contestId int64 0 1.01k | name stringlengths 2 58 | tags listlengths 0 11 | title stringclasses 523
values | time-limit stringclasses 8
values | memory-limit stringclasses 8
values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | test_cases listlengths 0 402 | timeConsumedMillis int64 0 8k | memoryConsumedBytes int64 0 537M | score float64 -1 3.99 | __index_level_0__ int64 0 621k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
60 | Serial Time! | [
"dfs and similar",
"dsu"
] | B. Serial Time! | 2 | 256 | The Cereal Guy's friend Serial Guy likes to watch soap operas. An episode is about to start, and he hasn't washed his plate yet. But he decided to at least put in under the tap to be filled with water. The plate can be represented by a parallelepiped *k*<=×<=*n*<=×<=*m*, that is, it has *k* layers (the first layer is t... | The first line contains three numbers *k*, *n*, *m* (1<=≤<=*k*,<=*n*,<=*m*<=≤<=10) which are the sizes of the plate. Then follow *k* rectangles consisting of *n* lines each containing *m* characters '.' or '#', which represents the "layers" of the plate in the order from the top to the bottom. The rectangles are separa... | The answer should contain a single number, showing in how many minutes the plate will be filled. | [
"1 1 1\n\n.\n\n1 1\n",
"2 1 1\n\n.\n\n#\n\n1 1\n",
"2 2 2\n\n.#\n##\n\n..\n..\n\n1 1\n",
"3 2 2\n\n#.\n##\n\n#.\n.#\n\n..\n..\n\n1 2\n",
"3 3 3\n\n.#.\n###\n##.\n\n.##\n###\n##.\n\n...\n...\n...\n\n1 1\n"
] | [
"1\n",
"1\n",
"5\n",
"7\n",
"13\n"
] | none | [
{
"input": "1 1 1\n\n.\n\n1 1",
"output": "1"
},
{
"input": "2 1 1\n\n.\n\n#\n\n1 1",
"output": "1"
},
{
"input": "2 2 2\n\n.#\n##\n\n..\n..\n\n1 1",
"output": "5"
},
{
"input": "3 2 2\n\n#.\n##\n\n#.\n.#\n\n..\n..\n\n1 2",
"output": "7"
},
{
"input": "3 3 3\n\n.#... | 216 | 307,200 | 0 | 1,670 |
268 | Buttons | [
"implementation",
"math"
] | null | null | Manao is trying to open a rather challenging lock. The lock has *n* buttons on it and to open it, you should press the buttons in a certain order to open the lock. When you push some button, it either stays pressed into the lock (that means that you've guessed correctly and pushed the button that goes next in the seque... | A single line contains integer *n* (1<=≤<=*n*<=≤<=2000) — the number of buttons the lock has. | In a single line print the number of times Manao has to push a button in the worst-case scenario. | [
"2\n",
"3\n"
] | [
"3\n",
"7\n"
] | Consider the first test sample. Manao can fail his first push and push the wrong button. In this case he will already be able to guess the right one with his second push. And his third push will push the second right button. Thus, in the worst-case scenario he will only need 3 pushes. | [
{
"input": "2",
"output": "3"
},
{
"input": "3",
"output": "7"
},
{
"input": "4",
"output": "14"
},
{
"input": "1",
"output": "1"
},
{
"input": "10",
"output": "175"
},
{
"input": "2000",
"output": "1333335000"
},
{
"input": "1747",
"ou... | 92 | 0 | 3 | 1,676 | |
682 | Alyona and Strings | [
"dp",
"strings"
] | null | null | After returned from forest, Alyona started reading a book. She noticed strings *s* and *t*, lengths of which are *n* and *m* respectively. As usual, reading bored Alyona and she decided to pay her attention to strings *s* and *t*, which she considered very similar.
