
Note:
On the picture below show the state of the board after put each of the three rooks. The cells which painted with grey color is not under the attack.
|
```python
def cells():
#entrada = input().split()
# n = tamanho tabuleiro nxn
# m = número de torres
n, m = map(int, input().split())
colunas = set()
linhas = set()
saida = []
for i in range(m):
col, lin = map(int, input().split())
colunas.add(col)
linhas.add(lin)
saida.append(str((n - len(colunas)) * (n - len(linhas))))
print(" ".join(saida))
cells()
```
| 3
|
|
82
|
A
|
Double Cola
|
PROGRAMMING
| 1,100
|
[
"implementation",
"math"
] |
A. Double Cola
|
1
|
256
|
Sheldon, Leonard, Penny, Rajesh and Howard are in the queue for a "Double Cola" drink vending machine; there are no other people in the queue. The first one in the queue (Sheldon) buys a can, drinks it and doubles! The resulting two Sheldons go to the end of the queue. Then the next in the queue (Leonard) buys a can, drinks it and gets to the end of the queue as two Leonards, and so on. This process continues ad infinitum.
For example, Penny drinks the third can of cola and the queue will look like this: Rajesh, Howard, Sheldon, Sheldon, Leonard, Leonard, Penny, Penny.
Write a program that will print the name of a man who will drink the *n*-th can.
Note that in the very beginning the queue looks like that: Sheldon, Leonard, Penny, Rajesh, Howard. The first person is Sheldon.
|
The input data consist of a single integer *n* (1<=≤<=*n*<=≤<=109).
It is guaranteed that the pretests check the spelling of all the five names, that is, that they contain all the five possible answers.
|
Print the single line — the name of the person who drinks the *n*-th can of cola. The cans are numbered starting from 1. Please note that you should spell the names like this: "Sheldon", "Leonard", "Penny", "Rajesh", "Howard" (without the quotes). In that order precisely the friends are in the queue initially.
|
[
"1\n",
"6\n",
"1802\n"
] |
[
"Sheldon\n",
"Sheldon\n",
"Penny\n"
] |
none
| 500
|
[
{
"input": "1",
"output": "Sheldon"
},
{
"input": "6",
"output": "Sheldon"
},
{
"input": "1802",
"output": "Penny"
},
{
"input": "1",
"output": "Sheldon"
},
{
"input": "2",
"output": "Leonard"
},
{
"input": "3",
"output": "Penny"
},
{
"input": "4",
"output": "Rajesh"
},
{
"input": "5",
"output": "Howard"
},
{
"input": "10",
"output": "Penny"
},
{
"input": "534",
"output": "Rajesh"
},
{
"input": "5033",
"output": "Howard"
},
{
"input": "10010",
"output": "Howard"
},
{
"input": "500000000",
"output": "Penny"
},
{
"input": "63",
"output": "Rajesh"
},
{
"input": "841",
"output": "Leonard"
},
{
"input": "3667",
"output": "Penny"
},
{
"input": "38614",
"output": "Howard"
},
{
"input": "282798",
"output": "Rajesh"
},
{
"input": "9266286",
"output": "Rajesh"
},
{
"input": "27385966",
"output": "Leonard"
},
{
"input": "121580142",
"output": "Penny"
},
{
"input": "5",
"output": "Howard"
},
{
"input": "300",
"output": "Howard"
},
{
"input": "1745",
"output": "Leonard"
},
{
"input": "8302",
"output": "Rajesh"
},
{
"input": "184518",
"output": "Sheldon"
},
{
"input": "1154414",
"output": "Rajesh"
},
{
"input": "28643950",
"output": "Leonard"
},
{
"input": "159222638",
"output": "Howard"
},
{
"input": "24",
"output": "Penny"
},
{
"input": "505",
"output": "Penny"
},
{
"input": "4425",
"output": "Rajesh"
},
{
"input": "12079",
"output": "Sheldon"
},
{
"input": "469726",
"output": "Penny"
},
{
"input": "3961838",
"output": "Penny"
},
{
"input": "57710446",
"output": "Leonard"
},
{
"input": "80719470",
"output": "Howard"
},
{
"input": "1000000000",
"output": "Penny"
},
{
"input": "999999999",
"output": "Penny"
},
{
"input": "999999998",
"output": "Penny"
},
{
"input": "5",
"output": "Howard"
}
] | 1,636,643,298
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 41
| 46
| 4,300,800
|
n=int(input())
line=["Sheldon","Leonard","Penny","Rajesh","Howard"]
while n>5:
n=int((n-4)/2)
print(line[n-1])
|
Title: Double Cola
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sheldon, Leonard, Penny, Rajesh and Howard are in the queue for a "Double Cola" drink vending machine; there are no other people in the queue. The first one in the queue (Sheldon) buys a can, drinks it and doubles! The resulting two Sheldons go to the end of the queue. Then the next in the queue (Leonard) buys a can, drinks it and gets to the end of the queue as two Leonards, and so on. This process continues ad infinitum.
For example, Penny drinks the third can of cola and the queue will look like this: Rajesh, Howard, Sheldon, Sheldon, Leonard, Leonard, Penny, Penny.
Write a program that will print the name of a man who will drink the *n*-th can.
Note that in the very beginning the queue looks like that: Sheldon, Leonard, Penny, Rajesh, Howard. The first person is Sheldon.
Input Specification:
The input data consist of a single integer *n* (1<=≤<=*n*<=≤<=109).
It is guaranteed that the pretests check the spelling of all the five names, that is, that they contain all the five possible answers.
Output Specification:
Print the single line — the name of the person who drinks the *n*-th can of cola. The cans are numbered starting from 1. Please note that you should spell the names like this: "Sheldon", "Leonard", "Penny", "Rajesh", "Howard" (without the quotes). In that order precisely the friends are in the queue initially.
Demo Input:
['1\n', '6\n', '1802\n']
Demo Output:
['Sheldon\n', 'Sheldon\n', 'Penny\n']
Note:
none
|
```python
n=int(input())
line=["Sheldon","Leonard","Penny","Rajesh","Howard"]
while n>5:
n=int((n-4)/2)
print(line[n-1])
```
| 3.968989
|
991
|
A
|
If at first you don't succeed...
|
PROGRAMMING
| 1,000
|
[
"implementation"
] | null | null |
Each student eagerly awaits the day he would pass the exams successfully. Thus, Vasya was ready to celebrate, but, alas, he didn't pass it. However, many of Vasya's fellow students from the same group were more successful and celebrated after the exam.
Some of them celebrated in the BugDonalds restaurant, some of them — in the BeaverKing restaurant, the most successful ones were fast enough to celebrate in both of restaurants. Students which didn't pass the exam didn't celebrate in any of those restaurants and elected to stay home to prepare for their reexamination. However, this quickly bored Vasya and he started checking celebration photos on the Kilogramm. He found out that, in total, BugDonalds was visited by $A$ students, BeaverKing — by $B$ students and $C$ students visited both restaurants. Vasya also knows that there are $N$ students in his group.
Based on this info, Vasya wants to determine either if his data contradicts itself or, if it doesn't, how many students in his group didn't pass the exam. Can you help him so he won't waste his valuable preparation time?
|
The first line contains four integers — $A$, $B$, $C$ and $N$ ($0 \leq A, B, C, N \leq 100$).
|
If a distribution of $N$ students exists in which $A$ students visited BugDonalds, $B$ — BeaverKing, $C$ — both of the restaurants and at least one student is left home (it is known that Vasya didn't pass the exam and stayed at home), output one integer — amount of students (including Vasya) who did not pass the exam.
If such a distribution does not exist and Vasya made a mistake while determining the numbers $A$, $B$, $C$ or $N$ (as in samples 2 and 3), output $-1$.
|
[
"10 10 5 20\n",
"2 2 0 4\n",
"2 2 2 1\n"
] |
[
"5",
"-1",
"-1"
] |
The first sample describes following situation: $5$ only visited BugDonalds, $5$ students only visited BeaverKing, $5$ visited both of them and $5$ students (including Vasya) didn't pass the exam.
In the second sample $2$ students only visited BugDonalds and $2$ only visited BeaverKing, but that means all $4$ students in group passed the exam which contradicts the fact that Vasya didn't pass meaning that this situation is impossible.
The third sample describes a situation where $2$ students visited BugDonalds but the group has only $1$ which makes it clearly impossible.
| 500
|
[
{
"input": "10 10 5 20",
"output": "5"
},
{
"input": "2 2 0 4",
"output": "-1"
},
{
"input": "2 2 2 1",
"output": "-1"
},
{
"input": "98 98 97 100",
"output": "1"
},
{
"input": "1 5 2 10",
"output": "-1"
},
{
"input": "5 1 2 10",
"output": "-1"
},
{
"input": "6 7 5 8",
"output": "-1"
},
{
"input": "6 7 5 9",
"output": "1"
},
{
"input": "6 7 5 7",
"output": "-1"
},
{
"input": "50 50 1 100",
"output": "1"
},
{
"input": "8 3 2 12",
"output": "3"
},
{
"input": "10 19 6 25",
"output": "2"
},
{
"input": "1 0 0 99",
"output": "98"
},
{
"input": "0 1 0 98",
"output": "97"
},
{
"input": "1 1 0 97",
"output": "95"
},
{
"input": "1 1 1 96",
"output": "95"
},
{
"input": "0 0 0 0",
"output": "-1"
},
{
"input": "100 0 0 0",
"output": "-1"
},
{
"input": "0 100 0 0",
"output": "-1"
},
{
"input": "100 100 0 0",
"output": "-1"
},
{
"input": "0 0 100 0",
"output": "-1"
},
{
"input": "100 0 100 0",
"output": "-1"
},
{
"input": "0 100 100 0",
"output": "-1"
},
{
"input": "100 100 100 0",
"output": "-1"
},
{
"input": "0 0 0 100",
"output": "100"
},
{
"input": "100 0 0 100",
"output": "-1"
},
{
"input": "0 100 0 100",
"output": "-1"
},
{
"input": "100 100 0 100",
"output": "-1"
},
{
"input": "0 0 100 100",
"output": "-1"
},
{
"input": "100 0 100 100",
"output": "-1"
},
{
"input": "0 100 100 100",
"output": "-1"
},
{
"input": "100 100 100 100",
"output": "-1"
},
{
"input": "10 45 7 52",
"output": "4"
},
{
"input": "38 1 1 68",
"output": "30"
},
{
"input": "8 45 2 67",
"output": "16"
},
{
"input": "36 36 18 65",
"output": "11"
},
{
"input": "10 30 8 59",
"output": "27"
},
{
"input": "38 20 12 49",
"output": "3"
},
{
"input": "8 19 4 38",
"output": "15"
},
{
"input": "36 21 17 72",
"output": "32"
},
{
"input": "14 12 12 89",
"output": "75"
},
{
"input": "38 6 1 44",
"output": "1"
},
{
"input": "13 4 6 82",
"output": "-1"
},
{
"input": "5 3 17 56",
"output": "-1"
},
{
"input": "38 5 29 90",
"output": "-1"
},
{
"input": "22 36 18 55",
"output": "15"
},
{
"input": "13 0 19 75",
"output": "-1"
},
{
"input": "62 65 10 89",
"output": "-1"
},
{
"input": "2 29 31 72",
"output": "-1"
},
{
"input": "1 31 19 55",
"output": "-1"
},
{
"input": "1 25 28 88",
"output": "-1"
},
{
"input": "34 32 28 33",
"output": "-1"
},
{
"input": "43 36 1 100",
"output": "22"
},
{
"input": "16 39 55 70",
"output": "-1"
},
{
"input": "2 3 0 91",
"output": "86"
},
{
"input": "55 29 12 48",
"output": "-1"
},
{
"input": "7 33 20 88",
"output": "-1"
},
{
"input": "40 38 27 99",
"output": "48"
},
{
"input": "18 28 14 84",
"output": "52"
},
{
"input": "34 25 25 92",
"output": "58"
},
{
"input": "4 24 5 76",
"output": "-1"
},
{
"input": "5 22 16 96",
"output": "-1"
},
{
"input": "1 1 0 4",
"output": "2"
},
{
"input": "5 5 3 1",
"output": "-1"
},
{
"input": "0 0 0 1",
"output": "1"
},
{
"input": "2 3 0 8",
"output": "3"
},
{
"input": "5 5 2 5",
"output": "-1"
},
{
"input": "1 2 1 3",
"output": "1"
},
{
"input": "3 0 0 4",
"output": "1"
},
{
"input": "0 0 0 5",
"output": "5"
},
{
"input": "5 5 0 3",
"output": "-1"
},
{
"input": "5 6 1 7",
"output": "-1"
},
{
"input": "10 10 10 11",
"output": "1"
},
{
"input": "0 0 0 10",
"output": "10"
},
{
"input": "5 15 5 30",
"output": "15"
},
{
"input": "3 2 0 7",
"output": "2"
}
] | 1,637,686,207
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 76
| 46
| 0
|
# from dust i have come dust i will be
a,b,c,n=map(int,input().split())
just_a=abs(c-a)
just_b=abs(c-b)
fail=n-just_a-just_b-c
#print(just_a,just_b,fail)
if fail>0 and c<=a and c<=b:
print(fail)
else:
print(-1)
|
Title: If at first you don't succeed...
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Each student eagerly awaits the day he would pass the exams successfully. Thus, Vasya was ready to celebrate, but, alas, he didn't pass it. However, many of Vasya's fellow students from the same group were more successful and celebrated after the exam.
Some of them celebrated in the BugDonalds restaurant, some of them — in the BeaverKing restaurant, the most successful ones were fast enough to celebrate in both of restaurants. Students which didn't pass the exam didn't celebrate in any of those restaurants and elected to stay home to prepare for their reexamination. However, this quickly bored Vasya and he started checking celebration photos on the Kilogramm. He found out that, in total, BugDonalds was visited by $A$ students, BeaverKing — by $B$ students and $C$ students visited both restaurants. Vasya also knows that there are $N$ students in his group.
Based on this info, Vasya wants to determine either if his data contradicts itself or, if it doesn't, how many students in his group didn't pass the exam. Can you help him so he won't waste his valuable preparation time?
Input Specification:
The first line contains four integers — $A$, $B$, $C$ and $N$ ($0 \leq A, B, C, N \leq 100$).
Output Specification:
If a distribution of $N$ students exists in which $A$ students visited BugDonalds, $B$ — BeaverKing, $C$ — both of the restaurants and at least one student is left home (it is known that Vasya didn't pass the exam and stayed at home), output one integer — amount of students (including Vasya) who did not pass the exam.
If such a distribution does not exist and Vasya made a mistake while determining the numbers $A$, $B$, $C$ or $N$ (as in samples 2 and 3), output $-1$.
Demo Input:
['10 10 5 20\n', '2 2 0 4\n', '2 2 2 1\n']
Demo Output:
['5', '-1', '-1']
Note:
The first sample describes following situation: $5$ only visited BugDonalds, $5$ students only visited BeaverKing, $5$ visited both of them and $5$ students (including Vasya) didn't pass the exam.
In the second sample $2$ students only visited BugDonalds and $2$ only visited BeaverKing, but that means all $4$ students in group passed the exam which contradicts the fact that Vasya didn't pass meaning that this situation is impossible.
The third sample describes a situation where $2$ students visited BugDonalds but the group has only $1$ which makes it clearly impossible.
|
```python
# from dust i have come dust i will be
a,b,c,n=map(int,input().split())
just_a=abs(c-a)
just_b=abs(c-b)
fail=n-just_a-just_b-c
#print(just_a,just_b,fail)
if fail>0 and c<=a and c<=b:
print(fail)
else:
print(-1)
```
| 3
|
|
834
|
B
|
The Festive Evening
|
PROGRAMMING
| 1,100
|
[
"data structures",
"implementation"
] | null | null |
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are *k* such guards in the castle, so if there are more than *k* opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than *k* doors were opened.
|
Two integers are given in the first string: the number of guests *n* and the number of guards *k* (1<=≤<=*n*<=≤<=106, 1<=≤<=*k*<=≤<=26).
In the second string, *n* uppercase English letters *s*1*s*2... *s**n* are given, where *s**i* is the entrance used by the *i*-th guest.
|
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
|
[
"5 1\nAABBB\n",
"5 1\nABABB\n"
] |
[
"NO\n",
"YES\n"
] |
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
| 1,000
|
[
{
"input": "5 1\nAABBB",
"output": "NO"
},
{
"input": "5 1\nABABB",
"output": "YES"
},
{
"input": "26 1\nABCDEFGHIJKLMNOPQRSTUVWXYZ",
"output": "NO"
},
{
"input": "27 1\nABCDEFGHIJKLMNOPQRSTUVWXYZA",
"output": "YES"
},
{
"input": "5 2\nABACA",
"output": "NO"
},
{
"input": "6 2\nABCABC",
"output": "YES"
},
{
"input": "8 3\nABCBCDCA",
"output": "NO"
},
{
"input": "73 2\nDEBECECBBADAADEAABEAEEEAEBEAEBCDDBABBAEBACCBEEBBAEADEECACEDEEDABACDCDBBBD",
"output": "YES"
},
{
"input": "44 15\nHGJIFCGGCDGIJDHBIBGAEABCIABIGBDEADBBBAGDFDHA",
"output": "NO"
},
{
"input": "41 19\nTMEYYIIELFDCMBDKWWKYNRNDUPRONYROXQCLVQALP",
"output": "NO"
},
{
"input": "377 3\nEADADBBBBDEAABBAEBABACDBDBBCACAADBEAEACDEAABACADEEDEACACDADABBBBDDEECBDABACACBAECBADAEBDEEBDBCDAEADBCDDACACDCCEEDBCCBBCEDBECBABCDDBBDEADEDAEACDECECBEBACBCCDCDBDAECDECADBCBEDBBDAAEBCAAECCDCCDBDDEBADEEBDCAEABBDEDBBDDEAECCBDDCDEACDAECCBDDABABEAEDCDEDBAECBDEACEBCECEACDCBABCBAAEAADACADBBBBABEADBCADEBCBECCABBDDDEEBCDEBADEBDAAABBEABADEDEAEABCEEBEEDEAEBEABCEDDBACBCCADEBAAAAAEABABBCE",
"output": "YES"
},
{
"input": "433 3\nFZDDHMJGBZCHFUXBBPIEBBEFDWOMXXEPOMDGSMPIUZOMRZQNSJAVNATGIWPDFISKFQXJNVFXPHOZDAEZFDAHDXXQKZMGNSGKQNWGNGJGJZVVITKNFLVCPMZSDMCHBTVAWYVZLIXXIADXNYILEYNIQHKMOGMVOCWGHCWIYMPEPADSJAAKEGTUSEDWAHMNYJDIHBKHVUHLYGNGZDBULRXLSAJHPCMNWCEAAPYMHDTYWPADOTJTXTXUKLCHWKUSZRHEKQEFPVJEJJHRWCKYOIWALRTIBUMNOCRXLSIKQCJVQXEPGOHRUDJDKMUUUDORURWXJNVRVMNOUNRFKSVMTMZGOIJLXEPAMVGESOADYIGZXRBJDIWKNOWTCSROAQTBECHTOZVSQUOOJRZIBAUHMKAXDCIMDZJFMABGRNTGPUJAUNFPFWCJG",
"output": "YES"
},
{
"input": "5 2\nABCAB",
"output": "YES"
},
{
"input": "5 1\nAZAZA",
"output": "YES"
},
{
"input": "7 2\nABCDBCD",
"output": "YES"
},
{
"input": "3 26\nAAB",
"output": "NO"
}
] | 1,610,146,038
| 1,038
|
Python 3
|
OK
|
TESTS
| 34
| 919
| 30,412,800
|
N, A = map(int, input().split())
S = str(input())
Dee = [[] for i in range (0, 26)]
Ree = [0]*(N+1)
for i in range (0, N):
Dee[ord(S[i])-65].append(i)
for i in range (0, 26):
if len(Dee[i]) > 0:
Ree[Dee[i][0]]+=1
Ree[Dee[i][-1]+1]-=1
for i in range (1, N+1):
Ree[i]+=Ree[i-1]
for i in range (0, N):
if Ree[i] > A:
print('YES')
exit()
print('NO')
|
Title: The Festive Evening
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are *k* such guards in the castle, so if there are more than *k* opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than *k* doors were opened.
Input Specification:
Two integers are given in the first string: the number of guests *n* and the number of guards *k* (1<=≤<=*n*<=≤<=106, 1<=≤<=*k*<=≤<=26).
In the second string, *n* uppercase English letters *s*1*s*2... *s**n* are given, where *s**i* is the entrance used by the *i*-th guest.
Output Specification:
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Demo Input:
['5 1\nAABBB\n', '5 1\nABABB\n']
Demo Output:
['NO\n', 'YES\n']
Note:
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
|
```python
N, A = map(int, input().split())
S = str(input())
Dee = [[] for i in range (0, 26)]
Ree = [0]*(N+1)
for i in range (0, N):
Dee[ord(S[i])-65].append(i)
for i in range (0, 26):
if len(Dee[i]) > 0:
Ree[Dee[i][0]]+=1
Ree[Dee[i][-1]+1]-=1
for i in range (1, N+1):
Ree[i]+=Ree[i-1]
for i in range (0, N):
if Ree[i] > A:
print('YES')
exit()
print('NO')
```
| 3
|
|
957
|
A
|
Tritonic Iridescence
|
PROGRAMMING
| 1,300
|
[
"implementation"
] | null | null |
Overlooking the captivating blend of myriads of vernal hues, Arkady the painter lays out a long, long canvas.
Arkady has a sufficiently large amount of paint of three colours: cyan, magenta, and yellow. On the one-dimensional canvas split into *n* consecutive segments, each segment needs to be painted in one of the colours.
Arkady has already painted some (possibly none or all) segments and passes the paintbrush to you. You are to determine whether there are at least two ways of colouring all the unpainted segments so that no two adjacent segments are of the same colour. Two ways are considered different if and only if a segment is painted in different colours in them.
|
The first line contains a single positive integer *n* (1<=≤<=*n*<=≤<=100) — the length of the canvas.
The second line contains a string *s* of *n* characters, the *i*-th of which is either 'C' (denoting a segment painted in cyan), 'M' (denoting one painted in magenta), 'Y' (one painted in yellow), or '?' (an unpainted one).
|
If there are at least two different ways of painting, output "Yes"; otherwise output "No" (both without quotes).
You can print each character in any case (upper or lower).
|
[
"5\nCY??Y\n",
"5\nC?C?Y\n",
"5\n?CYC?\n",
"5\nC??MM\n",
"3\nMMY\n"
] |
[
"Yes\n",
"Yes\n",
"Yes\n",
"No\n",
"No\n"
] |
For the first example, there are exactly two different ways of colouring: CYCMY and CYMCY.
For the second example, there are also exactly two different ways of colouring: CMCMY and CYCMY.
For the third example, there are four ways of colouring: MCYCM, MCYCY, YCYCM, and YCYCY.
For the fourth example, no matter how the unpainted segments are coloured, the existing magenta segments will prevent the painting from satisfying the requirements. The similar is true for the fifth example.
| 500
|
[
{
"input": "5\nCY??Y",
"output": "Yes"
},
{
"input": "5\nC?C?Y",
"output": "Yes"
},
{
"input": "5\n?CYC?",
"output": "Yes"
},
{
"input": "5\nC??MM",
"output": "No"
},
{
"input": "3\nMMY",
"output": "No"
},
{
"input": "15\n??YYYYYY??YYYY?",
"output": "No"
},
{
"input": "100\nYCY?CMCMCYMYMYC?YMYMYMY?CMC?MCMYCMYMYCM?CMCM?CMYMYCYCMCMCMCMCMYM?CYCYCMCM?CY?MYCYCMYM?CYCYCYMY?CYCYC",
"output": "No"
},
{
"input": "1\nC",
"output": "No"
},
{
"input": "1\n?",
"output": "Yes"
},
{
"input": "2\nMY",
"output": "No"
},
{
"input": "2\n?M",
"output": "Yes"
},
{
"input": "2\nY?",
"output": "Yes"
},
{
"input": "2\n??",
"output": "Yes"
},
{
"input": "3\n??C",
"output": "Yes"
},
{
"input": "3\nM??",
"output": "Yes"
},
{
"input": "3\nYCM",
"output": "No"
},
{
"input": "3\n?C?",
"output": "Yes"
},
{
"input": "3\nMC?",
"output": "Yes"
},
{
"input": "4\nCYCM",
"output": "No"
},
{
"input": "4\nM?CM",
"output": "No"
},
{
"input": "4\n??YM",
"output": "Yes"
},
{
"input": "4\nC???",
"output": "Yes"
},
{
"input": "10\nMCYM?MYM?C",
"output": "Yes"
},
{
"input": "50\nCMCMCYM?MY?C?MC??YM?CY?YM??M?MCMCYCYMCYCMCM?MCM?MC",
"output": "Yes"
},
{
"input": "97\nMCM?YCMYM?YMY?MY?MYCY?CMCMCYC?YMY?MYCMC?M?YCMC?YM?C?MCMCMYMCMY?MCM?YC?YMYMY?MYCYCM?YC?YCY?MYMYMYC",
"output": "No"
},
{
"input": "100\nC?M?M?M?YM??YMYC?MCYMYM??Y??YC?CYC???YM?YM??MYMY?CYCYMYC?YC?C?CYCMY??CMC?YMCMYCYCYMYM?CYM?M?MCMCMY?Y",
"output": "Yes"
},
{
"input": "100\n?YYYYYYYYYYYYYYYYYYYYYYYYYYYYY??YYY?YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY?",
"output": "No"
},
{
"input": "100\n????????????????????????????????????????????????????????????????????????????????????????????????????",
"output": "Yes"
},
{
"input": "100\nY?CYMYMYMYCYMY?CMCYMYMC?MYCY?CMCYCYMCM?YCMCYMYCYCY?MYMYCYCYCM?CYMYMY?CY?MYCYCY?M?YMYCY?CMCMCY?CY?M?C",
"output": "No"
},
{
"input": "4\nM??C",
"output": "Yes"
},
{
"input": "6\nY?C??C",
"output": "Yes"
},
{
"input": "5\nC???Y",
"output": "Yes"
},
{
"input": "5\nC??MY",
"output": "Yes"
},
{
"input": "5\nCY??M",
"output": "Yes"
},
{
"input": "4\nC??Y",
"output": "Yes"
},
{
"input": "52\n??????????????????????????????????????????????????YY",
"output": "No"
},
{
"input": "3\nYY?",
"output": "No"
},
{
"input": "5\nCC??Y",
"output": "No"
},
{
"input": "8\nCMC??MCM",
"output": "Yes"
},
{
"input": "7\nM?YCM??",
"output": "Yes"
},
{
"input": "6\n?CC???",
"output": "No"
},
{
"input": "100\n??????????????????????????????????????????????????????????????????????????????????????????????????MM",
"output": "No"
},
{
"input": "4\nC??M",
"output": "Yes"
},
{
"input": "4\n?C?M",
"output": "Yes"
},
{
"input": "6\nMC??MC",
"output": "Yes"
}
] | 1,681,654,407
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 45
| 77
| 0
|
def solve():
n = int(input())
s = input()
i = 0
for i in range(n-1):
if s[i]!='?' and s[i]==s[i+1]:
return "No"
i += 1
i = 0
for i in range(n-1):
if i==0 and s[i]=='?':
return "Yes"
if s[i]=='?' and s[i+1]=='?':
return "Yes"
if s[i]=='?' and s[i-1]==s[i+1]:
return "Yes"
i += 1
if s[n-1]=='?':
return "Yes"
return "No"
print(solve())
|
Title: Tritonic Iridescence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Overlooking the captivating blend of myriads of vernal hues, Arkady the painter lays out a long, long canvas.
Arkady has a sufficiently large amount of paint of three colours: cyan, magenta, and yellow. On the one-dimensional canvas split into *n* consecutive segments, each segment needs to be painted in one of the colours.
Arkady has already painted some (possibly none or all) segments and passes the paintbrush to you. You are to determine whether there are at least two ways of colouring all the unpainted segments so that no two adjacent segments are of the same colour. Two ways are considered different if and only if a segment is painted in different colours in them.
Input Specification:
The first line contains a single positive integer *n* (1<=≤<=*n*<=≤<=100) — the length of the canvas.
The second line contains a string *s* of *n* characters, the *i*-th of which is either 'C' (denoting a segment painted in cyan), 'M' (denoting one painted in magenta), 'Y' (one painted in yellow), or '?' (an unpainted one).
Output Specification:
If there are at least two different ways of painting, output "Yes"; otherwise output "No" (both without quotes).
You can print each character in any case (upper or lower).
Demo Input:
['5\nCY??Y\n', '5\nC?C?Y\n', '5\n?CYC?\n', '5\nC??MM\n', '3\nMMY\n']
Demo Output:
['Yes\n', 'Yes\n', 'Yes\n', 'No\n', 'No\n']
Note:
For the first example, there are exactly two different ways of colouring: CYCMY and CYMCY.
For the second example, there are also exactly two different ways of colouring: CMCMY and CYCMY.
For the third example, there are four ways of colouring: MCYCM, MCYCY, YCYCM, and YCYCY.
For the fourth example, no matter how the unpainted segments are coloured, the existing magenta segments will prevent the painting from satisfying the requirements. The similar is true for the fifth example.
|
```python
def solve():
n = int(input())
s = input()
i = 0
for i in range(n-1):
if s[i]!='?' and s[i]==s[i+1]:
return "No"
i += 1
i = 0
for i in range(n-1):
if i==0 and s[i]=='?':
return "Yes"
if s[i]=='?' and s[i+1]=='?':
return "Yes"
if s[i]=='?' and s[i-1]==s[i+1]:
return "Yes"
i += 1
if s[n-1]=='?':
return "Yes"
return "No"
print(solve())
```
| 3
|
|
0
|
none
|
none
|
none
| 0
|
[
"none"
] | null | null |
Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i. e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i. e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right!
|
The only line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=10<=000, 1<=≤<=*k*<=≤<=2*nm*) — the number of lanes, the number of desks in each lane and the number of Santa Claus' place.
|
Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right.
|
[
"4 3 9\n",
"4 3 24\n",
"2 4 4\n"
] |
[
"2 2 L\n",
"4 3 R\n",
"1 2 R\n"
] |
The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right.
| 0
|
[
{
"input": "4 3 9",
"output": "2 2 L"
},
{
"input": "4 3 24",
"output": "4 3 R"
},
{
"input": "2 4 4",
"output": "1 2 R"
},
{
"input": "3 10 24",
"output": "2 2 R"
},
{
"input": "10 3 59",
"output": "10 3 L"
},
{
"input": "10000 10000 160845880",
"output": "8043 2940 R"
},
{
"input": "1 1 1",
"output": "1 1 L"
},
{
"input": "1 1 2",
"output": "1 1 R"
},
{
"input": "1 10000 1",
"output": "1 1 L"
},
{
"input": "1 10000 20000",
"output": "1 10000 R"
},
{
"input": "10000 1 1",
"output": "1 1 L"
},
{
"input": "10000 1 10000",
"output": "5000 1 R"
},
{
"input": "10000 1 20000",
"output": "10000 1 R"
},
{
"input": "3 2 1",
"output": "1 1 L"
},
{
"input": "3 2 2",
"output": "1 1 R"
},
{
"input": "3 2 3",
"output": "1 2 L"
},
{
"input": "3 2 4",
"output": "1 2 R"
},
{
"input": "3 2 5",
"output": "2 1 L"
},
{
"input": "3 2 6",
"output": "2 1 R"
},
{
"input": "3 2 7",
"output": "2 2 L"
},
{
"input": "3 2 8",
"output": "2 2 R"
},
{
"input": "3 2 9",
"output": "3 1 L"
},
{
"input": "3 2 10",
"output": "3 1 R"
},
{
"input": "3 2 11",
"output": "3 2 L"
},
{
"input": "3 2 12",
"output": "3 2 R"
},
{
"input": "300 2000 1068628",
"output": "268 314 R"
},
{
"input": "300 2000 584756",
"output": "147 378 R"
},
{
"input": "300 2000 268181",
"output": "68 91 L"
},
{
"input": "10000 9999 186450844",
"output": "9324 4745 R"
},
{
"input": "10000 9999 197114268",
"output": "9857 6990 R"
},
{
"input": "10000 9999 112390396",
"output": "5621 818 R"
},
{
"input": "10000 10000 1",
"output": "1 1 L"
},
{
"input": "10000 10000 2",
"output": "1 1 R"
},
{
"input": "10000 10000 100000001",
"output": "5001 1 L"
},
{
"input": "10000 10000 199999999",
"output": "10000 10000 L"
},
{
"input": "10000 10000 200000000",
"output": "10000 10000 R"
},
{
"input": "1 2 1",
"output": "1 1 L"
},
{
"input": "1 2 2",
"output": "1 1 R"
},
{
"input": "1 2 3",
"output": "1 2 L"
},
{
"input": "1 2 4",
"output": "1 2 R"
},
{
"input": "2 1 1",
"output": "1 1 L"
},
{
"input": "2 1 2",
"output": "1 1 R"
},
{
"input": "2 1 3",
"output": "2 1 L"
},
{
"input": "2 1 4",
"output": "2 1 R"
},
{
"input": "4 3 7",
"output": "2 1 L"
},
{
"input": "1 1 1",
"output": "1 1 L"
}
] | 1,482,657,737
| 1,037
|
Python 3
|
OK
|
TESTS
| 46
| 93
| 4,608,000
|
n, m, k = map(int, input().split())
num = (k + 1) // 2
if (num % m == 0):
print(num // m, end = ' ')
else:
print(num // m + 1, end = ' ')
if (num % m == 0):
print(m, end = ' ')
else:
print(num % m, end = ' ')
if (k % 2 == 1):
print("L")
else:
print("R")
|
Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i. e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i. e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right!
Input Specification:
The only line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=10<=000, 1<=≤<=*k*<=≤<=2*nm*) — the number of lanes, the number of desks in each lane and the number of Santa Claus' place.
Output Specification:
Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right.
Demo Input:
['4 3 9\n', '4 3 24\n', '2 4 4\n']
Demo Output:
['2 2 L\n', '4 3 R\n', '1 2 R\n']
Note:
The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right.
|
```python
n, m, k = map(int, input().split())
num = (k + 1) // 2
if (num % m == 0):
print(num // m, end = ' ')
else:
print(num // m + 1, end = ' ')
if (num % m == 0):
print(m, end = ' ')
else:
print(num % m, end = ' ')
if (k % 2 == 1):
print("L")
else:
print("R")
```
| 3
|
|
478
|
C
|
Table Decorations
|
PROGRAMMING
| 1,800
|
[
"greedy"
] | null | null |
You have *r* red, *g* green and *b* blue balloons. To decorate a single table for the banquet you need exactly three balloons. Three balloons attached to some table shouldn't have the same color. What maximum number *t* of tables can be decorated if we know number of balloons of each color?
Your task is to write a program that for given values *r*, *g* and *b* will find the maximum number *t* of tables, that can be decorated in the required manner.
|
The single line contains three integers *r*, *g* and *b* (0<=≤<=*r*,<=*g*,<=*b*<=≤<=2·109) — the number of red, green and blue baloons respectively. The numbers are separated by exactly one space.
|
Print a single integer *t* — the maximum number of tables that can be decorated in the required manner.
|
[
"5 4 3\n",
"1 1 1\n",
"2 3 3\n"
] |
[
"4\n",
"1\n",
"2\n"
] |
In the first sample you can decorate the tables with the following balloon sets: "rgg", "gbb", "brr", "rrg", where "r", "g" and "b" represent the red, green and blue balls, respectively.
| 1,500
|
[
{
"input": "5 4 3",
"output": "4"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "2 3 3",
"output": "2"
},
{
"input": "0 1 0",
"output": "0"
},
{
"input": "0 3 3",
"output": "2"
},
{
"input": "4 0 4",
"output": "2"
},
{
"input": "1000000000 1000000000 1000000000",
"output": "1000000000"
},
{
"input": "100 99 56",
"output": "85"
},
{
"input": "1000 1000 1002",
"output": "1000"
},
{
"input": "0 1 1000000000",
"output": "1"
},
{
"input": "500000000 1000000000 500000000",
"output": "666666666"
},
{
"input": "1000000000 2000000000 1000000000",
"output": "1333333333"
},
{
"input": "2000000000 2000000000 2000000000",
"output": "2000000000"
},
{
"input": "0 0 0",
"output": "0"
},
{
"input": "1 2000000000 1000000000",
"output": "1000000000"
},
{
"input": "1585222789 1889821127 2000000000",
"output": "1825014638"
},
{
"input": "10000 7500 7500",
"output": "8333"
},
{
"input": "150000 75000 75000",
"output": "100000"
},
{
"input": "999288131 55884921 109298382",
"output": "165183303"
},
{
"input": "100500 100500 3",
"output": "67001"
},
{
"input": "1463615122 1988383731 837331500",
"output": "1429776784"
},
{
"input": "1938 8999 1882",
"output": "3820"
},
{
"input": "45 33 76",
"output": "51"
},
{
"input": "100000 1 2",
"output": "3"
},
{
"input": "198488 50 18",
"output": "68"
},
{
"input": "82728372 939848 100139442",
"output": "61269220"
},
{
"input": "99 5747 5298",
"output": "3714"
},
{
"input": "3 5 2",
"output": "3"
},
{
"input": "7511 7512 7513",
"output": "7512"
},
{
"input": "1234567890 123456789 987654321",
"output": "781893000"
},
{
"input": "500000000 2000000000 500000000",
"output": "1000000000"
},
{
"input": "500000002 2000000000 500000001",
"output": "1000000001"
},
{
"input": "520000000 1000000033 501000000",
"output": "673666677"
},
{
"input": "10000 1000 100000",
"output": "11000"
},
{
"input": "2000000000 500000000 499999999",
"output": "999999999"
},
{
"input": "1999999999 500000000 500000000",
"output": "999999999"
},
{
"input": "1 1 9",
"output": "2"
},
{
"input": "3 0 0",
"output": "0"
},
{
"input": "6 1 1",
"output": "2"
},
{
"input": "2000000000 1999999999 1999999999",
"output": "1999999999"
},
{
"input": "3 4 9",
"output": "5"
},
{
"input": "3 3 6",
"output": "4"
}
] | 1,691,082,801
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 42
| 62
| 0
|
a = list(map(int, input().split()))
a[0] = min(a[0], 2*(a[1]+a[2]))
a[1] = min(a[1], 2*(a[0]+a[2]))
a[2] = min(a[2], 2*(a[0]+a[1]))
ans = (a[0] + a[1] + a[2])//3
print(ans)
|
Title: Table Decorations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have *r* red, *g* green and *b* blue balloons. To decorate a single table for the banquet you need exactly three balloons. Three balloons attached to some table shouldn't have the same color. What maximum number *t* of tables can be decorated if we know number of balloons of each color?
Your task is to write a program that for given values *r*, *g* and *b* will find the maximum number *t* of tables, that can be decorated in the required manner.
Input Specification:
The single line contains three integers *r*, *g* and *b* (0<=≤<=*r*,<=*g*,<=*b*<=≤<=2·109) — the number of red, green and blue baloons respectively. The numbers are separated by exactly one space.
Output Specification:
Print a single integer *t* — the maximum number of tables that can be decorated in the required manner.
Demo Input:
['5 4 3\n', '1 1 1\n', '2 3 3\n']
Demo Output:
['4\n', '1\n', '2\n']
Note:
In the first sample you can decorate the tables with the following balloon sets: "rgg", "gbb", "brr", "rrg", where "r", "g" and "b" represent the red, green and blue balls, respectively.
|
```python
a = list(map(int, input().split()))
a[0] = min(a[0], 2*(a[1]+a[2]))
a[1] = min(a[1], 2*(a[0]+a[2]))
a[2] = min(a[2], 2*(a[0]+a[1]))
ans = (a[0] + a[1] + a[2])//3
print(ans)
```
| 3
|
|
263
|
A
|
Beautiful Matrix
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
You've got a 5<=×<=5 matrix, consisting of 24 zeroes and a single number one. Let's index the matrix rows by numbers from 1 to 5 from top to bottom, let's index the matrix columns by numbers from 1 to 5 from left to right. In one move, you are allowed to apply one of the two following transformations to the matrix:
1. Swap two neighboring matrix rows, that is, rows with indexes *i* and *i*<=+<=1 for some integer *i* (1<=≤<=*i*<=<<=5). 1. Swap two neighboring matrix columns, that is, columns with indexes *j* and *j*<=+<=1 for some integer *j* (1<=≤<=*j*<=<<=5).
You think that a matrix looks beautiful, if the single number one of the matrix is located in its middle (in the cell that is on the intersection of the third row and the third column). Count the minimum number of moves needed to make the matrix beautiful.
|
The input consists of five lines, each line contains five integers: the *j*-th integer in the *i*-th line of the input represents the element of the matrix that is located on the intersection of the *i*-th row and the *j*-th column. It is guaranteed that the matrix consists of 24 zeroes and a single number one.
|
Print a single integer — the minimum number of moves needed to make the matrix beautiful.
|
[
"0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n",
"0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n"
] |
[
"3\n",
"1\n"
] |
none
| 500
|
[
{
"input": "0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "1"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "0"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 1",
"output": "4"
},
{
"input": "0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "3"
},
{
"input": "1 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "4"
},
{
"input": "0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 1 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "4"
},
{
"input": "0 0 0 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "1"
},
{
"input": "0 0 0 0 0\n0 0 0 1 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n1 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "1"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n1 0 0 0 0\n0 0 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 1 0 0\n0 0 0 0 0",
"output": "1"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0\n0 0 0 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n1 0 0 0 0",
"output": "4"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 1 0 0",
"output": "2"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 1 0",
"output": "3"
}
] | 1,698,815,098
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 25
| 92
| 0
|
a=[list(map(int,input().split())) for _ in range(5)]
for i in range(5):
for j in range(5):
if a[i][j]==1:
row,col=i,j
print(abs(2-row)+abs(2-col))
|
Title: Beautiful Matrix
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You've got a 5<=×<=5 matrix, consisting of 24 zeroes and a single number one. Let's index the matrix rows by numbers from 1 to 5 from top to bottom, let's index the matrix columns by numbers from 1 to 5 from left to right. In one move, you are allowed to apply one of the two following transformations to the matrix:
1. Swap two neighboring matrix rows, that is, rows with indexes *i* and *i*<=+<=1 for some integer *i* (1<=≤<=*i*<=<<=5). 1. Swap two neighboring matrix columns, that is, columns with indexes *j* and *j*<=+<=1 for some integer *j* (1<=≤<=*j*<=<<=5).
You think that a matrix looks beautiful, if the single number one of the matrix is located in its middle (in the cell that is on the intersection of the third row and the third column). Count the minimum number of moves needed to make the matrix beautiful.
Input Specification:
The input consists of five lines, each line contains five integers: the *j*-th integer in the *i*-th line of the input represents the element of the matrix that is located on the intersection of the *i*-th row and the *j*-th column. It is guaranteed that the matrix consists of 24 zeroes and a single number one.
Output Specification:
Print a single integer — the minimum number of moves needed to make the matrix beautiful.
Demo Input:
['0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n', '0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n']
Demo Output:
['3\n', '1\n']
Note:
none
|
```python
a=[list(map(int,input().split())) for _ in range(5)]
for i in range(5):
for j in range(5):
if a[i][j]==1:
row,col=i,j
print(abs(2-row)+abs(2-col))
```
| 3
|
|
202
|
A
|
LLPS
|
PROGRAMMING
| 800
|
[
"binary search",
"bitmasks",
"brute force",
"greedy",
"implementation",
"strings"
] | null | null |
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string *s* consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string *s*[*p*1*p*2... *p**k*] = *s**p*1*s**p*2... *s**p**k* (1 <=≤<= *p*1<=<<=*p*2<=<<=...<=<<=*p**k* <=≤<= |*s*|) a subsequence of string *s* = *s*1*s*2... *s*|*s*|, where |*s*| is the length of string *s*. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String *x* = *x*1*x*2... *x*|*x*| is lexicographically larger than string *y* = *y*1*y*2... *y*|*y*| if either |*x*| > |*y*| and *x*1<==<=*y*1, *x*2<==<=*y*2, ...,<=*x*|*y*|<==<=*y*|*y*|, or there exists such number *r* (*r*<=<<=|*x*|, *r*<=<<=|*y*|) that *x*1<==<=*y*1, *x*2<==<=*y*2, ..., *x**r*<==<=*y**r* and *x**r*<=<=+<=<=1<=><=*y**r*<=<=+<=<=1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String *s* = *s*1*s*2... *s*|*s*| is a palindrome if it matches string *rev*(*s*) = *s*|*s*|*s*|*s*|<=-<=1... *s*1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
|
The only input line contains a non-empty string *s* consisting of lowercase English letters only. Its length does not exceed 10.
|
Print the lexicographically largest palindromic subsequence of string *s*.
|
[
"radar\n",
"bowwowwow\n",
"codeforces\n",
"mississipp\n"
] |
[
"rr\n",
"wwwww\n",
"s\n",
"ssss\n"
] |
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
| 500
|
[
{
"input": "radar",
"output": "rr"
},
{
"input": "bowwowwow",
"output": "wwwww"
},
{
"input": "codeforces",
"output": "s"
},
{
"input": "mississipp",
"output": "ssss"
},
{
"input": "tourist",
"output": "u"
},
{
"input": "romka",
"output": "r"
},
{
"input": "helloworld",
"output": "w"
},
{
"input": "zzzzzzzazz",
"output": "zzzzzzzzz"
},
{
"input": "testcase",
"output": "tt"
},
{
"input": "hahahahaha",
"output": "hhhhh"
},
{
"input": "abbbbbbbbb",
"output": "bbbbbbbbb"
},
{
"input": "zaz",
"output": "zz"
},
{
"input": "aza",
"output": "z"
},
{
"input": "dcbaedcba",
"output": "e"
},
{
"input": "abcdeabcd",
"output": "e"
},
{
"input": "edcbabcde",
"output": "ee"
},
{
"input": "aaaaaaaaab",
"output": "b"
},
{
"input": "testzzzzzz",
"output": "zzzzzz"
},
{
"input": "zzzzzzwait",
"output": "zzzzzz"
},
{
"input": "rrrrrqponm",
"output": "rrrrr"
},
{
"input": "zzyzyy",
"output": "zzz"
},
{
"input": "aababb",
"output": "bbb"
},
{
"input": "zanzibar",
"output": "zz"
},
{
"input": "hhgfedcbaa",
"output": "hh"
},
{
"input": "aabcdefghh",
"output": "hh"
},
{
"input": "aruaru",
"output": "uu"
},
{
"input": "uraura",
"output": "uu"
},
{
"input": "aru",
"output": "u"
},
{
"input": "aburvabur",
"output": "v"
},
{
"input": "ura",
"output": "u"
},
{
"input": "eurottat",
"output": "u"
},
{
"input": "referee",
"output": "rr"
},
{
"input": "joking",
"output": "o"
},
{
"input": "seriously",
"output": "y"
},
{
"input": "sets",
"output": "t"
},
{
"input": "test",
"output": "tt"
},
{
"input": "klmgameklm",
"output": "mmm"
},
{
"input": "dfkjafdkdd",
"output": "kk"
},
{
"input": "zzzzzzzzzz",
"output": "zzzzzzzzzz"
},
{
"input": "aaaaaaaaaa",
"output": "aaaaaaaaaa"
},
{
"input": "buzz",
"output": "zz"
},
{
"input": "b",
"output": "b"
},
{
"input": "y",
"output": "y"
},
{
"input": "yy",
"output": "yy"
},
{
"input": "zz",
"output": "zz"
},
{
"input": "bb",
"output": "bb"
},
{
"input": "aa",
"output": "aa"
},
{
"input": "a",
"output": "a"
},
{
"input": "z",
"output": "z"
},
{
"input": "zz",
"output": "zz"
},
{
"input": "zzazazzzaz",
"output": "zzzzzzz"
},
{
"input": "hellhellhe",
"output": "llll"
},
{
"input": "hellohello",
"output": "oo"
},
{
"input": "refer",
"output": "rr"
}
] | 1,619,903,319
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 54
| 216
| 0
|
import sys
def main():
s = sys.stdin.read().strip()
return max(s)*s.count(max(s))
print(main())
|
Title: LLPS
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.