Alyona has her favourite positive integer *k* and bec... | In the first line of the input three integers *n*, *m*, *k* (1<=≤<=*n*,<=*m*<=≤<=1000, 1<=≤<=*k*<=≤<=10) are given — the length of the string *s*, the length of the string *t* and Alyona's favourite number respectively.
The second line of the input contains string *s*, consisting of lowercase English letters.
The thi... | In the only line print the only non-negative integer — the sum of the lengths of the strings in a desired sequence.
It is guaranteed, that at least one desired sequence exists. | [
"3 2 2\nabc\nab\n",
"9 12 4\nbbaaababb\nabbbabbaaaba\n"
] | [
"2\n",
"7\n"
] | The following image describes the answer for the second sample case: | [
{
"input": "3 2 2\nabc\nab",
"output": "2"
},
{
"input": "9 12 4\nbbaaababb\nabbbabbaaaba",
"output": "7"
},
{
"input": "11 11 4\naaababbabbb\nbbbaaaabaab",
"output": "7"
},
{
"input": "15 9 4\nababaaabbaaaabb\nbbaababbb",
"output": "8"
},
{
"input": "2 7 1\nbb\nb... | 0 | 0 | -1 | 1,678 | |
999 | Mishka and Contest | [
"brute force",
"implementation"
] | null | null | Mishka started participating in a programming contest. There are $n$ problems in the contest. Mishka's problem-solving skill is equal to $k$.
Mishka arranges all problems from the contest into a list. Because of his weird principles, Mishka only solves problems from one of the ends of the list. Every time, he chooses ... | The first line of input contains two integers $n$ and $k$ ($1 \le n, k \le 100$) — the number of problems in the contest and Mishka's problem-solving skill.
The second line of input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 100$), where $a_i$ is the difficulty of the $i$-th problem. The problems are... | Print one integer — the maximum number of problems Mishka can solve. | [
"8 4\n4 2 3 1 5 1 6 4\n",
"5 2\n3 1 2 1 3\n",
"5 100\n12 34 55 43 21\n"
] | [
"5\n",
"0\n",
"5\n"
] | In the first example, Mishka can solve problems in the following order: $[4, 2, 3, 1, 5, 1, 6, 4] \rightarrow [2, 3, 1, 5, 1, 6, 4] \rightarrow [2, 3, 1, 5, 1, 6] \rightarrow [3, 1, 5, 1, 6] \rightarrow [1, 5, 1, 6] \rightarrow [5, 1, 6]$, so the number of solved problems will be equal to $5$.
In the second example, M... | [
{
"input": "8 4\n4 2 3 1 5 1 6 4",
"output": "5"
},
{
"input": "5 2\n3 1 2 1 3",
"output": "0"
},
{
"input": "5 100\n12 34 55 43 21",
"output": "5"
},
{
"input": "100 100\n44 47 36 83 76 94 86 69 31 2 22 77 37 51 10 19 25 78 53 25 1 29 48 95 35 53 22 72 49 86 60 38 13 91 89 1... | 108 | 307,200 | 0 | 1,686 | |
102 | Clothes | [
"brute force"
] | A. Clothes | 2 | 256 | A little boy Gerald entered a clothes shop and found out something very unpleasant: not all clothes turns out to match. For example, Gerald noticed that he looks rather ridiculous in a smoking suit and a baseball cap.
Overall the shop sells *n* clothing items, and exactly *m* pairs of clothing items match. Each item h... | The first input file line contains integers *n* and *m* — the total number of clothing items in the shop and the total number of matching pairs of clothing items ().
Next line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=106) — the prices of the clothing items in rubles.
Next *m* lines each contain a pair of space-... | Print the only number — the least possible sum in rubles that Gerald will have to pay in the shop. If the shop has no three clothing items that would match each other, print "-1" (without the quotes). | [
"3 3\n1 2 3\n1 2\n2 3\n3 1\n",
"3 2\n2 3 4\n2 3\n2 1\n",
"4 4\n1 1 1 1\n1 2\n2 3\n3 4\n4 1\n"
] | [
"6\n",
"-1\n",
"-1\n"
] | In the first test there only are three pieces of clothing and they all match each other. Thus, there is only one way — to buy the 3 pieces of clothing; in this case he spends 6 roubles.