You are given string *s* consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.
We'll call a non-empty string *s*[*p*1*p*2... *p**k*] = *s**p*1*s**p*2... *s**p**k* (1 <=≤<= *p*1<=<<=*p*2<=<<=...<=<<=*p**k* <=≤<= |*s*|) a subsequence of string *s* = *s*1*s*2... *s*|*s*|, where |*s*| is the length of string *s*. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".
String *x* = *x*1*x*2... *x*|*x*| is lexicographically larger than string *y* = *y*1*y*2... *y*|*y*| if either |*x*| > |*y*| and *x*1<==<=*y*1, *x*2<==<=*y*2, ...,<=*x*|*y*|<==<=*y*|*y*|, or there exists such number *r* (*r*<=<<=|*x*|, *r*<=<<=|*y*|) that *x*1<==<=*y*1, *x*2<==<=*y*2, ..., *x**r*<==<=*y**r* and *x**r*<=<=+<=<=1<=><=*y**r*<=<=+<=<=1. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".
String *s* = *s*1*s*2... *s*|*s*| is a palindrome if it matches string *rev*(*s*) = *s*|*s*|*s*|*s*|<=-<=1... *s*1. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".
Input Specification:
The only input line contains a non-empty string *s* consisting of lowercase English letters only. Its length does not exceed 10.
Output Specification:
Print the lexicographically largest palindromic subsequence of string *s*.
Demo Input:
['radar\n', 'bowwowwow\n', 'codeforces\n', 'mississipp\n']
Demo Output:
['rr\n', 'wwwww\n', 's\n', 'ssss\n']
Note:
Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".
|
```python
import sys
def main():
s = sys.stdin.read().strip()
return max(s)*s.count(max(s))
print(main())
```
| 3
|
|
285
|
C
|
Building Permutation
|
PROGRAMMING
| 1,200
|
[
"greedy",
"implementation",
"sortings"
] | null | null |
Permutation *p* is an ordered set of integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. We'll denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size or the length of permutation *p*1,<=<=*p*2,<=<=...,<=<=*p**n*.
You have a sequence of integers *a*1,<=*a*2,<=...,<=*a**n*. In one move, you are allowed to decrease or increase any number by one. Count the minimum number of moves, needed to build a permutation from this sequence.
|
The first line contains integer *n* (1<=≤<=*n*<=≤<=3·105) — the size of the sought permutation. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109).
|
Print a single number — the minimum number of moves.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
|
[
"2\n3 0\n",
"3\n-1 -1 2\n"
] |
[
"2\n",
"6\n"
] |
In the first sample you should decrease the first number by one and then increase the second number by one. The resulting permutation is (2, 1).
In the second sample you need 6 moves to build permutation (1, 3, 2).
| 1,500
|
[
{
"input": "2\n3 0",
"output": "2"
},
{
"input": "3\n-1 -1 2",
"output": "6"
},
{
"input": "5\n-3 5 -3 3 3",
"output": "10"
},
{
"input": "10\n9 6 -2 4 1 1 1 9 6 2",
"output": "18"
},
{
"input": "9\n2 0 0 6 5 4 1 9 3",
"output": "15"
},
{
"input": "100\n-77 57 -95 -23 53 -28 82 -83 38 -73 85 28 25 6 -43 4 -10 -30 -9 -92 14 34 -93 61 36 -100 90 -68 28 16 100 -3 97 30 36 -55 62 -62 53 74 -50 -23 67 11 22 -30 -19 83 7 84 43 90 -65 -75 -15 97 90 15 66 2 13 -91 91 -44 46 51 51 -58 95 77 20 30 76 79 91 60 76 2 82 42 -93 94 -57 88 65 -95 -66 100 -9 33 -67 54 -99 97 53 13 54 66 60 -48",
"output": "3459"
}
] | 1,634,584,710
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 33
| 358
| 23,961,600
|
n = int(input())
A = list(map(int, input().split()))
A.sort()
ans = 0
for i in range(len(A)):
ans += abs(i + 1 - A[i])
print(ans)
|
Title: Building Permutation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Permutation *p* is an ordered set of integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. We'll denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size or the length of permutation *p*1,<=<=*p*2,<=<=...,<=<=*p**n*.
You have a sequence of integers *a*1,<=*a*2,<=...,<=*a**n*. In one move, you are allowed to decrease or increase any number by one. Count the minimum number of moves, needed to build a permutation from this sequence.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=3·105) — the size of the sought permutation. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109).
Output Specification:
Print a single number — the minimum number of moves.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Demo Input:
['2\n3 0\n', '3\n-1 -1 2\n']
Demo Output:
['2\n', '6\n']
Note:
In the first sample you should decrease the first number by one and then increase the second number by one. The resulting permutation is (2, 1).
In the second sample you need 6 moves to build permutation (1, 3, 2).
|
```python
n = int(input())
A = list(map(int, input().split()))
A.sort()
ans = 0
for i in range(len(A)):
ans += abs(i + 1 - A[i])
print(ans)
```
| 3
|
|
602
|
A
|
Two Bases
|
PROGRAMMING
| 1,100
|
[
"brute force",
"implementation"
] | null | null |
After seeing the "ALL YOUR BASE ARE BELONG TO US" meme for the first time, numbers *X* and *Y* realised that they have different bases, which complicated their relations.
You're given a number *X* represented in base *b**x* and a number *Y* represented in base *b**y*. Compare those two numbers.
|
The first line of the input contains two space-separated integers *n* and *b**x* (1<=≤<=*n*<=≤<=10, 2<=≤<=*b**x*<=≤<=40), where *n* is the number of digits in the *b**x*-based representation of *X*.
The second line contains *n* space-separated integers *x*1,<=*x*2,<=...,<=*x**n* (0<=≤<=*x**i*<=<<=*b**x*) — the digits of *X*. They are given in the order from the most significant digit to the least significant one.
The following two lines describe *Y* in the same way: the third line contains two space-separated integers *m* and *b**y* (1<=≤<=*m*<=≤<=10, 2<=≤<=*b**y*<=≤<=40, *b**x*<=≠<=*b**y*), where *m* is the number of digits in the *b**y*-based representation of *Y*, and the fourth line contains *m* space-separated integers *y*1,<=*y*2,<=...,<=*y**m* (0<=≤<=*y**i*<=<<=*b**y*) — the digits of *Y*.
There will be no leading zeroes. Both *X* and *Y* will be positive. All digits of both numbers are given in the standard decimal numeral system.
|
Output a single character (quotes for clarity):
- '<' if *X*<=<<=*Y* - '>' if *X*<=><=*Y* - '=' if *X*<==<=*Y*
|
[
"6 2\n1 0 1 1 1 1\n2 10\n4 7\n",
"3 3\n1 0 2\n2 5\n2 4\n",
"7 16\n15 15 4 0 0 7 10\n7 9\n4 8 0 3 1 5 0\n"
] |
[
"=\n",
"<\n",
">\n"
] |
In the first sample, *X* = 101111<sub class="lower-index">2</sub> = 47<sub class="lower-index">10</sub> = *Y*.
In the second sample, *X* = 102<sub class="lower-index">3</sub> = 21<sub class="lower-index">5</sub> and *Y* = 24<sub class="lower-index">5</sub> = 112<sub class="lower-index">3</sub>, thus *X* < *Y*.
In the third sample, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/603a342b0ae3e56fed542d1c50c0a5ff6ce2cbaa.png" style="max-width: 100.0%;max-height: 100.0%;"/> and *Y* = 4803150<sub class="lower-index">9</sub>. We may notice that *X* starts with much larger digits and *b*<sub class="lower-index">*x*</sub> is much larger than *b*<sub class="lower-index">*y*</sub>, so *X* is clearly larger than *Y*.
| 500
|
[
{
"input": "6 2\n1 0 1 1 1 1\n2 10\n4 7",
"output": "="
},
{
"input": "3 3\n1 0 2\n2 5\n2 4",
"output": "<"
},
{
"input": "7 16\n15 15 4 0 0 7 10\n7 9\n4 8 0 3 1 5 0",
"output": ">"
},
{
"input": "2 2\n1 0\n2 3\n1 0",
"output": "<"
},
{
"input": "2 2\n1 0\n1 3\n1",
"output": ">"
},
{
"input": "10 2\n1 0 1 0 1 0 1 0 1 0\n10 3\n2 2 2 2 2 2 2 2 2 2",
"output": "<"
},
{
"input": "10 16\n15 15 4 0 0 0 0 7 10 9\n7 9\n4 8 0 3 1 5 0",
"output": ">"
},
{
"input": "5 5\n4 4 4 4 4\n4 6\n5 5 5 5",
"output": ">"
},
{
"input": "2 8\n1 0\n4 2\n1 0 0 0",
"output": "="
},
{
"input": "5 2\n1 0 0 0 1\n6 8\n1 4 7 2 0 0",
"output": "<"
},
{
"input": "6 7\n1 1 2 1 2 1\n6 6\n2 3 2 2 2 2",
"output": "="
},
{
"input": "9 35\n34 3 20 29 27 30 2 8 5\n7 33\n17 3 22 31 1 11 6",
"output": ">"
},
{
"input": "1 8\n5\n9 27\n23 23 23 23 23 23 23 23 23",
"output": "<"
},
{
"input": "4 7\n3 0 6 6\n3 11\n7 10 10",
"output": ">"
},
{
"input": "1 40\n1\n2 5\n1 0",
"output": "<"
},
{
"input": "1 36\n35\n4 5\n2 4 4 1",
"output": "<"
},
{
"input": "1 30\n1\n1 31\n1",
"output": "="
},
{
"input": "1 3\n1\n1 2\n1",
"output": "="
},
{
"input": "1 2\n1\n1 40\n1",
"output": "="
},
{
"input": "6 29\n1 1 1 1 1 1\n10 21\n1 1 1 1 1 1 1 1 1 1",
"output": "<"
},
{
"input": "3 5\n1 0 0\n3 3\n2 2 2",
"output": "<"
},
{
"input": "2 8\n1 0\n2 3\n2 2",
"output": "="
},
{
"input": "2 4\n3 3\n2 15\n1 0",
"output": "="
},
{
"input": "2 35\n1 0\n2 6\n5 5",
"output": "="
},
{
"input": "2 6\n5 5\n2 34\n1 0",
"output": ">"
},
{
"input": "2 7\n1 0\n2 3\n2 2",
"output": "<"
},
{
"input": "2 2\n1 0\n1 3\n2",
"output": "="
},
{
"input": "2 9\n5 5\n4 3\n1 0 0 0",
"output": ">"
},
{
"input": "1 24\n6\n3 9\n1 1 1",
"output": "<"
},
{
"input": "5 37\n9 9 9 9 9\n6 27\n13 0 0 0 0 0",
"output": "<"
},
{
"input": "10 2\n1 1 1 1 1 1 1 1 1 1\n10 34\n14 14 14 14 14 14 14 14 14 14",
"output": "<"
},
{
"input": "7 26\n8 0 0 0 0 0 0\n9 9\n3 3 3 3 3 3 3 3 3",
"output": ">"
},
{
"input": "2 40\n2 0\n5 13\n4 0 0 0 0",
"output": "<"
},
{
"input": "1 22\n15\n10 14\n3 3 3 3 3 3 3 3 3 3",
"output": "<"
},
{
"input": "10 22\n3 3 3 3 3 3 3 3 3 3\n3 40\n19 19 19",
"output": ">"
},
{
"input": "2 29\n11 11\n6 26\n11 11 11 11 11 11",
"output": "<"
},
{
"input": "5 3\n1 0 0 0 0\n4 27\n1 0 0 0",
"output": "<"
},
{
"input": "10 3\n1 0 0 0 0 0 0 0 0 0\n8 13\n1 0 0 0 0 0 0 0",
"output": "<"
},
{
"input": "4 20\n1 1 1 1\n5 22\n1 1 1 1 1",
"output": "<"
},
{
"input": "10 39\n34 2 24 34 11 6 33 12 22 21\n10 36\n25 35 17 24 30 0 1 32 14 35",
"output": ">"
},
{
"input": "10 39\n35 12 31 35 28 27 25 8 22 25\n10 40\n23 21 18 12 15 29 38 32 4 8",
"output": ">"
},
{
"input": "10 38\n16 19 37 32 16 7 14 33 16 11\n10 39\n10 27 35 15 31 15 17 16 38 35",
"output": ">"
},
{
"input": "10 39\n20 12 10 32 24 14 37 35 10 38\n9 40\n1 13 0 10 22 20 1 5 35",
"output": ">"
},
{
"input": "10 40\n18 1 2 25 28 2 10 2 17 37\n10 39\n37 8 12 8 21 11 23 11 25 21",
"output": "<"
},
{
"input": "9 39\n10 20 16 36 30 29 28 9 8\n9 38\n12 36 10 22 6 3 19 12 34",
"output": "="
},
{
"input": "7 39\n28 16 13 25 19 23 4\n7 38\n33 8 2 19 3 21 14",
"output": "="
},
{
"input": "10 16\n15 15 4 0 0 0 0 7 10 9\n10 9\n4 8 0 3 1 5 4 8 1 0",
"output": ">"
},
{
"input": "7 22\n1 13 9 16 7 13 3\n4 4\n3 0 2 1",
"output": ">"
},
{
"input": "10 29\n10 19 8 27 1 24 13 15 13 26\n2 28\n20 14",
"output": ">"
},
{
"input": "6 16\n2 13 7 13 15 6\n10 22\n17 17 21 9 16 11 4 4 13 17",
"output": "<"
},
{
"input": "8 26\n6 6 17 25 24 8 8 25\n4 27\n24 7 5 24",
"output": ">"
},
{
"input": "10 23\n5 21 4 15 12 7 10 7 16 21\n4 17\n3 11 1 14",
"output": ">"
},
{
"input": "10 21\n4 7 7 2 13 7 19 19 18 19\n3 31\n6 11 28",
"output": ">"
},
{
"input": "1 30\n9\n7 37\n20 11 18 14 0 36 27",
"output": "<"
},
{
"input": "5 35\n22 18 28 29 11\n2 3\n2 0",
"output": ">"
},
{
"input": "7 29\n14 26 14 22 11 11 8\n6 28\n2 12 10 17 0 14",
"output": ">"
},
{
"input": "2 37\n25 2\n3 26\n13 13 12",
"output": "<"
},
{
"input": "8 8\n4 0 4 3 4 1 5 6\n8 24\n19 8 15 6 10 7 2 18",
"output": "<"
},
{
"input": "4 22\n18 16 1 2\n10 26\n23 0 12 24 16 2 24 25 1 11",
"output": "<"
},
{
"input": "7 31\n14 6 16 6 26 18 17\n7 24\n22 10 4 5 14 6 9",
"output": ">"
},
{
"input": "10 29\n15 22 0 5 11 12 17 22 4 27\n4 22\n9 2 8 14",
"output": ">"
},
{
"input": "2 10\n6 0\n10 26\n16 14 8 18 24 4 9 5 22 25",
"output": "<"
},
{
"input": "7 2\n1 0 0 0 1 0 1\n9 6\n1 1 5 1 2 5 3 5 3",
"output": "<"
},
{
"input": "3 9\n2 5 4\n1 19\n15",
"output": ">"
},
{
"input": "6 16\n4 9 13 4 2 8\n4 10\n3 5 2 4",
"output": ">"
},
{
"input": "2 12\n1 4\n8 16\n4 4 10 6 15 10 8 15",
"output": "<"
},
{
"input": "3 19\n9 18 16\n4 10\n4 3 5 4",
"output": "<"
},
{
"input": "7 3\n1 1 2 1 2 0 2\n2 2\n1 0",
"output": ">"
},
{
"input": "3 2\n1 1 1\n1 3\n1",
"output": ">"
},
{
"input": "4 4\n1 3 1 3\n9 3\n1 1 0 1 2 2 2 2 1",
"output": "<"
},
{
"input": "9 3\n1 0 0 1 1 0 0 1 2\n6 4\n1 2 0 1 3 2",
"output": ">"
},
{
"input": "3 5\n1 1 3\n10 4\n3 3 2 3 0 0 0 3 1 1",
"output": "<"
},
{
"input": "6 4\n3 3 2 2 0 2\n6 5\n1 1 1 1 0 3",
"output": ">"
},
{
"input": "6 5\n4 4 4 3 1 3\n7 6\n4 2 2 2 5 0 4",
"output": "<"
},
{
"input": "2 5\n3 3\n6 6\n4 2 0 1 1 0",
"output": "<"
},
{
"input": "10 6\n3 5 4 2 4 2 3 5 4 2\n10 7\n3 2 1 1 3 1 0 3 4 5",
"output": "<"
},
{
"input": "9 7\n2 0 3 2 6 6 1 4 3\n9 6\n4 4 1 1 4 5 5 0 2",
"output": ">"
},
{
"input": "1 7\n2\n4 8\n3 2 3 2",
"output": "<"
},
{
"input": "2 8\n4 1\n1 7\n1",
"output": ">"
},
{
"input": "1 10\n7\n3 9\n2 1 7",
"output": "<"
},
{
"input": "9 9\n2 2 3 6 3 6 3 8 4\n6 10\n4 7 7 0 3 8",
"output": ">"
},
{
"input": "3 11\n6 5 2\n8 10\n5 0 1 8 3 5 1 4",
"output": "<"
},
{
"input": "6 11\n10 6 1 0 2 2\n9 10\n4 3 4 1 1 6 3 4 1",
"output": "<"
},
{
"input": "2 19\n4 8\n8 18\n7 8 6 8 4 11 9 1",
"output": "<"
},
{
"input": "2 24\n20 9\n10 23\n21 10 15 11 6 8 20 16 14 11",
"output": "<"
},
{
"input": "8 36\n23 5 27 1 10 7 26 27\n10 35\n28 33 9 22 10 28 26 4 27 29",
"output": "<"
},
{
"input": "6 37\n22 15 14 10 1 8\n6 36\n18 5 28 10 1 17",
"output": ">"
},
{
"input": "5 38\n1 31 2 21 21\n9 37\n8 36 32 30 13 9 24 2 35",
"output": "<"
},
{
"input": "3 39\n27 4 3\n8 38\n32 15 11 34 35 27 30 15",
"output": "<"
},
{
"input": "2 40\n22 38\n5 39\n8 9 32 4 1",
"output": "<"
},
{
"input": "9 37\n1 35 7 33 20 21 26 24 5\n10 40\n39 4 11 9 33 12 26 32 11 8",
"output": "<"
},
{
"input": "4 39\n13 25 23 35\n6 38\n19 36 20 4 12 33",
"output": "<"
},
{
"input": "5 37\n29 29 5 7 27\n3 39\n13 1 10",
"output": ">"
},
{
"input": "7 28\n1 10 7 0 13 14 11\n6 38\n8 11 27 5 14 35",
"output": "="
},
{
"input": "2 34\n1 32\n2 33\n2 0",
"output": "="
},
{
"input": "7 5\n4 0 4 1 3 0 4\n4 35\n1 18 7 34",
"output": "="
},
{
"input": "9 34\n5 8 4 4 26 1 30 5 24\n10 27\n1 6 3 10 8 13 22 3 12 8",
"output": "="
},
{
"input": "10 36\n1 13 13 23 31 35 5 32 18 21\n9 38\n32 1 20 14 12 37 13 15 23",
"output": "="
},
{
"input": "10 40\n1 1 14 5 6 3 3 11 3 25\n10 39\n1 11 24 33 25 34 38 29 27 33",
"output": "="
},
{
"input": "9 37\n2 6 1 9 19 6 11 28 35\n9 40\n1 6 14 37 1 8 31 4 9",
"output": "="
},
{
"input": "4 5\n1 4 2 0\n4 4\n3 2 2 3",
"output": "="
},
{
"input": "6 4\n1 1 1 2 2 2\n7 3\n1 2 2 0 1 0 0",
"output": "="
},
{
"input": "2 5\n3 3\n5 2\n1 0 0 1 0",
"output": "="
},
{
"input": "1 9\n2\n1 10\n2",
"output": "="
},
{
"input": "6 19\n4 9 14 1 3 1\n8 10\n1 1 1 7 3 7 3 0",
"output": "="
},
{
"input": "7 15\n8 5 8 10 13 6 13\n8 13\n1 6 9 10 12 3 12 8",
"output": "="
},
{
"input": "8 18\n1 1 4 15 7 4 9 3\n8 17\n1 10 2 10 3 11 14 10",
"output": "="
},
{
"input": "8 21\n5 19 0 14 13 13 10 5\n10 13\n1 0 0 6 11 10 8 2 8 1",
"output": "="
},
{
"input": "8 28\n3 1 10 19 10 14 21 15\n8 21\n14 0 18 13 2 1 18 6",
"output": ">"
},
{
"input": "7 34\n21 22 28 16 30 4 27\n7 26\n5 13 21 10 8 12 10",
"output": ">"
},
{
"input": "6 26\n7 6 4 18 6 1\n6 25\n5 3 11 1 8 15",
"output": ">"
},
{
"input": "10 31\n6 27 17 22 14 16 25 9 13 26\n10 39\n6 1 3 26 12 32 28 19 9 19",
"output": "<"
},
{
"input": "3 5\n2 2 3\n3 6\n4 3 5",
"output": "<"
},
{
"input": "2 24\n4 18\n2 40\n29 24",
"output": "<"
},
{
"input": "5 38\n2 24 34 14 17\n8 34\n4 24 31 2 14 15 8 15",
"output": "<"
},
{
"input": "9 40\n39 39 39 39 39 39 39 39 39\n6 35\n34 34 34 34 34 34",
"output": ">"
},
{
"input": "10 40\n39 39 39 39 39 39 39 39 39 39\n10 8\n7 7 7 7 7 7 7 7 7 7",
"output": ">"
},
{
"input": "10 40\n39 39 39 39 39 39 39 39 39 39\n10 39\n38 38 38 38 38 38 38 38 38 38",
"output": ">"
}
] | 1,458,098,254
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 118
| 77
| 0
|
ans=[]
for i in range(2):
(n,b),data=map(int,input().split()),list(map(int, input().split()))
data.reverse();
t=0
j=0
for i in range(n):
t+=data[i]*(b**j)
j+=1
ans.append(t)
# print(ans[0],"...",ans[1])
if ans[0]>ans[1]:
print(">")
elif ans[0]<ans[1]:
print("<")
else:
print("=")
|
Title: Two Bases
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
After seeing the "ALL YOUR BASE ARE BELONG TO US" meme for the first time, numbers *X* and *Y* realised that they have different bases, which complicated their relations.
You're given a number *X* represented in base *b**x* and a number *Y* represented in base *b**y*. Compare those two numbers.
Input Specification:
The first line of the input contains two space-separated integers *n* and *b**x* (1<=≤<=*n*<=≤<=10, 2<=≤<=*b**x*<=≤<=40), where *n* is the number of digits in the *b**x*-based representation of *X*.
The second line contains *n* space-separated integers *x*1,<=*x*2,<=...,<=*x**n* (0<=≤<=*x**i*<=<<=*b**x*) — the digits of *X*. They are given in the order from the most significant digit to the least significant one.
The following two lines describe *Y* in the same way: the third line contains two space-separated integers *m* and *b**y* (1<=≤<=*m*<=≤<=10, 2<=≤<=*b**y*<=≤<=40, *b**x*<=≠<=*b**y*), where *m* is the number of digits in the *b**y*-based representation of *Y*, and the fourth line contains *m* space-separated integers *y*1,<=*y*2,<=...,<=*y**m* (0<=≤<=*y**i*<=<<=*b**y*) — the digits of *Y*.
There will be no leading zeroes. Both *X* and *Y* will be positive. All digits of both numbers are given in the standard decimal numeral system.
Output Specification:
Output a single character (quotes for clarity):
- '<' if *X*<=<<=*Y* - '>' if *X*<=><=*Y* - '=' if *X*<==<=*Y*
Demo Input:
['6 2\n1 0 1 1 1 1\n2 10\n4 7\n', '3 3\n1 0 2\n2 5\n2 4\n', '7 16\n15 15 4 0 0 7 10\n7 9\n4 8 0 3 1 5 0\n']
Demo Output:
['=\n', '<\n', '>\n']
Note:
In the first sample, *X* = 101111<sub class="lower-index">2</sub> = 47<sub class="lower-index">10</sub> = *Y*.
In the second sample, *X* = 102<sub class="lower-index">3</sub> = 21<sub class="lower-index">5</sub> and *Y* = 24<sub class="lower-index">5</sub> = 112<sub class="lower-index">3</sub>, thus *X* < *Y*.
In the third sample, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/603a342b0ae3e56fed542d1c50c0a5ff6ce2cbaa.png" style="max-width: 100.0%;max-height: 100.0%;"/> and *Y* = 4803150<sub class="lower-index">9</sub>. We may notice that *X* starts with much larger digits and *b*<sub class="lower-index">*x*</sub> is much larger than *b*<sub class="lower-index">*y*</sub>, so *X* is clearly larger than *Y*.
|
```python
ans=[]
for i in range(2):
(n,b),data=map(int,input().split()),list(map(int, input().split()))
data.reverse();
t=0
j=0
for i in range(n):
t+=data[i]*(b**j)
j+=1
ans.append(t)
# print(ans[0],"...",ans[1])
if ans[0]>ans[1]:
print(">")
elif ans[0]<ans[1]:
print("<")
else:
print("=")
```
| 3
|
|
580
|
C
|
Kefa and Park
|
PROGRAMMING
| 1,500
|
[
"dfs and similar",
"graphs",
"trees"
] | null | null |
Kefa decided to celebrate his first big salary by going to the restaurant.
He lives by an unusual park. The park is a rooted tree consisting of *n* vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our hero, the park also contains cats. Kefa has already found out what are the vertices with cats in them.
The leaf vertices of the park contain restaurants. Kefa wants to choose a restaurant where he will go, but unfortunately he is very afraid of cats, so there is no way he will go to the restaurant if the path from the restaurant to his house contains more than *m* consecutive vertices with cats.
Your task is to help Kefa count the number of restaurants where he can go.
|
The first line contains two integers, *n* and *m* (2<=≤<=*n*<=≤<=105, 1<=≤<=*m*<=≤<=*n*) — the number of vertices of the tree and the maximum number of consecutive vertices with cats that is still ok for Kefa.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n*, where each *a**i* either equals to 0 (then vertex *i* has no cat), or equals to 1 (then vertex *i* has a cat).
Next *n*<=-<=1 lines contains the edges of the tree in the format "*x**i* *y**i*" (without the quotes) (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*, *x**i*<=≠<=*y**i*), where *x**i* and *y**i* are the vertices of the tree, connected by an edge.
It is guaranteed that the given set of edges specifies a tree.
|
A single integer — the number of distinct leaves of a tree the path to which from Kefa's home contains at most *m* consecutive vertices with cats.
|
[
"4 1\n1 1 0 0\n1 2\n1 3\n1 4\n",
"7 1\n1 0 1 1 0 0 0\n1 2\n1 3\n2 4\n2 5\n3 6\n3 7\n"
] |
[
"2\n",
"2\n"
] |
Let us remind you that a tree is a connected graph on *n* vertices and *n* - 1 edge. A rooted tree is a tree with a special vertex called root. In a rooted tree among any two vertices connected by an edge, one vertex is a parent (the one closer to the root), and the other one is a child. A vertex is called a leaf, if it has no children.
Note to the first sample test: <img class="tex-graphics" src="https://espresso.codeforces.com/785114b4b3f5336f02078c25750f87c5a1d0b4be.png" style="max-width: 100.0%;max-height: 100.0%;"/> The vertices containing cats are marked red. The restaurants are at vertices 2, 3, 4. Kefa can't go only to the restaurant located at vertex 2.
Note to the second sample test: <img class="tex-graphics" src="https://espresso.codeforces.com/e5c07640680c837aec99126d94287872e69aa09a.png" style="max-width: 100.0%;max-height: 100.0%;"/> The restaurants are located at vertices 4, 5, 6, 7. Kefa can't go to restaurants 6, 7.
| 1,500
|
[
{
"input": "4 1\n1 1 0 0\n1 2\n1 3\n1 4",
"output": "2"
},
{
"input": "7 1\n1 0 1 1 0 0 0\n1 2\n1 3\n2 4\n2 5\n3 6\n3 7",
"output": "2"
},
{
"input": "3 2\n1 1 1\n1 2\n2 3",
"output": "0"
},
{
"input": "5 2\n1 1 0 1 1\n1 2\n2 3\n3 4\n4 5",
"output": "1"
},
{
"input": "6 1\n1 0 1 1 0 0\n1 2\n1 3\n1 4\n1 5\n1 6",
"output": "3"
},
{
"input": "7 3\n1 1 1 1 1 0 1\n1 2\n1 3\n2 4\n3 5\n5 6\n6 7",
"output": "2"
},
{
"input": "15 2\n1 0 1 0 1 0 0 0 0 0 0 0 0 0 0\n1 2\n1 3\n2 4\n2 5\n3 6\n3 7\n4 8\n4 9\n5 10\n5 11\n6 12\n6 13\n7 14\n7 15",
"output": "8"
},
{
"input": "2 1\n1 1\n2 1",
"output": "0"
},
{
"input": "12 3\n1 0 1 0 1 1 1 1 0 0 0 0\n6 7\n12 1\n9 7\n1 4\n10 7\n7 1\n11 8\n5 1\n3 7\n5 8\n4 2",
"output": "7"
}
] | 1,686,060,412
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 40
| 904
| 32,460,800
|
from collections import deque
count = 0
graph = dict()
n, m = map(int, input().split())
cats = list(map(int, input().split()))
available = [True] * (n+1)
for i in range(1, n+1):
graph[i] = []
for link in range(n-1):
r, l = map(int, input().split())
graph[l].append(r)
graph[r].append(l)
queue = deque()
queue += [[1, cats[0]]]
while queue:
cur, cat = queue.popleft()
available[cur] = False
if cat <= m:
if len(graph[cur]) == 1 and cur!= 1:
count += 1
for i in graph[cur]:
if available[i]:
if cats[i-1] == 0:
queue += [[i, 0]]
elif cats[i-1] == 1:
queue += [[i, cat+1]]
print(count)
|
Title: Kefa and Park
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kefa decided to celebrate his first big salary by going to the restaurant.
He lives by an unusual park. The park is a rooted tree consisting of *n* vertices with the root at vertex 1. Vertex 1 also contains Kefa's house. Unfortunaely for our hero, the park also contains cats. Kefa has already found out what are the vertices with cats in them.
The leaf vertices of the park contain restaurants. Kefa wants to choose a restaurant where he will go, but unfortunately he is very afraid of cats, so there is no way he will go to the restaurant if the path from the restaurant to his house contains more than *m* consecutive vertices with cats.
Your task is to help Kefa count the number of restaurants where he can go.
Input Specification:
The first line contains two integers, *n* and *m* (2<=≤<=*n*<=≤<=105, 1<=≤<=*m*<=≤<=*n*) — the number of vertices of the tree and the maximum number of consecutive vertices with cats that is still ok for Kefa.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n*, where each *a**i* either equals to 0 (then vertex *i* has no cat), or equals to 1 (then vertex *i* has a cat).
Next *n*<=-<=1 lines contains the edges of the tree in the format "*x**i* *y**i*" (without the quotes) (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*, *x**i*<=≠<=*y**i*), where *x**i* and *y**i* are the vertices of the tree, connected by an edge.
It is guaranteed that the given set of edges specifies a tree.
Output Specification:
A single integer — the number of distinct leaves of a tree the path to which from Kefa's home contains at most *m* consecutive vertices with cats.
Demo Input:
['4 1\n1 1 0 0\n1 2\n1 3\n1 4\n', '7 1\n1 0 1 1 0 0 0\n1 2\n1 3\n2 4\n2 5\n3 6\n3 7\n']
Demo Output:
['2\n', '2\n']
Note:
Let us remind you that a tree is a connected graph on *n* vertices and *n* - 1 edge. A rooted tree is a tree with a special vertex called root. In a rooted tree among any two vertices connected by an edge, one vertex is a parent (the one closer to the root), and the other one is a child. A vertex is called a leaf, if it has no children.
Note to the first sample test: <img class="tex-graphics" src="https://espresso.codeforces.com/785114b4b3f5336f02078c25750f87c5a1d0b4be.png" style="max-width: 100.0%;max-height: 100.0%;"/> The vertices containing cats are marked red. The restaurants are at vertices 2, 3, 4. Kefa can't go only to the restaurant located at vertex 2.
Note to the second sample test: <img class="tex-graphics" src="https://espresso.codeforces.com/e5c07640680c837aec99126d94287872e69aa09a.png" style="max-width: 100.0%;max-height: 100.0%;"/> The restaurants are located at vertices 4, 5, 6, 7. Kefa can't go to restaurants 6, 7.
|
```python
from collections import deque
count = 0
graph = dict()
n, m = map(int, input().split())
cats = list(map(int, input().split()))
available = [True] * (n+1)
for i in range(1, n+1):
graph[i] = []
for link in range(n-1):
r, l = map(int, input().split())
graph[l].append(r)
graph[r].append(l)
queue = deque()
queue += [[1, cats[0]]]
while queue:
cur, cat = queue.popleft()
available[cur] = False
if cat <= m:
if len(graph[cur]) == 1 and cur!= 1:
count += 1
for i in graph[cur]:
if available[i]:
if cats[i-1] == 0:
queue += [[i, 0]]
elif cats[i-1] == 1:
queue += [[i, cat+1]]
print(count)
```
| 3
|
|
975
|
A
|
Aramic script
|
PROGRAMMING
| 900
|
[
"implementation",
"strings"
] | null | null |
In Aramic language words can only represent objects.
Words in Aramic have special properties:
- A word is a root if it does not contain the same letter more than once. - A root and all its permutations represent the same object. - The root $x$ of a word $y$ is the word that contains all letters that appear in $y$ in a way that each letter appears once. For example, the root of "aaaa", "aa", "aaa" is "a", the root of "aabb", "bab", "baabb", "ab" is "ab". - Any word in Aramic represents the same object as its root.
You have an ancient script in Aramic. What is the number of different objects mentioned in the script?
|
The first line contains one integer $n$ ($1 \leq n \leq 10^3$) — the number of words in the script.
The second line contains $n$ words $s_1, s_2, \ldots, s_n$ — the script itself. The length of each string does not exceed $10^3$.
It is guaranteed that all characters of the strings are small latin letters.
|
Output one integer — the number of different objects mentioned in the given ancient Aramic script.
|
[
"5\na aa aaa ab abb\n",
"3\namer arem mrea\n"
] |
[
"2",
"1"
] |
In the first test, there are two objects mentioned. The roots that represent them are "a","ab".
In the second test, there is only one object, its root is "amer", the other strings are just permutations of "amer".
| 500
|
[
{
"input": "5\na aa aaa ab abb",
"output": "2"
},
{
"input": "3\namer arem mrea",
"output": "1"
},
{
"input": "10\nbda bbb cda dca dda dcb bcd dcb ada ddd",
"output": "6"
},
{
"input": "2\nfhjlqs aceginpr",
"output": "2"
},
{
"input": "2\nbcdfghimn efghijlmo",
"output": "2"
}
] | 1,525,975,011
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 30
| 124
| 10,137,600
|
n = int(input())
w = input().split()
w2 = []
for i in range(len(w)):
w[i] = set(w[i])
i = 0
j = 0
for item in w:
w2.append(''.join(sorted(list(item))))
print(len(set(w2)))
|
Title: Aramic script
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In Aramic language words can only represent objects.
Words in Aramic have special properties:
- A word is a root if it does not contain the same letter more than once. - A root and all its permutations represent the same object. - The root $x$ of a word $y$ is the word that contains all letters that appear in $y$ in a way that each letter appears once. For example, the root of "aaaa", "aa", "aaa" is "a", the root of "aabb", "bab", "baabb", "ab" is "ab". - Any word in Aramic represents the same object as its root.
You have an ancient script in Aramic. What is the number of different objects mentioned in the script?
Input Specification:
The first line contains one integer $n$ ($1 \leq n \leq 10^3$) — the number of words in the script.
The second line contains $n$ words $s_1, s_2, \ldots, s_n$ — the script itself. The length of each string does not exceed $10^3$.
It is guaranteed that all characters of the strings are small latin letters.
Output Specification:
Output one integer — the number of different objects mentioned in the given ancient Aramic script.
Demo Input:
['5\na aa aaa ab abb\n', '3\namer arem mrea\n']
Demo Output:
['2', '1']
Note:
In the first test, there are two objects mentioned. The roots that represent them are "a","ab".
In the second test, there is only one object, its root is "amer", the other strings are just permutations of "amer".
|
```python
n = int(input())
w = input().split()
w2 = []
for i in range(len(w)):
w[i] = set(w[i])
i = 0
j = 0
for item in w:
w2.append(''.join(sorted(list(item))))
print(len(set(w2)))
```
| 3
|
|
760
|
B
|
Frodo and pillows
|
PROGRAMMING
| 1,500
|
[
"binary search",
"greedy"
] | null | null |
*n* hobbits are planning to spend the night at Frodo's house. Frodo has *n* beds standing in a row and *m* pillows (*n*<=≤<=*m*). Each hobbit needs a bed and at least one pillow to sleep, however, everyone wants as many pillows as possible. Of course, it's not always possible to share pillows equally, but any hobbit gets hurt if he has at least two pillows less than some of his neighbors have.
Frodo will sleep on the *k*-th bed in the row. What is the maximum number of pillows he can have so that every hobbit has at least one pillow, every pillow is given to some hobbit and no one is hurt?
|
The only line contain three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=*m*<=≤<=109, 1<=≤<=*k*<=≤<=*n*) — the number of hobbits, the number of pillows and the number of Frodo's bed.
|
Print single integer — the maximum number of pillows Frodo can have so that no one is hurt.
|
[
"4 6 2\n",
"3 10 3\n",
"3 6 1\n"
] |
[
"2\n",
"4\n",
"3\n"
] |
In the first example Frodo can have at most two pillows. In this case, he can give two pillows to the hobbit on the first bed, and one pillow to each of the hobbits on the third and the fourth beds.
In the second example Frodo can take at most four pillows, giving three pillows to each of the others.
In the third example Frodo can take three pillows, giving two pillows to the hobbit in the middle and one pillow to the hobbit on the third bed.
| 1,000
|
[
{
"input": "4 6 2",
"output": "2"
},
{
"input": "3 10 3",
"output": "4"
},
{
"input": "3 6 1",
"output": "3"
},
{
"input": "3 3 3",
"output": "1"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "1 1000000000 1",
"output": "1000000000"
},
{
"input": "100 1000000000 20",
"output": "10000034"
},
{
"input": "1000 1000 994",
"output": "1"
},
{
"input": "100000000 200000000 54345",
"output": "10001"
},
{
"input": "1000000000 1000000000 1",
"output": "1"
},
{
"input": "1000000000 1000000000 1000000000",
"output": "1"
},
{
"input": "1000000000 1000000000 500000000",
"output": "1"
},
{
"input": "1000 1000 3",
"output": "1"
},
{
"input": "100000000 200020000 54345",
"output": "10001"
},
{
"input": "100 108037 18",
"output": "1115"
},
{
"input": "100000000 200020001 54345",
"output": "10002"
},
{
"input": "200 6585 2",
"output": "112"
},
{
"input": "30000 30593 5980",
"output": "25"
},
{
"input": "40000 42107 10555",
"output": "46"
},
{
"input": "50003 50921 192",
"output": "31"
},
{
"input": "100000 113611 24910",
"output": "117"
},
{
"input": "1000000 483447163 83104",
"output": "21965"
},
{
"input": "10000000 10021505 600076",
"output": "147"
},
{
"input": "100000000 102144805 2091145",
"output": "1465"
},
{
"input": "1000000000 1000000000 481982093",
"output": "1"
},
{
"input": "100 999973325 5",
"output": "9999778"
},
{
"input": "200 999999109 61",
"output": "5000053"
},
{
"input": "30000 999999384 5488",
"output": "43849"
},
{
"input": "40000 999997662 8976",
"output": "38038"
},
{
"input": "50003 999999649 405",
"output": "44320"
},
{
"input": "100000 999899822 30885",
"output": "31624"
},
{
"input": "1000000 914032367 528790",
"output": "30217"
},
{
"input": "10000000 999617465 673112",
"output": "31459"
},
{
"input": "100000000 993180275 362942",
"output": "29887"
},
{
"input": "1000000000 1000000000 331431458",
"output": "1"
},
{
"input": "100 10466 89",
"output": "144"
},
{
"input": "200 5701 172",
"output": "84"
},
{
"input": "30000 36932 29126",
"output": "84"
},
{
"input": "40000 40771 22564",
"output": "28"
},
{
"input": "50003 51705 49898",
"output": "42"
},
{
"input": "100000 149408 74707",
"output": "223"
},
{
"input": "1000000 194818222 998601",
"output": "18389"
},
{
"input": "10000000 10748901 8882081",
"output": "866"
},
{
"input": "100000000 106296029 98572386",
"output": "2510"
},
{
"input": "1000000000 1000000000 193988157",
"output": "1"
},
{
"input": "100 999981057 92",
"output": "9999852"
},
{
"input": "200 999989691 199",
"output": "5000046"
},
{
"input": "30000 999995411 24509",
"output": "43846"
},
{
"input": "40000 999998466 30827",
"output": "37930"
},
{
"input": "50003 999997857 48387",
"output": "43163"
},
{
"input": "100000 999731886 98615",
"output": "43371"
},
{
"input": "1000000 523220797 654341",
"output": "22853"
},
{
"input": "10000000 999922591 8157724",
"output": "31464"
},
{
"input": "100000000 999834114 93836827",
"output": "29998"
},
{
"input": "1000000000 1000000000 912549504",
"output": "1"
},
{
"input": "1000 97654978 234",
"output": "97976"
},
{
"input": "1000 97654977 234",
"output": "97975"
},
{
"input": "1000234 97653889 1",
"output": "13903"
},
{
"input": "1000234 97653890 1",
"output": "13904"
},
{
"input": "3450234 97656670 3000000",
"output": "9707"
},
{
"input": "3450234 97656669 3000000",
"output": "9706"
},
{
"input": "3 1000000000 2",
"output": "333333334"
},
{
"input": "2 1000000000 1",
"output": "500000000"
},
{
"input": "2 1000000000 2",
"output": "500000000"
},
{
"input": "3 1000000000 1",
"output": "333333334"
},
{
"input": "3 1000000000 3",
"output": "333333334"
},
{
"input": "2 999999999 1",
"output": "500000000"
},
{
"input": "2 999999999 2",
"output": "500000000"
},
{
"input": "1 999999999 1",
"output": "999999999"
}
] | 1,675,596,931
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 69
| 108
| 0
|
import sys, os, io
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
def binary_search(c1, c2):
m = (c1 + c2 + 1) // 2
while abs(c1 - c2) > 1:
m = (c1 + c2 + 1) // 2
if ok(m):
c1 = m
else:
c2 = m
m += 1
while not ok(m):
m -= 1
return m
def ok(u):
if u <= 1:
return True
x = m - n - u + 1
if x < 0:
return False
x -= (u - 1) * (u - 2)
v = max(u - l - 2, 0)
x += v * (v + 1) // 2
v = max(u - r - 2, 0)
x += v * (v + 1) // 2
return True if x >= 0 else False
n, m, k = map(int, input().split())
l, r = k - 1, n - k
ans = binary_search(0, m)
print(ans)
|
Title: Frodo and pillows
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
*n* hobbits are planning to spend the night at Frodo's house. Frodo has *n* beds standing in a row and *m* pillows (*n*<=≤<=*m*). Each hobbit needs a bed and at least one pillow to sleep, however, everyone wants as many pillows as possible. Of course, it's not always possible to share pillows equally, but any hobbit gets hurt if he has at least two pillows less than some of his neighbors have.
Frodo will sleep on the *k*-th bed in the row. What is the maximum number of pillows he can have so that every hobbit has at least one pillow, every pillow is given to some hobbit and no one is hurt?
Input Specification:
The only line contain three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=*m*<=≤<=109, 1<=≤<=*k*<=≤<=*n*) — the number of hobbits, the number of pillows and the number of Frodo's bed.
Output Specification:
Print single integer — the maximum number of pillows Frodo can have so that no one is hurt.
Demo Input:
['4 6 2\n', '3 10 3\n', '3 6 1\n']
Demo Output:
['2\n', '4\n', '3\n']
Note:
In the first example Frodo can have at most two pillows. In this case, he can give two pillows to the hobbit on the first bed, and one pillow to each of the hobbits on the third and the fourth beds.
In the second example Frodo can take at most four pillows, giving three pillows to each of the others.
In the third example Frodo can take three pillows, giving two pillows to the hobbit in the middle and one pillow to the hobbit on the third bed.
|
```python
import sys, os, io
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
def binary_search(c1, c2):
m = (c1 + c2 + 1) // 2
while abs(c1 - c2) > 1:
m = (c1 + c2 + 1) // 2
if ok(m):
c1 = m
else:
c2 = m
m += 1
while not ok(m):
m -= 1
return m
def ok(u):
if u <= 1:
return True
x = m - n - u + 1
if x < 0:
return False
x -= (u - 1) * (u - 2)
v = max(u - l - 2, 0)
x += v * (v + 1) // 2
v = max(u - r - 2, 0)
x += v * (v + 1) // 2
return True if x >= 0 else False
n, m, k = map(int, input().split())
l, r = k - 1, n - k
ans = binary_search(0, m)
print(ans)
```
| 3
|
|
510
|
A
|
Fox And Snake
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.
A snake is a pattern on a *n* by *m* table. Denote *c*-th cell of *r*-th row as (*r*,<=*c*). The tail of the snake is located at (1,<=1), then it's body extends to (1,<=*m*), then goes down 2 rows to (3,<=*m*), then goes left to (3,<=1) and so on.
Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').
Consider sample tests in order to understand the snake pattern.
|
The only line contains two integers: *n* and *m* (3<=≤<=*n*,<=*m*<=≤<=50).