The second test only has three pieces of clothing as well, yet Gerald can't buy them because the first piece of clothing does not mat... | [
{
"input": "3 3\n1 2 3\n1 2\n2 3\n3 1",
"output": "6"
},
{
"input": "3 2\n2 3 4\n2 3\n2 1",
"output": "-1"
},
{
"input": "4 4\n1 1 1 1\n1 2\n2 3\n3 4\n4 1",
"output": "-1"
},
{
"input": "4 3\n10 10 5 1\n2 1\n3 1\n3 4",
"output": "-1"
},
{
"input": "4 0\n9 8 2 10",... | 60 | 0 | -1 | 1,687 |
63 | Sinking Ship | [
"implementation",
"sortings",
"strings"
] | A. Sinking Ship | 2 | 256 | The ship crashed into a reef and is sinking. Now the entire crew must be evacuated. All *n* crew members have already lined up in a row (for convenience let's label them all from left to right with positive integers from 1 to *n*) and await further instructions. However, one should evacuate the crew properly, in a stri... | The first line contains an integer *n*, which is the number of people in the crew (1<=≤<=*n*<=≤<=100). Then follow *n* lines. The *i*-th of those lines contains two words — the name of the crew member who is *i*-th in line, and his status on the ship. The words are separated by exactly one space. There are no other spa... | Print *n* lines. The *i*-th of them should contain the name of the crew member who must be the *i*-th one to leave the ship. | [
"6\nJack captain\nAlice woman\nCharlie man\nTeddy rat\nBob child\nJulia woman\n"
] | [
"Teddy\nAlice\nBob\nJulia\nCharlie\nJack\n"
] | none | [
{
"input": "6\nJack captain\nAlice woman\nCharlie man\nTeddy rat\nBob child\nJulia woman",
"output": "Teddy\nAlice\nBob\nJulia\nCharlie\nJack"
},
{
"input": "1\nA captain",
"output": "A"
},
{
"input": "1\nAbcdefjhij captain",
"output": "Abcdefjhij"
},
{
"input": "5\nA captain... | 216 | 1,843,200 | 3.942567 | 1,689 |
638 | Home Numbers | [
"*special",
"constructive algorithms",
"math"
] | null | null | The main street of Berland is a straight line with *n* houses built along it (*n* is an even number). The houses are located at both sides of the street. The houses with odd numbers are at one side of the street and are numbered from 1 to *n*<=-<=1 in the order from the beginning of the street to the end (in the pictur... | The first line of the input contains two integers, *n* and *a* (1<=≤<=*a*<=≤<=*n*<=≤<=100<=000) — the number of houses on the street and the number of the house that Vasya needs to reach, correspondingly. It is guaranteed that number *n* is even. | Print a single integer — the minimum time Vasya needs to get from the beginning of the street to house *a*. | [
"4 2\n",
"8 5\n"
] | [
"2\n",
"3\n"
] | In the first sample there are only four houses on the street, two houses at each side. House 2 will be the last at Vasya's right.
The second sample corresponds to picture with *n* = 8. House 5 is the one before last at Vasya's left. | [
{
"input": "4 2",
"output": "2"
},
{
"input": "8 5",
"output": "3"
},
{
"input": "2 1",
"output": "1"
},
{
"input": "2 2",
"output": "1"
},
{
"input": "10 1",
"output": "1"
},
{
"input": "10 10",
"output": "1"
},
{
"input": "100000 100000",... | 109 | 23,244,800 | 3 | 1,690 | |
36 | Extra-terrestrial Intelligence | [
"implementation"
] | A. Extra-terrestrial Intelligence | 2 | 64 | Recently Vasya got interested in finding extra-terrestrial intelligence. He made a simple extra-terrestrial signals’ receiver and was keeping a record of the signals for *n* days in a row. Each of those *n* days Vasya wrote a 1 in his notebook if he had received a signal that day and a 0 if he hadn’t. Vasya thinks that... | The first line contains integer *n* (3<=≤<=*n*<=≤<=100) — amount of days during which Vasya checked if there were any signals. The second line contains *n* characters 1 or 0 — the record Vasya kept each of those *n* days. It’s guaranteed that the given record sequence contains at least three 1s. | If Vasya has found extra-terrestrial intelligence, output YES, otherwise output NO. | [
"8\n00111000\n",
"7\n1001011\n",
"7\n1010100\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | [
{
"input": "8\n00111000",
"output": "YES"
},
{
"input": "7\n1001011",
"output": "NO"
},
{
"input": "7\n1010100",
"output": "YES"
},
{
"input": "5\n10101",
"output": "YES"
},
{
"input": "3\n111",
"output": "YES"
},
{
"input": "10\n0011111011",
"outp... | 434 | 2,150,400 | -1 | 1,693 |
747 | Servers | [
"implementation"
] | null | null | There are *n* servers in a laboratory, each of them can perform tasks. Each server has a unique id — integer from 1 to *n*.
It is known that during the day *q* tasks will come, the *i*-th of them is characterized with three integers: *t**i* — the moment in seconds in which the task will come, *k**i* — the number of se... | The first line contains two positive integers *n* and *q* (1<=≤<=*n*<=≤<=100, 1<=≤<=*q*<=≤<=105) — the number of servers and the number of tasks.
Next *q* lines contains three integers each, the *i*-th line contains integers *t**i*, *k**i* and *d**i* (1<=≤<=*t**i*<=≤<=106, 1<=≤<=*k**i*<=≤<=*n*, 1<=≤<=*d**i*<=≤<=1000)... | Print *q* lines. If the *i*-th task will be performed by the servers, print in the *i*-th line the sum of servers' ids on which this task will be performed. Otherwise, print -1. | [
"4 3\n1 3 2\n2 2 1\n3 4 3\n",
"3 2\n3 2 3\n5 1 2\n",
"8 6\n1 3 20\n4 2 1\n6 5 5\n10 1 1\n15 3 6\n21 8 8\n"
] | [
"6\n-1\n10\n",
"3\n3\n",
"6\n9\n30\n-1\n15\n36\n"
] | In the first example in the second 1 the first task will come, it will be performed on the servers with ids 1, 2 and 3 (the sum of the ids equals 6) during two seconds. In the second 2 the second task will come, it will be ignored, because only the server 4 will be unoccupied at that second. In the second 3 the third t... | [
{
"input": "4 3\n1 3 2\n2 2 1\n3 4 3",
"output": "6\n-1\n10"
},
{
"input": "3 2\n3 2 3\n5 1 2",
"output": "3\n3"
},
{
"input": "8 6\n1 3 20\n4 2 1\n6 5 5\n10 1 1\n15 3 6\n21 8 8",
"output": "6\n9\n30\n-1\n15\n36"
},
{
"input": "4 1\n6 1 1",
"output": "1"
},
{
"inp... | 2,000 | 0 | 0 | 1,696 | |
888 | Local Extrema | [
"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*<=><=*... | 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 | [
{
"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"
},
{
"inp... | 46 | 0 | 3 | 1,699 | |
166 | Tetrahedron | [
"dp",
"math",
"matrices"
] | null | null | You are given a tetrahedron. Let's mark its vertices with letters *A*, *B*, *C* and *D* correspondingly.