*n* is an odd number.
|
Output *n* lines. Each line should contain a string consisting of *m* characters. Do not output spaces.
|
[
"3 3\n",
"3 4\n",
"5 3\n",
"9 9\n"
] |
[
"###\n..#\n###\n",
"####\n...#\n####\n",
"###\n..#\n###\n#..\n###\n",
"#########\n........#\n#########\n#........\n#########\n........#\n#########\n#........\n#########\n"
] |
none
| 500
|
[
{
"input": "3 3",
"output": "###\n..#\n###"
},
{
"input": "3 4",
"output": "####\n...#\n####"
},
{
"input": "5 3",
"output": "###\n..#\n###\n#..\n###"
},
{
"input": "9 9",
"output": "#########\n........#\n#########\n#........\n#########\n........#\n#########\n#........\n#########"
},
{
"input": "3 5",
"output": "#####\n....#\n#####"
},
{
"input": "3 6",
"output": "######\n.....#\n######"
},
{
"input": "7 3",
"output": "###\n..#\n###\n#..\n###\n..#\n###"
},
{
"input": "7 4",
"output": "####\n...#\n####\n#...\n####\n...#\n####"
},
{
"input": "49 50",
"output": "##################################################\n.................................................#\n##################################################\n#.................................................\n##################################################\n.................................................#\n##################################################\n#.................................................\n##################################################\n.............................................."
},
{
"input": "43 50",
"output": "##################################################\n.................................................#\n##################################################\n#.................................................\n##################################################\n.................................................#\n##################################################\n#.................................................\n##################################################\n.............................................."
},
{
"input": "43 27",
"output": "###########################\n..........................#\n###########################\n#..........................\n###########################\n..........................#\n###########################\n#..........................\n###########################\n..........................#\n###########################\n#..........................\n###########################\n..........................#\n###########################\n#..........................\n###########################\n....................."
},
{
"input": "11 15",
"output": "###############\n..............#\n###############\n#..............\n###############\n..............#\n###############\n#..............\n###############\n..............#\n###############"
},
{
"input": "11 3",
"output": "###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###"
},
{
"input": "19 3",
"output": "###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###"
},
{
"input": "23 50",
"output": "##################################################\n.................................................#\n##################################################\n#.................................................\n##################################################\n.................................................#\n##################################################\n#.................................................\n##################################################\n.............................................."
},
{
"input": "49 49",
"output": "#################################################\n................................................#\n#################################################\n#................................................\n#################################################\n................................................#\n#################################################\n#................................................\n#################################################\n................................................#\n#..."
},
{
"input": "33 43",
"output": "###########################################\n..........................................#\n###########################################\n#..........................................\n###########################################\n..........................................#\n###########################################\n#..........................................\n###########################################\n..........................................#\n###########################################\n#.................."
},
{
"input": "33 44",
"output": "############################################\n...........................................#\n############################################\n#...........................................\n############################################\n...........................................#\n############################################\n#...........................................\n############################################\n...........................................#\n############################################\n#......."
},
{
"input": "45 45",
"output": "#############################################\n............................................#\n#############################################\n#............................................\n#############################################\n............................................#\n#############################################\n#............................................\n#############################################\n............................................#\n#########################################..."
},
{
"input": "45 49",
"output": "#################################################\n................................................#\n#################################################\n#................................................\n#################################################\n................................................#\n#################################################\n#................................................\n#################################################\n................................................#\n#..."
},
{
"input": "45 3",
"output": "###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###\n..#\n###\n#..\n###"
},
{
"input": "45 4",
"output": "####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####\n...#\n####\n#...\n####"
},
{
"input": "5 4",
"output": "####\n...#\n####\n#...\n####"
},
{
"input": "5 5",
"output": "#####\n....#\n#####\n#....\n#####"
},
{
"input": "5 6",
"output": "######\n.....#\n######\n#.....\n######"
},
{
"input": "7 5",
"output": "#####\n....#\n#####\n#....\n#####\n....#\n#####"
},
{
"input": "7 6",
"output": "######\n.....#\n######\n#.....\n######\n.....#\n######"
},
{
"input": "7 7",
"output": "#######\n......#\n#######\n#......\n#######\n......#\n#######"
}
] | 1,674,594,128
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 28
| 46
| 0
|
r , c = list(map(int, input().split()))
right = True
for idx in range(r):
if idx % 2:
row = ["."]*c
if right:
row[-1] = "#"
else:
row[0] = "#"
right = not right
else:
row = ["#"]*c
print("".join(row))
|
Title: Fox And Snake
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.
A snake is a pattern on a *n* by *m* table. Denote *c*-th cell of *r*-th row as (*r*,<=*c*). The tail of the snake is located at (1,<=1), then it's body extends to (1,<=*m*), then goes down 2 rows to (3,<=*m*), then goes left to (3,<=1) and so on.
Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').
Consider sample tests in order to understand the snake pattern.
Input Specification:
The only line contains two integers: *n* and *m* (3<=≤<=*n*,<=*m*<=≤<=50).
*n* is an odd number.
Output Specification:
Output *n* lines. Each line should contain a string consisting of *m* characters. Do not output spaces.
Demo Input:
['3 3\n', '3 4\n', '5 3\n', '9 9\n']
Demo Output:
['###\n..#\n###\n', '####\n...#\n####\n', '###\n..#\n###\n#..\n###\n', '#########\n........#\n#########\n#........\n#########\n........#\n#########\n#........\n#########\n']
Note:
none
|
```python
r , c = list(map(int, input().split()))
right = True
for idx in range(r):
if idx % 2:
row = ["."]*c
if right:
row[-1] = "#"
else:
row[0] = "#"
right = not right
else:
row = ["#"]*c
print("".join(row))
```
| 3
|
|
0
|
none
|
none
|
none
| 0
|
[
"none"
] | null | null |
It is a balmy spring afternoon, and Farmer John's *n* cows are ruminating about link-cut cacti in their stalls. The cows, labeled 1 through *n*, are arranged so that the *i*-th cow occupies the *i*-th stall from the left. However, Elsie, after realizing that she will forever live in the shadows beyond Bessie's limelight, has formed the Mischievous Mess Makers and is plotting to disrupt this beautiful pastoral rhythm. While Farmer John takes his *k* minute long nap, Elsie and the Mess Makers plan to repeatedly choose two distinct stalls and swap the cows occupying those stalls, making no more than one swap each minute.
Being the meticulous pranksters that they are, the Mischievous Mess Makers would like to know the maximum messiness attainable in the *k* minutes that they have. We denote as *p**i* the label of the cow in the *i*-th stall. The messiness of an arrangement of cows is defined as the number of pairs (*i*,<=*j*) such that *i*<=<<=*j* and *p**i*<=><=*p**j*.
|
The first line of the input contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100<=000) — the number of cows and the length of Farmer John's nap, respectively.
|
Output a single integer, the maximum messiness that the Mischievous Mess Makers can achieve by performing no more than *k* swaps.
|
[
"5 2\n",
"1 10\n"
] |
[
"10\n",
"0\n"
] |
In the first sample, the Mischievous Mess Makers can swap the cows in the stalls 1 and 5 during the first minute, then the cows in stalls 2 and 4 during the second minute. This reverses the arrangement of cows, giving us a total messiness of 10.
In the second sample, there is only one cow, so the maximum possible messiness is 0.
| 0
|
[
{
"input": "5 2",
"output": "10"
},
{
"input": "1 10",
"output": "0"
},
{
"input": "100000 2",
"output": "399990"
},
{
"input": "1 1",
"output": "0"
},
{
"input": "8 3",
"output": "27"
},
{
"input": "7 1",
"output": "11"
},
{
"input": "100000 40000",
"output": "4799960000"
},
{
"input": "1 1000",
"output": "0"
},
{
"input": "100 45",
"output": "4905"
},
{
"input": "9 2",
"output": "26"
},
{
"input": "456 78",
"output": "58890"
},
{
"input": "100000 50000",
"output": "4999950000"
},
{
"input": "100000 50001",
"output": "4999950000"
},
{
"input": "100000 50002",
"output": "4999950000"
},
{
"input": "100000 50003",
"output": "4999950000"
},
{
"input": "100000 49998",
"output": "4999949994"
},
{
"input": "100000 49997",
"output": "4999949985"
},
{
"input": "99999 49998",
"output": "4999849998"
},
{
"input": "99999 49997",
"output": "4999849991"
},
{
"input": "99999 49996",
"output": "4999849980"
},
{
"input": "99999 50000",
"output": "4999850001"
},
{
"input": "99999 50001",
"output": "4999850001"
},
{
"input": "99999 50002",
"output": "4999850001"
},
{
"input": "30062 9",
"output": "540945"
},
{
"input": "13486 3",
"output": "80895"
},
{
"input": "29614 7",
"output": "414491"
},
{
"input": "13038 8",
"output": "208472"
},
{
"input": "96462 6",
"output": "1157466"
},
{
"input": "22599 93799",
"output": "255346101"
},
{
"input": "421 36817",
"output": "88410"
},
{
"input": "72859 65869",
"output": "2654180511"
},
{
"input": "37916 5241",
"output": "342494109"
},
{
"input": "47066 12852",
"output": "879423804"
},
{
"input": "84032 21951",
"output": "2725458111"
},
{
"input": "70454 75240",
"output": "2481847831"
},
{
"input": "86946 63967",
"output": "3779759985"
},
{
"input": "71128 11076",
"output": "1330260828"
},
{
"input": "46111 64940",
"output": "1063089105"
},
{
"input": "46111 64940",
"output": "1063089105"
},
{
"input": "56500 84184",
"output": "1596096750"
},
{
"input": "60108 83701",
"output": "1806455778"
},
{
"input": "1 2",
"output": "0"
},
{
"input": "1 3",
"output": "0"
},
{
"input": "1 4",
"output": "0"
},
{
"input": "1 5",
"output": "0"
},
{
"input": "1 6",
"output": "0"
},
{
"input": "2 1",
"output": "1"
},
{
"input": "2 2",
"output": "1"
},
{
"input": "2 3",
"output": "1"
},
{
"input": "2 4",
"output": "1"
},
{
"input": "2 5",
"output": "1"
},
{
"input": "3 1",
"output": "3"
},
{
"input": "3 2",
"output": "3"
},
{
"input": "3 3",
"output": "3"
},
{
"input": "3 4",
"output": "3"
},
{
"input": "3 5",
"output": "3"
},
{
"input": "4 1",
"output": "5"
},
{
"input": "4 2",
"output": "6"
},
{
"input": "4 3",
"output": "6"
},
{
"input": "4 4",
"output": "6"
},
{
"input": "4 5",
"output": "6"
},
{
"input": "5 1",
"output": "7"
},
{
"input": "5 3",
"output": "10"
},
{
"input": "5 4",
"output": "10"
},
{
"input": "5 5",
"output": "10"
},
{
"input": "6 1",
"output": "9"
},
{
"input": "6 2",
"output": "14"
},
{
"input": "6 3",
"output": "15"
},
{
"input": "7 2",
"output": "18"
},
{
"input": "7 3",
"output": "21"
},
{
"input": "7 4",
"output": "21"
},
{
"input": "10 2",
"output": "30"
},
{
"input": "60982 2",
"output": "243918"
},
{
"input": "23426 23",
"output": "1076515"
},
{
"input": "444 3",
"output": "2643"
},
{
"input": "18187 433",
"output": "15374531"
},
{
"input": "6895 3544",
"output": "23767065"
},
{
"input": "56204 22352",
"output": "1513297456"
},
{
"input": "41977 5207",
"output": "382917573"
},
{
"input": "78147 2321",
"output": "351981971"
},
{
"input": "99742 62198",
"output": "4974183411"
},
{
"input": "72099 38339",
"output": "2599096851"
},
{
"input": "82532 4838",
"output": "751762306"
},
{
"input": "79410 33144",
"output": "3066847464"
},
{
"input": "11021 3389",
"output": "51726307"
},
{
"input": "66900 7572",
"output": "898455660"
},
{
"input": "99999 49999",
"output": "4999850001"
},
{
"input": "100000 49999",
"output": "4999949999"
},
{
"input": "100000 100000",
"output": "4999950000"
},
{
"input": "100000 1",
"output": "199997"
},
{
"input": "4 100",
"output": "6"
},
{
"input": "100000 1234",
"output": "243753254"
}
] | 1,465,097,750
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 92
| 62
| 5,120,000
|
n, k = (int(i) for i in input().split())
if n == 1:
print(0)
exit()
if k >= int(n/2):
t = n*(n-1)/2
print(int(t))
exit()
s = n - 2 * k
p = s*(s-1)/2
l = n*(n-1)/2
output = l - p
print(int(output))
|
Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It is a balmy spring afternoon, and Farmer John's *n* cows are ruminating about link-cut cacti in their stalls. The cows, labeled 1 through *n*, are arranged so that the *i*-th cow occupies the *i*-th stall from the left. However, Elsie, after realizing that she will forever live in the shadows beyond Bessie's limelight, has formed the Mischievous Mess Makers and is plotting to disrupt this beautiful pastoral rhythm. While Farmer John takes his *k* minute long nap, Elsie and the Mess Makers plan to repeatedly choose two distinct stalls and swap the cows occupying those stalls, making no more than one swap each minute.
Being the meticulous pranksters that they are, the Mischievous Mess Makers would like to know the maximum messiness attainable in the *k* minutes that they have. We denote as *p**i* the label of the cow in the *i*-th stall. The messiness of an arrangement of cows is defined as the number of pairs (*i*,<=*j*) such that *i*<=<<=*j* and *p**i*<=><=*p**j*.
Input Specification:
The first line of the input contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100<=000) — the number of cows and the length of Farmer John's nap, respectively.
Output Specification:
Output a single integer, the maximum messiness that the Mischievous Mess Makers can achieve by performing no more than *k* swaps.
Demo Input:
['5 2\n', '1 10\n']
Demo Output:
['10\n', '0\n']
Note:
In the first sample, the Mischievous Mess Makers can swap the cows in the stalls 1 and 5 during the first minute, then the cows in stalls 2 and 4 during the second minute. This reverses the arrangement of cows, giving us a total messiness of 10.
In the second sample, there is only one cow, so the maximum possible messiness is 0.
|
```python
n, k = (int(i) for i in input().split())
if n == 1:
print(0)
exit()
if k >= int(n/2):
t = n*(n-1)/2
print(int(t))
exit()
s = n - 2 * k
p = s*(s-1)/2
l = n*(n-1)/2
output = l - p
print(int(output))
```
| 3
|
|
688
|
B
|
Lovely Palindromes
|
PROGRAMMING
| 1,000
|
[
"constructive algorithms",
"math"
] | null | null |
Pari has a friend who loves palindrome numbers. A palindrome number is a number that reads the same forward or backward. For example 12321, 100001 and 1 are palindrome numbers, while 112 and 1021 are not.
Pari is trying to love them too, but only very special and gifted people can understand the beauty behind palindrome numbers. Pari loves integers with even length (i.e. the numbers with even number of digits), so she tries to see a lot of big palindrome numbers with even length (like a 2-digit 11 or 6-digit 122221), so maybe she could see something in them.
Now Pari asks you to write a program that gets a huge integer *n* from the input and tells what is the *n*-th even-length positive palindrome number?
|
The only line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10100<=000).
|
Print the *n*-th even-length palindrome number.
|
[
"1\n",
"10\n"
] |
[
"11\n",
"1001\n"
] |
The first 10 even-length palindrome numbers are 11, 22, 33, ... , 88, 99 and 1001.
| 1,000
|
[
{
"input": "1",
"output": "11"
},
{
"input": "10",
"output": "1001"
},
{
"input": "11",
"output": "1111"
},
{
"input": "12",
"output": "1221"
},
{
"input": "100",
"output": "100001"
},
{
"input": "1321",
"output": "13211231"
},
{
"input": "2",
"output": "22"
},
{
"input": "3",
"output": "33"
},
{
"input": "4",
"output": "44"
},
{
"input": "5",
"output": "55"
},
{
"input": "6",
"output": "66"
},
{
"input": "7",
"output": "77"
},
{
"input": "8",
"output": "88"
},
{
"input": "9",
"output": "99"
},
{
"input": "13",
"output": "1331"
},
{
"input": "14",
"output": "1441"
},
{
"input": "15",
"output": "1551"
},
{
"input": "16",
"output": "1661"
},
{
"input": "17",
"output": "1771"
},
{
"input": "18",
"output": "1881"
},
{
"input": "19",
"output": "1991"
},
{
"input": "20",
"output": "2002"
},
{
"input": "26550",
"output": "2655005562"
},
{
"input": "16137",
"output": "1613773161"
},
{
"input": "91471",
"output": "9147117419"
},
{
"input": "41242",
"output": "4124224214"
},
{
"input": "30866",
"output": "3086666803"
},
{
"input": "4442231232741003009964183199713851566466079882929007253443848371978048610682180431295671905105980116",
"output": "44422312327410030099641831997138515664660798829290072534438483719780486106821804312956719051059801166110895015091765921340812860168408791738483443527009292889706646651583179913814699003001472321322444"
},
{
"input": "7806526084732010742850470902979267046151204705563201965818390803445852115032119297648697933316807252",
"output": "78065260847320107428504709029792670461512047055632019658183908034458521150321192976486979333168072522527086133397968467929112305112585443080938185691023655074021516407629792090740582470102374806256087"
},
{
"input": "2244399823612183124978103773977739948197709395321563148611877999503840818596183803323258317041875913",
"output": "22443998236121831249781037739777399481977093953215631486118779995038408185961838033232583170418759133195781407138523233083816958180483059997781168413651235939077918499377793773018794213812163289934422"
},
{
"input": "123451",
"output": "123451154321"
}
] | 1,652,978,065
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 40
| 46
| 4,812,800
|
p=input()
print(p+p[::-1])
|
Title: Lovely Palindromes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pari has a friend who loves palindrome numbers. A palindrome number is a number that reads the same forward or backward. For example 12321, 100001 and 1 are palindrome numbers, while 112 and 1021 are not.
Pari is trying to love them too, but only very special and gifted people can understand the beauty behind palindrome numbers. Pari loves integers with even length (i.e. the numbers with even number of digits), so she tries to see a lot of big palindrome numbers with even length (like a 2-digit 11 or 6-digit 122221), so maybe she could see something in them.
Now Pari asks you to write a program that gets a huge integer *n* from the input and tells what is the *n*-th even-length positive palindrome number?
Input Specification:
The only line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10100<=000).
Output Specification:
Print the *n*-th even-length palindrome number.
Demo Input:
['1\n', '10\n']
Demo Output:
['11\n', '1001\n']
Note:
The first 10 even-length palindrome numbers are 11, 22, 33, ... , 88, 99 and 1001.
|
```python
p=input()
print(p+p[::-1])
```
| 3
|
|
59
|
A
|
Word
|
PROGRAMMING
| 800
|
[
"implementation",
"strings"
] |
A. Word
|
2
|
256
|
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
|
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
|
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
|
[
"HoUse\n",
"ViP\n",
"maTRIx\n"
] |
[
"house\n",
"VIP\n",
"matrix\n"
] |
none
| 500
|
[
{
"input": "HoUse",
"output": "house"
},
{
"input": "ViP",
"output": "VIP"
},
{
"input": "maTRIx",
"output": "matrix"
},
{
"input": "BNHWpnpawg",
"output": "bnhwpnpawg"
},
{
"input": "VTYGP",
"output": "VTYGP"
},
{
"input": "CHNenu",
"output": "chnenu"
},
{
"input": "ERPZGrodyu",
"output": "erpzgrodyu"
},
{
"input": "KSXBXWpebh",
"output": "KSXBXWPEBH"
},
{
"input": "qvxpqullmcbegsdskddortcvxyqlbvxmmkhevovnezubvpvnrcajpxraeaxizgaowtfkzywvhnbgzsxbhkaipcmoumtikkiyyaiv",
"output": "qvxpqullmcbegsdskddortcvxyqlbvxmmkhevovnezubvpvnrcajpxraeaxizgaowtfkzywvhnbgzsxbhkaipcmoumtikkiyyaiv"
},
{
"input": "Amnhaxtaopjzrkqlbroiyipitndczpunwygstmzevgyjdzyanxkdqnvgkikfabwouwkkbzuiuvgvxgpizsvqsbwepktpdrgdkmfd",
"output": "amnhaxtaopjzrkqlbroiyipitndczpunwygstmzevgyjdzyanxkdqnvgkikfabwouwkkbzuiuvgvxgpizsvqsbwepktpdrgdkmfd"
},
{
"input": "ISAGFJFARYFBLOPQDSHWGMCNKMFTLVFUGNJEWGWNBLXUIATXEkqiettmmjgydwcpafqrppdsrrrtguinqbgmzzfqwonkpgpcwenv",
"output": "isagfjfaryfblopqdshwgmcnkmftlvfugnjewgwnblxuiatxekqiettmmjgydwcpafqrppdsrrrtguinqbgmzzfqwonkpgpcwenv"
},
{
"input": "XHRPXZEGHSOCJPICUIXSKFUZUPYTSGJSDIYBCMNMNBPNDBXLXBzhbfnqvwcffvrdhtickyqhupmcehlsyvncqmfhautvxudqdhgg",
"output": "xhrpxzeghsocjpicuixskfuzupytsgjsdiybcmnmnbpndbxlxbzhbfnqvwcffvrdhtickyqhupmcehlsyvncqmfhautvxudqdhgg"
},
{
"input": "RJIQZMJCIMSNDBOHBRAWIENODSALETAKGKPYUFGVEFGCBRENZGAdkcetqjljtmttlonpekcovdzebzdkzggwfsxhapmjkdbuceak",
"output": "RJIQZMJCIMSNDBOHBRAWIENODSALETAKGKPYUFGVEFGCBRENZGADKCETQJLJTMTTLONPEKCOVDZEBZDKZGGWFSXHAPMJKDBUCEAK"
},
{
"input": "DWLWOBHNMMGTFOLFAECKBRNNGLYLYDXTGTVRLMEESZOIUATZZZXUFUZDLSJXMEVRTESSFBWLNZZCLCQWEVNNUCXYVHNGNXHCBDFw",
"output": "DWLWOBHNMMGTFOLFAECKBRNNGLYLYDXTGTVRLMEESZOIUATZZZXUFUZDLSJXMEVRTESSFBWLNZZCLCQWEVNNUCXYVHNGNXHCBDFW"
},
{
"input": "NYCNHJWGBOCOTSPETKKHVWFGAQYNHOVJWJHCIEFOUQZXOYUIEQDZALFKTEHTVDBVJMEUBJUBCMNVPWGDPNCHQHZJRCHYRFPVIGUB",
"output": "NYCNHJWGBOCOTSPETKKHVWFGAQYNHOVJWJHCIEFOUQZXOYUIEQDZALFKTEHTVDBVJMEUBJUBCMNVPWGDPNCHQHZJRCHYRFPVIGUB"
},
{
"input": "igxoixiecetohtgjgbqzvlaobkhstejxdklghowtvwunnnvauriohuspsdmpzckprwajyxldoyckgjivjpmbfqtszmtocovxwge",
"output": "igxoixiecetohtgjgbqzvlaobkhstejxdklghowtvwunnnvauriohuspsdmpzckprwajyxldoyckgjivjpmbfqtszmtocovxwge"
},
{
"input": "Ykkekrsqolzryiwsmdlnbmfautxxxauoojrddvwklgnlyrfcvhorrzbmtcrvpaypqhcffdqhwziipyyskcmztjprjqvmzzqhqnw",
"output": "ykkekrsqolzryiwsmdlnbmfautxxxauoojrddvwklgnlyrfcvhorrzbmtcrvpaypqhcffdqhwziipyyskcmztjprjqvmzzqhqnw"
},
{
"input": "YQOMLKYAORUQQUCQZCDYMIVDHGWZFFRMUVTAWCHERFPMNRYRIkgqrciokgajamehmcxgerpudvsqyonjonsxgbnefftzmygncks",
"output": "yqomlkyaoruqqucqzcdymivdhgwzffrmuvtawcherfpmnryrikgqrciokgajamehmcxgerpudvsqyonjonsxgbnefftzmygncks"
},
{
"input": "CDOZDPBVVVHNBJVBYHEOXWFLJKRWJCAJMIFCOZWWYFKVWOGTVJcuusigdqfkumewjtdyitveeiaybwrhomrwmpdipjwiuxfnwuz",
"output": "CDOZDPBVVVHNBJVBYHEOXWFLJKRWJCAJMIFCOZWWYFKVWOGTVJCUUSIGDQFKUMEWJTDYITVEEIAYBWRHOMRWMPDIPJWIUXFNWUZ"
},
{
"input": "WHIUVEXHVOOIJIDVJVPQUBJMEVPMPDKQWJKFBZSGSKUXMIPPMJWuckzcpxosodcjaaakvlxpbiigsiauviilylnnqlyucziihqg",
"output": "WHIUVEXHVOOIJIDVJVPQUBJMEVPMPDKQWJKFBZSGSKUXMIPPMJWUCKZCPXOSODCJAAAKVLXPBIIGSIAUVIILYLNNQLYUCZIIHQG"
},
{
"input": "VGHUNFOXKETUYMZDJNGTAOIOANYXSGYNFOGOFFLDAWEUKYFOZXCJTCAFXZYLQZERYZLRSQXYQGAPCSUDPMEYTNCTTTMFAGVDWBO",
"output": "VGHUNFOXKETUYMZDJNGTAOIOANYXSGYNFOGOFFLDAWEUKYFOZXCJTCAFXZYLQZERYZLRSQXYQGAPCSUDPMEYTNCTTTMFAGVDWBO"
},
{
"input": "EDUANHCQDOCJHFONTTSWBUJSTTIXBIXMAIUFSGFLXWAYIURTVAVZPYQDLAWIGCLMPHXCEFCJPFAAHXVNGQUFNHADAIUAZIDMHDd",
"output": "EDUANHCQDOCJHFONTTSWBUJSTTIXBIXMAIUFSGFLXWAYIURTVAVZPYQDLAWIGCLMPHXCEFCJPFAAHXVNGQUFNHADAIUAZIDMHDD"
},
{
"input": "EBWOVSNLYTWWXrnovgugogtjahnmatomubebyxakas",
"output": "ebwovsnlytwwxrnovgugogtjahnmatomubebyxakas"
},
{
"input": "AORNNDKTRLRVGDPXJKXFTPFpopuzrlqumrxssskvbm",
"output": "AORNNDKTRLRVGDPXJKXFTPFPOPUZRLQUMRXSSSKVBM"
},
{
"input": "DBBZJCWQEVGYHEEUHJAWRHBDPsnplijbwtdibqrrheebfxqcvn",
"output": "dbbzjcwqevgyheeuhjawrhbdpsnplijbwtdibqrrheebfxqcvn"
},
{
"input": "t",
"output": "t"
},
{
"input": "N",
"output": "N"
},
{
"input": "kv",
"output": "kv"
},
{
"input": "Ur",
"output": "ur"
},
{
"input": "CN",
"output": "CN"
}
] | 1,675,174,144
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 30
| 92
| 0
|
s=input();i=0
for e in s:
if e.islower():
i+=1
if i >= (len(s)/2):
print(s.lower())
else:
print(s.upper())
|
Title: Word
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
Input Specification:
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Output Specification:
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
Demo Input:
['HoUse\n', 'ViP\n', 'maTRIx\n']
Demo Output:
['house\n', 'VIP\n', 'matrix\n']
Note:
none
|
```python
s=input();i=0
for e in s:
if e.islower():
i+=1
if i >= (len(s)/2):
print(s.lower())
else:
print(s.upper())
```
| 3.977
|
592
|
B
|
The Monster and the Squirrel
|
PROGRAMMING
| 1,100
|
[
"math"
] | null | null |
Ari the monster always wakes up very early with the first ray of the sun and the first thing she does is feeding her squirrel.
Ari draws a regular convex polygon on the floor and numbers it's vertices 1,<=2,<=...,<=*n* in clockwise order. Then starting from the vertex 1 she draws a ray in the direction of each other vertex. The ray stops when it reaches a vertex or intersects with another ray drawn before. Ari repeats this process for vertex 2,<=3,<=...,<=*n* (in this particular order). And then she puts a walnut in each region inside the polygon.
Ada the squirrel wants to collect all the walnuts, but she is not allowed to step on the lines drawn by Ari. That means Ada have to perform a small jump if she wants to go from one region to another. Ada can jump from one region P to another region Q if and only if P and Q share a side or a corner.
Assuming that Ada starts from outside of the picture, what is the minimum number of jumps she has to perform in order to collect all the walnuts?
|
The first and only line of the input contains a single integer *n* (3<=≤<=*n*<=≤<=54321) - the number of vertices of the regular polygon drawn by Ari.
|
Print the minimum number of jumps Ada should make to collect all the walnuts. Note, that she doesn't need to leave the polygon after.
|
[
"5\n",
"3\n"
] |
[
"9\n",
"1\n"
] |
One of the possible solutions for the first sample is shown on the picture above.
| 1,000
|
[
{
"input": "5",
"output": "9"
},
{
"input": "3",
"output": "1"
},
{
"input": "54321",
"output": "2950553761"
},
{
"input": "4",
"output": "4"
},
{
"input": "6",
"output": "16"
},
{
"input": "7",
"output": "25"
},
{
"input": "8",
"output": "36"
},
{
"input": "9",
"output": "49"
},
{
"input": "10",
"output": "64"
},
{
"input": "54320",
"output": "2950445124"
},
{
"input": "54319",
"output": "2950336489"
},
{
"input": "54318",
"output": "2950227856"
},
{
"input": "54317",
"output": "2950119225"
},
{
"input": "54316",
"output": "2950010596"
},
{
"input": "54315",
"output": "2949901969"
},
{
"input": "54314",
"output": "2949793344"
},
{
"input": "8153",
"output": "66438801"
},
{
"input": "51689",
"output": "2671545969"
},
{
"input": "16659",
"output": "277455649"
},
{
"input": "47389",
"output": "2245527769"
},
{
"input": "314",
"output": "97344"
},
{
"input": "23481",
"output": "551263441"
},
{
"input": "20380",
"output": "415262884"
},
{
"input": "1994",
"output": "3968064"
}
] | 1,649,234,583
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 24
| 46
| 0
|
# @Chukamin ZZU_TRAIN
def main():
n = int(input())
print((n - 2) * (n - 2))
if __name__ == '__main__':
main()
|
Title: The Monster and the Squirrel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ari the monster always wakes up very early with the first ray of the sun and the first thing she does is feeding her squirrel.
Ari draws a regular convex polygon on the floor and numbers it's vertices 1,<=2,<=...,<=*n* in clockwise order. Then starting from the vertex 1 she draws a ray in the direction of each other vertex. The ray stops when it reaches a vertex or intersects with another ray drawn before. Ari repeats this process for vertex 2,<=3,<=...,<=*n* (in this particular order). And then she puts a walnut in each region inside the polygon.
Ada the squirrel wants to collect all the walnuts, but she is not allowed to step on the lines drawn by Ari. That means Ada have to perform a small jump if she wants to go from one region to another. Ada can jump from one region P to another region Q if and only if P and Q share a side or a corner.
Assuming that Ada starts from outside of the picture, what is the minimum number of jumps she has to perform in order to collect all the walnuts?
Input Specification:
The first and only line of the input contains a single integer *n* (3<=≤<=*n*<=≤<=54321) - the number of vertices of the regular polygon drawn by Ari.
Output Specification:
Print the minimum number of jumps Ada should make to collect all the walnuts. Note, that she doesn't need to leave the polygon after.
Demo Input:
['5\n', '3\n']
Demo Output:
['9\n', '1\n']
Note:
One of the possible solutions for the first sample is shown on the picture above.
|
```python
# @Chukamin ZZU_TRAIN
def main():
n = int(input())
print((n - 2) * (n - 2))
if __name__ == '__main__':
main()
```
| 3
|
|
274
|
A
|
k-Multiple Free Set
|
PROGRAMMING
| 1,500
|
[
"binary search",
"greedy",
"sortings"
] | null | null |
A *k*-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by *k*. That is, there are no two integers *x* and *y* (*x*<=<<=*y*) from the set, such that *y*<==<=*x*·*k*.
You're given a set of *n* distinct positive integers. Your task is to find the size of it's largest *k*-multiple free subset.
|
The first line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*k*<=≤<=109). The next line contains a list of *n* distinct positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
All the numbers in the lines are separated by single spaces.
|
On the only line of the output print the size of the largest *k*-multiple free subset of {*a*1,<=*a*2,<=...,<=*a**n*}.
|
[
"6 2\n2 3 6 5 4 10\n"
] |
[
"3\n"
] |
In the sample input one of the possible maximum 2-multiple free subsets is {4, 5, 6}.
| 500
|
[
{
"input": "6 2\n2 3 6 5 4 10",
"output": "3"
},
{
"input": "10 2\n1 2 3 4 5 6 7 8 9 10",
"output": "6"
},
{
"input": "1 1\n1",
"output": "1"
},
{
"input": "100 2\n191 17 61 40 77 95 128 88 26 69 79 10 131 106 142 152 68 39 182 53 83 81 6 89 65 148 33 22 5 47 107 121 52 163 150 158 189 118 75 180 177 176 112 167 140 184 29 166 25 46 169 145 187 123 196 18 115 126 155 100 63 58 159 19 173 113 133 60 130 161 76 157 93 199 50 97 15 67 109 164 99 149 3 137 153 136 56 43 103 170 13 183 194 72 9 181 86 30 91 36",
"output": "79"
},
{
"input": "100 3\n13 38 137 24 46 192 33 8 170 141 118 57 198 133 112 176 40 36 91 130 166 72 123 28 82 180 134 52 64 107 97 79 199 184 158 22 181 163 98 7 88 41 73 87 167 109 15 173 153 70 50 119 139 56 17 152 84 161 11 116 31 187 143 196 27 102 132 126 149 63 146 168 67 48 53 120 20 105 155 10 128 47 23 6 94 3 113 65 44 179 189 99 75 34 111 193 60 145 171 77",
"output": "87"
},
{
"input": "12 400000000\n1 400000000 800000000 2 3 4 5 6 7 8 9 10",
"output": "10"
},
{
"input": "3 1\n1 2 3",
"output": "3"
},
{
"input": "1 1\n1000000000",
"output": "1"
},
{
"input": "10 1\n1 100 300 400 500 500000 1000000 10000000 100000000 1000000000",
"output": "10"
},
{
"input": "2 1\n2 1",
"output": "2"
},
{
"input": "2 1000000000\n1 1000000000",
"output": "1"
},
{
"input": "4 1000\n1 1000 1000000 1000000000",
"output": "2"
},
{
"input": "2 2\n1 3",
"output": "2"
},
{
"input": "2 2\n16 8",
"output": "1"
},
{
"input": "3 2\n8 4 2",
"output": "2"
},
{
"input": "5 1\n1 2 3 4 5",
"output": "5"
},
{
"input": "2 2\n500000000 1000000000",
"output": "1"
},
{
"input": "2 2\n4 2",
"output": "1"
},
{
"input": "10 100000000\n1 2 3 4 5 6 7 8 82000 907431936",
"output": "10"
},
{
"input": "8 65538\n65535 65536 65537 65538 65539 131072 262144 196608",
"output": "8"
},
{
"input": "5 2\n10 8 6 4 2",
"output": "4"
},
{
"input": "2 1000000000\n276447232 100000",
"output": "2"
}
] | 1,439,631,275
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 43
| 622
| 18,636,800
|
n, k = map(int, input().split())
arr = list(map(int, input().split()))
lol = {}
flag = {}
arr.sort()
for x in arr:
flag[x] = 1
ans = 0
for i in range(len(arr)):
if arr[i] in lol:
continue
cur = arr[i]
cnt = 0
while cur <= 1000000000:
lol[cur] = 1
if cur in flag:
cnt += 1
else:
break
cur = cur * k
if k == 1:
break
ans += (cnt + 1) // 2
print(ans)
|
Title: k-Multiple Free Set
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A *k*-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by *k*. That is, there are no two integers *x* and *y* (*x*<=<<=*y*) from the set, such that *y*<==<=*x*·*k*.
You're given a set of *n* distinct positive integers. Your task is to find the size of it's largest *k*-multiple free subset.
Input Specification:
The first line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*k*<=≤<=109). The next line contains a list of *n* distinct positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
All the numbers in the lines are separated by single spaces.
Output Specification:
On the only line of the output print the size of the largest *k*-multiple free subset of {*a*1,<=*a*2,<=...,<=*a**n*}.
Demo Input:
['6 2\n2 3 6 5 4 10\n']
Demo Output:
['3\n']
Note:
In the sample input one of the possible maximum 2-multiple free subsets is {4, 5, 6}.
|
```python
n, k = map(int, input().split())
arr = list(map(int, input().split()))
lol = {}
flag = {}
arr.sort()
for x in arr:
flag[x] = 1
ans = 0
for i in range(len(arr)):
if arr[i] in lol:
continue
cur = arr[i]
cnt = 0
while cur <= 1000000000:
lol[cur] = 1
if cur in flag:
cnt += 1
else:
break
cur = cur * k
if k == 1:
break
ans += (cnt + 1) // 2
print(ans)
```
| 3
|
|
248
|
A
|
Cupboards
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
One foggy Stockholm morning, Karlsson decided to snack on some jam in his friend Lillebror Svantenson's house. Fortunately for Karlsson, there wasn't anybody in his friend's house. Karlsson was not going to be hungry any longer, so he decided to get some food in the house.
Karlsson's gaze immediately fell on *n* wooden cupboards, standing in the kitchen. He immediately realized that these cupboards have hidden jam stocks. Karlsson began to fly greedily around the kitchen, opening and closing the cupboards' doors, grab and empty all the jars of jam that he could find.
And now all jars of jam are empty, Karlsson has had enough and does not want to leave traces of his stay, so as not to let down his friend. Each of the cupboards has two doors: the left one and the right one. Karlsson remembers that when he rushed to the kitchen, all the cupboards' left doors were in the same position (open or closed), similarly, all the cupboards' right doors were in the same position (open or closed). Karlsson wants the doors to meet this condition as well by the time the family returns. Karlsson does not remember the position of all the left doors, also, he cannot remember the position of all the right doors. Therefore, it does not matter to him in what position will be all left or right doors. It is important to leave all the left doors in the same position, and all the right doors in the same position. For example, all the left doors may be closed, and all the right ones may be open.
Karlsson needs one second to open or close a door of a cupboard. He understands that he has very little time before the family returns, so he wants to know the minimum number of seconds *t*, in which he is able to bring all the cupboard doors in the required position.
Your task is to write a program that will determine the required number of seconds *t*.
|
The first input line contains a single integer *n* — the number of cupboards in the kitchen (2<=≤<=*n*<=≤<=104). Then follow *n* lines, each containing two integers *l**i* and *r**i* (0<=≤<=*l**i*,<=*r**i*<=≤<=1). Number *l**i* equals one, if the left door of the *i*-th cupboard is opened, otherwise number *l**i* equals zero. Similarly, number *r**i* equals one, if the right door of the *i*-th cupboard is opened, otherwise number *r**i* equals zero.
The numbers in the lines are separated by single spaces.
|
In the only output line print a single integer *t* — the minimum number of seconds Karlsson needs to change the doors of all cupboards to the position he needs.
|
[
"5\n0 1\n1 0\n0 1\n1 1\n0 1\n"
] |
[
"3\n"
] |
none
| 500
|
[
{
"input": "5\n0 1\n1 0\n0 1\n1 1\n0 1",
"output": "3"
},
{
"input": "2\n0 0\n0 0",
"output": "0"
},
{
"input": "3\n0 1\n1 1\n1 1",
"output": "1"
},
{
"input": "8\n0 1\n1 0\n0 1\n1 1\n0 1\n1 0\n0 1\n1 0",
"output": "7"
},
{
"input": "8\n1 0\n1 0\n1 0\n0 1\n0 1\n1 1\n1 1\n0 1",
"output": "6"
},
{
"input": "15\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0",
"output": "0"
},
{
"input": "5\n1 0\n1 0\n1 0\n0 1\n0 1",
"output": "4"
}
] | 1,625,480,846
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 57
| 184
| 0
|
n=int(input())
r,l=0,0
for i in range(n):
x=input().split()
r=r+int(x[0])
l=l+int(x[1])
print(min(r,n-r)+min(l,n-l))
|
Title: Cupboards
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One foggy Stockholm morning, Karlsson decided to snack on some jam in his friend Lillebror Svantenson's house. Fortunately for Karlsson, there wasn't anybody in his friend's house. Karlsson was not going to be hungry any longer, so he decided to get some food in the house.
Karlsson's gaze immediately fell on *n* wooden cupboards, standing in the kitchen. He immediately realized that these cupboards have hidden jam stocks. Karlsson began to fly greedily around the kitchen, opening and closing the cupboards' doors, grab and empty all the jars of jam that he could find.
And now all jars of jam are empty, Karlsson has had enough and does not want to leave traces of his stay, so as not to let down his friend. Each of the cupboards has two doors: the left one and the right one. Karlsson remembers that when he rushed to the kitchen, all the cupboards' left doors were in the same position (open or closed), similarly, all the cupboards' right doors were in the same position (open or closed). Karlsson wants the doors to meet this condition as well by the time the family returns. Karlsson does not remember the position of all the left doors, also, he cannot remember the position of all the right doors. Therefore, it does not matter to him in what position will be all left or right doors. It is important to leave all the left doors in the same position, and all the right doors in the same position. For example, all the left doors may be closed, and all the right ones may be open.
Karlsson needs one second to open or close a door of a cupboard. He understands that he has very little time before the family returns, so he wants to know the minimum number of seconds *t*, in which he is able to bring all the cupboard doors in the required position.
Your task is to write a program that will determine the required number of seconds *t*.
Input Specification:
The first input line contains a single integer *n* — the number of cupboards in the kitchen (2<=≤<=*n*<=≤<=104). Then follow *n* lines, each containing two integers *l**i* and *r**i* (0<=≤<=*l**i*,<=*r**i*<=≤<=1). Number *l**i* equals one, if the left door of the *i*-th cupboard is opened, otherwise number *l**i* equals zero. Similarly, number *r**i* equals one, if the right door of the *i*-th cupboard is opened, otherwise number *r**i* equals zero.
The numbers in the lines are separated by single spaces.
Output Specification:
In the only output line print a single integer *t* — the minimum number of seconds Karlsson needs to change the doors of all cupboards to the position he needs.
Demo Input:
['5\n0 1\n1 0\n0 1\n1 1\n0 1\n']
Demo Output:
['3\n']
Note:
none
|
```python
n=int(input())
r,l=0,0
for i in range(n):
x=input().split()
r=r+int(x[0])
l=l+int(x[1])
print(min(r,n-r)+min(l,n-l))
```
| 3
|
|
629
|
A
|
Far Relative’s Birthday Cake
|
PROGRAMMING
| 800
|
[
"brute force",
"combinatorics",
"constructive algorithms",
"implementation"
] | null | null |
Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird!
The cake is a *n*<=×<=*n* square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly started to put the chocolates on the cake. The value of Famil Door's happiness will be equal to the number of pairs of cells with chocolates that are in the same row or in the same column of the cake. Famil Doors's family is wondering what is the amount of happiness of Famil going to be?
Please, note that any pair can be counted no more than once, as two different cells can't share both the same row and the same column.
|
In the first line of the input, you are given a single integer *n* (1<=≤<=*n*<=≤<=100) — the length of the side of the cake.
Then follow *n* lines, each containing *n* characters. Empty cells are denoted with '.', while cells that contain chocolates are denoted by 'C'.
|
Print the value of Famil Door's happiness, i.e. the number of pairs of chocolate pieces that share the same row or the same column.
|
[
"3\n.CC\nC..\nC.C\n",
"4\nCC..\nC..C\n.CC.\n.CC.\n"
] |
[
"4\n",
"9\n"
] |
If we number rows from top to bottom and columns from left to right, then, pieces that share the same row in the first sample are:
1. (1, 2) and (1, 3) 1. (3, 1) and (3, 3) 1. (2, 1) and (3, 1) 1. (1, 3) and (3, 3)
| 500
|
[
{
"input": "3\n.CC\nC..\nC.C",
"output": "4"
},
{
"input": "4\nCC..\nC..C\n.CC.\n.CC.",
"output": "9"
},
{
"input": "5\n.CCCC\nCCCCC\n.CCC.\nCC...\n.CC.C",
"output": "46"
},
{
"input": "7\n.CC..CC\nCC.C..C\nC.C..C.\nC...C.C\nCCC.CCC\n.CC...C\n.C.CCC.",
"output": "84"
},
{
"input": "8\n..C....C\nC.CCC.CC\n.C..C.CC\nCC......\nC..C..CC\nC.C...C.\nC.C..C..\nC...C.C.",
"output": "80"
},
{
"input": "9\n.C...CCCC\nC.CCCC...\n....C..CC\n.CC.CCC..\n.C.C..CC.\nC...C.CCC\nCCC.C...C\nCCCC....C\n..C..C..C",
"output": "144"
},
{
"input": "10\n..C..C.C..\n..CC..C.CC\n.C.C...C.C\n..C.CC..CC\n....C..C.C\n...C..C..C\nCC.CC....C\n..CCCC.C.C\n..CC.CCC..\nCCCC..C.CC",
"output": "190"
},
{
"input": "11\nC.CC...C.CC\nCC.C....C.C\n.....C..CCC\n....C.CC.CC\nC..C..CC...\nC...C...C..\nCC..CCC.C.C\n..C.CC.C..C\nC...C.C..CC\n.C.C..CC..C\n.C.C.CC.C..",
"output": "228"
},
{
"input": "21\n...CCC.....CC..C..C.C\n..CCC...CC...CC.CCC.C\n....C.C.C..CCC..C.C.C\n....CCC..C..C.CC.CCC.\n...CCC.C..C.C.....CCC\n.CCC.....CCC..C...C.C\nCCCC.C...CCC.C...C.CC\nC..C...C.CCC..CC..C..\nC...CC..C.C.CC..C.CC.\nCC..CCCCCCCCC..C....C\n.C..CCCC.CCCC.CCC...C\nCCC...CCC...CCC.C..C.\n.CCCCCCCC.CCCC.CC.C..\n.C.C..C....C.CCCCCC.C\n...C...C.CCC.C.CC..C.\nCCC...CC..CC...C..C.C\n.CCCCC...C.C..C.CC.C.\n..CCC.C.C..CCC.CCC...\n..C..C.C.C.....CC.C..\n.CC.C...C.CCC.C....CC\n...C..CCCC.CCC....C..",
"output": "2103"
},
{
"input": "20\nC.C.CCC.C....C.CCCCC\nC.CC.C..CCC....CCCC.\n.CCC.CC...CC.CCCCCC.\n.C...CCCC..C....CCC.\n.C..CCCCCCC.C.C.....\nC....C.C..CCC.C..CCC\n...C.C.CC..CC..CC...\nC...CC.C.CCCCC....CC\n.CC.C.CCC....C.CCC.C\nCC...CC...CC..CC...C\nC.C..CC.C.CCCC.C.CC.\n..CCCCC.C.CCC..CCCC.\n....C..C..C.CC...C.C\nC..CCC..CC..C.CC..CC\n...CC......C.C..C.C.\nCC.CCCCC.CC.CC...C.C\n.C.CC..CC..CCC.C.CCC\nC..C.CC....C....C...\n..CCC..CCC...CC..C.C\n.C.CCC.CCCCCCCCC..CC",
"output": "2071"
},
{
"input": "17\nCCC..C.C....C.C.C\n.C.CC.CC...CC..C.\n.CCCC.CC.C..CCC.C\n...CCC.CC.CCC.C.C\nCCCCCCCC..C.CC.CC\n...C..C....C.CC.C\nCC....CCC...C.CC.\n.CC.C.CC..C......\n.CCCCC.C.CC.CCCCC\n..CCCC...C..CC..C\nC.CC.C.CC..C.C.C.\nC..C..C..CCC.C...\n.C..CCCC..C......\n.CC.C...C..CC.CC.\nC..C....CC...CC..\nC.CC.CC..C.C..C..\nCCCC...C.C..CCCC.",
"output": "1160"
},
{
"input": "15\nCCCC.C..CCC....\nCCCCCC.CC.....C\n...C.CC.C.C.CC.\nCCCCCCC..C..C..\nC..CCC..C.CCCC.\n.CC..C.C.C.CC.C\n.C.C..C..C.C..C\n...C...C..CCCC.\n.....C.C..CC...\nCC.C.C..CC.C..C\n..CCCCC..CCC...\nCC.CC.C..CC.CCC\n..CCC...CC.C..C\nCC..C.C..CCC..C\n.C.C....CCC...C",
"output": "789"
},
{
"input": "1\n.",
"output": "0"
},
{
"input": "3\n.CC\nC..\nC.C",
"output": "4"
},
{
"input": "13\nC.C...C.C.C..\nCC.CCCC.CC..C\n.C.CCCCC.CC..\nCCCC..C...C..\n...CC.C.C...C\n.CC.CCC...CC.\nCC.CCCCCC....\n.C...C..CC..C\nCCCC.CC...C..\n.C.CCC..C.CC.\n..C...CC..C.C\n..C.CCC..CC.C\n.C...CCC.CC.C",
"output": "529"
},
{
"input": "16\n.C.C.C.C.C...C.C\n..C..C.CCCCCC...\n..C.C.C.C..C..C.\n.CC....C.CCC..C.\n.C.CCC..C....CCC\nCC..C.CC..C.C.CC\n...C..C..CC..CC.\n.CCC..C.CC.C.C..\n.CC.C..........C\nC...C....CC..C..\nC.CCC.C..C..C...\n.CCCCCCCCCCCC..C\n..C.C.CC.CC.CCC.\nCC..C.C....C..CC\nC.CCC..C..C.C.CC\n.C.CCC.CC..CCC.C",
"output": "874"
},
{
"input": "2\nCC\nCC",
"output": "4"
},
{
"input": "3\nC..\nC..\nC..",
"output": "3"
}
] | 1,699,280,244
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 48
| 46
| 0
|
import math
n = int(input())
a = []
for i in range(n):
x = input()
a.append(x)
# row count
r = 0
for i in range(n):
x = a[i].count('C')
r+=math.comb(x,2)
# column count
c = 0
for i in range(n):
x = 0
for j in range(n):
if a[j][i]=='C':
x+=1
c+=math.comb(x,2)
print(r+c)
|
Title: Far Relative’s Birthday Cake
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird!
The cake is a *n*<=×<=*n* square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly started to put the chocolates on the cake. The value of Famil Door's happiness will be equal to the number of pairs of cells with chocolates that are in the same row or in the same column of the cake. Famil Doors's family is wondering what is the amount of happiness of Famil going to be?
Please, note that any pair can be counted no more than once, as two different cells can't share both the same row and the same column.
Input Specification:
In the first line of the input, you are given a single integer *n* (1<=≤<=*n*<=≤<=100) — the length of the side of the cake.
Then follow *n* lines, each containing *n* characters. Empty cells are denoted with '.', while cells that contain chocolates are denoted by 'C'.
Output Specification:
Print the value of Famil Door's happiness, i.e. the number of pairs of chocolate pieces that share the same row or the same column.
Demo Input:
['3\n.CC\nC..\nC.C\n', '4\nCC..\nC..C\n.CC.\n.CC.\n']
Demo Output:
['4\n', '9\n']
Note:
If we number rows from top to bottom and columns from left to right, then, pieces that share the same row in the first sample are:
1. (1, 2) and (1, 3) 1. (3, 1) and (3, 3) 1. (2, 1) and (3, 1) 1. (1, 3) and (3, 3)
|
```python
import math
n = int(input())
a = []
for i in range(n):
x = input()
a.append(x)
# row count
r = 0
for i in range(n):
x = a[i].count('C')
r+=math.comb(x,2)
# column count
c = 0
for i in range(n):
x = 0
for j in range(n):
if a[j][i]=='C':
x+=1
c+=math.comb(x,2)
print(r+c)
```
| 3
|
|
621
|
A
|
Wet Shark and Odd and Even
|
PROGRAMMING
| 900
|
[
"implementation"
] | null | null |
Today, Wet Shark is given *n* integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark.
Note, that if Wet Shark uses no integers from the *n* integers, the sum is an even integer 0.
|
The first line of the input contains one integer, *n* (1<=≤<=*n*<=≤<=100<=000). The next line contains *n* space separated integers given to Wet Shark. Each of these integers is in range from 1 to 109, inclusive.
|
Print the maximum possible even sum that can be obtained if we use some of the given integers.
|
[
"3\n1 2 3\n",
"5\n999999999 999999999 999999999 999999999 999999999\n"
] |
[
"6",
"3999999996"
] |
In the first sample, we can simply take all three integers for a total sum of 6.
In the second sample Wet Shark should take any four out of five integers 999 999 999.
| 500
|
[
{
"input": "3\n1 2 3",
"output": "6"
},
{
"input": "5\n999999999 999999999 999999999 999999999 999999999",
"output": "3999999996"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "15\n39 52 88 78 46 95 84 98 55 3 68 42 6 18 98",
"output": "870"
},
{
"input": "15\n59 96 34 48 8 72 67 90 15 85 7 90 97 47 25",
"output": "840"
},
{
"input": "15\n87 37 91 29 58 45 51 74 70 71 47 38 91 89 44",
"output": "922"
},
{
"input": "15\n11 81 49 7 11 14 30 67 29 50 90 81 77 18 59",
"output": "674"
},
{
"input": "15\n39 21 95 89 73 90 9 55 85 32 30 21 68 59 82",
"output": "848"
},
{
"input": "15\n59 70 48 54 26 67 84 39 40 18 77 69 70 88 93",
"output": "902"
},
{
"input": "15\n87 22 98 32 88 36 72 31 100 97 17 16 60 22 20",
"output": "798"
},
{
"input": "15\n15 63 51 13 37 9 43 19 55 79 57 60 50 59 31",
"output": "632"
},
{
"input": "1\n4",
"output": "4"
},
{
"input": "2\n1 4",
"output": "4"
},
{
"input": "3\n1 2 4",
"output": "6"
},
{
"input": "2\n9 3",
"output": "12"
},
{
"input": "2\n1000000000 1001",
"output": "1000000000"
},
{
"input": "3\n1 8 4",
"output": "12"
},
{
"input": "3\n7 4 4",
"output": "8"
},
{
"input": "5\n2 3 4 5 3",
"output": "14"
},
{
"input": "2\n4 5",
"output": "4"
},
{
"input": "3\n2 4 5",
"output": "6"
},
{
"input": "3\n2 2 3",
"output": "4"
},
{
"input": "2\n2 3",
"output": "2"
},
{
"input": "4\n2 3 7 7",
"output": "16"
},
{
"input": "2\n999999999 2",
"output": "2"
},
{
"input": "2\n2 5",
"output": "2"
},
{
"input": "3\n5 3 1",
"output": "8"
},
{
"input": "4\n3 2 5 7",
"output": "14"
}
] | 1,602,430,491
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 87
| 233
| 12,083,200
|
n=int(input())
a=list(map(int,input().split()))
s=sum(a)
if s%2==0:
print(s)
else:
odd=[]
for i in range(n):
if a[i]%2!=0:
odd.append(a[i])
x=min(odd)
s-=x
print(s)
|
Title: Wet Shark and Odd and Even
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Today, Wet Shark is given *n* integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark.
Note, that if Wet Shark uses no integers from the *n* integers, the sum is an even integer 0.
Input Specification:
The first line of the input contains one integer, *n* (1<=≤<=*n*<=≤<=100<=000). The next line contains *n* space separated integers given to Wet Shark. Each of these integers is in range from 1 to 109, inclusive.
Output Specification:
Print the maximum possible even sum that can be obtained if we use some of the given integers.
Demo Input:
['3\n1 2 3\n', '5\n999999999 999999999 999999999 999999999 999999999\n']
Demo Output:
['6', '3999999996']
Note:
In the first sample, we can simply take all three integers for a total sum of 6.
In the second sample Wet Shark should take any four out of five integers 999 999 999.
|
```python
n=int(input())
a=list(map(int,input().split()))
s=sum(a)
if s%2==0:
print(s)
else:
odd=[]
for i in range(n):
if a[i]%2!=0:
odd.append(a[i])
x=min(odd)
s-=x
print(s)
```
| 3
|
|
0
|
none
|
none
|
none
| 0
|
[
"none"
] | null | null |
Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer *x* was given. The task was to add *x* to the sum of the digits of the number *x* written in decimal numeral system.
Since the number *n* on the board was small, Vova quickly guessed which *x* could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number *n* for all suitable values of *x* or determine that such *x* does not exist. Write such a program for Vova.
|
The first line contains integer *n* (1<=≤<=*n*<=≤<=109).
|
In the first line print one integer *k* — number of different values of *x* satisfying the condition.
In next *k* lines print these values in ascending order.
|
[
"21\n",
"20\n"
] |
[
"1\n15\n",
"0\n"
] |
In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such *x*.
| 0
|
[
{
"input": "21",
"output": "1\n15"
},
{
"input": "20",
"output": "0"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "1\n1"
},
{
"input": "3",
"output": "0"
},
{
"input": "100000001",
"output": "2\n99999937\n100000000"
},
{
"input": "1000000000",
"output": "1\n999999932"
},
{
"input": "999999979",
"output": "2\n999999899\n999999908"
},
{
"input": "9",
"output": "0"
},
{
"input": "10",
"output": "1\n5"
},
{
"input": "11",
"output": "1\n10"
},
{
"input": "39",
"output": "1\n33"
},
{
"input": "66",
"output": "1\n60"
},
{
"input": "75",
"output": "0"
},
{
"input": "100",
"output": "1\n86"
},
{
"input": "101",
"output": "2\n91\n100"
},
{
"input": "2014",
"output": "2\n1988\n2006"
},
{
"input": "999999994",
"output": "0"
}
] | 1,508,216,445
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 18
| 61
| 5,529,600
|
n = int( input() )
lim = max( 0 , n - 100 )
def cal( n ):
ret = n
while True :
if n == 0:
break
ret = ret + ( n %10 )
n = n // 10
return ret
ans = []
for i in range(lim,n):
if cal(i) == n:
ans.append(i)
print ( len(ans) )
print (*ans)
|
Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer *x* was given. The task was to add *x* to the sum of the digits of the number *x* written in decimal numeral system.
Since the number *n* on the board was small, Vova quickly guessed which *x* could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number *n* for all suitable values of *x* or determine that such *x* does not exist. Write such a program for Vova.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=109).
Output Specification:
In the first line print one integer *k* — number of different values of *x* satisfying the condition.
In next *k* lines print these values in ascending order.
Demo Input:
['21\n', '20\n']
Demo Output:
['1\n15\n', '0\n']
Note:
In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such *x*.
|
```python
n = int( input() )
lim = max( 0 , n - 100 )
def cal( n ):
ret = n
while True :
if n == 0:
break
ret = ret + ( n %10 )
n = n // 10
return ret
ans = []
for i in range(lim,n):
if cal(i) == n:
ans.append(i)
print ( len(ans) )
print (*ans)
```
| 3
|
|
59
|
A
|
Word
|
PROGRAMMING
| 800
|
[
"implementation",
"strings"
] |
A. Word
|
2
|
256
|
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
|
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
|
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
|
[
"HoUse\n",
"ViP\n",
"maTRIx\n"
] |
[
"house\n",
"VIP\n",
"matrix\n"
] |
none
| 500
|
[
{
"input": "HoUse",
"output": "house"
},
{
"input": "ViP",
"output": "VIP"
},
{
"input": "maTRIx",
"output": "matrix"
},
{
"input": "BNHWpnpawg",
"output": "bnhwpnpawg"
},
{
"input": "VTYGP",
"output": "VTYGP"
},
{
"input": "CHNenu",
"output": "chnenu"
},
{
"input": "ERPZGrodyu",
"output": "erpzgrodyu"
},
{
"input": "KSXBXWpebh",
"output": "KSXBXWPEBH"
},
{
"input": "qvxpqullmcbegsdskddortcvxyqlbvxmmkhevovnezubvpvnrcajpxraeaxizgaowtfkzywvhnbgzsxbhkaipcmoumtikkiyyaiv",
"output": "qvxpqullmcbegsdskddortcvxyqlbvxmmkhevovnezubvpvnrcajpxraeaxizgaowtfkzywvhnbgzsxbhkaipcmoumtikkiyyaiv"
},
{
"input": "Amnhaxtaopjzrkqlbroiyipitndczpunwygstmzevgyjdzyanxkdqnvgkikfabwouwkkbzuiuvgvxgpizsvqsbwepktpdrgdkmfd",
"output": "amnhaxtaopjzrkqlbroiyipitndczpunwygstmzevgyjdzyanxkdqnvgkikfabwouwkkbzuiuvgvxgpizsvqsbwepktpdrgdkmfd"
},
{
"input": "ISAGFJFARYFBLOPQDSHWGMCNKMFTLVFUGNJEWGWNBLXUIATXEkqiettmmjgydwcpafqrppdsrrrtguinqbgmzzfqwonkpgpcwenv",
"output": "isagfjfaryfblopqdshwgmcnkmftlvfugnjewgwnblxuiatxekqiettmmjgydwcpafqrppdsrrrtguinqbgmzzfqwonkpgpcwenv"
},
{
"input": "XHRPXZEGHSOCJPICUIXSKFUZUPYTSGJSDIYBCMNMNBPNDBXLXBzhbfnqvwcffvrdhtickyqhupmcehlsyvncqmfhautvxudqdhgg",
"output": "xhrpxzeghsocjpicuixskfuzupytsgjsdiybcmnmnbpndbxlxbzhbfnqvwcffvrdhtickyqhupmcehlsyvncqmfhautvxudqdhgg"
},
{
"input": "RJIQZMJCIMSNDBOHBRAWIENODSALETAKGKPYUFGVEFGCBRENZGAdkcetqjljtmttlonpekcovdzebzdkzggwfsxhapmjkdbuceak",
"output": "RJIQZMJCIMSNDBOHBRAWIENODSALETAKGKPYUFGVEFGCBRENZGADKCETQJLJTMTTLONPEKCOVDZEBZDKZGGWFSXHAPMJKDBUCEAK"
},
{
"input": "DWLWOBHNMMGTFOLFAECKBRNNGLYLYDXTGTVRLMEESZOIUATZZZXUFUZDLSJXMEVRTESSFBWLNZZCLCQWEVNNUCXYVHNGNXHCBDFw",
"output": "DWLWOBHNMMGTFOLFAECKBRNNGLYLYDXTGTVRLMEESZOIUATZZZXUFUZDLSJXMEVRTESSFBWLNZZCLCQWEVNNUCXYVHNGNXHCBDFW"
},
{
"input": "NYCNHJWGBOCOTSPETKKHVWFGAQYNHOVJWJHCIEFOUQZXOYUIEQDZALFKTEHTVDBVJMEUBJUBCMNVPWGDPNCHQHZJRCHYRFPVIGUB",
"output": "NYCNHJWGBOCOTSPETKKHVWFGAQYNHOVJWJHCIEFOUQZXOYUIEQDZALFKTEHTVDBVJMEUBJUBCMNVPWGDPNCHQHZJRCHYRFPVIGUB"
},
{
"input": "igxoixiecetohtgjgbqzvlaobkhstejxdklghowtvwunnnvauriohuspsdmpzckprwajyxldoyckgjivjpmbfqtszmtocovxwge",
"output": "igxoixiecetohtgjgbqzvlaobkhstejxdklghowtvwunnnvauriohuspsdmpzckprwajyxldoyckgjivjpmbfqtszmtocovxwge"
},
{
"input": "Ykkekrsqolzryiwsmdlnbmfautxxxauoojrddvwklgnlyrfcvhorrzbmtcrvpaypqhcffdqhwziipyyskcmztjprjqvmzzqhqnw",
"output": "ykkekrsqolzryiwsmdlnbmfautxxxauoojrddvwklgnlyrfcvhorrzbmtcrvpaypqhcffdqhwziipyyskcmztjprjqvmzzqhqnw"
},
{
"input": "YQOMLKYAORUQQUCQZCDYMIVDHGWZFFRMUVTAWCHERFPMNRYRIkgqrciokgajamehmcxgerpudvsqyonjonsxgbnefftzmygncks",
"output": "yqomlkyaoruqqucqzcdymivdhgwzffrmuvtawcherfpmnryrikgqrciokgajamehmcxgerpudvsqyonjonsxgbnefftzmygncks"
},
{
"input": "CDOZDPBVVVHNBJVBYHEOXWFLJKRWJCAJMIFCOZWWYFKVWOGTVJcuusigdqfkumewjtdyitveeiaybwrhomrwmpdipjwiuxfnwuz",
"output": "CDOZDPBVVVHNBJVBYHEOXWFLJKRWJCAJMIFCOZWWYFKVWOGTVJCUUSIGDQFKUMEWJTDYITVEEIAYBWRHOMRWMPDIPJWIUXFNWUZ"
},
{
"input": "WHIUVEXHVOOIJIDVJVPQUBJMEVPMPDKQWJKFBZSGSKUXMIPPMJWuckzcpxosodcjaaakvlxpbiigsiauviilylnnqlyucziihqg",
"output": "WHIUVEXHVOOIJIDVJVPQUBJMEVPMPDKQWJKFBZSGSKUXMIPPMJWUCKZCPXOSODCJAAAKVLXPBIIGSIAUVIILYLNNQLYUCZIIHQG"
},
{
"input": "VGHUNFOXKETUYMZDJNGTAOIOANYXSGYNFOGOFFLDAWEUKYFOZXCJTCAFXZYLQZERYZLRSQXYQGAPCSUDPMEYTNCTTTMFAGVDWBO",
"output": "VGHUNFOXKETUYMZDJNGTAOIOANYXSGYNFOGOFFLDAWEUKYFOZXCJTCAFXZYLQZERYZLRSQXYQGAPCSUDPMEYTNCTTTMFAGVDWBO"
},
{
"input": "EDUANHCQDOCJHFONTTSWBUJSTTIXBIXMAIUFSGFLXWAYIURTVAVZPYQDLAWIGCLMPHXCEFCJPFAAHXVNGQUFNHADAIUAZIDMHDd",
"output": "EDUANHCQDOCJHFONTTSWBUJSTTIXBIXMAIUFSGFLXWAYIURTVAVZPYQDLAWIGCLMPHXCEFCJPFAAHXVNGQUFNHADAIUAZIDMHDD"
},
{
"input": "EBWOVSNLYTWWXrnovgugogtjahnmatomubebyxakas",
"output": "ebwovsnlytwwxrnovgugogtjahnmatomubebyxakas"
},
{
"input": "AORNNDKTRLRVGDPXJKXFTPFpopuzrlqumrxssskvbm",
"output": "AORNNDKTRLRVGDPXJKXFTPFPOPUZRLQUMRXSSSKVBM"
},
{
"input": "DBBZJCWQEVGYHEEUHJAWRHBDPsnplijbwtdibqrrheebfxqcvn",
"output": "dbbzjcwqevgyheeuhjawrhbdpsnplijbwtdibqrrheebfxqcvn"
},
{
"input": "t",
"output": "t"
},
{
"input": "N",
"output": "N"
},
{
"input": "kv",
"output": "kv"
},
{
"input": "Ur",
"output": "ur"
},
{
"input": "CN",
"output": "CN"
}
] | 1,672,810,310
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 30
| 122
| 0
|
st = input()
u=0
l = 0
for i in st:
if i == i.upper():
u+=1
else:
l+=1
if u>l:
print(st.upper())
else:
print(st.lower())
|
Title: Word
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
Input Specification:
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Output Specification:
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
Demo Input:
['HoUse\n', 'ViP\n', 'maTRIx\n']
Demo Output:
['house\n', 'VIP\n', 'matrix\n']
Note:
none
|
```python
st = input()
u=0
l = 0
for i in st:
if i == i.upper():
u+=1
else:
l+=1
if u>l:
print(st.upper())
else:
print(st.lower())
```
| 3.9695
|
546
|
A
|
Soldier and Bananas
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation",
"math"
] | null | null |
A soldier wants to buy *w* bananas in the shop. He has to pay *k* dollars for the first banana, 2*k* dollars for the second one and so on (in other words, he has to pay *i*·*k* dollars for the *i*-th banana).
He has *n* dollars. How many dollars does he have to borrow from his friend soldier to buy *w* bananas?
|
The first line contains three positive integers *k*,<=*n*,<=*w* (1<=<=≤<=<=*k*,<=*w*<=<=≤<=<=1000, 0<=≤<=*n*<=≤<=109), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants.
|
Output one integer — the amount of dollars that the soldier must borrow from his friend. If he doesn't have to borrow money, output 0.
|
[
"3 17 4\n"
] |
[
"13"
] |
none
| 500
|
[
{
"input": "3 17 4",
"output": "13"
},
{
"input": "1 2 1",
"output": "0"
},
{
"input": "1 1 1",
"output": "0"
},
{
"input": "1 5 6",
"output": "16"
},
{
"input": "1 1000000000 1",
"output": "0"
},
{
"input": "1000 0 1000",
"output": "500500000"
},
{
"input": "859 453892 543",
"output": "126416972"
},
{
"input": "1000 1000000000 1000",
"output": "0"
},
{
"input": "1000 500500000 1000",
"output": "0"
},
{
"input": "1000 500500001 1000",
"output": "0"
},
{
"input": "1000 500499999 1000",
"output": "1"
},
{
"input": "634 87973 214",
"output": "14497197"
},
{
"input": "432 10000 241",
"output": "12587552"
},
{
"input": "111 111111111 111",
"output": "0"
},
{
"input": "20 43 3",
"output": "77"
}
] | 1,697,311,711
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 15
| 92
| 0
|
k,n,w=map(lambda x: int(x), input().split())
temp=k*(1+w)*w//2-n
print(temp if temp>0 else 0)
|
Title: Soldier and Bananas
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A soldier wants to buy *w* bananas in the shop. He has to pay *k* dollars for the first banana, 2*k* dollars for the second one and so on (in other words, he has to pay *i*·*k* dollars for the *i*-th banana).
He has *n* dollars. How many dollars does he have to borrow from his friend soldier to buy *w* bananas?
Input Specification:
The first line contains three positive integers *k*,<=*n*,<=*w* (1<=<=≤<=<=*k*,<=*w*<=<=≤<=<=1000, 0<=≤<=*n*<=≤<=109), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants.
Output Specification:
Output one integer — the amount of dollars that the soldier must borrow from his friend. If he doesn't have to borrow money, output 0.
Demo Input:
['3 17 4\n']
Demo Output:
['13']
Note:
none
|
```python
k,n,w=map(lambda x: int(x), input().split())
temp=k*(1+w)*w//2-n
print(temp if temp>0 else 0)
```
| 3
|
|
920
|
E
|
Connected Components?
|
PROGRAMMING
| 2,100
|
[
"data structures",
"dfs and similar",
"dsu",
"graphs"
] | null | null |
You are given an undirected graph consisting of *n* vertices and edges. Instead of giving you the edges that exist in the graph, we give you *m* unordered pairs (*x*,<=*y*) such that there is no edge between *x* and *y*, and if some pair of vertices is not listed in the input, then there is an edge between these vertices.
You have to find the number of connected components in the graph and the size of each component. A connected component is a set of vertices *X* such that for every two vertices from this set there exists at least one path in the graph connecting these vertices, but adding any other vertex to *X* violates this rule.
|
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=200000, ).
Then *m* lines follow, each containing a pair of integers *x* and *y* (1<=≤<=*x*,<=*y*<=≤<=*n*, *x*<=≠<=*y*) denoting that there is no edge between *x* and *y*. Each pair is listed at most once; (*x*,<=*y*) and (*y*,<=*x*) are considered the same (so they are never listed in the same test). If some pair of vertices is not listed in the input, then there exists an edge between those vertices.
|
Firstly print *k* — the number of connected components in this graph.
Then print *k* integers — the sizes of components. You should output these integers in non-descending order.
|
[
"5 5\n1 2\n3 4\n3 2\n4 2\n2 5\n"
] |
[
"2\n1 4 "
] |
none
| 0
|
[
{
"input": "5 5\n1 2\n3 4\n3 2\n4 2\n2 5",
"output": "2\n1 4 "
},
{
"input": "8 15\n2 1\n4 5\n2 4\n3 4\n2 5\n3 5\n2 6\n3 6\n5 6\n4 6\n2 7\n3 8\n2 8\n3 7\n6 7",
"output": "1\n8 "
},
{
"input": "12 58\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 10\n1 11\n1 12\n2 3\n2 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n3 4\n3 5\n3 6\n3 7\n3 8\n3 9\n3 10\n3 11\n3 12\n4 5\n4 6\n4 8\n4 11\n4 12\n5 6\n5 7\n5 8\n5 9\n5 10\n5 11\n6 7\n6 8\n6 9\n6 10\n6 11\n6 12\n7 8\n7 9\n7 10\n7 11\n7 12\n8 9\n8 10\n8 11\n9 10\n9 11\n9 12\n10 12",
"output": "4\n1 1 1 9 "
},
{
"input": "5 7\n1 2\n2 3\n3 4\n1 5\n2 5\n3 5\n4 5",
"output": "2\n1 4 "
},
{
"input": "6 10\n1 2\n1 3\n1 4\n1 6\n2 3\n2 4\n2 5\n3 5\n3 6\n4 6",
"output": "1\n6 "
},
{
"input": "8 23\n1 2\n1 4\n1 6\n1 8\n2 3\n2 4\n2 5\n2 6\n2 7\n2 8\n3 4\n3 5\n3 6\n3 7\n3 8\n4 5\n4 6\n4 7\n5 6\n5 7\n5 8\n6 8\n7 8",
"output": "3\n1 2 5 "
},
{
"input": "4 3\n2 1\n3 1\n4 2",
"output": "1\n4 "
},
{
"input": "6 9\n1 2\n1 4\n1 5\n2 3\n2 5\n2 6\n3 5\n4 6\n5 6",
"output": "1\n6 "
},
{
"input": "2 0",
"output": "1\n2 "
},
{
"input": "8 18\n1 4\n1 6\n1 7\n2 3\n2 4\n2 5\n2 6\n2 7\n2 8\n3 4\n3 8\n4 7\n5 6\n5 7\n5 8\n6 7\n6 8\n7 8",
"output": "1\n8 "
},
{
"input": "4 3\n1 2\n3 1\n4 3",
"output": "1\n4 "
},
{
"input": "8 23\n2 7\n7 5\n8 6\n8 2\n6 3\n3 5\n8 1\n8 4\n8 3\n3 4\n1 2\n2 6\n5 2\n6 4\n7 6\n6 5\n7 8\n7 1\n5 4\n3 7\n1 4\n3 1\n3 2",
"output": "3\n1 3 4 "
},
{
"input": "4 4\n2 1\n3 1\n1 4\n3 2",
"output": "2\n1 3 "
},
{
"input": "2 1\n1 2",
"output": "2\n1 1 "
},
{
"input": "4 3\n1 3\n1 4\n2 3",
"output": "1\n4 "
},
{
"input": "3 1\n2 3",
"output": "1\n3 "
},
{
"input": "5 4\n1 4\n2 3\n4 3\n4 2",
"output": "1\n5 "
},
{
"input": "10 36\n7 8\n7 9\n2 3\n2 4\n2 5\n9 10\n2 7\n2 8\n2 9\n2 10\n4 5\n4 6\n4 7\n4 8\n4 10\n6 7\n6 9\n6 10\n1 2\n1 3\n1 4\n8 9\n1 5\n8 10\n1 7\n1 8\n1 9\n1 10\n3 4\n3 6\n3 7\n3 9\n5 6\n5 7\n5 9\n5 10",
"output": "2\n2 8 "
},
{
"input": "10 34\n7 10\n2 3\n2 4\n2 5\n9 10\n2 7\n2 8\n2 10\n4 5\n4 6\n4 7\n4 8\n4 9\n6 7\n6 8\n6 9\n6 10\n1 2\n1 3\n1 5\n8 9\n1 6\n1 7\n1 8\n1 9\n1 10\n3 4\n3 5\n3 6\n3 8\n3 10\n5 6\n5 9\n5 10",
"output": "1\n10 "
},
{
"input": "12 56\n9 5\n2 6\n9 8\n5 4\n1 11\n1 6\n4 1\n1 10\n10 3\n8 4\n5 1\n9 1\n5 10\n2 7\n11 5\n6 11\n5 8\n7 6\n3 2\n12 7\n8 6\n12 3\n1 2\n8 1\n2 11\n10 12\n4 6\n5 12\n2 4\n10 2\n7 3\n12 11\n7 10\n7 1\n9 2\n11 9\n9 10\n8 7\n11 3\n7 9\n5 7\n4 12\n3 5\n12 2\n4 10\n9 12\n5 2\n9 4\n11 8\n8 2\n3 6\n4 11\n8 10\n6 10\n3 9\n3 4",
"output": "3\n1 4 7 "
},
{
"input": "11 49\n10 3\n6 4\n11 3\n7 6\n10 6\n6 1\n4 3\n10 2\n4 5\n9 2\n10 1\n5 7\n1 5\n9 7\n2 11\n8 6\n3 9\n2 5\n9 5\n6 5\n1 4\n11 9\n1 7\n8 10\n3 6\n3 7\n11 5\n6 9\n4 10\n8 7\n4 9\n8 2\n4 2\n8 11\n7 4\n9 10\n8 1\n10 7\n3 2\n5 8\n8 9\n1 3\n2 7\n10 11\n5 3\n10 5\n4 11\n1 11\n8 3",
"output": "5\n1 1 1 2 6 "
}
] | 1,629,621,658
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 84
| 312
| 39,219,200
|
import io, os, sys
if 'PyPy' in sys.version:
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def strput():
return input().decode()
else:
input = sys.stdin.readline
def strput():
return input()
# code starts here
class UnionFind:
size = 0
par, ext = [], []
def __init__(self, n):
for i in range(n):
self.par.append(i)
self.ext.append(1)
self.size = n
def find(self, u):
while u != self.par[u]:
u = self.par[u]
return u
def unite(self, u, v):
u, v = self.find(u), self.find(v)
if u == v:
return False
if self.ext[u] < self.ext[v]:
u, v = v, u
self.ext[u] += self.ext[v]
self.par[v] = u
self.size -= 1
return True
def main():
n, m = [int(x) for x in input().split()]
edge = [[] for x in range(n)]
for i in range(m):
u, v = [int(x) - 1 for x in input().split()]
if u < v:
u, v = v, u
edge[u].append(v)
dsu = UnionFind(n)
complist = set()
for u in range(n):
count = dict()
for v in edge[u]:
root = dsu.find(v)
count[root] = count.get(root, 0) + 1
tojoin = []
for comp in complist:
root = dsu.find(comp)
if count.get(root, 0) < dsu.ext[root]:
tojoin.append(root)
for v in tojoin:
if dsu.unite(v, u):
complist.remove(v)
complist.add(dsu.find(u))
print(len(complist))
ans = [dsu.ext[x] for x in complist]
ans.sort()
print(*ans)
if __name__ == "__main__":
main()
|
Title: Connected Components?
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given an undirected graph consisting of *n* vertices and edges. Instead of giving you the edges that exist in the graph, we give you *m* unordered pairs (*x*,<=*y*) such that there is no edge between *x* and *y*, and if some pair of vertices is not listed in the input, then there is an edge between these vertices.
You have to find the number of connected components in the graph and the size of each component. A connected component is a set of vertices *X* such that for every two vertices from this set there exists at least one path in the graph connecting these vertices, but adding any other vertex to *X* violates this rule.
Input Specification:
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=200000, ).
Then *m* lines follow, each containing a pair of integers *x* and *y* (1<=≤<=*x*,<=*y*<=≤<=*n*, *x*<=≠<=*y*) denoting that there is no edge between *x* and *y*. Each pair is listed at most once; (*x*,<=*y*) and (*y*,<=*x*) are considered the same (so they are never listed in the same test). If some pair of vertices is not listed in the input, then there exists an edge between those vertices.
Output Specification:
Firstly print *k* — the number of connected components in this graph.
Then print *k* integers — the sizes of components. You should output these integers in non-descending order.
Demo Input:
['5 5\n1 2\n3 4\n3 2\n4 2\n2 5\n']
Demo Output:
['2\n1 4 ']
Note:
none
|
```python
import io, os, sys
if 'PyPy' in sys.version:
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def strput():
return input().decode()
else:
input = sys.stdin.readline
def strput():
return input()
# code starts here
class UnionFind:
size = 0
par, ext = [], []
def __init__(self, n):
for i in range(n):
self.par.append(i)
self.ext.append(1)
self.size = n
def find(self, u):
while u != self.par[u]:
u = self.par[u]
return u
def unite(self, u, v):
u, v = self.find(u), self.find(v)
if u == v:
return False
if self.ext[u] < self.ext[v]:
u, v = v, u
self.ext[u] += self.ext[v]
self.par[v] = u
self.size -= 1
return True
def main():
n, m = [int(x) for x in input().split()]
edge = [[] for x in range(n)]
for i in range(m):
u, v = [int(x) - 1 for x in input().split()]
if u < v:
u, v = v, u
edge[u].append(v)
dsu = UnionFind(n)
complist = set()
for u in range(n):
count = dict()
for v in edge[u]:
root = dsu.find(v)
count[root] = count.get(root, 0) + 1
tojoin = []
for comp in complist:
root = dsu.find(comp)
if count.get(root, 0) < dsu.ext[root]:
tojoin.append(root)
for v in tojoin:
if dsu.unite(v, u):
complist.remove(v)
complist.add(dsu.find(u))
print(len(complist))
ans = [dsu.ext[x] for x in complist]
ans.sort()
print(*ans)
if __name__ == "__main__":
main()
```
| 3
|
|
677
|
A
|
Vanya and Fence
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height of the *i*-th person is equal to *a**i*.
Consider the width of the person walking as usual to be equal to 1, while the width of the bent person is equal to 2. Friends want to talk to each other while walking, so they would like to walk in a single row. What is the minimum width of the road, such that friends can walk in a row and remain unattended by the guard?
|
The first line of the input contains two integers *n* and *h* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*h*<=≤<=1000) — the number of friends and the height of the fence, respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2*h*), the *i*-th of them is equal to the height of the *i*-th person.
|
Print a single integer — the minimum possible valid width of the road.
|
[
"3 7\n4 5 14\n",
"6 1\n1 1 1 1 1 1\n",
"6 5\n7 6 8 9 10 5\n"
] |
[
"4\n",
"6\n",
"11\n"
] |
In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4.
In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough.
In the third sample, all the persons have to bend, except the last one. The required minimum width of the road is equal to 2 + 2 + 2 + 2 + 2 + 1 = 11.
| 500
|
[
{
"input": "3 7\n4 5 14",
"output": "4"
},
{
"input": "6 1\n1 1 1 1 1 1",
"output": "6"
},
{
"input": "6 5\n7 6 8 9 10 5",
"output": "11"
},
{
"input": "10 420\n214 614 297 675 82 740 174 23 255 15",
"output": "13"
},
{
"input": "10 561\n657 23 1096 487 785 66 481 554 1000 821",
"output": "15"
},
{
"input": "100 342\n478 143 359 336 162 333 385 515 117 496 310 538 469 539 258 676 466 677 1 296 150 560 26 213 627 221 255 126 617 174 279 178 24 435 70 145 619 46 669 566 300 67 576 251 58 176 441 564 569 194 24 669 73 262 457 259 619 78 400 579 222 626 269 47 80 315 160 194 455 186 315 424 197 246 683 220 68 682 83 233 290 664 273 598 362 305 674 614 321 575 362 120 14 534 62 436 294 351 485 396",
"output": "144"
},
{
"input": "100 290\n244 49 276 77 449 261 468 458 201 424 9 131 300 88 432 394 104 77 13 289 435 259 111 453 168 394 156 412 351 576 178 530 81 271 228 564 125 328 42 372 205 61 180 471 33 360 567 331 222 318 241 117 529 169 188 484 202 202 299 268 246 343 44 364 333 494 59 236 84 485 50 8 428 8 571 227 205 310 210 9 324 472 368 490 114 84 296 305 411 351 569 393 283 120 510 171 232 151 134 366",
"output": "145"
},
{
"input": "1 1\n1",
"output": "1"
},
{
"input": "1 1\n2",
"output": "2"
},
{
"input": "46 71\n30 26 56 138 123 77 60 122 73 45 79 10 130 3 14 1 38 46 128 50 82 16 32 68 28 98 62 106 2 49 131 11 114 39 139 70 40 50 45 137 33 30 35 136 135 19",
"output": "63"
},
{
"input": "20 723\n212 602 293 591 754 91 1135 640 80 495 845 928 1399 498 926 1431 1226 869 814 1386",
"output": "31"
},
{
"input": "48 864\n843 1020 751 1694 18 1429 1395 1174 272 1158 1628 1233 1710 441 765 561 778 748 1501 1200 563 1263 1398 1687 1518 1640 1591 839 500 466 1603 1587 1201 1209 432 868 1159 639 649 628 9 91 1036 147 896 1557 941 518",
"output": "75"
},
{
"input": "26 708\n549 241 821 734 945 1161 566 1268 216 30 1142 730 529 1014 255 168 796 1148 89 113 1328 286 743 871 1259 1397",
"output": "41"
},
{
"input": "75 940\n1620 1745 1599 441 64 1466 1496 1239 1716 1475 778 106 1136 1212 1261 444 781 257 1071 747 626 232 609 1544 682 1326 469 1361 1460 1450 1207 1319 922 625 1737 1057 1698 592 692 80 1016 541 1254 201 682 1007 847 206 1066 809 259 109 240 1611 219 1455 1326 1377 1827 786 42 1002 1382 1592 543 1866 1198 334 1524 1760 340 1566 955 257 1118",
"output": "116"
}
] | 1,693,554,215
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 29
| 93
| 0
|
n,h=map(int,input().split())
a=list(map(int,input().split()))
w=n
for i in range(n):
if a[i]>h:
w+=1
print(w)
|
Title: Vanya and Fence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height of the *i*-th person is equal to *a**i*.
Consider the width of the person walking as usual to be equal to 1, while the width of the bent person is equal to 2. Friends want to talk to each other while walking, so they would like to walk in a single row. What is the minimum width of the road, such that friends can walk in a row and remain unattended by the guard?
Input Specification:
The first line of the input contains two integers *n* and *h* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*h*<=≤<=1000) — the number of friends and the height of the fence, respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2*h*), the *i*-th of them is equal to the height of the *i*-th person.
Output Specification:
Print a single integer — the minimum possible valid width of the road.
Demo Input:
['3 7\n4 5 14\n', '6 1\n1 1 1 1 1 1\n', '6 5\n7 6 8 9 10 5\n']
Demo Output:
['4\n', '6\n', '11\n']
Note:
In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4.
In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough.
In the third sample, all the persons have to bend, except the last one. The required minimum width of the road is equal to 2 + 2 + 2 + 2 + 2 + 1 = 11.
|
```python
n,h=map(int,input().split())
a=list(map(int,input().split()))
w=n
for i in range(n):
if a[i]>h:
w+=1
print(w)
```
| 3
|
|
664
|
A
|
Complicated GCD
|
PROGRAMMING
| 800
|
[
"math",
"number theory"
] | null | null |
Greatest common divisor *GCD*(*a*,<=*b*) of two positive integers *a* and *b* is equal to the biggest integer *d* such that both integers *a* and *b* are divisible by *d*. There are many efficient algorithms to find greatest common divisor *GCD*(*a*,<=*b*), for example, Euclid algorithm.
Formally, find the biggest integer *d*, such that all integers *a*,<=*a*<=+<=1,<=*a*<=+<=2,<=...,<=*b* are divisible by *d*. To make the problem even more complicated we allow *a* and *b* to be up to googol, 10100 — such number do not fit even in 64-bit integer type!
|
The only line of the input contains two integers *a* and *b* (1<=≤<=*a*<=≤<=*b*<=≤<=10100).
|
Output one integer — greatest common divisor of all integers from *a* to *b* inclusive.
|
[
"1 2\n",
"61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576\n"
] |
[
"1\n",
"61803398874989484820458683436563811772030917980576\n"
] |
none
| 500
|
[
{
"input": "1 2",
"output": "1"
},
{
"input": "61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576",
"output": "61803398874989484820458683436563811772030917980576"
},
{
"input": "1 100",
"output": "1"
},
{
"input": "100 100000",
"output": "1"
},
{
"input": "12345 67890123456789123457",
"output": "1"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "2 2",
"output": "2"
},
{
"input": "8392739158839273915883927391588392739158839273915883927391588392739158839273915883927391588392739158 8392739158839273915883927391588392739158839273915883927391588392739158839273915883927391588392739158",
"output": "8392739158839273915883927391588392739158839273915883927391588392739158839273915883927391588392739158"
},
{
"input": "1 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"output": "1"
},
{
"input": "8328748239473982794239847237438782379810988324751 9328748239473982794239847237438782379810988324751",
"output": "1"
},
{
"input": "1029398958432734901284327523909481928483573793 1029398958432734901284327523909481928483573794",
"output": "1"
},
{
"input": "10000 1000000000",
"output": "1"
},
{
"input": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"output": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
},
{
"input": "11210171722243 65715435710585778347",
"output": "1"
},
{
"input": "2921881079263974825226940825843 767693191032295360887755303860323261471",
"output": "1"
},
{
"input": "8025352957265704896940312528736939363590612908210603 96027920417708260814607687034511406492969694925539085",
"output": "1"
},
{
"input": "23510978780782786207241069904470895053213996267165977112058175452757132930 210352653280909370107314249722987050753257161175393375412301228883856435481424",
"output": "1"
},
{
"input": "8150070767079366215626260746398623663859344142817267779361251788637547414925170226504788118262 49924902262298336032630839998470954964895251605110946547855439236151401194070172107435992986913614",
"output": "1"
},
{
"input": "15943150466658398903 15943150466658398903",
"output": "15943150466658398903"
},
{
"input": "410470228200245407491525399055972 410470228200245407491525399055972",
"output": "410470228200245407491525399055972"
},
{
"input": "51894705655711504622197349350106792045098781545973899451307 51894705655711504622197349350106792045098781545973899451307",
"output": "51894705655711504622197349350106792045098781545973899451307"
},
{
"input": "60353594589897438036015726222485085035927634677598681595162804007836722215668410 60353594589897438036015726222485085035927634677598681595162804007836722215668410",
"output": "60353594589897438036015726222485085035927634677598681595162804007836722215668410"
},
{
"input": "761733780145118977868180796896376577405349682060892737466239031663476251177476275459280340045369535 761733780145118977868180796896376577405349682060892737466239031663476251177476275459280340045369535",
"output": "761733780145118977868180796896376577405349682060892737466239031663476251177476275459280340045369535"
},
{
"input": "1 2000000000",
"output": "1"
},
{
"input": "13 1928834874",
"output": "1"
},
{
"input": "87 2938984237482934238",
"output": "1"
},
{
"input": "213 413",
"output": "1"
},
{
"input": "3 4",
"output": "1"
}
] | 1,671,113,471
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 28
| 46
| 0
|
import math
f,s =map(int,input().split())
if f ==s:
print(f)
else:
print(1)
|
Title: Complicated GCD
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Greatest common divisor *GCD*(*a*,<=*b*) of two positive integers *a* and *b* is equal to the biggest integer *d* such that both integers *a* and *b* are divisible by *d*. There are many efficient algorithms to find greatest common divisor *GCD*(*a*,<=*b*), for example, Euclid algorithm.
Formally, find the biggest integer *d*, such that all integers *a*,<=*a*<=+<=1,<=*a*<=+<=2,<=...,<=*b* are divisible by *d*. To make the problem even more complicated we allow *a* and *b* to be up to googol, 10100 — such number do not fit even in 64-bit integer type!
Input Specification:
The only line of the input contains two integers *a* and *b* (1<=≤<=*a*<=≤<=*b*<=≤<=10100).
Output Specification:
Output one integer — greatest common divisor of all integers from *a* to *b* inclusive.
Demo Input:
['1 2\n', '61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576\n']
Demo Output:
['1\n', '61803398874989484820458683436563811772030917980576\n']
Note:
none
|
```python
import math
f,s =map(int,input().split())
if f ==s:
print(f)
else:
print(1)
```
| 3
|
|
796
|
A
|
Buying A House
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation"
] | null | null |
Zane the wizard had never loved anyone before, until he fell in love with a girl, whose name remains unknown to us.
The girl lives in house *m* of a village. There are *n* houses in that village, lining in a straight line from left to right: house 1, house 2, ..., house *n*. The village is also well-structured: house *i* and house *i*<=+<=1 (1<=≤<=*i*<=<<=*n*) are exactly 10 meters away. In this village, some houses are occupied, and some are not. Indeed, unoccupied houses can be purchased.
You will be given *n* integers *a*1,<=*a*2,<=...,<=*a**n* that denote the availability and the prices of the houses. If house *i* is occupied, and therefore cannot be bought, then *a**i* equals 0. Otherwise, house *i* can be bought, and *a**i* represents the money required to buy it, in dollars.
As Zane has only *k* dollars to spare, it becomes a challenge for him to choose the house to purchase, so that he could live as near as possible to his crush. Help Zane determine the minimum distance from his crush's house to some house he can afford, to help him succeed in his love.
|
The first line contains three integers *n*, *m*, and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*m*<=≤<=*n*, 1<=≤<=*k*<=≤<=100) — the number of houses in the village, the house where the girl lives, and the amount of money Zane has (in dollars), respectively.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=100) — denoting the availability and the prices of the houses.
It is guaranteed that *a**m*<==<=0 and that it is possible to purchase some house with no more than *k* dollars.
|
Print one integer — the minimum distance, in meters, from the house where the girl Zane likes lives to the house Zane can buy.
|
[
"5 1 20\n0 27 32 21 19\n",
"7 3 50\n62 0 0 0 99 33 22\n",
"10 5 100\n1 0 1 0 0 0 0 0 1 1\n"
] |
[
"40",
"30",
"20"
] |
In the first sample, with *k* = 20 dollars, Zane can buy only house 5. The distance from house *m* = 1 to house 5 is 10 + 10 + 10 + 10 = 40 meters.