An ant is standing in the vertex *D* of the tetrahedron. The ant is quite active and he wouldn't stay idle. At each moment of time he makes a step from one vertex to another one along some edge of the tetrahedron. ... | The first line contains the only integer *n* (1<=≤<=*n*<=≤<=107) — the required length of the cyclic path. | Print the only integer — the required number of ways modulo 1000000007 (109<=+<=7). | [
"2\n",
"4\n"
] | [
"3\n",
"21\n"
] | The required paths in the first sample are:
- *D* - *A* - *D* - *D* - *B* - *D* - *D* - *C* - *D* | [
{
"input": "2",
"output": "3"
},
{
"input": "4",
"output": "21"
},
{
"input": "1",
"output": "0"
},
{
"input": "3",
"output": "6"
},
{
"input": "5",
"output": "60"
},
{
"input": "6",
"output": "183"
},
{
"input": "7",
"output": "546"
... | 2,000 | 4,096,000 | 0 | 1,707 | |
735 | Taxes | [
"math",
"number theory"
] | null | null | Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to *n* (*n*<=≥<=2) burles and the amount of tax he has to pay is calculated as the maximum divisor of *n* (not equal to *n*, of course). For example, if *n*<==<=6 then Funt has to pay 3 burles, while fo... | The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=2·109) — the total year income of mr. Funt. | Print one integer — minimum possible number of burles that mr. Funt has to pay as a tax. | [
"4\n",
"27\n"
] | [
"2\n",
"3\n"
] | none | [
{
"input": "4",
"output": "2"
},
{
"input": "27",
"output": "3"
},
{
"input": "3",
"output": "1"
},
{
"input": "5",
"output": "1"
},
{
"input": "10",
"output": "2"
},
{
"input": "2000000000",
"output": "2"
},
{
"input": "26",
"output": ... | 155 | 1,228,800 | 3 | 1,708 | |
70 | Lucky Tickets | [
"binary search",
"data structures",
"sortings",
"two pointers"
] | C. Lucky Tickets | 1 | 256 | In Walrusland public transport tickets are characterized by two integers: by the number of the series and by the number of the ticket in the series. Let the series number be represented by *a* and the ticket number — by *b*, then a ticket is described by the ordered pair of numbers (*a*,<=*b*).
The walruses believe t... | The first line contains three integers *max**x*, *max**y*, *w* (1<=≤<=*max**x*,<=*max**y*<=≤<=105, 1<=≤<=*w*<=≤<=107). | Print on a single line two space-separated numbers, the *x* and the *y*. If there are several possible variants, print any of them. If such *x* and *y* do not exist, print a single number <=-<=1. | [
"2 2 1\n",
"132 10 35\n",
"5 18 1000\n",
"48 132 235\n"
] | [
"1 1",
"7 5",
"-1\n",
"22 111"
] | none | [
{
"input": "2 2 1",
"output": "1 1"
},
{
"input": "132 10 35",
"output": "7 5"
},
{
"input": "5 18 1000",
"output": "-1"
},
{
"input": "48 132 235",
"output": "22 111"
},
{
"input": "119 69 169",
"output": "101 9"
},
{
"input": "49 24 83",
"output"... | 30 | 0 | 0 | 1,709 |
1,006 | Three Parts of the Array | [
"binary search",
"data structures",
"two pointers"
] | null | null | You are given an array $d_1, d_2, \dots, d_n$ consisting of $n$ integer numbers.
Your task is to split this array into three parts (some of which may be empty) in such a way that each element of the array belongs to exactly one of the three parts, and each of the parts forms a consecutive contiguous subsegment (possib... | The first line of the input contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the number of elements in the array $d$.
The second line of the input contains $n$ integers $d_1, d_2, \dots, d_n$ ($1 \le d_i \le 10^9$) — the elements of the array $d$. | Print a single integer — the maximum possible value of $sum_1$, considering that the condition $sum_1 = sum_3$ must be met.
Obviously, at least one valid way to split the array exists (use $a=c=0$ and $b=n$). | [
"5\n1 3 1 1 4\n",
"5\n1 3 2 1 4\n",
"3\n4 1 2\n"
] | [
"5\n",
"4\n",
"0\n"
] | In the first example there is only one possible splitting which maximizes $sum_1$: $[1, 3, 1], [~], [1, 4]$.
In the second example the only way to have $sum_1=4$ is: $[1, 3], [2, 1], [4]$.
In the third example there is only one way to split the array: $[~], [4, 1, 2], [~]$. | [
{
"input": "5\n1 3 1 1 4",
"output": "5"
},
{
"input": "5\n1 3 2 1 4",
"output": "4"
},
{
"input": "3\n4 1 2",
"output": "0"
},
{
"input": "1\n1000000000",
"output": "0"
},
{
"input": "2\n1 1",
"output": "1"
},
{
"input": "5\n1 3 5 4 5",
"output": ... | 109 | 16,998,400 | 3 | 1,715 | |
1,005 | Polycarp and Div 3 | [
"dp",
"greedy",
"number theory"
] | null | null | Polycarp likes numbers that are divisible by 3.
He has a huge number $s$. Polycarp wants to cut from it the maximum number of numbers that are divisible by $3$. To do this, he makes an arbitrary number of vertical cuts between pairs of adjacent digits. As a result, after $m$ such cuts, there will be $m+1$ parts in tot... | The first line of the input contains a positive integer $s$. The number of digits of the number $s$ is between $1$ and $2\cdot10^5$, inclusive. The first (leftmost) digit is not equal to 0. | Print the maximum number of numbers divisible by $3$ that Polycarp can get by making vertical cuts in the given number $s$. | [
"3121\n",
"6\n",
"1000000000000000000000000000000000\n",
"201920181\n"
] | [
"2\n",
"1\n",
"33\n",
"4\n"
] | In the first example, an example set of optimal cuts on the number is 3|1|21.
In the second example, you do not need to make any cuts. The specified number 6 forms one number that is divisible by $3$.
In the third example, cuts must be made between each pair of digits. As a result, Polycarp gets one digit 1 and $33$ ... | [
{
"input": "3121",
"output": "2"
},
{
"input": "6",
"output": "1"
},
{
"input": "1000000000000000000000000000000000",
"output": "33"
},
{
"input": "201920181",
"output": "4"
},
{
"input": "4",
"output": "0"
},
{
"input": "10",
"output": "1"
},
... | 46 | 0 | 0 | 1,716 | |
52 | Circular RMQ | [
"data structures"
] | C. Circular RMQ | 1 | 256 | You are given circular array *a*0,<=*a*1,<=...,<=*a**n*<=-<=1. There are two types of operations with it:
- *inc*(*lf*,<=*rg*,<=*v*) — this operation increases each element on the segment [*lf*,<=*rg*] (inclusively) by *v*; - *rmq*(*lf*,<=*rg*) — this operation returns minimal value on the segment [*lf*,<=*rg*] (in... | The first line contains integer *n* (1<=≤<=*n*<=≤<=200000). The next line contains initial state of the array: *a*0,<=*a*1,<=...,<=*a**n*<=-<=1 (<=-<=106<=≤<=*a**i*<=≤<=106), *a**i* are integer. The third line contains integer *m* (0<=≤<=*m*<=≤<=200000), *m* — the number of operartons. Next *m* lines contain one operat... | For each *rmq* operation write result for it. Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d). | [
"4\n1 2 3 4\n4\n3 0\n3 0 -1\n0 1\n2 1\n"
] | [
"1\n0\n0\n"
] | none | [
{
"input": "4\n1 2 3 4\n4\n3 0\n3 0 -1\n0 1\n2 1",
"output": "1\n0\n0"
},
{
"input": "1\n-1\n10\n0 0 -1\n0 0\n0 0 1\n0 0\n0 0 1\n0 0\n0 0 0\n0 0\n0 0 -1\n0 0 1",
"output": "-2\n-1\n0\n0"
},
{
"input": "2\n-1 -1\n10\n0 0\n0 0\n0 0 1\n0 0\n1 1\n0 0 -1\n0 0 0\n0 0 1\n1 1 0\n0 0 -1",
"ou... | 109 | 2,764,800 | 0 | 1,719 |
714 | Meeting of Old Friends | [
"implementation",
"math"
] | null | null | Today an outstanding event is going to happen in the forest — hedgehog Filya will come to his old fried Sonya!