In the second sample, Zane can buy houses 6 and 7. It is better to buy house 6 than house 7, since house *m* = 3 and house 6 are only 30 meters away, while house *m* = 3 and house 7 are 40 meters away.
| 500
|
[
{
"input": "5 1 20\n0 27 32 21 19",
"output": "40"
},
{
"input": "7 3 50\n62 0 0 0 99 33 22",
"output": "30"
},
{
"input": "10 5 100\n1 0 1 0 0 0 0 0 1 1",
"output": "20"
},
{
"input": "5 3 1\n1 1 0 0 1",
"output": "10"
},
{
"input": "5 5 5\n1 0 5 6 0",
"output": "20"
},
{
"input": "15 10 50\n20 0 49 50 50 50 50 50 50 0 50 50 49 0 20",
"output": "10"
},
{
"input": "7 5 1\n0 100 2 2 0 2 1",
"output": "20"
},
{
"input": "100 50 100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100",
"output": "10"
},
{
"input": "100 50 1\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100",
"output": "490"
},
{
"input": "100 77 50\n50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 0 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0 50 100 49 51 0",
"output": "10"
},
{
"input": "100 1 1\n0 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0",
"output": "980"
},
{
"input": "100 1 100\n0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100",
"output": "10"
},
{
"input": "100 10 99\n0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 99 98",
"output": "890"
},
{
"input": "7 4 5\n1 0 6 0 5 6 0",
"output": "10"
},
{
"input": "7 4 5\n1 6 5 0 0 6 0",
"output": "10"
},
{
"input": "100 42 59\n50 50 50 50 50 50 50 50 50 50 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 60 60 60 60 60 60 60 60 0 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 0",
"output": "90"
},
{
"input": "2 1 100\n0 1",
"output": "10"
},
{
"input": "2 2 100\n1 0",
"output": "10"
},
{
"input": "10 1 88\n0 95 0 0 0 0 0 94 0 85",
"output": "90"
},
{
"input": "10 2 14\n2 0 1 26 77 39 41 100 13 32",
"output": "10"
},
{
"input": "10 3 11\n0 0 0 0 0 62 0 52 1 35",
"output": "60"
},
{
"input": "20 12 44\n27 40 58 69 53 38 31 39 75 95 8 0 28 81 77 90 38 61 21 88",
"output": "10"
},
{
"input": "30 29 10\n59 79 34 12 100 6 1 58 18 73 54 11 37 46 89 90 80 85 73 45 64 5 31 0 89 19 0 74 0 82",
"output": "70"
},
{
"input": "40 22 1\n7 95 44 53 0 0 19 93 0 68 65 0 24 91 10 58 17 0 71 0 100 0 94 90 79 73 0 73 4 61 54 81 7 13 21 84 5 41 0 1",
"output": "180"
},
{
"input": "40 22 99\n60 0 100 0 0 100 100 0 0 0 0 100 100 0 0 100 100 0 100 100 100 0 100 100 100 0 100 100 0 0 100 100 100 0 0 100 0 100 0 0",
"output": "210"
},
{
"input": "50 10 82\n56 54 0 0 0 0 88 93 0 0 83 93 0 0 91 89 0 30 62 52 24 84 80 8 38 13 92 78 16 87 23 30 71 55 16 63 15 99 4 93 24 6 3 35 4 42 73 27 86 37",
"output": "80"
},
{
"input": "63 49 22\n18 3 97 52 75 2 12 24 58 75 80 97 22 10 79 51 30 60 68 99 75 2 35 3 97 88 9 7 18 5 0 0 0 91 0 91 56 36 76 0 0 0 52 27 35 0 51 72 0 96 57 0 0 0 0 92 55 28 0 30 0 78 77",
"output": "190"
},
{
"input": "74 38 51\n53 36 55 42 64 5 87 9 0 16 86 78 9 22 19 1 25 72 1 0 0 0 79 0 0 0 77 58 70 0 0 100 64 0 99 59 0 0 0 0 65 74 0 96 0 58 89 93 61 88 0 0 82 89 0 0 49 24 7 77 89 87 94 61 100 31 93 70 39 49 39 14 20 84",
"output": "190"
},
{
"input": "89 22 11\n36 0 68 89 0 85 72 0 38 56 0 44 0 94 0 28 71 0 0 18 0 0 0 89 0 0 0 75 0 0 0 32 66 0 0 0 0 0 0 48 63 0 64 58 0 23 48 0 0 52 93 61 57 0 18 0 0 34 62 17 0 41 0 0 53 59 44 0 0 51 40 0 0 100 100 54 0 88 0 5 45 56 57 67 24 16 88 86 15",
"output": "580"
},
{
"input": "97 44 100\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 19",
"output": "520"
},
{
"input": "100 1 1\n0 0 0 0 10 54 84 6 17 94 65 82 34 0 61 46 42 0 2 16 56 0 100 0 82 0 0 0 89 78 96 56 0 0 0 0 0 0 0 0 77 70 0 96 67 0 0 32 44 1 72 50 14 11 24 61 100 64 19 5 67 69 44 82 93 22 67 93 22 61 53 64 79 41 84 48 43 97 7 24 8 49 23 16 72 52 97 29 69 47 29 49 64 91 4 73 17 18 51 67",
"output": "490"
},
{
"input": "100 1 50\n0 0 0 60 0 0 54 0 80 0 0 0 97 0 68 97 84 0 0 93 0 0 0 0 68 0 0 62 0 0 55 68 65 87 0 69 0 0 0 0 0 52 61 100 0 71 0 82 88 78 0 81 0 95 0 57 0 67 0 0 0 55 86 0 60 72 0 0 73 0 83 0 0 60 64 0 56 0 0 77 84 0 58 63 84 0 0 67 0 16 3 88 0 98 31 52 40 35 85 23",
"output": "890"
},
{
"input": "100 1 100\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 91 70 14",
"output": "970"
},
{
"input": "100 1 29\n0 0 0 0 64 0 89 97 0 0 0 59 0 67 62 0 59 0 0 80 0 0 0 0 0 97 0 57 0 64 32 0 44 0 0 48 0 47 38 0 42 0 0 0 0 0 0 46 74 0 86 33 33 0 44 0 79 0 0 0 0 91 59 0 59 65 55 0 0 58 33 95 0 97 76 0 81 0 41 0 38 81 80 0 85 0 31 0 0 92 0 0 45 96 0 85 91 87 0 10",
"output": "990"
},
{
"input": "100 50 20\n3 0 32 0 48 32 64 0 54 26 0 0 0 0 0 28 0 0 54 0 0 45 49 0 38 74 0 0 39 42 62 48 75 96 89 42 0 44 0 0 30 21 76 0 50 0 79 0 0 0 0 99 0 84 62 0 0 0 0 53 80 0 28 0 0 53 0 0 38 0 62 0 0 62 0 0 88 0 44 32 0 81 35 45 49 0 69 73 38 27 72 0 96 72 69 0 0 22 76 10",
"output": "490"
},
{
"input": "100 50 20\n49 0 56 0 87 25 40 0 50 0 0 97 0 0 36 29 0 0 0 0 0 73 29 71 44 0 0 0 91 92 69 0 0 60 81 49 48 38 0 87 0 82 0 32 0 82 46 39 0 0 29 0 0 29 0 79 47 0 0 0 0 0 49 0 24 33 70 0 63 45 97 90 0 0 29 53 55 0 84 0 0 100 26 0 88 0 0 0 0 81 70 0 30 80 0 75 59 98 0 2",
"output": "500"
},
{
"input": "100 2 2\n0 0 43 90 47 5 2 97 52 69 21 48 64 10 34 97 97 74 8 19 68 56 55 24 47 38 43 73 72 72 60 60 51 36 33 44 100 45 13 54 72 52 0 15 3 6 50 8 88 4 78 26 40 27 30 63 67 83 61 91 33 97 54 20 92 27 89 35 10 7 84 50 11 95 74 88 24 44 74 100 18 56 34 91 41 34 51 51 11 91 89 54 19 100 83 89 10 17 76 20",
"output": "50"
},
{
"input": "100 100 34\n5 73 0 0 44 0 0 0 79 55 0 0 0 0 0 0 0 0 83 67 75 0 0 0 0 59 0 74 0 0 47 98 0 0 72 41 0 55 87 0 0 78 84 0 0 39 0 79 72 95 0 0 0 0 0 85 53 84 0 0 0 0 37 75 0 66 0 0 0 0 61 0 70 0 37 60 42 78 92 52 0 0 0 55 77 57 0 63 37 0 0 0 96 70 0 94 97 0 0 0",
"output": "990"
},
{
"input": "100 100 100\n43 79 21 87 84 14 28 69 92 16 3 71 79 37 48 37 72 58 12 72 62 49 37 17 60 54 41 99 15 72 40 89 76 1 99 87 14 56 63 48 69 37 96 64 7 14 1 73 85 33 98 70 97 71 96 28 49 71 56 2 67 22 100 2 98 100 62 77 92 76 98 98 47 26 22 47 50 56 9 16 72 47 5 62 29 78 81 1 0 63 32 65 87 3 40 53 8 80 93 0",
"output": "10"
},
{
"input": "100 38 1\n3 59 12 81 33 95 0 41 36 17 63 76 42 77 85 56 3 96 55 41 24 87 18 9 0 37 0 61 69 0 0 0 67 0 0 0 0 0 0 18 0 0 47 56 74 0 0 80 0 42 0 1 60 59 62 9 19 87 92 48 58 30 98 51 99 10 42 94 51 53 50 89 24 5 52 82 50 39 98 8 95 4 57 21 10 0 44 32 19 14 64 34 79 76 17 3 15 22 71 51",
"output": "140"
},
{
"input": "100 72 1\n56 98 8 27 9 23 16 76 56 1 34 43 96 73 75 49 62 20 18 23 51 55 30 84 4 20 89 40 75 16 69 35 1 0 16 0 80 0 41 17 0 0 76 23 0 92 0 34 0 91 82 54 0 0 0 63 85 59 98 24 29 0 8 77 26 0 34 95 39 0 0 0 74 0 0 0 0 12 0 92 0 0 55 95 66 30 0 0 29 98 0 0 0 47 0 0 80 0 0 4",
"output": "390"
},
{
"input": "100 66 1\n38 50 64 91 37 44 74 21 14 41 80 90 26 51 78 85 80 86 44 14 49 75 93 48 78 89 23 72 35 22 14 48 100 71 62 22 7 95 80 66 32 20 17 47 79 30 41 52 15 62 67 71 1 6 0 9 0 0 0 11 0 0 24 0 31 0 77 0 51 0 0 0 0 0 0 77 0 36 44 19 90 45 6 25 100 87 93 30 4 97 36 88 33 50 26 71 97 71 51 68",
"output": "130"
},
{
"input": "100 55 1\n0 33 45 83 56 96 58 24 45 30 38 60 39 69 21 87 59 21 72 73 27 46 61 61 11 97 77 5 39 3 3 35 76 37 53 84 24 75 9 48 31 90 100 84 74 81 83 83 42 23 29 94 18 1 0 53 52 99 86 37 94 54 28 75 28 80 17 14 98 68 76 20 32 23 42 31 57 79 60 14 18 27 1 98 32 3 96 25 15 38 2 6 3 28 59 54 63 2 43 59",
"output": "10"
},
{
"input": "100 55 1\n24 52 41 6 55 11 58 25 63 12 70 39 23 28 72 17 96 85 7 84 21 13 34 37 97 43 36 32 15 30 58 5 14 71 40 70 9 92 44 73 31 58 96 90 19 35 29 91 25 36 48 95 61 78 0 1 99 61 81 88 42 53 61 57 42 55 74 45 41 92 99 30 20 25 89 50 37 4 17 24 6 65 15 44 40 2 38 43 7 90 38 59 75 87 96 28 12 67 24 32",
"output": "10"
},
{
"input": "100 21 1\n62 5 97 80 81 28 83 0 26 0 0 0 0 23 0 0 90 0 0 0 0 0 0 0 0 54 71 8 0 0 42 0 73 0 17 0 1 31 71 78 58 72 84 39 54 59 13 29 16 41 71 35 88 55 70 50 33 100 100 60 52 90 7 66 44 55 51 42 90 17 86 44 46 8 52 74 8 22 2 92 34 37 58 98 70 74 19 91 74 25 4 38 71 68 50 68 63 14 60 98",
"output": "160"
},
{
"input": "5 2 20\n27 0 32 21 19",
"output": "30"
},
{
"input": "6 4 10\n10 0 0 0 0 10",
"output": "20"
},
{
"input": "8 7 100\n1 0 0 0 0 0 0 1",
"output": "10"
},
{
"input": "5 3 20\n1 21 0 0 1",
"output": "20"
},
{
"input": "4 3 1\n0 0 0 1",
"output": "10"
},
{
"input": "5 2 3\n4 0 5 6 1",
"output": "30"
},
{
"input": "5 3 87\n88 89 0 1 90",
"output": "10"
},
{
"input": "5 3 20\n15 30 0 15 35",
"output": "10"
},
{
"input": "6 3 50\n0 0 0 1 2 0",
"output": "10"
},
{
"input": "6 4 9\n100 9 10 0 0 9",
"output": "20"
},
{
"input": "5 4 20\n0 20 0 0 20",
"output": "10"
},
{
"input": "6 3 3\n1 5 0 2 2 0",
"output": "10"
},
{
"input": "5 4 100\n0 1 0 0 1",
"output": "10"
}
] | 1,519,426,111
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 58
| 77
| 19,968,000
|
(num_houses, crush_house, dollars) = [int(string) for string in input().split()]
house_prices = [int(string) for string in input().split()]
def distance(crush, house, prices, max_price):
return (abs(house - crush), not(prices[house] <= 0 or prices[house] > max_price))
closest = -1
for i in range(num_houses):
(dist, can_buy) = distance(crush_house - 1, i, house_prices, dollars)
if can_buy and (dist < closest or closest == -1):
closest = dist
print(closest * 10)
|
Title: Buying A House
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Zane the wizard had never loved anyone before, until he fell in love with a girl, whose name remains unknown to us.
The girl lives in house *m* of a village. There are *n* houses in that village, lining in a straight line from left to right: house 1, house 2, ..., house *n*. The village is also well-structured: house *i* and house *i*<=+<=1 (1<=≤<=*i*<=<<=*n*) are exactly 10 meters away. In this village, some houses are occupied, and some are not. Indeed, unoccupied houses can be purchased.
You will be given *n* integers *a*1,<=*a*2,<=...,<=*a**n* that denote the availability and the prices of the houses. If house *i* is occupied, and therefore cannot be bought, then *a**i* equals 0. Otherwise, house *i* can be bought, and *a**i* represents the money required to buy it, in dollars.
As Zane has only *k* dollars to spare, it becomes a challenge for him to choose the house to purchase, so that he could live as near as possible to his crush. Help Zane determine the minimum distance from his crush's house to some house he can afford, to help him succeed in his love.
Input Specification:
The first line contains three integers *n*, *m*, and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*m*<=≤<=*n*, 1<=≤<=*k*<=≤<=100) — the number of houses in the village, the house where the girl lives, and the amount of money Zane has (in dollars), respectively.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=100) — denoting the availability and the prices of the houses.
It is guaranteed that *a**m*<==<=0 and that it is possible to purchase some house with no more than *k* dollars.
Output Specification:
Print one integer — the minimum distance, in meters, from the house where the girl Zane likes lives to the house Zane can buy.
Demo Input:
['5 1 20\n0 27 32 21 19\n', '7 3 50\n62 0 0 0 99 33 22\n', '10 5 100\n1 0 1 0 0 0 0 0 1 1\n']
Demo Output:
['40', '30', '20']
Note:
In the first sample, with *k* = 20 dollars, Zane can buy only house 5. The distance from house *m* = 1 to house 5 is 10 + 10 + 10 + 10 = 40 meters.
In the second sample, Zane can buy houses 6 and 7. It is better to buy house 6 than house 7, since house *m* = 3 and house 6 are only 30 meters away, while house *m* = 3 and house 7 are 40 meters away.
|
```python
(num_houses, crush_house, dollars) = [int(string) for string in input().split()]
house_prices = [int(string) for string in input().split()]
def distance(crush, house, prices, max_price):
return (abs(house - crush), not(prices[house] <= 0 or prices[house] > max_price))
closest = -1
for i in range(num_houses):
(dist, can_buy) = distance(crush_house - 1, i, house_prices, dollars)
if can_buy and (dist < closest or closest == -1):
closest = dist
print(closest * 10)
```
| 3
|
|
891
|
A
|
Pride
|
PROGRAMMING
| 1,500
|
[
"brute force",
"dp",
"greedy",
"math",
"number theory"
] | null | null |
You have an array *a* with length *n*, you can perform operations. Each operation is like this: choose two adjacent elements from *a*, say *x* and *y*, and replace one of them with *gcd*(*x*,<=*y*), where *gcd* denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor).
What is the minimum number of operations you need to make all of the elements equal to 1?
|
The first line of the input contains one integer *n* (1<=≤<=*n*<=≤<=2000) — the number of elements in the array.
The second line contains *n* space separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array.
|
Print -1, if it is impossible to turn all numbers to 1. Otherwise, print the minimum number of operations needed to make all numbers equal to 1.
|
[
"5\n2 2 3 4 6\n",
"4\n2 4 6 8\n",
"3\n2 6 9\n"
] |
[
"5\n",
"-1\n",
"4\n"
] |
In the first sample you can turn all numbers to 1 using the following 5 moves:
- [2, 2, 3, 4, 6]. - [2, 1, 3, 4, 6] - [2, 1, 3, 1, 6] - [2, 1, 1, 1, 6] - [1, 1, 1, 1, 6] - [1, 1, 1, 1, 1]
We can prove that in this case it is not possible to make all numbers one using less than 5 moves.
| 500
|
[
{
"input": "5\n2 2 3 4 6",
"output": "5"
},
{
"input": "4\n2 4 6 8",
"output": "-1"
},
{
"input": "3\n2 6 9",
"output": "4"
},
{
"input": "15\n10 10 10 10 10 10 21 21 21 21 21 21 21 21 21",
"output": "15"
},
{
"input": "12\n10 10 14 14 14 14 14 14 14 14 21 21",
"output": "20"
},
{
"input": "5\n10 10 14 21 21",
"output": "6"
},
{
"input": "9\n10 10 10 10 10 14 14 21 21",
"output": "11"
},
{
"input": "9\n10 10 10 10 10 10 10 10 21",
"output": "9"
},
{
"input": "13\n10 10 10 15 15 15 15 15 15 15 15 21 21",
"output": "21"
},
{
"input": "15\n10 10 10 10 10 10 10 10 10 10 10 10 15 15 21",
"output": "17"
},
{
"input": "4\n1 1 1 1",
"output": "0"
},
{
"input": "1\n3",
"output": "-1"
},
{
"input": "2\n1 1",
"output": "0"
},
{
"input": "2\n1000000000 1000000000",
"output": "-1"
},
{
"input": "1\n1000000000",
"output": "-1"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "3\n42 15 35",
"output": "4"
},
{
"input": "3\n6 10 15",
"output": "4"
},
{
"input": "4\n2 1 1 1",
"output": "1"
},
{
"input": "5\n2 1 1 1 2",
"output": "2"
},
{
"input": "3\n30 14 21",
"output": "4"
},
{
"input": "3\n15 6 10",
"output": "4"
},
{
"input": "4\n1 1 1 2",
"output": "1"
},
{
"input": "5\n1 1 1 2 2",
"output": "2"
},
{
"input": "4\n2 6 9 1",
"output": "3"
},
{
"input": "6\n2 3 4 1 1 1",
"output": "3"
},
{
"input": "15\n2 6 6 6 3 3 3 15 5 5 5 7 5 5 5",
"output": "15"
},
{
"input": "5\n2 3 2 6 9",
"output": "5"
},
{
"input": "6\n6 15 10 6 15 10",
"output": "7"
}
] | 1,684,851,877
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 52
| 233
| 10,035,200
|
from math import gcd
class Node:
def __init__(self,l,r):
self.l,self.r = l,r
self.left = self.right = None
self.val = 0
class segtree:
def __init__(self,a):
self.a = a
self.rt = Node(0,len(a)-1)
self.build(self.rt)
def build(self,node):
if node.l == node.r:
node.val = self.a[node.l]
return
mid = node.l+node.r>>1
node.left,node.right = Node(node.l,mid),Node(mid+1,node.r)
self.build(node.left);self.build(node.right)
node.val = gcd(node.left.val,node.right.val)
def find(self,node,low,hig):
if low == node.l and hig == node.r:
return node.val
mid = node.l+node.r>>1
res = []
if low <= mid:
res.append(self.find(node.left,low,min(hig,mid)))
if hig >= mid+1:
res.append(self.find(node.right,max(low,mid+1),hig))
if len(res) == 2:return gcd(res[0],res[1])
return res[0]
n = int(input())
a = list(map(int,input().split()))
seg = segtree(a)
if 1 in a:
print(n-a.count(1))
else:
ans = n+1
for i in range(n):
l,r = i,n
while l+1 != r:
mid = l+r>>1
if seg.find(seg.rt,i,mid) != 1:
l = mid
else:
r = mid
if r != n:ans = min(ans,(l-i+1))
if ans == n+1:print(-1)
else:print(ans+n-1)
|
Title: Pride
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have an array *a* with length *n*, you can perform operations. Each operation is like this: choose two adjacent elements from *a*, say *x* and *y*, and replace one of them with *gcd*(*x*,<=*y*), where *gcd* denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor).
What is the minimum number of operations you need to make all of the elements equal to 1?
Input Specification:
The first line of the input contains one integer *n* (1<=≤<=*n*<=≤<=2000) — the number of elements in the array.
The second line contains *n* space separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array.
Output Specification:
Print -1, if it is impossible to turn all numbers to 1. Otherwise, print the minimum number of operations needed to make all numbers equal to 1.
Demo Input:
['5\n2 2 3 4 6\n', '4\n2 4 6 8\n', '3\n2 6 9\n']
Demo Output:
['5\n', '-1\n', '4\n']
Note:
In the first sample you can turn all numbers to 1 using the following 5 moves:
- [2, 2, 3, 4, 6]. - [2, 1, 3, 4, 6] - [2, 1, 3, 1, 6] - [2, 1, 1, 1, 6] - [1, 1, 1, 1, 6] - [1, 1, 1, 1, 1]
We can prove that in this case it is not possible to make all numbers one using less than 5 moves.
|
```python
from math import gcd
class Node:
def __init__(self,l,r):
self.l,self.r = l,r
self.left = self.right = None
self.val = 0
class segtree:
def __init__(self,a):
self.a = a
self.rt = Node(0,len(a)-1)
self.build(self.rt)
def build(self,node):
if node.l == node.r:
node.val = self.a[node.l]
return
mid = node.l+node.r>>1
node.left,node.right = Node(node.l,mid),Node(mid+1,node.r)
self.build(node.left);self.build(node.right)
node.val = gcd(node.left.val,node.right.val)
def find(self,node,low,hig):
if low == node.l and hig == node.r:
return node.val
mid = node.l+node.r>>1
res = []
if low <= mid:
res.append(self.find(node.left,low,min(hig,mid)))
if hig >= mid+1:
res.append(self.find(node.right,max(low,mid+1),hig))
if len(res) == 2:return gcd(res[0],res[1])
return res[0]
n = int(input())
a = list(map(int,input().split()))
seg = segtree(a)
if 1 in a:
print(n-a.count(1))
else:
ans = n+1
for i in range(n):
l,r = i,n
while l+1 != r:
mid = l+r>>1
if seg.find(seg.rt,i,mid) != 1:
l = mid
else:
r = mid
if r != n:ans = min(ans,(l-i+1))
if ans == n+1:print(-1)
else:print(ans+n-1)
```
| 3
|
|
980
|
A
|
Links and Pearls
|
PROGRAMMING
| 900
|
[
"implementation",
"math"
] | null | null |
A necklace can be described as a string of links ('-') and pearls ('o'), with the last link or pearl connected to the first one.
You can remove a link or a pearl and insert it between two other existing links or pearls (or between a link and a pearl) on the necklace. This process can be repeated as many times as you like, but you can't throw away any parts.
Can you make the number of links between every two adjacent pearls equal? Two pearls are considered to be adjacent if there is no other pearl between them.
Note that the final necklace should remain as one circular part of the same length as the initial necklace.
|
The only line of input contains a string $s$ ($3 \leq |s| \leq 100$), representing the necklace, where a dash '-' represents a link and the lowercase English letter 'o' represents a pearl.
|
Print "YES" if the links and pearls can be rejoined such that the number of links between adjacent pearls is equal. Otherwise print "NO".
You can print each letter in any case (upper or lower).
|
[
"-o-o--",
"-o---\n",
"-o---o-\n",
"ooo\n"
] |
[
"YES",
"YES",
"NO",
"YES\n"
] |
none
| 500
|
[
{
"input": "-o-o--",
"output": "YES"
},
{
"input": "-o---",
"output": "YES"
},
{
"input": "-o---o-",
"output": "NO"
},
{
"input": "ooo",
"output": "YES"
},
{
"input": "---",
"output": "YES"
},
{
"input": "--o-o-----o----o--oo-o-----ooo-oo---o--",
"output": "YES"
},
{
"input": "-o--o-oo---o-o-o--o-o----oo------oo-----o----o-o-o--oo-o--o---o--o----------o---o-o-oo---o--o-oo-o--",
"output": "NO"
},
{
"input": "-ooo--",
"output": "YES"
},
{
"input": "---o--",
"output": "YES"
},
{
"input": "oo-ooo",
"output": "NO"
},
{
"input": "------o-o--o-----o--",
"output": "YES"
},
{
"input": "--o---o----------o----o----------o--o-o-----o-oo---oo--oo---o-------------oo-----o-------------o---o",
"output": "YES"
},
{
"input": "----------------------------------------------------------------------------------------------------",
"output": "YES"
},
{
"input": "-oo-oo------",
"output": "YES"
},
{
"input": "---------------------------------o----------------------------oo------------------------------------",
"output": "NO"
},
{
"input": "oo--o--o--------oo----------------o-----------o----o-----o----------o---o---o-----o---------ooo---",
"output": "NO"
},
{
"input": "--o---oooo--o-o--o-----o----ooooo--o-oo--o------oooo--------------ooo-o-o----",
"output": "NO"
},
{
"input": "-----------------------------o--o-o-------",
"output": "YES"
},
{
"input": "o-oo-o--oo----o-o----------o---o--o----o----o---oo-ooo-o--o-",
"output": "YES"
},
{
"input": "oooooooooo-ooo-oooooo-ooooooooooooooo--o-o-oooooooooooooo-oooooooooooooo",
"output": "NO"
},
{
"input": "-----------------o-o--oo------o--------o---o--o----------------oooo-------------ooo-----ooo-----o",
"output": "NO"
},
{
"input": "ooo-ooooooo-oo-ooooooooo-oooooooooooooo-oooo-o-oooooooooo--oooooooooooo-oooooooooo-ooooooo",
"output": "NO"
},
{
"input": "oo-o-ooooo---oo---o-oo---o--o-ooo-o---o-oo---oo---oooo---o---o-oo-oo-o-ooo----ooo--oo--o--oo-o-oo",
"output": "NO"
},
{
"input": "-----o-----oo-o-o-o-o----o---------oo---ooo-------------o----o---o-o",
"output": "YES"
},
{
"input": "oo--o-o-o----o-oooo-ooooo---o-oo--o-o--ooo--o--oooo--oo----o----o-o-oooo---o-oooo--ooo-o-o----oo---",
"output": "NO"
},
{
"input": "------oo----o----o-oo-o--------o-----oo-----------------------o------------o-o----oo---------",
"output": "NO"
},
{
"input": "-o--o--------o--o------o---o-o----------o-------o-o-o-------oo----oo------o------oo--o--",
"output": "NO"
},
{
"input": "------------------o----------------------------------o-o-------------",
"output": "YES"
},
{
"input": "-------------o----ooo-----o-o-------------ooo-----------ooo------o----oo---",
"output": "YES"
},
{
"input": "-------o--------------------o--o---------------o---o--o-----",
"output": "YES"
},
{
"input": "------------------------o------------o-----o----------------",
"output": "YES"
},
{
"input": "------oo----------o------o-----o---------o------------o----o--o",
"output": "YES"
},
{
"input": "------------o------------------o-----------------------o-----------o",
"output": "YES"
},
{
"input": "o---o---------------",
"output": "YES"
},
{
"input": "----------------------o---o----o---o-----------o-o-----o",
"output": "YES"
},
{
"input": "----------------------------------------------------------------------o-o---------------------",
"output": "YES"
},
{
"input": "----o---o-------------------------",
"output": "YES"
},
{
"input": "o----------------------oo----",
"output": "NO"
},
{
"input": "-o-o--o-o--o-----o-----o-o--o-o---oooo-o",
"output": "NO"
},
{
"input": "-o-ooo-o--o----o--o-o-oo-----------o-o-",
"output": "YES"
},
{
"input": "o-------o-------o-------------",
"output": "YES"
},
{
"input": "oo----------------------o--------------o--------------o-----",
"output": "YES"
},
{
"input": "-----------------------------------o---------------------o--------------------------",
"output": "YES"
},
{
"input": "--o--o----o-o---o--o----o-o--oo-----o-oo--o---o---ooo-o--",
"output": "YES"
},
{
"input": "---------------o-o----",
"output": "YES"
},
{
"input": "o------ooo--o-o-oo--o------o----ooo-----o-----o-----o-ooo-o---o----oo",
"output": "YES"
},
{
"input": "----o----o",
"output": "YES"
},
{
"input": "o--o--o--o--o--o--o--o--o--o--o--o--",
"output": "YES"
},
{
"input": "o---o---o---o---o----o----o----o---o---o---o",
"output": "YES"
},
{
"input": "o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-",
"output": "YES"
},
{
"input": "-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o",
"output": "YES"
},
{
"input": "o----------o----------o----------o----------o----------o----------o----------o----------o----------o",
"output": "YES"
},
{
"input": "o---------o---------o---------o---------o---------o---------o---------o---------o",
"output": "YES"
},
{
"input": "--------o--------o--------o--------o--------o--------o--------o--------o--------",
"output": "YES"
},
{
"input": "o---o----",
"output": "NO"
},
{
"input": "---o----o",
"output": "NO"
},
{
"input": "-o-",
"output": "YES"
},
{
"input": "------oooo",
"output": "NO"
},
{
"input": "oo--",
"output": "YES"
},
{
"input": "---o",
"output": "YES"
},
{
"input": "ooo-",
"output": "NO"
},
{
"input": "oooooooo----------",
"output": "NO"
},
{
"input": "oooo--",
"output": "NO"
},
{
"input": "o-ooooo",
"output": "NO"
},
{
"input": "-oo",
"output": "NO"
},
{
"input": "ooooo-",
"output": "NO"
},
{
"input": "ooo---------",
"output": "YES"
},
{
"input": "oo-",
"output": "NO"
},
{
"input": "---ooo",
"output": "YES"
}
] | 1,525,792,948
| 1,048
|
Python 3
|
OK
|
TESTS
| 69
| 93
| 7,065,600
|
s = input()
km = 0
kb = 0
for el in s:
if el == '-':
km+=1
else:
kb+=1
if km!=0 and kb != 0:
if ((km % kb) == 0):
print('YES')
else:
print('NO')
else:
print('YES')
|
Title: Links and Pearls
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A necklace can be described as a string of links ('-') and pearls ('o'), with the last link or pearl connected to the first one.
You can remove a link or a pearl and insert it between two other existing links or pearls (or between a link and a pearl) on the necklace. This process can be repeated as many times as you like, but you can't throw away any parts.
Can you make the number of links between every two adjacent pearls equal? Two pearls are considered to be adjacent if there is no other pearl between them.
Note that the final necklace should remain as one circular part of the same length as the initial necklace.
Input Specification:
The only line of input contains a string $s$ ($3 \leq |s| \leq 100$), representing the necklace, where a dash '-' represents a link and the lowercase English letter 'o' represents a pearl.
Output Specification:
Print "YES" if the links and pearls can be rejoined such that the number of links between adjacent pearls is equal. Otherwise print "NO".
You can print each letter in any case (upper or lower).
Demo Input:
['-o-o--', '-o---\n', '-o---o-\n', 'ooo\n']
Demo Output:
['YES', 'YES', 'NO', 'YES\n']
Note:
none
|
```python
s = input()
km = 0
kb = 0
for el in s:
if el == '-':
km+=1
else:
kb+=1
if km!=0 and kb != 0:
if ((km % kb) == 0):
print('YES')
else:
print('NO')
else:
print('YES')
```
| 3
|
|
56
|
A
|
Bar
|
PROGRAMMING
| 1,000
|
[
"implementation"
] |
A. Bar
|
2
|
256
|
According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw *n* people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks?
The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE
|
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) which is the number of the bar's clients. Then follow *n* lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators.
Only the drinks from the list given above should be considered alcohol.
|
Print a single number which is the number of people Vasya should check to guarantee the law enforcement.
|
[
"5\n18\nVODKA\nCOKE\n19\n17\n"
] |
[
"2\n"
] |
In the sample test the second and fifth clients should be checked.
| 500
|
[
{
"input": "5\n18\nVODKA\nCOKE\n19\n17",
"output": "2"
},
{
"input": "2\n2\nGIN",
"output": "2"
},
{
"input": "3\nWHISKEY\n3\nGIN",
"output": "3"
},
{
"input": "4\n813\nIORBQITQXMPTFAEMEQDQIKFGKGOTNKTOSZCBRPXJLUKVLVHJYNRUJXK\nRUM\nRHVRWGODYWWTYZFLFYKCVUFFRTQDINKNWPKFHZBFWBHWINWJW",
"output": "1"
},
{
"input": "4\nSAKE\nSAKE\n13\n2",
"output": "4"
},
{
"input": "2\n0\n17",
"output": "2"
},
{
"input": "1\n0",
"output": "1"
}
] | 1,419,175,325
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 28
| 154
| 0
|
import sys
import math
n = int(sys.stdin.readline())
d = {"ABSINTH": 1, "BEER": 1, "BRANDY": 1, "CHAMPAGNE": 1, "GIN": 1,
"RUM": 1, "SAKE": 1, "TEQUILA": 1, "VODKA": 1, "WHISKEY": 1, "WINE": 1}
res = 0
for i in range(n):
st = (sys.stdin.readline()).split()[0]
if(st.isdigit()):
if(int(st) < 18):
res += 1
else:
if st in d:
res += 1
print(res)
|
Title: Bar
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw *n* people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks?
The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) which is the number of the bar's clients. Then follow *n* lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators.
Only the drinks from the list given above should be considered alcohol.
Output Specification:
Print a single number which is the number of people Vasya should check to guarantee the law enforcement.
Demo Input:
['5\n18\nVODKA\nCOKE\n19\n17\n']
Demo Output:
['2\n']
Note:
In the sample test the second and fifth clients should be checked.
|
```python
import sys
import math
n = int(sys.stdin.readline())
d = {"ABSINTH": 1, "BEER": 1, "BRANDY": 1, "CHAMPAGNE": 1, "GIN": 1,
"RUM": 1, "SAKE": 1, "TEQUILA": 1, "VODKA": 1, "WHISKEY": 1, "WINE": 1}
res = 0
for i in range(n):
st = (sys.stdin.readline()).split()[0]
if(st.isdigit()):
if(int(st) < 18):
res += 1
else:
if st in d:
res += 1
print(res)
```
| 3.9615
|
489
|
B
|
BerSU Ball
|
PROGRAMMING
| 1,200
|
[
"dfs and similar",
"dp",
"graph matchings",
"greedy",
"sortings",
"two pointers"
] | null | null |
The Berland State University is hosting a ballroom dance in celebration of its 100500-th anniversary! *n* boys and *m* girls are already busy rehearsing waltz, minuet, polonaise and quadrille moves.
We know that several boy&girl pairs are going to be invited to the ball. However, the partners' dancing skill in each pair must differ by at most one.
For each boy, we know his dancing skills. Similarly, for each girl we know her dancing skills. Write a code that can determine the largest possible number of pairs that can be formed from *n* boys and *m* girls.
|
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of boys. The second line contains sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100), where *a**i* is the *i*-th boy's dancing skill.
Similarly, the third line contains an integer *m* (1<=≤<=*m*<=≤<=100) — the number of girls. The fourth line contains sequence *b*1,<=*b*2,<=...,<=*b**m* (1<=≤<=*b**j*<=≤<=100), where *b**j* is the *j*-th girl's dancing skill.
|
Print a single number — the required maximum possible number of pairs.
|
[
"4\n1 4 6 2\n5\n5 1 5 7 9\n",
"4\n1 2 3 4\n4\n10 11 12 13\n",
"5\n1 1 1 1 1\n3\n1 2 3\n"
] |
[
"3\n",
"0\n",
"2\n"
] |
none
| 1,000
|
[
{
"input": "4\n1 4 6 2\n5\n5 1 5 7 9",
"output": "3"
},
{
"input": "4\n1 2 3 4\n4\n10 11 12 13",
"output": "0"
},
{
"input": "5\n1 1 1 1 1\n3\n1 2 3",
"output": "2"
},
{
"input": "1\n1\n1\n1",
"output": "1"
},
{
"input": "2\n1 10\n1\n9",
"output": "1"
},
{
"input": "4\n4 5 4 4\n5\n5 3 4 2 4",
"output": "4"
},
{
"input": "1\n2\n1\n1",
"output": "1"
},
{
"input": "1\n3\n2\n3 2",
"output": "1"
},
{
"input": "1\n4\n3\n4 4 4",
"output": "1"
},
{
"input": "1\n2\n4\n3 1 4 2",
"output": "1"
},
{
"input": "1\n4\n5\n2 5 5 3 1",
"output": "1"
},
{
"input": "2\n2 2\n1\n2",
"output": "1"
},
{
"input": "2\n4 2\n2\n4 4",
"output": "1"
},
{
"input": "2\n4 1\n3\n2 3 2",
"output": "2"
},
{
"input": "2\n4 3\n4\n5 5 5 6",
"output": "1"
},
{
"input": "2\n5 7\n5\n4 6 7 2 5",
"output": "2"
},
{
"input": "3\n1 2 3\n1\n1",
"output": "1"
},
{
"input": "3\n5 4 5\n2\n2 1",
"output": "0"
},
{
"input": "3\n6 3 4\n3\n4 5 2",
"output": "3"
},
{
"input": "3\n7 7 7\n4\n2 7 2 4",
"output": "1"
},
{
"input": "3\n1 3 3\n5\n1 3 4 1 2",
"output": "3"
},
{
"input": "4\n1 2 1 3\n1\n4",
"output": "1"
},
{
"input": "4\n4 4 6 6\n2\n2 1",
"output": "0"
},
{
"input": "4\n3 1 1 1\n3\n1 6 7",
"output": "1"
},
{
"input": "4\n2 5 1 2\n4\n2 3 3 1",
"output": "3"
},
{
"input": "4\n9 1 7 1\n5\n9 9 9 8 4",
"output": "2"
},
{
"input": "5\n1 6 5 5 6\n1\n2",
"output": "1"
},
{
"input": "5\n5 2 4 5 6\n2\n7 4",
"output": "2"
},
{
"input": "5\n4 1 3 1 4\n3\n6 3 6",
"output": "1"
},
{
"input": "5\n5 2 3 1 4\n4\n1 3 1 7",
"output": "3"
},
{
"input": "5\n9 8 10 9 10\n5\n2 1 5 4 6",
"output": "0"
},
{
"input": "1\n48\n100\n76 90 78 44 29 30 35 85 98 38 27 71 51 100 15 98 78 45 85 26 48 66 98 71 45 85 83 77 92 17 23 95 98 43 11 15 39 53 71 25 74 53 77 41 39 35 66 4 92 44 44 55 35 87 91 6 44 46 57 24 46 82 15 44 81 40 65 17 64 24 42 52 13 12 64 82 26 7 66 85 93 89 58 92 92 77 37 91 47 73 35 69 31 22 60 60 97 21 52 6",
"output": "1"
},
{
"input": "100\n9 90 66 62 60 9 10 97 47 73 26 81 97 60 80 84 19 4 25 77 19 17 91 12 1 27 15 54 18 45 71 79 96 90 51 62 9 13 92 34 7 52 55 8 16 61 96 12 52 38 50 9 60 3 30 3 48 46 77 64 90 35 16 16 21 42 67 70 23 19 90 14 50 96 98 92 82 62 7 51 93 38 84 82 37 78 99 3 20 69 44 96 94 71 3 55 27 86 92 82\n1\n58",
"output": "0"
},
{
"input": "10\n20 87 3 39 20 20 8 40 70 51\n100\n69 84 81 84 35 97 69 68 63 97 85 80 95 58 70 91 100 65 72 80 41 87 87 87 22 49 96 96 78 96 97 56 90 31 62 98 89 74 100 86 95 88 66 54 93 62 41 60 95 79 29 69 63 70 52 63 87 58 54 52 48 57 26 75 39 61 98 78 52 73 99 49 74 50 59 90 31 97 16 85 63 72 81 68 75 59 70 67 73 92 10 88 57 95 3 71 80 95 84 96",
"output": "6"
},
{
"input": "100\n10 10 9 18 56 64 92 66 54 42 66 65 58 5 74 68 80 57 58 30 58 69 70 13 38 19 34 63 38 17 26 24 66 83 48 77 44 37 78 97 13 90 51 56 60 23 49 32 14 86 90 100 13 14 52 69 85 95 81 53 5 3 91 66 2 64 45 59 7 30 80 42 61 82 70 10 62 82 5 34 50 28 24 47 85 68 27 50 24 61 76 17 63 24 3 67 83 76 42 60\n10\n66 74 40 67 28 82 99 57 93 64",
"output": "9"
},
{
"input": "100\n4 1 1 1 3 3 2 5 1 2 1 2 1 1 1 6 1 3 1 1 1 1 2 4 1 1 4 2 2 8 2 2 1 8 2 4 3 3 8 1 3 2 3 2 1 3 8 2 2 3 1 1 2 2 5 1 4 3 1 1 3 1 3 1 7 1 1 1 3 2 1 2 2 3 7 2 1 4 3 2 1 1 3 4 1 1 3 5 1 8 4 1 1 1 3 10 2 2 1 2\n100\n1 1 5 2 13 2 2 3 6 12 1 13 8 1 1 16 1 1 5 6 2 4 6 4 2 7 4 1 7 3 3 9 5 3 1 7 4 1 6 6 8 2 2 5 2 3 16 3 6 3 8 6 1 8 1 2 6 5 3 4 11 3 4 8 2 13 2 5 2 7 3 3 1 8 1 4 4 2 4 7 7 1 5 7 6 3 6 9 1 1 1 3 1 11 5 2 5 11 13 1",
"output": "76"
},
{
"input": "4\n1 6 9 15\n2\n5 8",
"output": "2"
},
{
"input": "2\n2 4\n2\n3 1",
"output": "2"
},
{
"input": "3\n2 3 5\n3\n3 4 6",
"output": "3"
},
{
"input": "3\n1 3 4\n3\n2 1 5",
"output": "3"
},
{
"input": "2\n5 5\n4\n1 1 1 5",
"output": "1"
},
{
"input": "2\n3 2\n2\n3 4",
"output": "2"
},
{
"input": "2\n3 1\n2\n2 4",
"output": "2"
},
{
"input": "2\n2 3\n2\n2 1",
"output": "2"
},
{
"input": "2\n10 12\n2\n11 9",
"output": "2"
},
{
"input": "3\n1 2 3\n3\n3 2 1",
"output": "3"
},
{
"input": "2\n1 3\n2\n2 1",
"output": "2"
},
{
"input": "2\n4 5\n2\n5 3",
"output": "2"
},
{
"input": "2\n7 5\n2\n6 8",
"output": "2"
},
{
"input": "4\n4 3 2 1\n4\n1 2 3 4",
"output": "4"
},
{
"input": "2\n2 3\n2\n3 1",
"output": "2"
},
{
"input": "2\n2 4\n3\n3 1 8",
"output": "2"
},
{
"input": "3\n3 1 1\n3\n2 4 4",
"output": "2"
},
{
"input": "2\n5 3\n2\n4 6",
"output": "2"
},
{
"input": "4\n1 1 3 3\n4\n2 2 1 1",
"output": "4"
},
{
"input": "3\n3 2 1\n3\n2 4 3",
"output": "3"
},
{
"input": "5\n1 2 3 4 5\n5\n2 3 4 5 1",
"output": "5"
},
{
"input": "3\n3 2 1\n3\n1 2 3",
"output": "3"
},
{
"input": "2\n5 4\n2\n4 6",
"output": "2"
},
{
"input": "4\n3 3 5 5\n4\n4 4 2 2",
"output": "4"
},
{
"input": "3\n2 7 5\n3\n2 4 8",
"output": "3"
},
{
"input": "100\n2 3 3 4 2 1 4 4 5 5 2 1 5 2 3 3 5 4 3 2 4 2 3 3 2 2 3 4 2 2 2 3 1 2 3 2 2 3 5 3 3 3 3 4 5 2 2 1 1 1 3 1 2 2 3 5 5 2 5 1 3 4 5 3 5 4 1 1 2 3 4 4 5 3 2 4 5 5 5 2 1 4 2 4 5 4 4 5 5 3 2 5 1 4 4 2 2 2 5 3\n100\n4 5 3 3 2 2 4 3 1 5 4 3 3 2 2 4 5 2 5 2 1 4 3 4 2 3 5 3 4 4 1 2 3 5 2 2 1 5 4 2 4 3 4 3 4 2 3 1 3 3 4 1 1 1 4 4 5 3 1 4 2 3 2 1 3 3 2 3 2 1 1 2 3 2 1 3 3 4 3 3 1 1 3 3 3 1 1 3 5 3 3 3 3 4 4 5 2 5 4 5",
"output": "100"
},
{
"input": "1\n3\n2\n2 3",
"output": "1"
},
{
"input": "2\n5 6\n3\n1 5 100",
"output": "1"
},
{
"input": "2\n2 7\n2\n6 8",
"output": "1"
},
{
"input": "4\n4 10 15 17\n4\n3 12 16 16",
"output": "3"
},
{
"input": "2\n2 3\n2\n1 2",
"output": "2"
}
] | 1,693,896,340
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 81
| 46
| 0
|
a=int(input())
X=input().split()
A=[]
for x in X:
A.append(int(x))
b=int(input())
X=input().split()
B=[]
for x in X:
B.append(int(x))
A.sort()
B.sort()
if a<=b:
for x in A:
if x-1 in B:
B.remove(x-1)
continue
if x in B:
B.remove(x)
continue
if x+1 in B:
B.remove(x+1)
print(b-len(B))
elif a>b:
for x in B:
if x-1 in A:
A.remove(x-1)
continue
if x in A:
A.remove(x)
continue
if x+1 in A:
A.remove(x+1)
print(a-len(A))
|
Title: BerSU Ball
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Berland State University is hosting a ballroom dance in celebration of its 100500-th anniversary! *n* boys and *m* girls are already busy rehearsing waltz, minuet, polonaise and quadrille moves.
We know that several boy&girl pairs are going to be invited to the ball. However, the partners' dancing skill in each pair must differ by at most one.
For each boy, we know his dancing skills. Similarly, for each girl we know her dancing skills. Write a code that can determine the largest possible number of pairs that can be formed from *n* boys and *m* girls.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of boys. The second line contains sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100), where *a**i* is the *i*-th boy's dancing skill.
Similarly, the third line contains an integer *m* (1<=≤<=*m*<=≤<=100) — the number of girls. The fourth line contains sequence *b*1,<=*b*2,<=...,<=*b**m* (1<=≤<=*b**j*<=≤<=100), where *b**j* is the *j*-th girl's dancing skill.
Output Specification:
Print a single number — the required maximum possible number of pairs.
Demo Input:
['4\n1 4 6 2\n5\n5 1 5 7 9\n', '4\n1 2 3 4\n4\n10 11 12 13\n', '5\n1 1 1 1 1\n3\n1 2 3\n']
Demo Output:
['3\n', '0\n', '2\n']
Note:
none
|
```python
a=int(input())
X=input().split()
A=[]
for x in X:
A.append(int(x))
b=int(input())
X=input().split()
B=[]
for x in X:
B.append(int(x))
A.sort()
B.sort()
if a<=b:
for x in A:
if x-1 in B:
B.remove(x-1)
continue
if x in B:
B.remove(x)
continue
if x+1 in B:
B.remove(x+1)
print(b-len(B))
elif a>b:
for x in B:
if x-1 in A:
A.remove(x-1)
continue
if x in A:
A.remove(x)
continue
if x+1 in A:
A.remove(x+1)
print(a-len(A))
```
| 3
|
|
665
|
C
|
Simple Strings
|
PROGRAMMING
| 1,300
|
[
"dp",
"greedy",
"strings"
] | null | null |
zscoder loves simple strings! A string *t* is called simple if every pair of adjacent characters are distinct. For example ab, aba, zscoder are simple whereas aa, add are not simple.
zscoder is given a string *s*. He wants to change a minimum number of characters so that the string *s* becomes simple. Help him with this task!
|
The only line contains the string *s* (1<=≤<=|*s*|<=≤<=2·105) — the string given to zscoder. The string *s* consists of only lowercase English letters.
|
Print the simple string *s*' — the string *s* after the minimal number of changes. If there are multiple solutions, you may output any of them.
Note that the string *s*' should also consist of only lowercase English letters.
|
[
"aab\n",
"caaab\n",
"zscoder\n"
] |
[
"bab\n",
"cabab\n",
"zscoder\n"
] |
none
| 0
|
[
{
"input": "aab",
"output": "bab"
},
{
"input": "caaab",
"output": "cabab"
},
{
"input": "zscoder",
"output": "zscoder"
},
{
"input": "u",
"output": "u"
},
{
"input": "h",
"output": "h"
},
{
"input": "dtottttotd",
"output": "dtotataotd"
},
{
"input": "rxxxrrxrxxxxxrrrrrxxxxrrrrxrxxrxxrxrxrrrxrrxrrxrxxxrxrrxrrxrxrxxxxxrxxxxrrrxrxxrxxrxxxrrrrrxrrxrrxrr",
"output": "rxaxraxrxaxaxrararxaxararaxrxarxarxrxrarxraxraxrxaxrxraxraxrxrxaxaxrxaxararxrxarxarxaxrararxraxraxra"
},
{
"input": "aazz",
"output": "baza"
},
{
"input": "zz",
"output": "za"
},
{
"input": "gg",
"output": "ga"
},
{
"input": "qasdasd",
"output": "qasdasd"
},
{
"input": "aa",
"output": "ba"
},
{
"input": "ab",
"output": "ab"
},
{
"input": "zza",
"output": "zba"
},
{
"input": "g",
"output": "g"
},
{
"input": "nnop",
"output": "naop"
},
{
"input": "xx",
"output": "xa"
}
] | 1,641,663,024
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 27
| 187
| 2,764,800
|
def inc(a):
return chr(97 + (ord(a)-96)%26)
l = [i for i in input()]
i = 1
while i<len(l):
if l[i] == l[i-1]:
l[i] = inc(l[i])
if i+1 < len(l) and l[i] == l[i+1]:
l[i] = inc(l[i])
i += 2
continue
i += 1
print("".join(l))
|
Title: Simple Strings
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
zscoder loves simple strings! A string *t* is called simple if every pair of adjacent characters are distinct. For example ab, aba, zscoder are simple whereas aa, add are not simple.
zscoder is given a string *s*. He wants to change a minimum number of characters so that the string *s* becomes simple. Help him with this task!
Input Specification:
The only line contains the string *s* (1<=≤<=|*s*|<=≤<=2·105) — the string given to zscoder. The string *s* consists of only lowercase English letters.
Output Specification:
Print the simple string *s*' — the string *s* after the minimal number of changes. If there are multiple solutions, you may output any of them.
Note that the string *s*' should also consist of only lowercase English letters.
Demo Input:
['aab\n', 'caaab\n', 'zscoder\n']
Demo Output:
['bab\n', 'cabab\n', 'zscoder\n']
Note:
none
|
```python
def inc(a):
return chr(97 + (ord(a)-96)%26)
l = [i for i in input()]
i = 1
while i<len(l):
if l[i] == l[i-1]:
l[i] = inc(l[i])
if i+1 < len(l) and l[i] == l[i+1]:
l[i] = inc(l[i])
i += 2
continue
i += 1
print("".join(l))
```
| 3
|
|
628
|
A
|
Tennis Tournament
|
PROGRAMMING
| 1,000
|
[
"implementation",
"math"
] | null | null |
A tennis tournament with *n* participants is running. The participants are playing by an olympic system, so the winners move on and the losers drop out.
The tournament takes place in the following way (below, *m* is the number of the participants of the current round):
- let *k* be the maximal power of the number 2 such that *k*<=≤<=*m*, - *k* participants compete in the current round and a half of them passes to the next round, the other *m*<=-<=*k* participants pass to the next round directly, - when only one participant remains, the tournament finishes.
Each match requires *b* bottles of water for each participant and one bottle for the judge. Besides *p* towels are given to each participant for the whole tournament.
Find the number of bottles and towels needed for the tournament.
Note that it's a tennis tournament so in each match two participants compete (one of them will win and the other will lose).
|
The only line contains three integers *n*,<=*b*,<=*p* (1<=≤<=*n*,<=*b*,<=*p*<=≤<=500) — the number of participants and the parameters described in the problem statement.
|
Print two integers *x* and *y* — the number of bottles and towels need for the tournament.
|
[
"5 2 3\n",
"8 2 4\n"
] |
[
"20 15\n",
"35 32\n"
] |
In the first example will be three rounds:
1. in the first round will be two matches and for each match 5 bottles of water are needed (two for each of the participants and one for the judge), 1. in the second round will be only one match, so we need another 5 bottles of water, 1. in the third round will also be only one match, so we need another 5 bottles of water.
So in total we need 20 bottles of water.
In the second example no participant will move on to some round directly.
| 0
|
[
{
"input": "5 2 3",
"output": "20 15"
},
{
"input": "8 2 4",
"output": "35 32"
},
{
"input": "10 1 500",
"output": "27 5000"
},
{
"input": "20 500 1",
"output": "19019 20"
},
{
"input": "100 123 99",
"output": "24453 9900"
},
{
"input": "500 1 1",
"output": "1497 500"
},
{
"input": "500 500 500",
"output": "499499 250000"
},
{
"input": "500 237 474",
"output": "237025 237000"
},
{
"input": "1 2 3",
"output": "0 3"
},
{
"input": "1 2 133",
"output": "0 133"
},
{
"input": "1 2 100",
"output": "0 100"
},
{
"input": "1 3 4",
"output": "0 4"
},
{
"input": "1 10 15",
"output": "0 15"
},
{
"input": "1 1 1",
"output": "0 1"
},
{
"input": "1 2 5",
"output": "0 5"
},
{
"input": "1 500 500",
"output": "0 500"
},
{
"input": "1 3 8",
"output": "0 8"
},
{
"input": "10 10 10",
"output": "189 100"
},
{
"input": "1 3 5",
"output": "0 5"
},
{
"input": "1 2 1",
"output": "0 1"
},
{
"input": "1 2 4",
"output": "0 4"
},
{
"input": "1 10 10",
"output": "0 10"
},
{
"input": "1 345 345",
"output": "0 345"
},
{
"input": "7 12 13",
"output": "150 91"
},
{
"input": "1 500 1",
"output": "0 1"
},
{
"input": "1 12 13",
"output": "0 13"
},
{
"input": "1 500 499",
"output": "0 499"
},
{
"input": "1 100 90",
"output": "0 90"
},
{
"input": "2 100 90",
"output": "201 180"
},
{
"input": "53 1 1",
"output": "156 53"
},
{
"input": "73 73 73",
"output": "10584 5329"
},
{
"input": "67 1 1",
"output": "198 67"
},
{
"input": "63 1 1",
"output": "186 63"
},
{
"input": "59 1 1",
"output": "174 59"
},
{
"input": "57 1 1",
"output": "168 57"
},
{
"input": "13 1 1",
"output": "36 13"
},
{
"input": "349 2 5",
"output": "1740 1745"
},
{
"input": "456 456 456",
"output": "415415 207936"
}
] | 1,665,071,386
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 38
| 46
| 0
|
# 628A Tennis Tournament
def tennis():
n, b, p = map(int, input().split())
participants = n
t = 0
while participants > 1:
t += participants // 2
participants = participants // 2 + participants % 2
print(f'{t + t * b * 2} {p*n}')
tennis()
|
Title: Tennis Tournament
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A tennis tournament with *n* participants is running. The participants are playing by an olympic system, so the winners move on and the losers drop out.
The tournament takes place in the following way (below, *m* is the number of the participants of the current round):
- let *k* be the maximal power of the number 2 such that *k*<=≤<=*m*, - *k* participants compete in the current round and a half of them passes to the next round, the other *m*<=-<=*k* participants pass to the next round directly, - when only one participant remains, the tournament finishes.
Each match requires *b* bottles of water for each participant and one bottle for the judge. Besides *p* towels are given to each participant for the whole tournament.
Find the number of bottles and towels needed for the tournament.
Note that it's a tennis tournament so in each match two participants compete (one of them will win and the other will lose).
Input Specification:
The only line contains three integers *n*,<=*b*,<=*p* (1<=≤<=*n*,<=*b*,<=*p*<=≤<=500) — the number of participants and the parameters described in the problem statement.
Output Specification:
Print two integers *x* and *y* — the number of bottles and towels need for the tournament.
Demo Input:
['5 2 3\n', '8 2 4\n']
Demo Output:
['20 15\n', '35 32\n']
Note:
In the first example will be three rounds:
1. in the first round will be two matches and for each match 5 bottles of water are needed (two for each of the participants and one for the judge), 1. in the second round will be only one match, so we need another 5 bottles of water, 1. in the third round will also be only one match, so we need another 5 bottles of water.
So in total we need 20 bottles of water.
In the second example no participant will move on to some round directly.
|
```python
# 628A Tennis Tournament
def tennis():
n, b, p = map(int, input().split())
participants = n
t = 0
while participants > 1:
t += participants // 2
participants = participants // 2 + participants % 2
print(f'{t + t * b * 2} {p*n}')
tennis()
```
| 3
|
|
612
|
E
|
Square Root of Permutation
|
PROGRAMMING
| 2,200
|
[
"combinatorics",
"constructive algorithms",
"dfs and similar",
"graphs",
"math"
] | null | null |
A permutation of length *n* is an array containing each integer from 1 to *n* exactly once. For example, *q*<==<=[4,<=5,<=1,<=2,<=3] is a permutation. For the permutation *q* the square of permutation is the permutation *p* that *p*[*i*]<==<=*q*[*q*[*i*]] for each *i*<==<=1... *n*. For example, the square of *q*<==<=[4,<=5,<=1,<=2,<=3] is *p*<==<=*q*2<==<=[2,<=3,<=4,<=5,<=1].
This problem is about the inverse operation: given the permutation *p* you task is to find such permutation *q* that *q*2<==<=*p*. If there are several such *q* find any of them.
|
The first line contains integer *n* (1<=≤<=*n*<=≤<=106) — the number of elements in permutation *p*.
The second line contains *n* distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — the elements of permutation *p*.
|
If there is no permutation *q* such that *q*2<==<=*p* print the number "-1".
If the answer exists print it. The only line should contain *n* different integers *q**i* (1<=≤<=*q**i*<=≤<=*n*) — the elements of the permutation *q*. If there are several solutions print any of them.
|
[
"4\n2 1 4 3\n",
"4\n2 1 3 4\n",
"5\n2 3 4 5 1\n"
] |
[
"3 4 2 1\n",
"-1\n",
"4 5 1 2 3\n"
] |
none
| 0
|
[
{
"input": "4\n2 1 4 3",
"output": "3 4 2 1"
},
{
"input": "4\n2 1 3 4",
"output": "-1"
},
{
"input": "5\n2 3 4 5 1",
"output": "4 5 1 2 3"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "10\n8 2 10 3 4 6 1 7 9 5",
"output": "-1"
},
{
"input": "10\n3 5 1 2 10 8 7 6 4 9",
"output": "6 9 8 10 4 3 7 1 5 2"
},
{
"input": "100\n11 9 35 34 51 74 16 67 26 21 14 80 84 79 7 61 28 3 53 43 42 5 56 36 69 30 22 88 1 27 65 91 46 31 59 50 17 96 25 18 64 55 78 2 63 24 95 48 93 13 38 76 89 94 15 90 45 81 52 87 83 73 44 49 23 82 85 75 86 33 47 19 58 97 37 20 40 10 92 4 6 68 77 54 71 12 62 60 100 39 41 99 72 29 57 8 70 32 66 98",
"output": "-1"
},
{
"input": "100\n94 22 24 99 58 97 20 29 67 30 38 64 77 50 15 44 92 88 39 42 25 70 2 76 84 6 37 49 17 71 31 19 26 79 10 35 65 63 32 95 5 8 52 27 83 18 53 93 13 81 48 68 54 82 34 60 87 23 16 86 55 40 61 45 28 7 74 41 14 91 3 72 33 11 98 89 90 69 78 36 80 59 56 21 43 1 75 46 47 12 96 73 57 51 4 85 9 100 66 62",
"output": "78 52 95 76 96 49 53 59 77 100 64 11 9 48 15 17 44 46 32 54 84 68 43 4 21 28 73 6 16 62 31 39 65 86 98 75 33 45 19 3 91 82 2 92 63 88 7 50 97 93 14 22 20 42 60 55 80 85 29 34 56 71 83 38 26 47 90 70 51 41 40 72 37 12 35 99 67 94 1 87 57 8 61 25 23 79 36 18 66 74 5 27 81 69 24 58 13 10 89 30"
}
] | 1,621,177,221
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 18
| 1,730
| 96,358,400
|
import sys
import bisect
from bisect import bisect_left as lb
input_=lambda: sys.stdin.readline().strip("\r\n")
from math import log
from math import gcd
from math import atan2,acos
from random import randint
sa=lambda :input_()
sb=lambda:int(input_())
sc=lambda:input_().split()
sd=lambda:list(map(int,input_().split()))
se=lambda:float(input_())
sf=lambda:list(input_())
flsh=lambda: sys.stdout.flush()
#sys.setrecursionlimit(10**6)
mod=10**9+7
gp=[]
cost=[]
dp=[]
mx=[]
ans1=[]
ans2=[]
special=[]
specnode=[]
a=0
kthpar=[]
def dfs(root,par):
if par!=-1:
dp[root]=dp[par]+1
for i in range(1,20):
if kthpar[root][i-1]!=-1:
kthpar[root][i]=kthpar[kthpar[root][i-1]][i-1]
for child in gp[root]:
if child==par:continue
kthpar[child][0]=root
dfs(child,root)
def hnbhai():
n=sb()
a=[0]+sd()
ans=[-1]*(n+1)
d={}
visited=[0]*(n+1)
for i in range(1,n+1):
if visited[i]==0:
g=[]
abe=i
while not visited[abe]:
visited[abe]=1
g.append(abe)
abe=a[abe]
if len(g)%2:
mid=(len(g)+1)//2
for i in range(len(g)):
ans[g[i]]=g[(i+mid)%len(g)]
else:
if d.get(len(g)):
temp=d[len(g)]
for i in range(len(g)):
ans[g[i]]=temp[(i+1)%len(g)]
ans[temp[i]]=g[i]
del d[len(g)]
else:
d[len(g)]=g
if len(d):
print(-1)
return
print(*ans[1:])
for _ in range(1):
hnbhai()
|
Title: Square Root of Permutation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A permutation of length *n* is an array containing each integer from 1 to *n* exactly once. For example, *q*<==<=[4,<=5,<=1,<=2,<=3] is a permutation. For the permutation *q* the square of permutation is the permutation *p* that *p*[*i*]<==<=*q*[*q*[*i*]] for each *i*<==<=1... *n*. For example, the square of *q*<==<=[4,<=5,<=1,<=2,<=3] is *p*<==<=*q*2<==<=[2,<=3,<=4,<=5,<=1].
This problem is about the inverse operation: given the permutation *p* you task is to find such permutation *q* that *q*2<==<=*p*. If there are several such *q* find any of them.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=106) — the number of elements in permutation *p*.
The second line contains *n* distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — the elements of permutation *p*.
Output Specification:
If there is no permutation *q* such that *q*2<==<=*p* print the number "-1".
If the answer exists print it. The only line should contain *n* different integers *q**i* (1<=≤<=*q**i*<=≤<=*n*) — the elements of the permutation *q*. If there are several solutions print any of them.
Demo Input:
['4\n2 1 4 3\n', '4\n2 1 3 4\n', '5\n2 3 4 5 1\n']
Demo Output:
['3 4 2 1\n', '-1\n', '4 5 1 2 3\n']
Note:
none
|
```python
import sys
import bisect
from bisect import bisect_left as lb
input_=lambda: sys.stdin.readline().strip("\r\n")
from math import log
from math import gcd
from math import atan2,acos
from random import randint
sa=lambda :input_()
sb=lambda:int(input_())
sc=lambda:input_().split()
sd=lambda:list(map(int,input_().split()))
se=lambda:float(input_())
sf=lambda:list(input_())
flsh=lambda: sys.stdout.flush()
#sys.setrecursionlimit(10**6)
mod=10**9+7
gp=[]
cost=[]
dp=[]
mx=[]
ans1=[]
ans2=[]
special=[]
specnode=[]
a=0
kthpar=[]
def dfs(root,par):
if par!=-1:
dp[root]=dp[par]+1
for i in range(1,20):
if kthpar[root][i-1]!=-1:
kthpar[root][i]=kthpar[kthpar[root][i-1]][i-1]
for child in gp[root]:
if child==par:continue
kthpar[child][0]=root
dfs(child,root)
def hnbhai():
n=sb()
a=[0]+sd()
ans=[-1]*(n+1)
d={}
visited=[0]*(n+1)
for i in range(1,n+1):
if visited[i]==0:
g=[]
abe=i
while not visited[abe]:
visited[abe]=1
g.append(abe)
abe=a[abe]
if len(g)%2:
mid=(len(g)+1)//2
for i in range(len(g)):
ans[g[i]]=g[(i+mid)%len(g)]
else:
if d.get(len(g)):
temp=d[len(g)]
for i in range(len(g)):
ans[g[i]]=temp[(i+1)%len(g)]
ans[temp[i]]=g[i]
del d[len(g)]
else:
d[len(g)]=g
if len(d):
print(-1)
return
print(*ans[1:])
for _ in range(1):
hnbhai()
```
| 3
|
|
534
|
C
|
Polycarpus' Dice
|
PROGRAMMING
| 1,600
|
[
"math"
] | null | null |
Polycarp has *n* dice *d*1,<=*d*2,<=...,<=*d**n*. The *i*-th dice shows numbers from 1 to *d**i*. Polycarp rolled all the dice and the sum of numbers they showed is *A*. Agrippina didn't see which dice showed what number, she knows only the sum *A* and the values *d*1,<=*d*2,<=...,<=*d**n*. However, she finds it enough to make a series of statements of the following type: dice *i* couldn't show number *r*. For example, if Polycarp had two six-faced dice and the total sum is *A*<==<=11, then Agrippina can state that each of the two dice couldn't show a value less than five (otherwise, the remaining dice must have a value of at least seven, which is impossible).
For each dice find the number of values for which it can be guaranteed that the dice couldn't show these values if the sum of the shown values is *A*.
|
The first line contains two integers *n*,<=*A* (1<=≤<=*n*<=≤<=2·105,<=*n*<=≤<=*A*<=≤<=*s*) — the number of dice and the sum of shown values where *s*<==<=*d*1<=+<=*d*2<=+<=...<=+<=*d**n*.
The second line contains *n* integers *d*1,<=*d*2,<=...,<=*d**n* (1<=≤<=*d**i*<=≤<=106), where *d**i* is the maximum value that the *i*-th dice can show.
|
Print *n* integers *b*1,<=*b*2,<=...,<=*b**n*, where *b**i* is the number of values for which it is guaranteed that the *i*-th dice couldn't show them.
|
[
"2 8\n4 4\n",
"1 3\n5\n",
"2 3\n2 3\n"
] |
[
"3 3 ",
"4 ",
"0 1 "
] |
In the first sample from the statement *A* equal to 8 could be obtained in the only case when both the first and the second dice show 4. Correspondingly, both dice couldn't show values 1, 2 or 3.
In the second sample from the statement *A* equal to 3 could be obtained when the single dice shows 3. Correspondingly, it couldn't show 1, 2, 4 or 5.
In the third sample from the statement *A* equal to 3 could be obtained when one dice shows 1 and the other dice shows 2. That's why the first dice doesn't have any values it couldn't show and the second dice couldn't show 3.
| 1,500
|
[
{
"input": "2 8\n4 4",
"output": "3 3 "
},
{
"input": "1 3\n5",
"output": "4 "
},
{
"input": "2 3\n2 3",
"output": "0 1 "
},
{
"input": "1 1\n3",
"output": "2 "
},
{
"input": "1 2\n3",
"output": "2 "
},
{
"input": "2 2\n2 3",
"output": "1 2 "
},
{
"input": "2 4\n2 3",
"output": "0 1 "
},
{
"input": "3 3\n5 1 5",
"output": "4 0 4 "
},
{
"input": "3 4\n5 1 5",
"output": "3 0 3 "
},
{
"input": "3 5\n5 1 5",
"output": "2 0 2 "
},
{
"input": "3 6\n5 1 5",
"output": "1 0 1 "
},
{
"input": "3 7\n5 1 5",
"output": "0 0 0 "
},
{
"input": "3 8\n5 1 5",
"output": "1 0 1 "
},
{
"input": "3 5\n1 2 100",
"output": "0 0 98 "
},
{
"input": "10 20\n1 1 1 1 5 100 1 1 1 1",
"output": "0 0 0 0 0 95 0 0 0 0 "
},
{
"input": "5 50\n1 1 1 1 1000000",
"output": "0 0 0 0 999999 "
},
{
"input": "5 50\n2 2 2 2 1000000",
"output": "0 0 0 0 999995 "
},
{
"input": "5 50\n10 10 10 10 1000000",
"output": "0 0 0 0 999963 "
},
{
"input": "10 19\n1 5 6 1 6 4 1 2 9 5",
"output": "0 0 0 0 0 0 0 0 0 0 "
},
{
"input": "10 40\n1 5 6 1 6 4 1 2 9 5",
"output": "0 4 5 0 5 3 0 1 8 4 "
},
{
"input": "10 16\n5 7 7 5 9 3 8 5 7 2",
"output": "0 0 0 0 2 0 1 0 0 0 "
},
{
"input": "10 58\n5 7 7 5 9 3 8 5 7 2",
"output": "4 6 6 4 8 2 7 4 6 1 "
},
{
"input": "10 13\n9 9 6 9 10 4 5 10 8 9",
"output": "5 5 2 5 6 0 1 6 4 5 "
},
{
"input": "10 79\n9 9 6 9 10 4 5 10 8 9",
"output": "8 8 5 8 9 3 4 9 7 8 "
},
{
"input": "10 16\n4 1 8 3 3 3 4 3 6 6",
"output": "0 0 1 0 0 0 0 0 0 0 "
},
{
"input": "10 41\n4 1 8 3 3 3 4 3 6 6",
"output": "3 0 7 2 2 2 3 2 5 5 "
},
{
"input": "10 18\n8 1 9 8 4 1 1 8 6 2",
"output": "0 0 0 0 0 0 0 0 0 0 "
},
{
"input": "10 48\n8 1 9 8 4 1 1 8 6 2",
"output": "7 0 8 7 3 0 0 7 5 1 "
},
{
"input": "1 5\n5",
"output": "4 "
}
] | 1,429,019,828
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 99
| 467
| 19,558,400
|
#!/usr/bin/python3
import sys
n, A = list(map(int, sys.stdin.readline().split()))
d = list(map(int, sys.stdin.readline().split()))
s = sum(d)
for x in d:
z = min(A - n + 1, x) - max(1, A - s + x) + 1
if z < 0:
z = 0
sys.stdout.write("%d " % (x - z))
sys.stdout.write('\n')
|
Title: Polycarpus' Dice
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp has *n* dice *d*1,<=*d*2,<=...,<=*d**n*. The *i*-th dice shows numbers from 1 to *d**i*. Polycarp rolled all the dice and the sum of numbers they showed is *A*. Agrippina didn't see which dice showed what number, she knows only the sum *A* and the values *d*1,<=*d*2,<=...,<=*d**n*. However, she finds it enough to make a series of statements of the following type: dice *i* couldn't show number *r*. For example, if Polycarp had two six-faced dice and the total sum is *A*<==<=11, then Agrippina can state that each of the two dice couldn't show a value less than five (otherwise, the remaining dice must have a value of at least seven, which is impossible).
For each dice find the number of values for which it can be guaranteed that the dice couldn't show these values if the sum of the shown values is *A*.
Input Specification:
The first line contains two integers *n*,<=*A* (1<=≤<=*n*<=≤<=2·105,<=*n*<=≤<=*A*<=≤<=*s*) — the number of dice and the sum of shown values where *s*<==<=*d*1<=+<=*d*2<=+<=...<=+<=*d**n*.
The second line contains *n* integers *d*1,<=*d*2,<=...,<=*d**n* (1<=≤<=*d**i*<=≤<=106), where *d**i* is the maximum value that the *i*-th dice can show.
Output Specification:
Print *n* integers *b*1,<=*b*2,<=...,<=*b**n*, where *b**i* is the number of values for which it is guaranteed that the *i*-th dice couldn't show them.
Demo Input:
['2 8\n4 4\n', '1 3\n5\n', '2 3\n2 3\n']
Demo Output:
['3 3 ', '4 ', '0 1 ']
Note:
In the first sample from the statement *A* equal to 8 could be obtained in the only case when both the first and the second dice show 4. Correspondingly, both dice couldn't show values 1, 2 or 3.
In the second sample from the statement *A* equal to 3 could be obtained when the single dice shows 3. Correspondingly, it couldn't show 1, 2, 4 or 5.
In the third sample from the statement *A* equal to 3 could be obtained when one dice shows 1 and the other dice shows 2. That's why the first dice doesn't have any values it couldn't show and the second dice couldn't show 3.
|
```python
#!/usr/bin/python3
import sys
n, A = list(map(int, sys.stdin.readline().split()))
d = list(map(int, sys.stdin.readline().split()))
s = sum(d)
for x in d:
z = min(A - n + 1, x) - max(1, A - s + x) + 1
if z < 0:
z = 0
sys.stdout.write("%d " % (x - z))
sys.stdout.write('\n')
```
| 3
|
|
368
|
A
|
Sereja and Coat Rack
|
PROGRAMMING
| 1,000
|
[
"implementation"
] | null | null |
Sereja owns a restaurant for *n* people. The restaurant hall has a coat rack with *n* hooks. Each restaurant visitor can use a hook to hang his clothes on it. Using the *i*-th hook costs *a**i* rubles. Only one person can hang clothes on one hook.
Tonight Sereja expects *m* guests in the restaurant. Naturally, each guest wants to hang his clothes on an available hook with minimum price (if there are multiple such hooks, he chooses any of them). However if the moment a guest arrives the rack has no available hooks, Sereja must pay a *d* ruble fine to the guest.
Help Sereja find out the profit in rubles (possibly negative) that he will get tonight. You can assume that before the guests arrive, all hooks on the rack are available, all guests come at different time, nobody besides the *m* guests is visiting Sereja's restaurant tonight.
|
The first line contains two integers *n* and *d* (1<=≤<=*n*,<=*d*<=≤<=100). The next line contains integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=100). The third line contains integer *m* (1<=≤<=*m*<=≤<=100).
|
In a single line print a single integer — the answer to the problem.
|
[
"2 1\n2 1\n2\n",
"2 1\n2 1\n10\n"
] |
[
"3\n",
"-5\n"
] |
In the first test both hooks will be used, so Sereja gets 1 + 2 = 3 rubles.
In the second test both hooks will be used but Sereja pays a fine 8 times, so the answer is 3 - 8 = - 5.
| 500
|
[
{
"input": "2 1\n2 1\n2",
"output": "3"
},
{
"input": "2 1\n2 1\n10",
"output": "-5"
},
{
"input": "1 1\n1\n2",
"output": "0"
},
{
"input": "3 96\n83 22 17\n19",
"output": "-1414"
},
{
"input": "8 4\n27 72 39 70 13 68 100 36\n95",
"output": "77"
},
{
"input": "2 65\n23 34\n74",
"output": "-4623"
},
{
"input": "2 48\n12 54\n69",
"output": "-3150"
},
{
"input": "5 30\n63 58 38 60 24\n42",
"output": "-867"
},
{
"input": "9 47\n17 36 91 43 89 7 41 43 65\n49",
"output": "-1448"
},
{
"input": "6 49\n91 30 71 51 7 2\n94",
"output": "-4060"
},
{
"input": "57 27\n73 51 24 86 57 17 27 58 27 58 38 72 70 62 97 23 18 13 18 97 86 42 24 30 30 66 60 33 97 56 54 63 85 35 55 73 58 70 33 64 8 84 12 36 68 49 76 39 24 43 55 12 42 76 60 26 22\n71",
"output": "2454"
},
{
"input": "35 19\n6 84 51 99 80 2 94 35 38 35 57 94 77 6 63 49 82 1 14 42 56 56 43 63 12 78 25 79 53 44 97 74 41 14 76\n73",
"output": "1098"
},
{
"input": "11 91\n18 33 13 96 70 32 41 89 86 91 98\n90",
"output": "-6522"
},
{
"input": "46 48\n54 15 52 41 45 59 36 60 93 6 65 82 4 30 76 9 93 98 50 57 62 28 68 42 30 41 14 75 2 78 16 84 14 93 25 2 93 60 71 29 28 85 76 87 99 71\n88",
"output": "382"
},
{
"input": "5 72\n4 22 64 7 64\n11",
"output": "-271"
},
{
"input": "90 24\n41 65 43 20 14 92 5 19 33 51 6 76 40 4 23 99 48 85 49 72 65 14 76 46 13 47 79 70 63 20 86 90 45 66 41 46 9 19 71 2 24 33 73 53 88 71 64 2 4 24 28 1 70 16 66 29 44 48 89 44 38 10 64 50 82 89 43 9 61 22 59 55 89 47 91 50 44 31 21 49 68 37 84 36 27 86 39 54 30 25\n49",
"output": "1306"
},
{
"input": "60 63\n58 67 45 56 19 27 12 26 56 2 50 97 85 16 65 43 76 14 43 97 49 73 27 7 74 30 5 6 27 13 76 94 66 37 37 42 15 95 57 53 37 39 83 56 16 32 31 42 26 12 38 87 91 51 63 35 94 54 17 53\n9",
"output": "86"
},
{
"input": "34 79\n55 4 35 4 57 49 25 18 14 10 29 1 81 19 59 51 56 62 65 4 77 44 10 3 62 90 49 83 54 75 21 3 24 32\n70",
"output": "-1519"
},
{
"input": "60 91\n9 20 72 4 46 82 5 93 86 14 99 90 23 39 38 11 62 35 9 62 60 94 16 70 38 70 59 1 72 65 18 16 56 16 31 40 13 89 83 55 86 11 85 75 81 16 52 42 16 80 11 99 74 89 78 33 57 90 14 9\n42",
"output": "1406"
},
{
"input": "24 68\n64 29 85 79 1 72 86 75 72 34 68 54 96 69 26 77 30 51 99 10 94 87 81 17\n50",
"output": "-312"
},
{
"input": "29 19\n80 65 22 6 27 17 17 27 67 88 82 65 41 87 22 63 22 65 10 16 3 74 25 42 46 63 24 32 7\n69",
"output": "445"
},
{
"input": "3 37\n8 8 82\n13",
"output": "-272"
},
{
"input": "31 63\n15 10 85 57 91 94 97 53 55 46 9 49 92 13 32 15 40 59 23 5 96 53 70 80 39 24 19 67 60 99 87\n97",
"output": "-2524"
},
{
"input": "34 30\n59 23 47 93 38 26 48 59 3 8 99 31 93 1 79 100 53 49 83 41 16 76 63 68 37 98 19 98 29 52 17 31 50 26\n59",
"output": "963"
},
{
"input": "21 29\n41 61 48 63 56 76 93 62 55 99 47 15 47 89 70 39 64 76 16 22 76\n16",
"output": "782"
},
{
"input": "35 86\n71 6 65 58 63 62 25 50 70 31 24 51 34 26 11 38 37 38 79 94 37 15 65 92 50 36 6 38 5 38 24 65 71 9 69\n82",
"output": "-2489"
},
{
"input": "53 75\n74 53 95 77 27 97 73 50 41 75 20 44 12 42 90 20 66 6 86 17 51 16 10 65 67 94 75 10 1 96 74 90 62 73 69 59 32 69 27 11 23 75 80 11 53 83 92 96 65 75 65 3 56\n61",
"output": "2293"
},
{
"input": "73 13\n22 23 48 78 90 6 96 95 51 44 55 82 13 73 40 29 13 63 68 9 16 9 24 60 35 5 87 20 59 46 7 67 1 68 93 88 33 57 75 48 22 84 23 32 77 84 49 24 83 19 77 21 12 83 57 91 26 25 87 78 70 44 35 78 69 69 92 97 84 29 28 27 72\n98",
"output": "3419"
},
{
"input": "4 39\n28 9 46 9\n86",
"output": "-3106"
},
{
"input": "100 100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100\n100",
"output": "10000"
},
{
"input": "1 100\n100\n100",
"output": "-9800"
},
{
"input": "1 1\n1\n1",
"output": "1"
},
{
"input": "5 1\n1 5 2 7 8\n3",
"output": "8"
},
{
"input": "4 44\n3 3 3 3\n1",
"output": "3"
},
{
"input": "3 1\n1 2 3\n1",
"output": "1"
}
] | 1,679,053,928
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 35
| 78
| 0
|
I=lambda:map(int,input().split())
n,d=I()
a=sorted(I())+[-d]*99
print(sum(a[:next(I())]))
|
Title: Sereja and Coat Rack
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sereja owns a restaurant for *n* people. The restaurant hall has a coat rack with *n* hooks. Each restaurant visitor can use a hook to hang his clothes on it. Using the *i*-th hook costs *a**i* rubles. Only one person can hang clothes on one hook.
Tonight Sereja expects *m* guests in the restaurant. Naturally, each guest wants to hang his clothes on an available hook with minimum price (if there are multiple such hooks, he chooses any of them). However if the moment a guest arrives the rack has no available hooks, Sereja must pay a *d* ruble fine to the guest.
Help Sereja find out the profit in rubles (possibly negative) that he will get tonight. You can assume that before the guests arrive, all hooks on the rack are available, all guests come at different time, nobody besides the *m* guests is visiting Sereja's restaurant tonight.
Input Specification:
The first line contains two integers *n* and *d* (1<=≤<=*n*,<=*d*<=≤<=100). The next line contains integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=100). The third line contains integer *m* (1<=≤<=*m*<=≤<=100).
Output Specification:
In a single line print a single integer — the answer to the problem.
Demo Input:
['2 1\n2 1\n2\n', '2 1\n2 1\n10\n']
Demo Output:
['3\n', '-5\n']
Note:
In the first test both hooks will be used, so Sereja gets 1 + 2 = 3 rubles.
In the second test both hooks will be used but Sereja pays a fine 8 times, so the answer is 3 - 8 = - 5.
|
```python
I=lambda:map(int,input().split())
n,d=I()
a=sorted(I())+[-d]*99
print(sum(a[:next(I())]))
```
| 3
|
|
1,011
|
A
|
Stages
|
PROGRAMMING
| 900
|
[
"greedy",
"implementation",
"sortings"
] | null | null |
Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
|
The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
|
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
|
[
"5 3\nxyabd\n",
"7 4\nproblem\n",
"2 2\nab\n",
"12 1\nabaabbaaabbb\n"
] |
[
"29",
"34",
"-1",
"1"
] |
In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1.
| 500
|
[
{
"input": "5 3\nxyabd",
"output": "29"
},
{
"input": "7 4\nproblem",
"output": "34"
},
{
"input": "2 2\nab",
"output": "-1"
},
{
"input": "12 1\nabaabbaaabbb",
"output": "1"
},
{
"input": "50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "169"
},
{
"input": "50 14\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "-1"
},
{
"input": "1 1\na",
"output": "1"
},
{
"input": "50 1\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "1"
},
{
"input": "50 2\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "-1"
},
{
"input": "13 13\nuwgmkyqeiaocs",
"output": "169"
},
{
"input": "13 13\nhzdxpbfvrltnj",
"output": "182"
},
{
"input": "1 1\nn",
"output": "14"
},
{
"input": "10 8\nsmzeblyjqw",
"output": "113"
},
{
"input": "20 20\ntzmvhskkyugkuuxpvtbh",
"output": "-1"
},
{
"input": "30 15\nwjzolzzkfulwgioksfxmcxmnnjtoav",
"output": "-1"
},
{
"input": "40 30\nxumfrflllrrgswehqtsskefixhcxjrxbjmrpsshv",
"output": "-1"
},
{
"input": "50 31\nahbyyoxltryqdmvenemaqnbakglgqolxnaifnqtoclnnqiabpz",
"output": "-1"
},
{
"input": "10 7\niuiukrxcml",
"output": "99"
},
{
"input": "38 2\nvjzarfykmrsrvwbwfwldsulhxtykmjbnwmdufa",
"output": "5"
},
{
"input": "12 6\nfwseyrarkwcd",
"output": "61"
},
{
"input": "2 2\nac",
"output": "4"
},
{
"input": "1 1\nc",
"output": "3"
},
{
"input": "2 2\nad",
"output": "5"
},
{
"input": "2 1\nac",
"output": "1"
},
{
"input": "4 3\nadjz",
"output": "15"
},
{
"input": "3 3\naoz",
"output": "42"
},
{
"input": "3 1\nzzz",
"output": "26"
},
{
"input": "2 1\nxz",
"output": "24"
},
{
"input": "5 1\naaddd",
"output": "1"
}
] | 1,533,044,535
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 29
| 109
| 0
|
n, k = map(int, input().split())
s = input()
alph = 'abcdefghijklmnopqrstuvwxyz'
s = sorted(s)
min_count = float('inf')
for i in range(n):
c = 1
j = 0
count = alph.find(s[i]) + 1
x = alph.find(s[i])
while c != k and j != n:
if i != j and alph.find(s[j]) > x + 1:
c += 1
count += alph.find(s[j]) + 1
x = alph.find(s[j])
j += 1
if c == k and count < min_count:
min_count = count
print(-1 if min_count == float('inf') else min_count)
|
Title: Stages
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input Specification:
The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output Specification:
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Demo Input:
['5 3\nxyabd\n', '7 4\nproblem\n', '2 2\nab\n', '12 1\nabaabbaaabbb\n']
Demo Output:
['29', '34', '-1', '1']
Note:
In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1.
|
```python
n, k = map(int, input().split())
s = input()
alph = 'abcdefghijklmnopqrstuvwxyz'
s = sorted(s)
min_count = float('inf')
for i in range(n):
c = 1
j = 0
count = alph.find(s[i]) + 1
x = alph.find(s[i])
while c != k and j != n:
if i != j and alph.find(s[j]) > x + 1:
c += 1
count += alph.find(s[j]) + 1
x = alph.find(s[j])
j += 1
if c == k and count < min_count:
min_count = count
print(-1 if min_count == float('inf') else min_count)
```
| 3
|
|
999
|
B
|
Reversing Encryption
|
PROGRAMMING
| 900
|
[
"implementation"
] | null | null |
A string $s$ of length $n$ can be encrypted by the following algorithm:
- iterate over all divisors of $n$ in decreasing order (i.e. from $n$ to $1$), - for each divisor $d$, reverse the substring $s[1 \dots d]$ (i.e. the substring which starts at position $1$ and ends at position $d$).
For example, the above algorithm applied to the string $s$="codeforces" leads to the following changes: "codeforces" $\to$ "secrofedoc" $\to$ "orcesfedoc" $\to$ "rocesfedoc" $\to$ "rocesfedoc" (obviously, the last reverse operation doesn't change the string because $d=1$).
You are given the encrypted string $t$. Your task is to decrypt this string, i.e., to find a string $s$ such that the above algorithm results in string $t$. It can be proven that this string $s$ always exists and is unique.
|
The first line of input consists of a single integer $n$ ($1 \le n \le 100$) — the length of the string $t$. The second line of input consists of the string $t$. The length of $t$ is $n$, and it consists only of lowercase Latin letters.
|
Print a string $s$ such that the above algorithm results in $t$.
|
[
"10\nrocesfedoc\n",
"16\nplmaetwoxesisiht\n",
"1\nz\n"
] |
[
"codeforces\n",
"thisisexampletwo\n",
"z\n"
] |
The first example is described in the problem statement.
| 0
|
[
{
"input": "10\nrocesfedoc",
"output": "codeforces"
},
{
"input": "16\nplmaetwoxesisiht",
"output": "thisisexampletwo"
},
{
"input": "1\nz",
"output": "z"
},
{
"input": "2\nir",
"output": "ri"
},
{
"input": "3\nilj",
"output": "jli"
},
{
"input": "4\njfyy",
"output": "yyjf"
},
{
"input": "6\nkrdych",
"output": "hcyrkd"
},
{
"input": "60\nfnebsopcvmlaoecpzmakqigyuutueuozjxutlwwiochekmhjgwxsgfbcrpqj",
"output": "jqprcbfgsxwgjhmkehcoiwwltuxjzokamzpalobnfespcvmoecqigyuutueu"
},
{
"input": "64\nhnlzzhrvqnldswxfsrowfhmyzbxtyoxhogudasgywxycyhzgiseerbislcncvnwy",
"output": "ywnvcnclsibreesigzhycyxwygsadugofxwsdlnqzlhnzhrvsrowfhmyzbxtyoxh"
},
{
"input": "97\nqnqrmdhmbubaijtwsecbidqouhlecladwgwcuxbigckrfzasnbfbslukoayhcgquuacygakhxoubibxtqkpyyhzjipylujgrc",
"output": "crgjulypijzhyypkqtxbibuoxhkagycauuqgchyaokulsbfbnsazfrkcgibxucwgwdalcelhuoqdibceswtjiabubmhdmrqnq"
},
{
"input": "100\nedykhvzcntljuuoqghptioetqnfllwekzohiuaxelgecabvsbibgqodqxvyfkbyjwtgbyhvssntinkwsinwsmalusiwnjmtcoovf",
"output": "fvooctmjnwisulamswniswknitnssvhybgtwjybkfyvxqdoqgbqteoitnczvkyedhljuuoqghptnfllwekzohiuaxelgecabvsbi"
},
{
"input": "96\nqtbcksuvxonzbkokhqlgkrvimzqmqnrvqlihrmksldyydacbtckfphenxszcnzhfjmpeykrvshgiboivkvabhrpphgavvprz",
"output": "zrpvvaghpprhbavkviobighsvrkyepmjfhznczsxnehpfkctvrnqmqzmkokbvuctqbksxonzhqlgkrviqlihrmksldyydacb"
},
{
"input": "90\nmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm",
"output": "mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm"
},
{
"input": "89\nwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww",
"output": "wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww"
},
{
"input": "99\nqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq",
"output": "qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq"
},
{
"input": "100\noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo",
"output": "oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo"
},
{
"input": "60\nwwwwwxwwwwwwfhwwhwwwwwwawwwwwwwwwwwwwnwwwwwwwwwwwwwwwwwwwwww",
"output": "wwwwwwwwwwwwwwwwwwwwwwnwwwwwwwwwwhwwwxwwwwwwwwwfhwwwwawwwwww"
},
{
"input": "90\ncccchccccccccccccccccccccccccccwcccccccccgcccccchccccccccccccccccccccccxccccccncccccccuccc",
"output": "cccucccccccnccccccxcccccccccccccccccccccchccccccccccccccccccccccchccccccccccwcccccccccgccc"
},
{
"input": "97\nfwffffffffffffffffffffffffrffffffffffffffzfffffffffffffffftfcfffffffqffffffffffffffffffffffyfffff",
"output": "fffffyffffffffffffffffffffffqfffffffcftffffffffffffffffzffffffffffffffrffffffffffffffffffffffffwf"
},
{
"input": "100\ndjjjjjjjjjjgjjjjjjjjjjjjjjsvjjjjjjjjjjmjjjjjjjjjjjjjajjjjjjajjjjjjrjjjjjjjjjjjjrjjtjjjjjjjjjjjjjojjj",
"output": "jjjojjjjjjjjjjjjjtjjrjjjjjjjjjjjjrjjjjjjajjjjjjajjjjjjjjjjjjjjdjjjgjjjjjjjjjsvjjjjjjjjjjmjjjjjjjjjjj"
}
] | 1,648,591,851
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 20
| 46
| 0
|
# c4ts0up
n = int(input())
cad = input()
divs = []
for i in range(1, n+1, 1):
if (n%i == 0):
divs.append(i)
for d in divs:
rev = cad[:d]
rev = rev[::-1]
normal = cad[d:]
cad = rev + normal
print(cad)
|
Title: Reversing Encryption
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A string $s$ of length $n$ can be encrypted by the following algorithm:
- iterate over all divisors of $n$ in decreasing order (i.e. from $n$ to $1$), - for each divisor $d$, reverse the substring $s[1 \dots d]$ (i.e. the substring which starts at position $1$ and ends at position $d$).
For example, the above algorithm applied to the string $s$="codeforces" leads to the following changes: "codeforces" $\to$ "secrofedoc" $\to$ "orcesfedoc" $\to$ "rocesfedoc" $\to$ "rocesfedoc" (obviously, the last reverse operation doesn't change the string because $d=1$).
You are given the encrypted string $t$. Your task is to decrypt this string, i.e., to find a string $s$ such that the above algorithm results in string $t$. It can be proven that this string $s$ always exists and is unique.