Sonya is an owl and she sleeps during the day and stay awake from minute *l*1 to minute *r*1 inclusive. Also, during the minute *k* she prinks and is unavailable for Filya.
Filya works a lot and he plans to ... | The only line of the input contains integers *l*1, *r*1, *l*2, *r*2 and *k* (1<=≤<=*l*1,<=*r*1,<=*l*2,<=*r*2,<=*k*<=≤<=1018, *l*1<=≤<=*r*1, *l*2<=≤<=*r*2), providing the segments of time for Sonya and Filya and the moment of time when Sonya prinks. | Print one integer — the number of minutes Sonya and Filya will be able to spend together. | [
"1 10 9 20 1\n",
"1 100 50 200 75\n"
] | [
"2\n",
"50\n"
] | In the first sample, they will be together during minutes 9 and 10.
In the second sample, they will be together from minute 50 to minute 74 and from minute 76 to minute 100. | [
{
"input": "1 10 9 20 1",
"output": "2"
},
{
"input": "1 100 50 200 75",
"output": "50"
},
{
"input": "6 6 5 8 9",
"output": "1"
},
{
"input": "1 1000000000 1 1000000000 1",
"output": "999999999"
},
{
"input": "5 100 8 8 8",
"output": "0"
},
{
"input":... | 389 | 10,444,800 | 3 | 1,721 | |
638 | Making Genome in Berland | [
"*special",
"dfs and similar",
"strings"
] | null | null | Berland scientists face a very important task - given the parts of short DNA fragments, restore the dinosaur DNA! The genome of a berland dinosaur has noting in common with the genome that we've used to: it can have 26 distinct nucleotide types, a nucleotide of each type can occur at most once. If we assign distinct En... | The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of genome fragments.
Each of the next lines contains one descriptions of a fragment. Each fragment is a non-empty string consisting of distinct small letters of the English alphabet. It is not guaranteed that the given fragmen... | In the single line of the output print the genome of the minimum length that contains all the given parts. All the nucleotides in the genome must be distinct. If there are multiple suitable strings, print the string of the minimum length. If there also are multiple suitable strings, you can print any of them. | [
"3\nbcd\nab\ncdef\n",
"4\nx\ny\nz\nw\n"
] | [
"abcdef\n",
"xyzw\n"
] | none | [
{
"input": "3\nbcd\nab\ncdef",
"output": "abcdef"
},
{
"input": "4\nx\ny\nz\nw",
"output": "xyzw"
},
{
"input": "25\nef\nfg\ngh\nhi\nij\njk\nkl\nlm\nmn\nno\nab\nbc\ncd\nde\nop\npq\nqr\nrs\nst\ntu\nuv\nvw\nwx\nxy\nyz",
"output": "abcdefghijklmnopqrstuvwxyz"
},
{
"input": "1\nf... | 108 | 23,244,800 | 0 | 1,723 | |
0 | none | [
"none"
] | null | null | You have *n* devices that you want to use simultaneously.
The *i*-th device uses *a**i* units of power per second. This usage is continuous. That is, in λ seconds, the device will use λ·*a**i* units of power. The *i*-th device currently has *b**i* units of power stored. All devices can store an arbitrary amount of pow... | The first line contains two integers, *n* and *p* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*p*<=≤<=109) — the number of devices and the power of the charger.
This is followed by *n* lines which contain two integers each. Line *i* contains the integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=100<=000) — the power of the dev... | If you can use the devices indefinitely, print -1. Otherwise, print the maximum amount of time before any one device hits 0 power.