Input Specification:
The first line of input consists of a single integer $n$ ($1 \le n \le 100$) — the length of the string $t$. The second line of input consists of the string $t$. The length of $t$ is $n$, and it consists only of lowercase Latin letters.
Output Specification:
Print a string $s$ such that the above algorithm results in $t$.
Demo Input:
['10\nrocesfedoc\n', '16\nplmaetwoxesisiht\n', '1\nz\n']
Demo Output:
['codeforces\n', 'thisisexampletwo\n', 'z\n']
Note:
The first example is described in the problem statement.
|
```python
# c4ts0up
n = int(input())
cad = input()
divs = []
for i in range(1, n+1, 1):
if (n%i == 0):
divs.append(i)
for d in divs:
rev = cad[:d]
rev = rev[::-1]
normal = cad[d:]
cad = rev + normal
print(cad)
```
| 3
|
|
755
|
B
|
PolandBall and Game
|
PROGRAMMING
| 1,100
|
[
"binary search",
"data structures",
"games",
"greedy",
"sortings",
"strings"
] | null | null |
PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses.
You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally?
|
The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=103) — number of words PolandBall and EnemyBall know, respectively.
Then *n* strings follow, one per line — words familiar to PolandBall.
Then *m* strings follow, one per line — words familiar to EnemyBall.
Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players.
Each word is non-empty and consists of no more than 500 lowercase English alphabet letters.
|
In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally.
|
[
"5 1\npolandball\nis\na\ncool\ncharacter\nnope\n",
"2 2\nkremowka\nwadowicka\nkremowka\nwiedenska\n",
"1 2\na\na\nb\n"
] |
[
"YES",
"YES",
"NO"
] |
In the first example PolandBall knows much more words and wins effortlessly.
In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
| 1,000
|
[
{
"input": "5 1\npolandball\nis\na\ncool\ncharacter\nnope",
"output": "YES"
},
{
"input": "2 2\nkremowka\nwadowicka\nkremowka\nwiedenska",
"output": "YES"
},
{
"input": "1 2\na\na\nb",
"output": "NO"
},
{
"input": "2 2\na\nb\nb\nc",
"output": "YES"
},
{
"input": "2 1\nc\na\na",
"output": "YES"
},
{
"input": "3 3\nab\nbc\ncd\ncd\ndf\nfg",
"output": "YES"
},
{
"input": "3 3\nc\na\nb\na\nd\ng",
"output": "YES"
},
{
"input": "1 1\naa\naa",
"output": "YES"
},
{
"input": "2 1\na\nb\na",
"output": "YES"
},
{
"input": "6 5\na\nb\nc\nd\ne\nf\nf\ne\nd\nz\ny",
"output": "YES"
},
{
"input": "3 2\na\nb\nc\nd\ne",
"output": "YES"
}
] | 1,674,233,677
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 33
| 109
| 1,638,400
|
x, y = [int(x) for x in input().split()]
lisx = []
for i in range(x):
pala = str(input())
lisx.append(pala)
lisy = []
for i in range(y):
pala = str(input())
lisy.append(pala)
iguais = 0
for i in lisx:
if i in lisy:
iguais += 1
if iguais % 2 == 0:
if x > y:
print('YES')
else:
print('NO')
else:
if x+1 > y:
print('YES')
else:
print('NO')
|
Title: PolandBall and Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses.
You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally?
Input Specification:
The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=103) — number of words PolandBall and EnemyBall know, respectively.
Then *n* strings follow, one per line — words familiar to PolandBall.
Then *m* strings follow, one per line — words familiar to EnemyBall.
Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players.
Each word is non-empty and consists of no more than 500 lowercase English alphabet letters.
Output Specification:
In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally.
Demo Input:
['5 1\npolandball\nis\na\ncool\ncharacter\nnope\n', '2 2\nkremowka\nwadowicka\nkremowka\nwiedenska\n', '1 2\na\na\nb\n']
Demo Output:
['YES', 'YES', 'NO']
Note:
In the first example PolandBall knows much more words and wins effortlessly.
In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
|
```python
x, y = [int(x) for x in input().split()]
lisx = []
for i in range(x):
pala = str(input())
lisx.append(pala)
lisy = []
for i in range(y):
pala = str(input())
lisy.append(pala)
iguais = 0
for i in lisx:
if i in lisy:
iguais += 1
if iguais % 2 == 0:
if x > y:
print('YES')
else:
print('NO')
else:
if x+1 > y:
print('YES')
else:
print('NO')
```
| 3
|
|
34
|
B
|
Sale
|
PROGRAMMING
| 900
|
[
"greedy",
"sortings"
] |
B. Sale
|
2
|
256
|
Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price — their owners are ready to pay Bob if he buys their useless apparatus. Bob can «buy» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV sets, and he has no desire to go to the sale for the second time. Please, help Bob find out the maximum sum of money that he can earn.
|
The first line contains two space-separated integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100) — amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≤<=*a**i*<=≤<=1000) — prices of the TV sets.
|
Output the only number — the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets.
|
[
"5 3\n-6 0 35 -2 4\n",
"4 2\n7 0 0 -7\n"
] |
[
"8\n",
"7\n"
] |
none
| 1,000
|
[
{
"input": "5 3\n-6 0 35 -2 4",
"output": "8"
},
{
"input": "4 2\n7 0 0 -7",
"output": "7"
},
{
"input": "6 6\n756 -611 251 -66 572 -818",
"output": "1495"
},
{
"input": "5 5\n976 437 937 788 518",
"output": "0"
},
{
"input": "5 3\n-2 -2 -2 -2 -2",
"output": "6"
},
{
"input": "5 1\n998 997 985 937 998",
"output": "0"
},
{
"input": "2 2\n-742 -187",
"output": "929"
},
{
"input": "3 3\n522 597 384",
"output": "0"
},
{
"input": "4 2\n-215 -620 192 647",
"output": "835"
},
{
"input": "10 6\n557 605 685 231 910 633 130 838 -564 -85",
"output": "649"
},
{
"input": "20 14\n932 442 960 943 624 624 955 998 631 910 850 517 715 123 1000 155 -10 961 966 59",
"output": "10"
},
{
"input": "30 5\n991 997 996 967 977 999 991 986 1000 965 984 997 998 1000 958 983 974 1000 991 999 1000 978 961 992 990 998 998 978 998 1000",
"output": "0"
},
{
"input": "50 20\n-815 -947 -946 -993 -992 -846 -884 -954 -963 -733 -940 -746 -766 -930 -821 -937 -937 -999 -914 -938 -936 -975 -939 -981 -977 -952 -925 -901 -952 -978 -994 -957 -946 -896 -905 -836 -994 -951 -887 -939 -859 -953 -985 -988 -946 -829 -956 -842 -799 -886",
"output": "19441"
},
{
"input": "88 64\n999 999 1000 1000 999 996 995 1000 1000 999 1000 997 998 1000 999 1000 997 1000 993 998 994 999 998 996 1000 997 1000 1000 1000 997 1000 998 997 1000 1000 998 1000 998 999 1000 996 999 999 999 996 995 999 1000 998 999 1000 999 999 1000 1000 1000 996 1000 1000 1000 997 1000 1000 997 999 1000 1000 1000 1000 1000 999 999 1000 1000 996 999 1000 1000 995 999 1000 996 1000 998 999 999 1000 999",
"output": "0"
},
{
"input": "99 17\n-993 -994 -959 -989 -991 -995 -976 -997 -990 -1000 -996 -994 -999 -995 -1000 -983 -979 -1000 -989 -968 -994 -992 -962 -993 -999 -983 -991 -979 -995 -993 -973 -999 -995 -995 -999 -993 -995 -992 -947 -1000 -999 -998 -982 -988 -979 -993 -963 -988 -980 -990 -979 -976 -995 -999 -981 -988 -998 -999 -970 -1000 -983 -994 -943 -975 -998 -977 -973 -997 -959 -999 -983 -985 -950 -977 -977 -991 -998 -973 -987 -985 -985 -986 -984 -994 -978 -998 -989 -989 -988 -970 -985 -974 -997 -981 -962 -972 -995 -988 -993",
"output": "16984"
},
{
"input": "100 37\n205 19 -501 404 912 -435 -322 -469 -655 880 -804 -470 793 312 -108 586 -642 -928 906 605 -353 -800 745 -440 -207 752 -50 -28 498 -800 -62 -195 602 -833 489 352 536 404 -775 23 145 -512 524 759 651 -461 -427 -557 684 -366 62 592 -563 -811 64 418 -881 -308 591 -318 -145 -261 -321 -216 -18 595 -202 960 -4 219 226 -238 -882 -963 425 970 -434 -160 243 -672 -4 873 8 -633 904 -298 -151 -377 -61 -72 -677 -66 197 -716 3 -870 -30 152 -469 981",
"output": "21743"
},
{
"input": "100 99\n-931 -806 -830 -828 -916 -962 -660 -867 -952 -966 -820 -906 -724 -982 -680 -717 -488 -741 -897 -613 -986 -797 -964 -939 -808 -932 -810 -860 -641 -916 -858 -628 -821 -929 -917 -976 -664 -985 -778 -665 -624 -928 -940 -958 -884 -757 -878 -896 -634 -526 -514 -873 -990 -919 -988 -878 -650 -973 -774 -783 -733 -648 -756 -895 -833 -974 -832 -725 -841 -748 -806 -613 -924 -867 -881 -943 -864 -991 -809 -926 -777 -817 -998 -682 -910 -996 -241 -722 -964 -904 -821 -920 -835 -699 -805 -632 -779 -317 -915 -654",
"output": "81283"
},
{
"input": "100 14\n995 994 745 684 510 737 984 690 979 977 542 933 871 603 758 653 962 997 747 974 773 766 975 770 527 960 841 989 963 865 974 967 950 984 757 685 986 809 982 959 931 880 978 867 805 562 970 900 834 782 616 885 910 608 974 918 576 700 871 980 656 941 978 759 767 840 573 859 841 928 693 853 716 927 976 851 962 962 627 797 707 873 869 988 993 533 665 887 962 880 929 980 877 887 572 790 721 883 848 782",
"output": "0"
},
{
"input": "100 84\n768 946 998 752 931 912 826 1000 991 910 875 962 901 952 958 733 959 908 872 840 923 826 952 980 974 980 947 955 959 822 997 963 966 933 829 923 971 999 926 932 865 984 974 858 994 855 949 941 992 861 951 949 991 711 763 728 935 485 716 907 869 952 960 859 909 963 978 942 968 933 923 909 997 962 687 764 924 774 875 1000 961 951 987 974 848 921 966 859 995 997 974 931 886 941 974 986 906 978 998 823",
"output": "0"
},
{
"input": "100 80\n-795 -994 -833 -930 -974 -980 -950 -940 -788 -927 -583 -956 -945 -949 -809 -974 -957 -736 -967 -908 -975 -961 -986 -983 -963 -771 -952 -847 -751 -741 -982 -959 -925 -931 -839 -937 -880 -914 -858 -998 -812 -911 -862 -965 -943 -984 -738 -920 -950 -998 -909 -998 -781 -901 -677 -940 -985 -951 -675 -952 -967 -949 -882 -641 -969 -937 -975 -993 -913 -941 -807 -851 -832 -960 -939 -943 -895 -929 -528 -880 -823 -930 -888 -862 -948 -966 -962 -857 -799 -969 -833 -998 -952 -878 -946 -971 -976 -974 -723 -992",
"output": "75068"
},
{
"input": "1 1\n0",
"output": "0"
},
{
"input": "1 1\n1",
"output": "0"
},
{
"input": "1 1\n555",
"output": "0"
},
{
"input": "1 1\n-1",
"output": "1"
},
{
"input": "1 1\n-24",
"output": "24"
}
] | 1,559,985,896
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 25
| 218
| 0
|
# hamed damirchi 95222031
n, m = [int(x) for x in input().split()]
TV_prices = [int(x) for x in input().split()]
max_benefit = 0
TV_prices_minuses = []
for i in TV_prices:
if i<0:
TV_prices_minuses.append(abs(i))
TV_prices_minuses.sort()
TV_prices_minuses.reverse()
for i in range(m):
if len(TV_prices_minuses)>i:
max_benefit+=TV_prices_minuses[i]
print(max_benefit)
|
Title: Sale
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price — their owners are ready to pay Bob if he buys their useless apparatus. Bob can «buy» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV sets, and he has no desire to go to the sale for the second time. Please, help Bob find out the maximum sum of money that he can earn.
Input Specification:
The first line contains two space-separated integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100) — amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≤<=*a**i*<=≤<=1000) — prices of the TV sets.
Output Specification:
Output the only number — the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets.
Demo Input:
['5 3\n-6 0 35 -2 4\n', '4 2\n7 0 0 -7\n']
Demo Output:
['8\n', '7\n']
Note:
none
|
```python
# hamed damirchi 95222031
n, m = [int(x) for x in input().split()]
TV_prices = [int(x) for x in input().split()]
max_benefit = 0
TV_prices_minuses = []
for i in TV_prices:
if i<0:
TV_prices_minuses.append(abs(i))
TV_prices_minuses.sort()
TV_prices_minuses.reverse()
for i in range(m):
if len(TV_prices_minuses)>i:
max_benefit+=TV_prices_minuses[i]
print(max_benefit)
```
| 3.9455
|
501
|
A
|
Contest
|
PROGRAMMING
| 900
|
[
"implementation"
] | null | null |
Misha and Vasya participated in a Codeforces contest. Unfortunately, each of them solved only one problem, though successfully submitted it at the first attempt. Misha solved the problem that costs *a* points and Vasya solved the problem that costs *b* points. Besides, Misha submitted the problem *c* minutes after the contest started and Vasya submitted the problem *d* minutes after the contest started. As you know, on Codeforces the cost of a problem reduces as a round continues. That is, if you submit a problem that costs *p* points *t* minutes after the contest started, you get points.
Misha and Vasya are having an argument trying to find out who got more points. Help them to find out the truth.
|
The first line contains four integers *a*, *b*, *c*, *d* (250<=≤<=*a*,<=*b*<=≤<=3500, 0<=≤<=*c*,<=*d*<=≤<=180).
It is guaranteed that numbers *a* and *b* are divisible by 250 (just like on any real Codeforces round).
|
Output on a single line:
"Misha" (without the quotes), if Misha got more points than Vasya.
"Vasya" (without the quotes), if Vasya got more points than Misha.
"Tie" (without the quotes), if both of them got the same number of points.
|
[
"500 1000 20 30\n",
"1000 1000 1 1\n",
"1500 1000 176 177\n"
] |
[
"Vasya\n",
"Tie\n",
"Misha\n"
] |
none
| 500
|
[
{
"input": "500 1000 20 30",
"output": "Vasya"
},
{
"input": "1000 1000 1 1",
"output": "Tie"
},
{
"input": "1500 1000 176 177",
"output": "Misha"
},
{
"input": "1500 1000 74 177",
"output": "Misha"
},
{
"input": "750 2500 175 178",
"output": "Vasya"
},
{
"input": "750 1000 54 103",
"output": "Tie"
},
{
"input": "2000 1250 176 130",
"output": "Tie"
},
{
"input": "1250 1750 145 179",
"output": "Tie"
},
{
"input": "2000 2000 176 179",
"output": "Tie"
},
{
"input": "1500 1500 148 148",
"output": "Tie"
},
{
"input": "2750 1750 134 147",
"output": "Misha"
},
{
"input": "3250 250 175 173",
"output": "Misha"
},
{
"input": "500 500 170 176",
"output": "Misha"
},
{
"input": "250 1000 179 178",
"output": "Vasya"
},
{
"input": "3250 1000 160 138",
"output": "Misha"
},
{
"input": "3000 2000 162 118",
"output": "Tie"
},
{
"input": "1500 1250 180 160",
"output": "Tie"
},
{
"input": "1250 2500 100 176",
"output": "Tie"
},
{
"input": "3500 3500 177 178",
"output": "Tie"
},
{
"input": "3000 3250 16 34",
"output": "Tie"
},
{
"input": "1750 3000 137 49",
"output": "Vasya"
},
{
"input": "500 1500 179 71",
"output": "Vasya"
},
{
"input": "1250 2000 101 180",
"output": "Misha"
},
{
"input": "250 750 180 176",
"output": "Vasya"
},
{
"input": "2250 2250 163 145",
"output": "Vasya"
},
{
"input": "3000 3000 176 78",
"output": "Vasya"
},
{
"input": "250 3500 8 178",
"output": "Vasya"
},
{
"input": "1750 1250 179 180",
"output": "Misha"
},
{
"input": "2750 1750 13 164",
"output": "Misha"
},
{
"input": "1750 2250 178 53",
"output": "Vasya"
},
{
"input": "2500 2750 73 179",
"output": "Misha"
},
{
"input": "1000 3500 178 175",
"output": "Vasya"
},
{
"input": "1000 500 7 162",
"output": "Misha"
},
{
"input": "1000 250 175 48",
"output": "Misha"
},
{
"input": "1750 500 166 177",
"output": "Misha"
},
{
"input": "250 250 0 0",
"output": "Tie"
},
{
"input": "250 3500 0 0",
"output": "Vasya"
},
{
"input": "250 3500 0 180",
"output": "Vasya"
},
{
"input": "3500 3500 180 180",
"output": "Tie"
},
{
"input": "3500 250 0 180",
"output": "Misha"
}
] | 1,683,206,263
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 40
| 62
| 0
|
def pts(p, t):
return max(3 * p // 10, p - p * t // 250)
a, b, c, d = map(int, input().split())
m, v = pts(a, c), pts(b, d)
if m == v:
print("Tie")
else:
print(["Vasya","Misha"][m > v])
|
Title: Contest
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Misha and Vasya participated in a Codeforces contest. Unfortunately, each of them solved only one problem, though successfully submitted it at the first attempt. Misha solved the problem that costs *a* points and Vasya solved the problem that costs *b* points. Besides, Misha submitted the problem *c* minutes after the contest started and Vasya submitted the problem *d* minutes after the contest started. As you know, on Codeforces the cost of a problem reduces as a round continues. That is, if you submit a problem that costs *p* points *t* minutes after the contest started, you get points.
Misha and Vasya are having an argument trying to find out who got more points. Help them to find out the truth.
Input Specification:
The first line contains four integers *a*, *b*, *c*, *d* (250<=≤<=*a*,<=*b*<=≤<=3500, 0<=≤<=*c*,<=*d*<=≤<=180).
It is guaranteed that numbers *a* and *b* are divisible by 250 (just like on any real Codeforces round).
Output Specification:
Output on a single line:
"Misha" (without the quotes), if Misha got more points than Vasya.
"Vasya" (without the quotes), if Vasya got more points than Misha.
"Tie" (without the quotes), if both of them got the same number of points.
Demo Input:
['500 1000 20 30\n', '1000 1000 1 1\n', '1500 1000 176 177\n']
Demo Output:
['Vasya\n', 'Tie\n', 'Misha\n']
Note:
none
|
```python
def pts(p, t):
return max(3 * p // 10, p - p * t // 250)
a, b, c, d = map(int, input().split())
m, v = pts(a, c), pts(b, d)
if m == v:
print("Tie")
else:
print(["Vasya","Misha"][m > v])
```
| 3
|
|
58
|
A
|
Chat room
|
PROGRAMMING
| 1,000
|
[
"greedy",
"strings"
] |
A. Chat room
|
1
|
256
|
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
|
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
|
If Vasya managed to say hello, print "YES", otherwise print "NO".
|
[
"ahhellllloou\n",
"hlelo\n"
] |
[
"YES\n",
"NO\n"
] |
none
| 500
|
[
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymedasloqbq",
"output": "NO"
},
{
"input": "yehluhlkwo",
"output": "NO"
},
{
"input": "hatlevhhalrohairnolsvocafgueelrqmlqlleello",
"output": "YES"
},
{
"input": "hhhtehdbllnhwmbyhvelqqyoulretpbfokflhlhreeflxeftelziclrwllrpflflbdtotvlqgoaoqldlroovbfsq",
"output": "YES"
},
{
"input": "rzlvihhghnelqtwlexmvdjjrliqllolhyewgozkuovaiezgcilelqapuoeglnwmnlftxxiigzczlouooi",
"output": "YES"
},
{
"input": "pfhhwctyqdlkrwhebfqfelhyebwllhemtrmeblgrynmvyhioesqklclocxmlffuormljszllpoo",
"output": "YES"
},
{
"input": "lqllcolohwflhfhlnaow",
"output": "NO"
},
{
"input": "heheeellollvoo",
"output": "YES"
},
{
"input": "hellooo",
"output": "YES"
},
{
"input": "o",
"output": "NO"
},
{
"input": "hhqhzeclohlehljlhtesllylrolmomvuhcxsobtsckogdv",
"output": "YES"
},
{
"input": "yoegfuzhqsihygnhpnukluutocvvwuldiighpogsifealtgkfzqbwtmgghmythcxflebrkctlldlkzlagovwlstsghbouk",
"output": "YES"
},
{
"input": "uatqtgbvrnywfacwursctpagasnhydvmlinrcnqrry",
"output": "NO"
},
{
"input": "tndtbldbllnrwmbyhvqaqqyoudrstpbfokfoclnraefuxtftmgzicorwisrpfnfpbdtatvwqgyalqtdtrjqvbfsq",
"output": "NO"
},
{
"input": "rzlvirhgemelnzdawzpaoqtxmqucnahvqnwldklrmjiiyageraijfivigvozgwngiulttxxgzczptusoi",
"output": "YES"
},
{
"input": "kgyelmchocojsnaqdsyeqgnllytbqietpdlgknwwumqkxrexgdcnwoldicwzwofpmuesjuxzrasscvyuqwspm",
"output": "YES"
},
{
"input": "pnyvrcotjvgynbeldnxieghfltmexttuxzyac",
"output": "NO"
},
{
"input": "dtwhbqoumejligbenxvzhjlhosqojetcqsynlzyhfaevbdpekgbtjrbhlltbceobcok",
"output": "YES"
},
{
"input": "crrfpfftjwhhikwzeedrlwzblckkteseofjuxjrktcjfsylmlsvogvrcxbxtffujqshslemnixoeezivksouefeqlhhokwbqjz",
"output": "YES"
},
{
"input": "jhfbndhyzdvhbvhmhmefqllujdflwdpjbehedlsqfdsqlyelwjtyloxwsvasrbqosblzbowlqjmyeilcvotdlaouxhdpoeloaovb",
"output": "YES"
},
{
"input": "hwlghueoemiqtjhhpashjsouyegdlvoyzeunlroypoprnhlyiwiuxrghekaylndhrhllllwhbebezoglydcvykllotrlaqtvmlla",
"output": "YES"
},
{
"input": "wshiaunnqnqxodholbipwhhjmyeblhgpeleblklpzwhdunmpqkbuzloetmwwxmeltkrcomulxauzlwmlklldjodozxryghsnwgcz",
"output": "YES"
},
{
"input": "shvksednttggehroewuiptvvxtrzgidravtnjwuqrlnnkxbplctzkckinpkgjopjfoxdbojtcvsuvablcbkrzajrlhgobkcxeqti",
"output": "YES"
},
{
"input": "hyyhddqhxhekehkwfhlnlsihzefwchzerevcjtokefplholrbvxlltdlafjxrfhleglrvlolojoqaolagtbeyogxlbgfolllslli",
"output": "YES"
},
{
"input": "iaagrdhhelxpdegueiulflquvlzidoprzkehthkldaytrjwhyhprwjxlltinxvuilxohqgjqcvkkdcuoliekcnlilwgqlnlzouoo",
"output": "YES"
},
{
"input": "wfluaeseldgxyvxpwuhkptdmlflnlhktwxiabsvkolsquymrmhzczzoybvlilhmvsuunggvgxzgyyffk",
"output": "NO"
},
{
"input": "loee",
"output": "NO"
},
{
"input": "izdipwylefqmjbuoznfglgcfvedeouflkeehxbasaqmiooppfsqlhprospqgxvzrcpwlfdddngoqvpwvggsnvvxhmjoslwjudjlo",
"output": "NO"
},
{
"input": "pplynflbjlseflaegzqpdxswgunhnlglqhycrbcwdfhclmcrwekkzsoosmfblljeenwfjyifcvxihhhbyhmhlkvtskeglaovjnsi",
"output": "YES"
},
{
"input": "xqjqmenkodmlhzyzmmvofdngktygbbxbzpluzcohohmalkoeuwfikblltaaigv",
"output": "NO"
},
{
"input": "hello",
"output": "YES"
},
{
"input": "oohell",
"output": "NO"
},
{
"input": "hell",
"output": "NO"
},
{
"input": "eloellohoelo",
"output": "NO"
},
{
"input": "helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllo",
"output": "YES"
}
] | 1,678,385,228
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 40
| 62
| 0
|
s = input()
f = []
for i in range(len(s)):
if s[i] == "h" and "h" not in f: f.append(s[i])
if s[i] == "e" and "e" not in f and "h" in f: f.append(s[i])
if s[i] == "l" and f.count("l") < 2 and "h" in f and "e" in f: f.append(s[i])
if s[i] == "o" and "o" not in f and "h" in f and "e" in f and f.count("l") == 2: f.append(s[i])
res = "".join(f)
if res == "hello":
print("YES")
else:
print("NO")
|
Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none
|
```python
s = input()
f = []
for i in range(len(s)):
if s[i] == "h" and "h" not in f: f.append(s[i])
if s[i] == "e" and "e" not in f and "h" in f: f.append(s[i])
if s[i] == "l" and f.count("l") < 2 and "h" in f and "e" in f: f.append(s[i])
if s[i] == "o" and "o" not in f and "h" in f and "e" in f and f.count("l") == 2: f.append(s[i])
res = "".join(f)
if res == "hello":
print("YES")
else:
print("NO")
```
| 3.969
|
994
|
A
|
Fingerprints
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
You are locked in a room with a door that has a keypad with 10 keys corresponding to digits from 0 to 9. To escape from the room, you need to enter a correct code. You also have a sequence of digits.
Some keys on the keypad have fingerprints. You believe the correct code is the longest not necessarily contiguous subsequence of the sequence you have that only contains digits with fingerprints on the corresponding keys. Find such code.
|
The first line contains two integers $n$ and $m$ ($1 \le n, m \le 10$) representing the number of digits in the sequence you have and the number of keys on the keypad that have fingerprints.
The next line contains $n$ distinct space-separated integers $x_1, x_2, \ldots, x_n$ ($0 \le x_i \le 9$) representing the sequence.
The next line contains $m$ distinct space-separated integers $y_1, y_2, \ldots, y_m$ ($0 \le y_i \le 9$) — the keys with fingerprints.
|
In a single line print a space-separated sequence of integers representing the code. If the resulting sequence is empty, both printing nothing and printing a single line break is acceptable.
|
[
"7 3\n3 5 7 1 6 2 8\n1 2 7\n",
"4 4\n3 4 1 0\n0 1 7 9\n"
] |
[
"7 1 2\n",
"1 0\n"
] |
In the first example, the only digits with fingerprints are $1$, $2$ and $7$. All three of them appear in the sequence you know, $7$ first, then $1$ and then $2$. Therefore the output is 7 1 2. Note that the order is important, and shall be the same as the order in the original sequence.
In the second example digits $0$, $1$, $7$ and $9$ have fingerprints, however only $0$ and $1$ appear in the original sequence. $1$ appears earlier, so the output is 1 0. Again, the order is important.
| 500
|
[
{
"input": "7 3\n3 5 7 1 6 2 8\n1 2 7",
"output": "7 1 2"
},
{
"input": "4 4\n3 4 1 0\n0 1 7 9",
"output": "1 0"
},
{
"input": "9 4\n9 8 7 6 5 4 3 2 1\n2 4 6 8",
"output": "8 6 4 2"
},
{
"input": "10 5\n3 7 1 2 4 6 9 0 5 8\n4 3 0 7 9",
"output": "3 7 4 9 0"
},
{
"input": "10 10\n1 2 3 4 5 6 7 8 9 0\n4 5 6 7 1 2 3 0 9 8",
"output": "1 2 3 4 5 6 7 8 9 0"
},
{
"input": "1 1\n4\n4",
"output": "4"
},
{
"input": "3 7\n6 3 4\n4 9 0 1 7 8 6",
"output": "6 4"
},
{
"input": "10 1\n9 0 8 1 7 4 6 5 2 3\n0",
"output": "0"
},
{
"input": "5 10\n6 0 3 8 1\n3 1 0 5 4 7 2 8 9 6",
"output": "6 0 3 8 1"
},
{
"input": "8 2\n7 2 9 6 1 0 3 4\n6 3",
"output": "6 3"
},
{
"input": "5 4\n7 0 1 4 9\n0 9 5 3",
"output": "0 9"
},
{
"input": "10 1\n9 6 2 0 1 8 3 4 7 5\n6",
"output": "6"
},
{
"input": "10 2\n7 1 0 2 4 6 5 9 3 8\n3 2",
"output": "2 3"
},
{
"input": "5 9\n3 7 9 2 4\n3 8 4 5 9 6 1 0 2",
"output": "3 9 2 4"
},
{
"input": "10 6\n7 1 2 3 8 0 6 4 5 9\n1 5 8 2 3 6",
"output": "1 2 3 8 6 5"
},
{
"input": "8 2\n7 4 8 9 2 5 6 1\n6 4",
"output": "4 6"
},
{
"input": "10 2\n1 0 3 5 8 9 4 7 6 2\n0 3",
"output": "0 3"
},
{
"input": "7 6\n9 2 8 6 1 3 7\n4 2 0 3 1 8",
"output": "2 8 1 3"
},
{
"input": "1 6\n3\n6 8 2 4 5 3",
"output": "3"
},
{
"input": "1 8\n0\n9 2 4 8 1 5 0 7",
"output": "0"
},
{
"input": "6 9\n7 3 9 4 1 0\n9 1 5 8 0 6 2 7 4",
"output": "7 9 4 1 0"
},
{
"input": "10 2\n4 9 6 8 3 0 1 5 7 2\n0 1",
"output": "0 1"
},
{
"input": "10 5\n5 2 8 0 9 7 6 1 4 3\n9 6 4 1 2",
"output": "2 9 6 1 4"
},
{
"input": "6 3\n8 3 9 2 7 6\n5 4 3",
"output": "3"
},
{
"input": "4 10\n8 3 9 6\n4 9 6 2 7 0 8 1 3 5",
"output": "8 3 9 6"
},
{
"input": "1 2\n1\n1 0",
"output": "1"
},
{
"input": "3 6\n1 2 3\n4 5 6 1 2 3",
"output": "1 2 3"
},
{
"input": "1 2\n2\n1 2",
"output": "2"
},
{
"input": "1 10\n9\n0 1 2 3 4 5 6 7 8 9",
"output": "9"
}
] | 1,593,437,267
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 31
| 155
| 20,172,800
|
n,m=input().split()
x=list(input().split())
y=list(input().split())
print(*filter(lambda x:x in y,x))
|
Title: Fingerprints
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are locked in a room with a door that has a keypad with 10 keys corresponding to digits from 0 to 9. To escape from the room, you need to enter a correct code. You also have a sequence of digits.
Some keys on the keypad have fingerprints. You believe the correct code is the longest not necessarily contiguous subsequence of the sequence you have that only contains digits with fingerprints on the corresponding keys. Find such code.
Input Specification:
The first line contains two integers $n$ and $m$ ($1 \le n, m \le 10$) representing the number of digits in the sequence you have and the number of keys on the keypad that have fingerprints.
The next line contains $n$ distinct space-separated integers $x_1, x_2, \ldots, x_n$ ($0 \le x_i \le 9$) representing the sequence.
The next line contains $m$ distinct space-separated integers $y_1, y_2, \ldots, y_m$ ($0 \le y_i \le 9$) — the keys with fingerprints.
Output Specification:
In a single line print a space-separated sequence of integers representing the code. If the resulting sequence is empty, both printing nothing and printing a single line break is acceptable.
Demo Input:
['7 3\n3 5 7 1 6 2 8\n1 2 7\n', '4 4\n3 4 1 0\n0 1 7 9\n']
Demo Output:
['7 1 2\n', '1 0\n']
Note:
In the first example, the only digits with fingerprints are $1$, $2$ and $7$. All three of them appear in the sequence you know, $7$ first, then $1$ and then $2$. Therefore the output is 7 1 2. Note that the order is important, and shall be the same as the order in the original sequence.
In the second example digits $0$, $1$, $7$ and $9$ have fingerprints, however only $0$ and $1$ appear in the original sequence. $1$ appears earlier, so the output is 1 0. Again, the order is important.
|
```python
n,m=input().split()
x=list(input().split())
y=list(input().split())
print(*filter(lambda x:x in y,x))
```
| 3
|
|
509
|
A
|
Maximum in Table
|
PROGRAMMING
| 800
|
[
"brute force",
"implementation"
] | null | null |
An *n*<=×<=*n* table *a* is defined as follows:
- The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the remaining elements are defined by the formula *a**i*,<=*j*<==<=*a**i*<=-<=1,<=*j*<=+<=*a**i*,<=*j*<=-<=1.
These conditions define all the values in the table.
You are given a number *n*. You need to determine the maximum value in the *n*<=×<=*n* table defined by the rules above.
|
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
|
Print a single line containing a positive integer *m* — the maximum value in the table.
|
[
"1\n",
"5\n"
] |
[
"1",
"70"
] |
In the second test the rows of the table look as follows:
| 0
|
[
{
"input": "1",
"output": "1"
},
{
"input": "5",
"output": "70"
},
{
"input": "2",
"output": "2"
},
{
"input": "3",
"output": "6"
},
{
"input": "4",
"output": "20"
},
{
"input": "6",
"output": "252"
},
{
"input": "7",
"output": "924"
},
{
"input": "9",
"output": "12870"
},
{
"input": "10",
"output": "48620"
},
{
"input": "8",
"output": "3432"
}
] | 1,624,020,562
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 10
| 77
| 0
|
n = int(input())
lst = [[1] * n for _ in range(n)]
for i in range (1, n):
for j in range(1, n):
lst[i][j] = lst[i-1][j] + lst[i][j-1]
print(lst[n-1][n-1])
|
Title: Maximum in Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
An *n*<=×<=*n* table *a* is defined as follows:
- The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the remaining elements are defined by the formula *a**i*,<=*j*<==<=*a**i*<=-<=1,<=*j*<=+<=*a**i*,<=*j*<=-<=1.
These conditions define all the values in the table.
You are given a number *n*. You need to determine the maximum value in the *n*<=×<=*n* table defined by the rules above.
Input Specification:
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
Output Specification:
Print a single line containing a positive integer *m* — the maximum value in the table.
Demo Input:
['1\n', '5\n']
Demo Output:
['1', '70']
Note:
In the second test the rows of the table look as follows:
|
```python
n = int(input())
lst = [[1] * n for _ in range(n)]
for i in range (1, n):
for j in range(1, n):
lst[i][j] = lst[i-1][j] + lst[i][j-1]
print(lst[n-1][n-1])
```
| 3
|
|
907
|
A
|
Masha and Bears
|
PROGRAMMING
| 1,300
|
[
"brute force",
"implementation"
] | null | null |
A family consisting of father bear, mother bear and son bear owns three cars. Father bear can climb into the largest car and he likes it. Also, mother bear can climb into the middle car and she likes it. Moreover, son bear can climb into the smallest car and he likes it. It's known that the largest car is strictly larger than the middle car, and the middle car is strictly larger than the smallest car.
Masha came to test these cars. She could climb into all cars, but she liked only the smallest car.
It's known that a character with size *a* can climb into some car with size *b* if and only if *a*<=≤<=*b*, he or she likes it if and only if he can climb into this car and 2*a*<=≥<=*b*.
You are given sizes of bears and Masha. Find out some possible integer non-negative sizes of cars.
|
You are given four integers *V*1, *V*2, *V*3, *V**m*(1<=≤<=*V**i*<=≤<=100) — sizes of father bear, mother bear, son bear and Masha, respectively. It's guaranteed that *V*1<=><=*V*2<=><=*V*3.
|
Output three integers — sizes of father bear's car, mother bear's car and son bear's car, respectively.
If there are multiple possible solutions, print any.
If there is no solution, print "-1" (without quotes).
|
[
"50 30 10 10\n",
"100 50 10 21\n"
] |
[
"50\n30\n10\n",
"-1\n"
] |
In first test case all conditions for cars' sizes are satisfied.
In second test case there is no answer, because Masha should be able to climb into smallest car (so size of smallest car in not less than 21), but son bear should like it, so maximum possible size of it is 20.
| 500
|
[
{
"input": "50 30 10 10",
"output": "50\n30\n10"
},
{
"input": "100 50 10 21",
"output": "-1"
},
{
"input": "100 50 19 10",
"output": "100\n50\n19"
},
{
"input": "99 50 25 49",
"output": "100\n99\n49"
},
{
"input": "3 2 1 1",
"output": "4\n3\n1"
},
{
"input": "100 99 98 100",
"output": "-1"
},
{
"input": "100 40 30 40",
"output": "-1"
},
{
"input": "100 50 19 25",
"output": "100\n51\n25"
},
{
"input": "100 50 19 30",
"output": "100\n61\n30"
},
{
"input": "49 48 25 49",
"output": "-1"
},
{
"input": "48 47 23 46",
"output": "94\n93\n46"
},
{
"input": "37 23 16 20",
"output": "42\n41\n20"
},
{
"input": "98 2 1 1",
"output": "98\n3\n1"
},
{
"input": "99 22 13 14",
"output": "99\n29\n14"
},
{
"input": "97 95 3 2",
"output": "97\n95\n3"
},
{
"input": "27 3 2 3",
"output": "-1"
},
{
"input": "13 7 6 2",
"output": "-1"
},
{
"input": "19 17 11 6",
"output": "19\n17\n11"
},
{
"input": "15 6 4 5",
"output": "15\n11\n5"
},
{
"input": "21 3 1 3",
"output": "-1"
},
{
"input": "100 99 98 97",
"output": "196\n195\n98"
},
{
"input": "99 32 13 5",
"output": "-1"
},
{
"input": "5 4 3 1",
"output": "-1"
},
{
"input": "50 20 4 8",
"output": "50\n20\n8"
},
{
"input": "60 30 10 1",
"output": "-1"
},
{
"input": "100 50 10 1",
"output": "-1"
},
{
"input": "40 30 20 10",
"output": "40\n30\n20"
},
{
"input": "50 49 5 10",
"output": "50\n49\n10"
},
{
"input": "99 98 50 97",
"output": "196\n195\n97"
},
{
"input": "50 30 10 5",
"output": "50\n30\n10"
},
{
"input": "4 3 2 1",
"output": "4\n3\n2"
},
{
"input": "100 50 3 1",
"output": "-1"
}
] | 1,514,044,040
| 6,140
|
Python 3
|
OK
|
TESTS
| 32
| 61
| 5,632,000
|
a=input().split()
for i in range(4):
a[i]=int(a[i])
if a[3]>=a[1] or a[2]*2<a[3] or a[3]*2<a[2]:
print(-1)
else:
print(a[0]*2)
print(a[1]*2)
if a[3]>=a[2]:
print(a[3])
else:
print(a[2])
|
Title: Masha and Bears
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A family consisting of father bear, mother bear and son bear owns three cars. Father bear can climb into the largest car and he likes it. Also, mother bear can climb into the middle car and she likes it. Moreover, son bear can climb into the smallest car and he likes it. It's known that the largest car is strictly larger than the middle car, and the middle car is strictly larger than the smallest car.
Masha came to test these cars. She could climb into all cars, but she liked only the smallest car.
It's known that a character with size *a* can climb into some car with size *b* if and only if *a*<=≤<=*b*, he or she likes it if and only if he can climb into this car and 2*a*<=≥<=*b*.
You are given sizes of bears and Masha. Find out some possible integer non-negative sizes of cars.
Input Specification:
You are given four integers *V*1, *V*2, *V*3, *V**m*(1<=≤<=*V**i*<=≤<=100) — sizes of father bear, mother bear, son bear and Masha, respectively. It's guaranteed that *V*1<=><=*V*2<=><=*V*3.
Output Specification:
Output three integers — sizes of father bear's car, mother bear's car and son bear's car, respectively.
If there are multiple possible solutions, print any.
If there is no solution, print "-1" (without quotes).
Demo Input:
['50 30 10 10\n', '100 50 10 21\n']
Demo Output:
['50\n30\n10\n', '-1\n']
Note:
In first test case all conditions for cars' sizes are satisfied.
In second test case there is no answer, because Masha should be able to climb into smallest car (so size of smallest car in not less than 21), but son bear should like it, so maximum possible size of it is 20.
|
```python
a=input().split()
for i in range(4):
a[i]=int(a[i])
if a[3]>=a[1] or a[2]*2<a[3] or a[3]*2<a[2]:
print(-1)
else:
print(a[0]*2)
print(a[1]*2)
if a[3]>=a[2]:
print(a[3])
else:
print(a[2])
```
| 3
|
|
472
|
A
|
Design Tutorial: Learn from Math
|
PROGRAMMING
| 800
|
[
"math",
"number theory"
] | null | null |
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". It says: "each even number no less than four can be expressed as the sum of two primes". Let's modify it. How about a statement like that: "each integer no less than 12 can be expressed as the sum of two composite numbers." Not like the Goldbach's conjecture, I can prove this theorem.
You are given an integer *n* no less than 12, express it as a sum of two composite numbers.
|
The only line contains an integer *n* (12<=≤<=*n*<=≤<=106).
|
Output two composite integers *x* and *y* (1<=<<=*x*,<=*y*<=<<=*n*) such that *x*<=+<=*y*<==<=*n*. If there are multiple solutions, you can output any of them.
|
[
"12\n",
"15\n",
"23\n",
"1000000\n"
] |
[
"4 8\n",
"6 9\n",
"8 15\n",
"500000 500000\n"
] |
In the first example, 12 = 4 + 8 and both 4, 8 are composite numbers. You can output "6 6" or "8 4" as well.
In the second example, 15 = 6 + 9. Note that you can't output "1 14" because 1 is not a composite number.
| 500
|
[
{
"input": "12",
"output": "4 8"
},
{
"input": "15",
"output": "6 9"
},
{
"input": "23",
"output": "8 15"
},
{
"input": "1000000",
"output": "500000 500000"
},
{
"input": "63874",
"output": "4 63870"
},
{
"input": "14568",
"output": "4 14564"
},
{
"input": "192",
"output": "4 188"
},
{
"input": "86",
"output": "4 82"
},
{
"input": "46220",
"output": "4 46216"
},
{
"input": "57114",
"output": "4 57110"
},
{
"input": "869",
"output": "4 865"
},
{
"input": "738457",
"output": "4 738453"
},
{
"input": "58113",
"output": "6 58107"
},
{
"input": "4864",
"output": "4 4860"
},
{
"input": "15",
"output": "6 9"
},
{
"input": "74752",
"output": "4 74748"
},
{
"input": "6073",
"output": "4 6069"
},
{
"input": "1289",
"output": "4 1285"
},
{
"input": "20",
"output": "4 16"
},
{
"input": "58134",
"output": "4 58130"
},
{
"input": "57756",
"output": "4 57752"
},
{
"input": "765",
"output": "6 759"
},
{
"input": "59",
"output": "4 55"
},
{
"input": "991666",
"output": "4 991662"
},
{
"input": "70761",
"output": "4 70757"
},
{
"input": "13",
"output": "4 9"
},
{
"input": "999999",
"output": "4 999995"
},
{
"input": "17",
"output": "8 9"
},
{
"input": "21",
"output": "6 15"
},
{
"input": "19",
"output": "4 15"
},
{
"input": "100007",
"output": "6 100001"
},
{
"input": "999987",
"output": "6 999981"
},
{
"input": "22",
"output": "4 18"
}
] | 1,682,350,176
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 33
| 46
| 0
|
n=int(input())
if n%2==0:
if n-8>=4:
print(8,n-8,sep=" ")
else:
if n-9>=4:
print(9,n-9,sep=" ")
|
Title: Design Tutorial: Learn from Math
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". It says: "each even number no less than four can be expressed as the sum of two primes". Let's modify it. How about a statement like that: "each integer no less than 12 can be expressed as the sum of two composite numbers." Not like the Goldbach's conjecture, I can prove this theorem.
You are given an integer *n* no less than 12, express it as a sum of two composite numbers.
Input Specification:
The only line contains an integer *n* (12<=≤<=*n*<=≤<=106).
Output Specification:
Output two composite integers *x* and *y* (1<=<<=*x*,<=*y*<=<<=*n*) such that *x*<=+<=*y*<==<=*n*. If there are multiple solutions, you can output any of them.
Demo Input:
['12\n', '15\n', '23\n', '1000000\n']
Demo Output:
['4 8\n', '6 9\n', '8 15\n', '500000 500000\n']
Note:
In the first example, 12 = 4 + 8 and both 4, 8 are composite numbers. You can output "6 6" or "8 4" as well.
In the second example, 15 = 6 + 9. Note that you can't output "1 14" because 1 is not a composite number.
|
```python
n=int(input())
if n%2==0:
if n-8>=4:
print(8,n-8,sep=" ")
else:
if n-9>=4:
print(9,n-9,sep=" ")
```
| 3
|
|
13
|
A
|
Numbers
|
PROGRAMMING
| 1,000
|
[
"implementation",
"math"
] |
A. Numbers
|
1
|
64
|
Little Petya likes numbers a lot. He found that number 123 in base 16 consists of two digits: the first is 7 and the second is 11. So the sum of digits of 123 in base 16 is equal to 18.
Now he wonders what is an average value of sum of digits of the number *A* written in all bases from 2 to *A*<=-<=1.
Note that all computations should be done in base 10. You should find the result as an irreducible fraction, written in base 10.
|
Input contains one integer number *A* (3<=≤<=*A*<=≤<=1000).
|
Output should contain required average value in format «X/Y», where X is the numerator and Y is the denominator.
|
[
"5\n",
"3\n"
] |
[
"7/3\n",
"2/1\n"
] |
In the first sample number 5 written in all bases from 2 to 4 looks so: 101, 12, 11. Sums of digits are 2, 3 and 2, respectively.
| 0
|
[
{
"input": "5",
"output": "7/3"
},
{
"input": "3",
"output": "2/1"
},
{
"input": "1000",
"output": "90132/499"
},
{
"input": "927",
"output": "155449/925"
},
{
"input": "260",
"output": "6265/129"
},
{
"input": "131",
"output": "3370/129"
},
{
"input": "386",
"output": "857/12"
},
{
"input": "277",
"output": "2864/55"
},
{
"input": "766",
"output": "53217/382"
},
{
"input": "28",
"output": "85/13"
},
{
"input": "406",
"output": "7560/101"
},
{
"input": "757",
"output": "103847/755"
},
{
"input": "6",
"output": "9/4"
},
{
"input": "239",
"output": "10885/237"
},
{
"input": "322",
"output": "2399/40"
},
{
"input": "98",
"output": "317/16"
},
{
"input": "208",
"output": "4063/103"
},
{
"input": "786",
"output": "55777/392"
},
{
"input": "879",
"output": "140290/877"
},
{
"input": "702",
"output": "89217/700"
},
{
"input": "948",
"output": "7369/43"
},
{
"input": "537",
"output": "52753/535"
},
{
"input": "984",
"output": "174589/982"
},
{
"input": "934",
"output": "157951/932"
},
{
"input": "726",
"output": "95491/724"
},
{
"input": "127",
"output": "3154/125"
},
{
"input": "504",
"output": "23086/251"
},
{
"input": "125",
"output": "3080/123"
},
{
"input": "604",
"output": "33178/301"
},
{
"input": "115",
"output": "2600/113"
},
{
"input": "27",
"output": "167/25"
},
{
"input": "687",
"output": "85854/685"
},
{
"input": "880",
"output": "69915/439"
},
{
"input": "173",
"output": "640/19"
},
{
"input": "264",
"output": "6438/131"
},
{
"input": "785",
"output": "111560/783"
},
{
"input": "399",
"output": "29399/397"
},
{
"input": "514",
"output": "6031/64"
},
{
"input": "381",
"output": "26717/379"
},
{
"input": "592",
"output": "63769/590"
},
{
"input": "417",
"output": "32002/415"
},
{
"input": "588",
"output": "62723/586"
},
{
"input": "852",
"output": "131069/850"
},
{
"input": "959",
"output": "5059/29"
},
{
"input": "841",
"output": "127737/839"
},
{
"input": "733",
"output": "97598/731"
},
{
"input": "692",
"output": "87017/690"
},
{
"input": "69",
"output": "983/67"
},
{
"input": "223",
"output": "556/13"
},
{
"input": "93",
"output": "246/13"
},
{
"input": "643",
"output": "75503/641"
},
{
"input": "119",
"output": "2833/117"
},
{
"input": "498",
"output": "1459/16"
},
{
"input": "155",
"output": "4637/153"
},
{
"input": "305",
"output": "17350/303"
},
{
"input": "454",
"output": "37893/452"
},
{
"input": "88",
"output": "1529/86"
},
{
"input": "850",
"output": "32645/212"
},
{
"input": "474",
"output": "20581/236"
},
{
"input": "309",
"output": "17731/307"
},
{
"input": "762",
"output": "105083/760"
},
{
"input": "591",
"output": "63761/589"
},
{
"input": "457",
"output": "38317/455"
},
{
"input": "141",
"output": "3832/139"
},
{
"input": "385",
"output": "27232/383"
},
{
"input": "387",
"output": "27628/385"
},
{
"input": "469",
"output": "40306/467"
},
{
"input": "624",
"output": "35285/311"
},
{
"input": "330",
"output": "487/8"
},
{
"input": "31",
"output": "222/29"
},
{
"input": "975",
"output": "171679/973"
},
{
"input": "584",
"output": "62183/582"
},
{
"input": "668",
"output": "81127/666"
},
{
"input": "331",
"output": "20297/329"
},
{
"input": "189",
"output": "6789/187"
},
{
"input": "251",
"output": "11939/249"
},
{
"input": "876",
"output": "69196/437"
},
{
"input": "615",
"output": "68987/613"
},
{
"input": "451",
"output": "37258/449"
},
{
"input": "499",
"output": "45727/497"
},
{
"input": "699",
"output": "89117/697"
},
{
"input": "619",
"output": "70019/617"
},
{
"input": "413",
"output": "10515/137"
},
{
"input": "197",
"output": "7399/195"
},
{
"input": "794",
"output": "14281/99"
},
{
"input": "659",
"output": "79403/657"
},
{
"input": "653",
"output": "77695/651"
},
{
"input": "23",
"output": "45/7"
},
{
"input": "430",
"output": "16985/214"
},
{
"input": "249",
"output": "11659/247"
},
{
"input": "837",
"output": "126869/835"
},
{
"input": "258",
"output": "12373/256"
},
{
"input": "995",
"output": "59665/331"
},
{
"input": "102",
"output": "504/25"
},
{
"input": "989",
"output": "177124/987"
},
{
"input": "376",
"output": "13008/187"
},
{
"input": "657",
"output": "15715/131"
},
{
"input": "746",
"output": "50509/372"
},
{
"input": "602",
"output": "13177/120"
}
] | 1,693,850,860
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 99
| 92
| 0
|
import math
from math import log
from math import floor
n = int(input())
ans = 0
for i in range(2,n):
cnt = n
while cnt>0:
ans+=(cnt%i)
cnt//=i
# res = floor(log(n)/log(i))+1
# ans.append(res)
# print(ans)
res = ans
res1 = n-2
while res1>0:
p = res1
res1=res%res1
res=p
print(str(ans//res)+'/'+str((n-2)//res))
# if len(ans)==1:
# print(f'{sum(ans)}/1')
# else:
# print(f'{sum(ans)}/{max(ans)}')
|
Title: Numbers
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
Little Petya likes numbers a lot. He found that number 123 in base 16 consists of two digits: the first is 7 and the second is 11. So the sum of digits of 123 in base 16 is equal to 18.
Now he wonders what is an average value of sum of digits of the number *A* written in all bases from 2 to *A*<=-<=1.
Note that all computations should be done in base 10. You should find the result as an irreducible fraction, written in base 10.
Input Specification:
Input contains one integer number *A* (3<=≤<=*A*<=≤<=1000).
Output Specification:
Output should contain required average value in format «X/Y», where X is the numerator and Y is the denominator.
Demo Input:
['5\n', '3\n']
Demo Output:
['7/3\n', '2/1\n']
Note:
In the first sample number 5 written in all bases from 2 to 4 looks so: 101, 12, 11. Sums of digits are 2, 3 and 2, respectively.
|
```python
import math
from math import log
from math import floor
n = int(input())
ans = 0
for i in range(2,n):
cnt = n
while cnt>0:
ans+=(cnt%i)
cnt//=i
# res = floor(log(n)/log(i))+1
# ans.append(res)
# print(ans)
res = ans
res1 = n-2
while res1>0:
p = res1
res1=res%res1
res=p
print(str(ans//res)+'/'+str((n-2)//res))
# if len(ans)==1:
# print(f'{sum(ans)}/1')
# else:
# print(f'{sum(ans)}/{max(ans)}')
```
| 3.954
|
572
|
A
|
Arrays
|
PROGRAMMING
| 900
|
[
"sortings"
] | null | null |
You are given two arrays *A* and *B* consisting of integers, sorted in non-decreasing order. Check whether it is possible to choose *k* numbers in array *A* and choose *m* numbers in array *B* so that any number chosen in the first array is strictly less than any number chosen in the second array.
|
The first line contains two integers *n**A*,<=*n**B* (1<=≤<=*n**A*,<=*n**B*<=≤<=105), separated by a space — the sizes of arrays *A* and *B*, correspondingly.
The second line contains two integers *k* and *m* (1<=≤<=*k*<=≤<=*n**A*,<=1<=≤<=*m*<=≤<=*n**B*), separated by a space.
The third line contains *n**A* numbers *a*1,<=*a*2,<=... *a**n**A* (<=-<=109<=≤<=*a*1<=≤<=*a*2<=≤<=...<=≤<=*a**n**A*<=≤<=109), separated by spaces — elements of array *A*.
The fourth line contains *n**B* integers *b*1,<=*b*2,<=... *b**n**B* (<=-<=109<=≤<=*b*1<=≤<=*b*2<=≤<=...<=≤<=*b**n**B*<=≤<=109), separated by spaces — elements of array *B*.
|
Print "YES" (without the quotes), if you can choose *k* numbers in array *A* and *m* numbers in array *B* so that any number chosen in array *A* was strictly less than any number chosen in array *B*. Otherwise, print "NO" (without the quotes).
|
[
"3 3\n2 1\n1 2 3\n3 4 5\n",
"3 3\n3 3\n1 2 3\n3 4 5\n",
"5 2\n3 1\n1 1 1 1 1\n2 2\n"
] |
[
"YES\n",
"NO\n",
"YES\n"
] |
In the first sample test you can, for example, choose numbers 1 and 2 from array *A* and number 3 from array *B* (1 < 3 and 2 < 3).
In the second sample test the only way to choose *k* elements in the first array and *m* elements in the second one is to choose all numbers in both arrays, but then not all the numbers chosen in *A* will be less than all the numbers chosen in *B*: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7280148ed5eab0a7d418d4f92b32061243a8ca58.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
| 500
|
[
{
"input": "3 3\n2 1\n1 2 3\n3 4 5",
"output": "YES"
},
{
"input": "3 3\n3 3\n1 2 3\n3 4 5",
"output": "NO"
},
{
"input": "5 2\n3 1\n1 1 1 1 1\n2 2",
"output": "YES"
},
{
"input": "3 5\n1 1\n5 5 5\n5 5 5 5 5",
"output": "NO"
},
{
"input": "1 1\n1 1\n1\n1",
"output": "NO"
},
{
"input": "3 3\n1 1\n1 2 3\n1 2 3",
"output": "YES"
},
{
"input": "3 3\n1 2\n1 2 3\n1 2 3",
"output": "YES"
},
{
"input": "3 3\n2 2\n1 2 3\n1 2 3",
"output": "NO"
},
{
"input": "10 15\n10 1\n1 1 5 17 22 29 32 36 39 48\n9 10 20 23 26 26 32 32 33 39 43 45 47 49 49",
"output": "YES"
},
{
"input": "10 15\n1 15\n91 91 91 92 92 94 94 95 98 100\n92 92 93 93 93 94 95 96 97 98 98 99 99 100 100",
"output": "YES"
},
{
"input": "15 10\n12 5\n9 25 25 32 32 38 40 41 46 46 48 51 64 64 73\n5 14 30 35 50 52 67 79 89 99",
"output": "YES"
},
{
"input": "15 10\n4 10\n22 32 35 45 45 50 51 55 79 80 83 88 90 92 93\n46 48 52 55 60 60 68 75 80 81",
"output": "YES"
},
{
"input": "20 30\n2 8\n6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10\n1 1 2 2 2 2 2 2 2 3 3 4 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 9 10 10",
"output": "NO"
},
{
"input": "20 30\n19 29\n1 1 2 2 2 3 4 4 7 7 7 8 8 8 8 8 9 9 9 9\n6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10",
"output": "NO"
},
{
"input": "1 1\n1 1\n-1000000000\n30",
"output": "YES"
},
{
"input": "3 3\n1 3\n1 3 3\n3 3 3",
"output": "YES"
},
{
"input": "3 3\n1 1\n3 3 3\n2 2 2",
"output": "NO"
},
{
"input": "5 5\n3 3\n1 5 6 7 8\n1 2 5 6 7",
"output": "NO"
},
{
"input": "3 4\n2 2\n5 6 7\n1 2 3 4",
"output": "NO"
},
{
"input": "3 3\n3 3\n1 2 3\n4 5 6",
"output": "YES"
},
{
"input": "5 5\n4 5\n2 2 3 4 5\n5 6 7 8 9",
"output": "YES"
}
] | 1,652,615,819
| 2,147,483,647
|
PyPy 3
|
OK
|
TESTS
| 52
| 280
| 32,665,600
|
z=lambda :tuple(map(int,input().split()));s,s1=z();a,b=z();print("YES" if z()[a-1]<z()[-b] else "NO")
|
Title: Arrays
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given two arrays *A* and *B* consisting of integers, sorted in non-decreasing order. Check whether it is possible to choose *k* numbers in array *A* and choose *m* numbers in array *B* so that any number chosen in the first array is strictly less than any number chosen in the second array.
Input Specification:
The first line contains two integers *n**A*,<=*n**B* (1<=≤<=*n**A*,<=*n**B*<=≤<=105), separated by a space — the sizes of arrays *A* and *B*, correspondingly.
The second line contains two integers *k* and *m* (1<=≤<=*k*<=≤<=*n**A*,<=1<=≤<=*m*<=≤<=*n**B*), separated by a space.
The third line contains *n**A* numbers *a*1,<=*a*2,<=... *a**n**A* (<=-<=109<=≤<=*a*1<=≤<=*a*2<=≤<=...<=≤<=*a**n**A*<=≤<=109), separated by spaces — elements of array *A*.
The fourth line contains *n**B* integers *b*1,<=*b*2,<=... *b**n**B* (<=-<=109<=≤<=*b*1<=≤<=*b*2<=≤<=...<=≤<=*b**n**B*<=≤<=109), separated by spaces — elements of array *B*.
Output Specification:
Print "YES" (without the quotes), if you can choose *k* numbers in array *A* and *m* numbers in array *B* so that any number chosen in array *A* was strictly less than any number chosen in array *B*. Otherwise, print "NO" (without the quotes).
Demo Input:
['3 3\n2 1\n1 2 3\n3 4 5\n', '3 3\n3 3\n1 2 3\n3 4 5\n', '5 2\n3 1\n1 1 1 1 1\n2 2\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n']
Note:
In the first sample test you can, for example, choose numbers 1 and 2 from array *A* and number 3 from array *B* (1 < 3 and 2 < 3).
In the second sample test the only way to choose *k* elements in the first array and *m* elements in the second one is to choose all numbers in both arrays, but then not all the numbers chosen in *A* will be less than all the numbers chosen in *B*: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7280148ed5eab0a7d418d4f92b32061243a8ca58.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
|
```python
z=lambda :tuple(map(int,input().split()));s,s1=z();a,b=z();print("YES" if z()[a-1]<z()[-b] else "NO")
```
| 3
|
|
119
|
A
|
Epic Game
|
PROGRAMMING
| 800
|
[
"implementation"
] | null | null |
Simon and Antisimon play a game. Initially each player receives one fixed positive integer that doesn't change throughout the game. Simon receives number *a* and Antisimon receives number *b*. They also have a heap of *n* stones. The players take turns to make a move and Simon starts. During a move a player should take from the heap the number of stones equal to the greatest common divisor of the fixed number he has received and the number of stones left in the heap. A player loses when he cannot take the required number of stones (i. e. the heap has strictly less stones left than one needs to take).
Your task is to determine by the given *a*, *b* and *n* who wins the game.
|
The only string contains space-separated integers *a*, *b* and *n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=100) — the fixed numbers Simon and Antisimon have received correspondingly and the initial number of stones in the pile.
|
If Simon wins, print "0" (without the quotes), otherwise print "1" (without the quotes).
|
[
"3 5 9\n",
"1 1 100\n"
] |
[
"0",
"1"
] |
The greatest common divisor of two non-negative integers *a* and *b* is such maximum positive integer *k*, that *a* is divisible by *k* without remainder and similarly, *b* is divisible by *k* without remainder. Let *gcd*(*a*, *b*) represent the operation of calculating the greatest common divisor of numbers *a* and *b*. Specifically, *gcd*(*x*, 0) = *gcd*(0, *x*) = *x*.
In the first sample the game will go like that:
- Simon should take *gcd*(3, 9) = 3 stones from the heap. After his move the heap has 6 stones left.- Antisimon should take *gcd*(5, 6) = 1 stone from the heap. After his move the heap has 5 stones left.- Simon should take *gcd*(3, 5) = 1 stone from the heap. After his move the heap has 4 stones left.- Antisimon should take *gcd*(5, 4) = 1 stone from the heap. After his move the heap has 3 stones left.- Simon should take *gcd*(3, 3) = 3 stones from the heap. After his move the heap has 0 stones left.- Antisimon should take *gcd*(5, 0) = 5 stones from the heap. As 0 < 5, it is impossible and Antisimon loses.
In the second sample each player during each move takes one stone from the heap. As *n* is even, Antisimon takes the last stone and Simon can't make a move after that.
| 500
|
[
{
"input": "3 5 9",
"output": "0"
},
{
"input": "1 1 100",
"output": "1"
},
{
"input": "23 12 16",
"output": "1"
},
{
"input": "95 26 29",
"output": "1"
},
{
"input": "73 32 99",
"output": "1"
},
{
"input": "1 1 1",
"output": "0"
},
{
"input": "41 12 65",
"output": "1"
},
{
"input": "13 61 100",
"output": "1"
},
{
"input": "100 100 10",
"output": "0"
},
{
"input": "12 24 26",
"output": "1"
},
{
"input": "73 21 96",
"output": "1"
},
{
"input": "17 22 81",
"output": "1"
},
{
"input": "14 88 97",
"output": "1"
},
{
"input": "42 81 17",
"output": "0"
},
{
"input": "34 36 19",
"output": "1"
},
{
"input": "21 87 12",
"output": "1"
},
{
"input": "97 92 98",
"output": "1"
},
{
"input": "49 25 62",
"output": "1"
},
{
"input": "29 17 44",
"output": "1"
},
{
"input": "10 1 10",
"output": "0"
},
{
"input": "99 98 100",
"output": "1"
},
{
"input": "100 100 1",
"output": "0"
},
{
"input": "11 99 55",
"output": "0"
},
{
"input": "8 13 21",
"output": "0"
},
{
"input": "34 55 89",
"output": "0"
},
{
"input": "21 34 55",
"output": "1"
},
{
"input": "13 21 34",
"output": "1"
},
{
"input": "34 21 55",
"output": "0"
},
{
"input": "10 20 84",
"output": "1"
},
{
"input": "4 2 5",
"output": "0"
},
{
"input": "3 2 3",
"output": "0"
},
{
"input": "31 23 1",
"output": "0"
},
{
"input": "100 100 100",
"output": "0"
},
{
"input": "100 1 100",
"output": "0"
},
{
"input": "1 100 100",
"output": "1"
},
{
"input": "1 1 100",
"output": "1"
},
{
"input": "17 23 100",
"output": "1"
},
{
"input": "99 98 100",
"output": "1"
},
{
"input": "1 1 2",
"output": "1"
},
{
"input": "2 1 1",
"output": "0"
},
{
"input": "1 2 1",
"output": "0"
},
{
"input": "2 1 2",
"output": "0"
},
{
"input": "10 10 3",
"output": "1"
},
{
"input": "2 2 1",
"output": "0"
},
{
"input": "9 5 1",
"output": "0"
}
] | 1,672,825,751
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 45
| 92
| 0
|
import math
t = input().split(" ")
a, b, n, c = int(t[0]), int(t[1]), int(t[2]), 0
while n >= 0:
n -= math.gcd(int(t[c % 2]), n)
c = 1-c
if c == 0:print(0)
else:print(1)
|
Title: Epic Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Simon and Antisimon play a game. Initially each player receives one fixed positive integer that doesn't change throughout the game. Simon receives number *a* and Antisimon receives number *b*. They also have a heap of *n* stones. The players take turns to make a move and Simon starts. During a move a player should take from the heap the number of stones equal to the greatest common divisor of the fixed number he has received and the number of stones left in the heap. A player loses when he cannot take the required number of stones (i. e. the heap has strictly less stones left than one needs to take).
Your task is to determine by the given *a*, *b* and *n* who wins the game.
Input Specification:
The only string contains space-separated integers *a*, *b* and *n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=100) — the fixed numbers Simon and Antisimon have received correspondingly and the initial number of stones in the pile.
Output Specification:
If Simon wins, print "0" (without the quotes), otherwise print "1" (without the quotes).
Demo Input:
['3 5 9\n', '1 1 100\n']
Demo Output:
['0', '1']
Note:
The greatest common divisor of two non-negative integers *a* and *b* is such maximum positive integer *k*, that *a* is divisible by *k* without remainder and similarly, *b* is divisible by *k* without remainder. Let *gcd*(*a*, *b*) represent the operation of calculating the greatest common divisor of numbers *a* and *b*. Specifically, *gcd*(*x*, 0) = *gcd*(0, *x*) = *x*.
In the first sample the game will go like that:
- Simon should take *gcd*(3, 9) = 3 stones from the heap. After his move the heap has 6 stones left.- Antisimon should take *gcd*(5, 6) = 1 stone from the heap. After his move the heap has 5 stones left.- Simon should take *gcd*(3, 5) = 1 stone from the heap. After his move the heap has 4 stones left.- Antisimon should take *gcd*(5, 4) = 1 stone from the heap. After his move the heap has 3 stones left.- Simon should take *gcd*(3, 3) = 3 stones from the heap. After his move the heap has 0 stones left.- Antisimon should take *gcd*(5, 0) = 5 stones from the heap. As 0 < 5, it is impossible and Antisimon loses.
In the second sample each player during each move takes one stone from the heap. As *n* is even, Antisimon takes the last stone and Simon can't make a move after that.
|
```python
import math
t = input().split(" ")
a, b, n, c = int(t[0]), int(t[1]), int(t[2]), 0
while n >= 0:
n -= math.gcd(int(t[c % 2]), n)
c = 1-c
if c == 0:print(0)
else:print(1)
```
| 3
|
|
272
|
A
|
Dima and Friends
|
PROGRAMMING
| 1,000
|
[
"implementation",
"math"
] | null | null |
Dima and his friends have been playing hide and seek at Dima's place all night. As a result, Dima's place got messy. In the morning they decided that they need to clean the place.
To decide who exactly would clean the apartment, the friends want to play a counting-out game. First, all the guys stand in a circle, and then each of them shows some number of fingers on one hand (one to five), and then the boys count in a circle, starting from Dima, the number of people, respective to the total number of fingers shown. The person on who the countdown stops will clean the apartment.
For example, if Dima and one of his friends played hide and seek, and 7 fingers were shown during the counting-out, then Dima would clean the place. If there were 2 or say, 8 fingers shown, then his friend would clean the place.
Dima knows how many fingers each of his friends will show during the counting-out. Now he is interested in the number of ways to show some number of fingers on one hand (one to five), so that he did not have to clean the place. Help Dima.
|
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of Dima's friends. Dima himself isn't considered to be his own friend. The second line contains *n* positive integers, not exceeding 5, representing, how many fingers the Dima's friends will show.
The numbers in the lines are separated by a single space.
|
In a single line print the answer to the problem.
|
[
"1\n1\n",
"1\n2\n",
"2\n3 5\n"
] |
[
"3\n",
"2\n",
"3\n"
] |
In the first sample Dima can show 1, 3 or 5 fingers. If Dima shows 3 fingers, then the counting-out will go like that: Dima, his friend, Dima, his friend.
In the second sample Dima can show 2 or 4 fingers.
| 500
|
[
{
"input": "1\n1",
"output": "3"
},
{
"input": "1\n2",
"output": "2"
},
{
"input": "2\n3 5",
"output": "3"
},
{
"input": "2\n3 5",
"output": "3"
},
{
"input": "1\n5",
"output": "3"
},
{
"input": "5\n4 4 3 5 1",
"output": "4"
},
{
"input": "6\n2 3 2 2 1 3",
"output": "4"
},
{
"input": "8\n2 2 5 3 4 3 3 2",
"output": "4"
},
{
"input": "7\n4 1 3 2 2 4 5",
"output": "4"
},
{
"input": "3\n3 5 1",
"output": "4"
},
{
"input": "95\n4 2 3 4 4 5 2 2 4 4 3 5 3 3 3 5 4 2 5 4 2 1 1 3 4 2 1 3 5 4 2 1 1 5 1 1 2 2 4 4 5 4 5 5 2 1 2 2 2 4 5 5 2 4 3 4 4 3 5 2 4 1 5 4 5 1 3 2 4 2 2 1 5 3 1 5 3 4 3 3 2 1 2 2 1 3 1 5 2 3 1 1 2 5 2",
"output": "5"
},
{
"input": "31\n3 2 3 3 3 3 4 4 1 5 5 4 2 4 3 2 2 1 4 4 1 2 3 1 1 5 5 3 4 4 1",
"output": "4"
},
{
"input": "42\n3 1 2 2 5 1 2 2 4 5 4 5 2 5 4 5 4 4 1 4 3 3 4 4 4 4 3 2 1 3 4 5 5 2 1 2 1 5 5 2 4 4",
"output": "5"
},
{
"input": "25\n4 5 5 5 3 1 1 4 4 4 3 5 4 4 1 4 4 1 2 4 2 5 4 5 3",
"output": "5"
},
{
"input": "73\n3 4 3 4 5 1 3 4 2 1 4 2 2 3 5 3 1 4 2 3 2 1 4 5 3 5 2 2 4 3 2 2 5 3 2 3 5 1 3 1 1 4 5 2 4 2 5 1 4 3 1 3 1 4 2 3 3 3 3 5 5 2 5 2 5 4 3 1 1 5 5 2 3",
"output": "4"
},
{
"input": "46\n1 4 4 5 4 5 2 3 5 5 3 2 5 4 1 3 2 2 1 4 3 1 5 5 2 2 2 2 4 4 1 1 4 3 4 3 1 4 2 2 4 2 3 2 5 2",
"output": "4"
},
{
"input": "23\n5 2 1 1 4 2 5 5 3 5 4 5 5 1 1 5 2 4 5 3 4 4 3",
"output": "5"
},
{
"input": "6\n4 2 3 1 3 5",
"output": "4"
},
{
"input": "15\n5 5 5 3 5 4 1 3 3 4 3 4 1 4 4",
"output": "5"
},
{
"input": "93\n1 3 1 4 3 3 5 3 1 4 5 4 3 2 2 4 3 1 4 1 2 3 3 3 2 5 1 3 1 4 5 1 1 1 4 2 1 2 3 1 1 1 5 1 5 5 1 2 5 4 3 2 2 4 4 2 5 4 5 5 3 1 3 1 2 1 3 1 1 2 3 4 4 5 5 3 2 1 3 3 5 1 3 5 4 4 1 3 3 4 2 3 2",
"output": "5"
},
{
"input": "96\n1 5 1 3 2 1 2 2 2 2 3 4 1 1 5 4 4 1 2 3 5 1 4 4 4 1 3 3 1 4 5 4 1 3 5 3 4 4 3 2 1 1 4 4 5 1 1 2 5 1 2 3 1 4 1 2 2 2 3 2 3 3 2 5 2 2 3 3 3 3 2 1 2 4 5 5 1 5 3 2 1 4 3 5 5 5 3 3 5 3 4 3 4 2 1 3",
"output": "5"
},
{
"input": "49\n1 4 4 3 5 2 2 1 5 1 2 1 2 5 1 4 1 4 5 2 4 5 3 5 2 4 2 1 3 4 2 1 4 2 1 1 3 3 2 3 5 4 3 4 2 4 1 4 1",
"output": "5"
},
{
"input": "73\n4 1 3 3 3 1 5 2 1 4 1 1 3 5 1 1 4 5 2 1 5 4 1 5 3 1 5 2 4 5 1 4 3 3 5 2 2 3 3 2 5 1 4 5 2 3 1 4 4 3 5 2 3 5 1 4 3 5 1 2 4 1 3 3 5 4 2 4 2 4 1 2 5",
"output": "5"
},
{
"input": "41\n5 3 5 4 2 5 4 3 1 1 1 5 4 3 4 3 5 4 2 5 4 1 1 3 2 4 5 3 5 1 5 5 1 1 1 4 4 1 2 4 3",
"output": "5"
},
{
"input": "100\n3 3 1 4 2 4 4 3 1 5 1 1 4 4 3 4 4 3 5 4 5 2 4 3 4 1 2 4 5 4 2 1 5 4 1 1 4 3 2 4 1 2 1 4 4 5 5 4 4 5 3 2 5 1 4 2 2 1 1 2 5 2 5 1 5 3 1 4 3 2 4 3 2 2 4 5 5 1 2 3 1 4 1 2 2 2 5 5 2 3 2 4 3 1 1 2 1 2 1 2",
"output": "5"
},
{
"input": "100\n2 1 1 3 5 4 4 2 3 4 3 4 5 4 5 4 2 4 5 3 4 5 4 1 1 4 4 1 1 2 5 4 2 4 5 3 2 5 4 3 4 5 1 3 4 2 5 4 5 4 5 2 4 1 2 5 3 1 4 4 5 3 4 3 1 2 5 4 2 5 4 1 5 3 5 4 1 2 5 3 1 1 1 1 5 3 4 3 5 1 1 5 5 1 1 2 2 1 5 1",
"output": "5"
},
{
"input": "100\n4 4 3 3 2 5 4 4 2 1 4 4 4 5 4 1 2 1 5 2 4 3 4 1 4 1 2 5 1 4 5 4 2 1 2 5 3 4 5 5 2 1 2 2 2 2 2 3 2 5 1 2 2 3 2 5 5 1 3 4 5 2 1 3 4 2 2 4 4 3 3 3 2 3 2 1 5 5 5 2 1 4 2 3 5 1 4 4 2 3 2 5 5 4 3 5 1 3 5 5",
"output": "5"
},
{
"input": "100\n4 4 2 5 4 2 2 3 4 4 3 2 3 3 1 3 4 3 3 4 1 3 1 4 5 3 4 3 1 1 1 3 3 2 3 4 3 4 2 2 1 5 1 4 5 1 1 1 3 3 1 1 3 2 5 4 2 5 2 4 5 4 4 1 1 2 1 1 4 5 1 1 5 3 3 2 5 5 5 1 4 1 4 1 1 3 2 3 4 4 2 5 5 2 5 1 1 3 5 3",
"output": "5"
},
{
"input": "100\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4",
"output": "4"
},
{
"input": "100\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5",
"output": "5"
}
] | 1,687,932,770
| 2,147,483,647
|
PyPy 3-64
|
OK
|
TESTS
| 30
| 122
| 0
|
n=int(input(''))
f=input('')
b=f.split(' ')
c=0
w=0
for i in b:
c+=int(i)
for j in range(1,6):
if (c+j)%(n+1)!=1:
w+=1
else:
continue
print(w)
|
Title: Dima and Friends
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Dima and his friends have been playing hide and seek at Dima's place all night. As a result, Dima's place got messy. In the morning they decided that they need to clean the place.
To decide who exactly would clean the apartment, the friends want to play a counting-out game. First, all the guys stand in a circle, and then each of them shows some number of fingers on one hand (one to five), and then the boys count in a circle, starting from Dima, the number of people, respective to the total number of fingers shown. The person on who the countdown stops will clean the apartment.
For example, if Dima and one of his friends played hide and seek, and 7 fingers were shown during the counting-out, then Dima would clean the place. If there were 2 or say, 8 fingers shown, then his friend would clean the place.
Dima knows how many fingers each of his friends will show during the counting-out. Now he is interested in the number of ways to show some number of fingers on one hand (one to five), so that he did not have to clean the place. Help Dima.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of Dima's friends. Dima himself isn't considered to be his own friend. The second line contains *n* positive integers, not exceeding 5, representing, how many fingers the Dima's friends will show.
The numbers in the lines are separated by a single space.
Output Specification:
In a single line print the answer to the problem.
Demo Input:
['1\n1\n', '1\n2\n', '2\n3 5\n']
Demo Output:
['3\n', '2\n', '3\n']
Note:
In the first sample Dima can show 1, 3 or 5 fingers. If Dima shows 3 fingers, then the counting-out will go like that: Dima, his friend, Dima, his friend.
In the second sample Dima can show 2 or 4 fingers.
|
```python
n=int(input(''))
f=input('')
b=f.split(' ')
c=0
w=0
for i in b:
c+=int(i)
for j in range(1,6):
if (c+j)%(n+1)!=1:
w+=1
else:
continue
print(w)
```
| 3
|
|
289
|
A
|
Polo the Penguin and Segments
|
PROGRAMMING
| 1,100
|
[
"brute force",
"implementation"
] | null | null |
Little penguin Polo adores integer segments, that is, pairs of integers [*l*; *r*] (*l*<=≤<=*r*).
He has a set that consists of *n* integer segments: [*l*1; *r*1],<=[*l*2; *r*2],<=...,<=[*l**n*; *r**n*]. We know that no two segments of this set intersect. In one move Polo can either widen any segment of the set 1 unit to the left or 1 unit to the right, that is transform [*l*; *r*] to either segment [*l*<=-<=1; *r*], or to segment [*l*; *r*<=+<=1].
The value of a set of segments that consists of *n* segments [*l*1; *r*1],<=[*l*2; *r*2],<=...,<=[*l**n*; *r**n*] is the number of integers *x*, such that there is integer *j*, for which the following inequality holds, *l**j*<=≤<=*x*<=≤<=*r**j*.
Find the minimum number of moves needed to make the value of the set of Polo's segments divisible by *k*.
|
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=105). Each of the following *n* lines contain a segment as a pair of integers *l**i* and *r**i* (<=-<=105<=≤<=*l**i*<=≤<=*r**i*<=≤<=105), separated by a space.
It is guaranteed that no two segments intersect. In other words, for any two integers *i*,<=*j* (1<=≤<=*i*<=<<=*j*<=≤<=*n*) the following inequality holds, *min*(*r**i*,<=*r**j*)<=<<=*max*(*l**i*,<=*l**j*).
|
In a single line print a single integer — the answer to the problem.
|
[
"2 3\n1 2\n3 4\n",
"3 7\n1 2\n3 3\n4 7\n"
] |
[
"2\n",
"0\n"
] |
none
| 500
|
[
{
"input": "2 3\n1 2\n3 4",
"output": "2"
},
{
"input": "3 7\n1 2\n3 3\n4 7",
"output": "0"
},
{
"input": "3 7\n1 10\n11 47\n74 128",
"output": "3"
},
{
"input": "5 4\n1 1\n2 2\n3 3\n4 4\n5 5",
"output": "3"
},
{
"input": "7 4\n2 2\n-1 -1\n0 1\n7 8\n-3 -2\n9 9\n4 6",
"output": "0"
},
{
"input": "10 2\n92 92\n55 59\n70 73\n78 81\n62 65\n95 99\n74 75\n85 87\n51 51\n60 60",
"output": "0"
},
{
"input": "10 474\n56 60\n82 82\n73 73\n105 109\n77 80\n51 51\n85 88\n97 100\n91 92\n64 68",
"output": "442"
},
{
"input": "47 21\n3 5\n-422 -417\n60 60\n-348 -348\n-3 -3\n-364 -361\n-49 -41\n-436 -430\n-250 -244\n-33 -26\n-162 -158\n-90 -88\n-357 -352\n-339 -337\n-25 -19\n-69 -67\n-261 -260\n-292 -283\n12 18\n44 44\n-277 -275\n-301 -293\n-108 -98\n-180 -172\n-327 -318\n-314 -309\n-12 -7\n-134 -130\n33 35\n-190 -184\n-65 -55\n-242 -240\n-448 -444\n-408 -405\n53 57\n-145 -144\n-207 -200\n-110 -110\n-221 -216\n-122 -112\n26 27\n-271 -269\n-82 -79\n-235 -229\n-382 -373\n-397 -391\n-155 -153",
"output": "18"
},
{
"input": "3 4587\n-49 368\n-734 -390\n-380 -117",
"output": "3560"
},
{
"input": "1 100000\n-100000 100000",
"output": "99999"
},
{
"input": "2 100000\n-100000 99999\n100000 100000",
"output": "99999"
},
{
"input": "1 7\n0 0",
"output": "6"
},
{
"input": "2 5848\n-100000 0\n1 100000",
"output": "4679"
},
{
"input": "3 99999\n-100000 -100000\n-99999 99998\n99999 100000",
"output": "99996"
}
] | 1,690,762,853
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 28
| 342
| 0
|
#اللهم صل على نبينا محمد
i,n=input().split()
i,n=int(i),int(n)
count=0
count2=0
for i in range(i):
j,k=input().split()
j,k=int(j),int(k)
count=count+(k-j+1)
istrue= True
if count%n==0:
print(0)
exit(0)
while istrue:
if count%n!=0:
count+=1
count2+=1
else: break
print(count2)
|
Title: Polo the Penguin and Segments
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little penguin Polo adores integer segments, that is, pairs of integers [*l*; *r*] (*l*<=≤<=*r*).
He has a set that consists of *n* integer segments: [*l*1; *r*1],<=[*l*2; *r*2],<=...,<=[*l**n*; *r**n*]. We know that no two segments of this set intersect. In one move Polo can either widen any segment of the set 1 unit to the left or 1 unit to the right, that is transform [*l*; *r*] to either segment [*l*<=-<=1; *r*], or to segment [*l*; *r*<=+<=1].
The value of a set of segments that consists of *n* segments [*l*1; *r*1],<=[*l*2; *r*2],<=...,<=[*l**n*; *r**n*] is the number of integers *x*, such that there is integer *j*, for which the following inequality holds, *l**j*<=≤<=*x*<=≤<=*r**j*.
Find the minimum number of moves needed to make the value of the set of Polo's segments divisible by *k*.
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=105). Each of the following *n* lines contain a segment as a pair of integers *l**i* and *r**i* (<=-<=105<=≤<=*l**i*<=≤<=*r**i*<=≤<=105), separated by a space.
It is guaranteed that no two segments intersect. In other words, for any two integers *i*,<=*j* (1<=≤<=*i*<=<<=*j*<=≤<=*n*) the following inequality holds, *min*(*r**i*,<=*r**j*)<=<<=*max*(*l**i*,<=*l**j*).
Output Specification:
In a single line print a single integer — the answer to the problem.
Demo Input:
['2 3\n1 2\n3 4\n', '3 7\n1 2\n3 3\n4 7\n']
Demo Output:
['2\n', '0\n']
Note:
none
|
```python
#اللهم صل على نبينا محمد
i,n=input().split()
i,n=int(i),int(n)
count=0
count2=0
for i in range(i):
j,k=input().split()
j,k=int(j),int(k)
count=count+(k-j+1)
istrue= True
if count%n==0:
print(0)
exit(0)
while istrue:
if count%n!=0:
count+=1
count2+=1
else: break
print(count2)
```
| 3
|
|
69
|
A
|
Young Physicist
|
PROGRAMMING
| 1,000
|
[
"implementation",
"math"
] |
A. Young Physicist
|
2
|
256
|
A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces.
|
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100).
|
Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not.
|
[
"3\n4 1 7\n-2 4 -1\n1 -5 -3\n",
"3\n3 -1 7\n-5 2 -4\n2 -1 -3\n"
] |
[
"NO",
"YES"
] |
none
| 500
|
[
{
"input": "3\n4 1 7\n-2 4 -1\n1 -5 -3",
"output": "NO"
},
{
"input": "3\n3 -1 7\n-5 2 -4\n2 -1 -3",
"output": "YES"
},
{
"input": "10\n21 32 -46\n43 -35 21\n42 2 -50\n22 40 20\n-27 -9 38\n-4 1 1\n-40 6 -31\n-13 -2 34\n-21 34 -12\n-32 -29 41",
"output": "NO"
},
{
"input": "10\n25 -33 43\n-27 -42 28\n-35 -20 19\n41 -42 -1\n49 -39 -4\n-49 -22 7\n-19 29 41\n8 -27 -43\n8 34 9\n-11 -3 33",
"output": "NO"
},
{
"input": "10\n-6 21 18\n20 -11 -8\n37 -11 41\n-5 8 33\n29 23 32\n30 -33 -11\n39 -49 -36\n28 34 -49\n22 29 -34\n-18 -6 7",
"output": "NO"
},
{
"input": "10\n47 -2 -27\n0 26 -14\n5 -12 33\n2 18 3\n45 -30 -49\n4 -18 8\n-46 -44 -41\n-22 -10 -40\n-35 -21 26\n33 20 38",
"output": "NO"
},
{
"input": "13\n-3 -36 -46\n-11 -50 37\n42 -11 -15\n9 42 44\n-29 -12 24\n3 9 -40\n-35 13 50\n14 43 18\n-13 8 24\n-48 -15 10\n50 9 -50\n21 0 -50\n0 0 -6",
"output": "YES"
},
{
"input": "14\n43 23 17\n4 17 44\n5 -5 -16\n-43 -7 -6\n47 -48 12\n50 47 -45\n2 14 43\n37 -30 15\n4 -17 -11\n17 9 -45\n-50 -3 -8\n-50 0 0\n-50 0 0\n-16 0 0",
"output": "YES"
},
{
"input": "13\n29 49 -11\n38 -11 -20\n25 1 -40\n-11 28 11\n23 -19 1\n45 -41 -17\n-3 0 -19\n-13 -33 49\n-30 0 28\n34 17 45\n-50 9 -27\n-50 0 0\n-37 0 0",
"output": "YES"
},
{
"input": "12\n3 28 -35\n-32 -44 -17\n9 -25 -6\n-42 -22 20\n-19 15 38\n-21 38 48\n-1 -37 -28\n-10 -13 -50\n-5 21 29\n34 28 50\n50 11 -49\n34 0 0",
"output": "YES"
},
{
"input": "37\n-64 -79 26\n-22 59 93\n-5 39 -12\n77 -9 76\n55 -86 57\n83 100 -97\n-70 94 84\n-14 46 -94\n26 72 35\n14 78 -62\n17 82 92\n-57 11 91\n23 15 92\n-80 -1 1\n12 39 18\n-23 -99 -75\n-34 50 19\n-39 84 -7\n45 -30 -39\n-60 49 37\n45 -16 -72\n33 -51 -56\n-48 28 5\n97 91 88\n45 -82 -11\n-21 -15 -90\n-53 73 -26\n-74 85 -90\n-40 23 38\n100 -13 49\n32 -100 -100\n0 -100 -70\n0 -100 0\n0 -100 0\n0 -100 0\n0 -100 0\n0 -37 0",
"output": "YES"
},
{
"input": "4\n68 3 100\n68 21 -100\n-100 -24 0\n-36 0 0",
"output": "YES"
},
{
"input": "33\n-1 -46 -12\n45 -16 -21\n-11 45 -21\n-60 -42 -93\n-22 -45 93\n37 96 85\n-76 26 83\n-4 9 55\n7 -52 -9\n66 8 -85\n-100 -54 11\n-29 59 74\n-24 12 2\n-56 81 85\n-92 69 -52\n-26 -97 91\n54 59 -51\n58 21 -57\n7 68 56\n-47 -20 -51\n-59 77 -13\n-85 27 91\n79 60 -56\n66 -80 5\n21 -99 42\n-31 -29 98\n66 93 76\n-49 45 61\n100 -100 -100\n100 -100 -100\n66 -75 -100\n0 0 -100\n0 0 -87",
"output": "YES"
},
{
"input": "3\n1 2 3\n3 2 1\n0 0 0",
"output": "NO"
},
{
"input": "2\n5 -23 12\n0 0 0",
"output": "NO"
},
{
"input": "1\n0 0 0",
"output": "YES"
},
{
"input": "1\n1 -2 0",
"output": "NO"
},
{
"input": "2\n-23 77 -86\n23 -77 86",
"output": "YES"
},
{
"input": "26\n86 7 20\n-57 -64 39\n-45 6 -93\n-44 -21 100\n-11 -49 21\n73 -71 -80\n-2 -89 56\n-65 -2 7\n5 14 84\n57 41 13\n-12 69 54\n40 -25 27\n-17 -59 0\n64 -91 -30\n-53 9 42\n-54 -8 14\n-35 82 27\n-48 -59 -80\n88 70 79\n94 57 97\n44 63 25\n84 -90 -40\n-100 100 -100\n-92 100 -100\n0 10 -100\n0 0 -82",
"output": "YES"
},
{
"input": "42\n11 27 92\n-18 -56 -57\n1 71 81\n33 -92 30\n82 83 49\n-87 -61 -1\n-49 45 49\n73 26 15\n-22 22 -77\n29 -93 87\n-68 44 -90\n-4 -84 20\n85 67 -6\n-39 26 77\n-28 -64 20\n65 -97 24\n-72 -39 51\n35 -75 -91\n39 -44 -8\n-25 -27 -57\n91 8 -46\n-98 -94 56\n94 -60 59\n-9 -95 18\n-53 -37 98\n-8 -94 -84\n-52 55 60\n15 -14 37\n65 -43 -25\n94 12 66\n-8 -19 -83\n29 81 -78\n-58 57 33\n24 86 -84\n-53 32 -88\n-14 7 3\n89 97 -53\n-5 -28 -91\n-100 100 -6\n-84 100 0\n0 100 0\n0 70 0",
"output": "YES"
},
{
"input": "3\n96 49 -12\n2 -66 28\n-98 17 -16",
"output": "YES"
},
{
"input": "5\n70 -46 86\n-100 94 24\n-27 63 -63\n57 -100 -47\n0 -11 0",
"output": "YES"
},
{
"input": "18\n-86 -28 70\n-31 -89 42\n31 -48 -55\n95 -17 -43\n24 -95 -85\n-21 -14 31\n68 -18 81\n13 31 60\n-15 28 99\n-42 15 9\n28 -61 -62\n-16 71 29\n-28 75 -48\n-77 -67 36\n-100 83 89\n100 100 -100\n57 34 -100\n0 0 -53",
"output": "YES"
},
{
"input": "44\n52 -54 -29\n-82 -5 -94\n-54 43 43\n91 16 71\n7 80 -91\n3 15 29\n-99 -6 -77\n-3 -77 -64\n73 67 34\n25 -10 -18\n-29 91 63\n-72 86 -16\n-68 85 -81\n-3 36 44\n-74 -14 -80\n34 -96 -97\n-76 -78 -33\n-24 44 -58\n98 12 77\n95 -63 -6\n-51 3 -90\n-92 -10 72\n7 3 -68\n57 -53 71\n29 57 -48\n35 -60 10\n79 -70 -61\n-20 77 55\n-86 -15 -35\n84 -88 -18\n100 -42 77\n-20 46 8\n-41 -43 -65\n38 -98 -23\n-100 65 45\n-7 -91 -63\n46 88 -85\n48 59 100\n0 0 100\n0 0 100\n0 0 100\n0 0 100\n0 0 100\n0 0 1",
"output": "YES"
},
{
"input": "18\n-14 -64 -91\n-8 -66 -86\n-23 92 -40\n6 -3 -53\n57 41 78\n-79 42 -22\n-88 -17 45\n4 -45 44\n83 -18 -25\n34 86 -92\n75 -30 12\n44 99 11\n-67 -13 72\n22 83 -56\n-37 71 72\n-9 -100 100\n0 -100 31\n0 -58 0",
"output": "YES"
},
{
"input": "23\n-70 37 78\n42 84 6\n28 -94 -24\n-49 76 95\n-67 18 84\n-53 78 -5\n65 -63 -64\n-66 -64 -69\n81 -93 95\n10 52 -79\n-89 -61 -64\n-64 -47 43\n-81 -35 55\n80 82 73\n-60 -81 -18\n49 -10 -19\n-58 70 12\n-24 -15 -93\n98 -93 -54\n-28 -75 11\n100 100 -63\n100 100 0\n56 34 0",
"output": "YES"
},
{
"input": "3\n0 2 -2\n1 -1 3\n-3 0 0",
"output": "NO"
}
] | 1,624,946,740
| 2,147,483,647
|
Python 3
|
OK
|
TESTS
| 81
| 154
| 0
|
n=int(input())
s=0
d=0
for i in range(n):
a,b,c=map(int,input().split())
s+=(a+b+c)
d+=c
if s==0 and d==0:
print("YES")
else:
print("NO")
|
Title: Young Physicist
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100).
Output Specification:
Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not.
Demo Input:
['3\n4 1 7\n-2 4 -1\n1 -5 -3\n', '3\n3 -1 7\n-5 2 -4\n2 -1 -3\n']
Demo Output:
['NO', 'YES']
Note:
none
|
```python
n=int(input())
s=0
d=0
for i in range(n):
a,b,c=map(int,input().split())
s+=(a+b+c)
d+=c
if s==0 and d==0:
print("YES")
else:
print("NO")
```
| 3.9615
|
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