Your answer will be considered correct if its absolute or relative error does not exceed 10<=-<=4.
Namely, let's assume that your answer is *a* and the answer of the jury is *b*. The chec... | [
"2 1\n2 2\n2 1000\n",
"1 100\n1 1\n",
"3 5\n4 3\n5 2\n6 1\n"
] | [
"2.0000000000",
"-1\n",
"0.5000000000"
] | In sample test 1, you can charge the first device for the entire time until it hits zero power. The second device has enough power to last this time without being charged.
In sample test 2, you can use the device indefinitely.
In sample test 3, we can charge the third device for 2 / 5 of a second, then switch to char... | [
{
"input": "2 1\n2 2\n2 1000",
"output": "2.0000000000"
},
{
"input": "1 100\n1 1",
"output": "-1"
},
{
"input": "3 5\n4 3\n5 2\n6 1",
"output": "0.5000000000"
},
{
"input": "1 1\n1 87",
"output": "-1"
},
{
"input": "1 1\n100 77",
"output": "0.7777777778"
},... | 77 | 0 | 0 | 1,730 | |
229 | Towers | [
"dp",
"greedy",
"two pointers"
] | null | null | The city of D consists of *n* towers, built consecutively on a straight line. The height of the tower that goes *i*-th (from left to right) in the sequence equals *h**i*. The city mayor decided to rebuild the city to make it beautiful. In a beautiful city all towers are are arranged in non-descending order of their hei... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=5000) — the number of towers in the city. The next line contains *n* space-separated integers: the *i*-th number *h**i* (1<=≤<=*h**i*<=≤<=105) determines the height of the tower that is *i*-th (from left to right) in the initial tower sequence. | Print a single integer — the minimum number of operations needed to make the city beautiful. | [
"5\n8 2 7 3 1\n",
"3\n5 2 1\n"
] | [
"3\n",
"2\n"
] | none | [
{
"input": "5\n8 2 7 3 1",
"output": "3"
},
{
"input": "3\n5 2 1",
"output": "2"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "2\n1 2",
"output": "0"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "3\n1 3 2",
"output": "1"
},
{
"i... | 140 | 20,172,800 | 0 | 1,732 | |
652 | z-sort | [
"sortings"
] | null | null | A student of *z*-school found a kind of sorting called *z*-sort. The array *a* with *n* elements are *z*-sorted if two conditions hold:
1. *a**i*<=≥<=*a**i*<=-<=1 for all even *i*, 1. *a**i*<=≤<=*a**i*<=-<=1 for all odd *i*<=><=1.
For example the arrays [1,2,1,2] and [1,1,1,1] are *z*-sorted while the array [1,2... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of elements in the array *a*.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the elements of the array *a*. | If it's possible to make the array *a* *z*-sorted print *n* space separated integers *a**i* — the elements after *z*-sort. Otherwise print the only word "Impossible". | [
"4\n1 2 2 1\n",
"5\n1 3 2 2 5\n"
] | [
"1 2 1 2\n",
"1 5 2 3 2\n"
] | none | [
{
"input": "4\n1 2 2 1",
"output": "1 2 1 2"
},
{
"input": "5\n1 3 2 2 5",
"output": "1 5 2 3 2"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "10\n1 1 1 1 1 1 1 1 1 1",
"output": "1 1 1 1 1 1 1 1 1 1"
},
{
"input": "10\n1 9 7 6 2 4 7 8 1 3",
"output": "1 ... | 62 | 0 | 3 | 1,733 | |
584 | Kolya and Tanya | [
"combinatorics"
] | null | null | Kolya loves putting gnomes at the circle table and giving them coins, and Tanya loves studying triplets of gnomes, sitting in the vertexes of an equilateral triangle.
More formally, there are 3*n* gnomes sitting in a circle. Each gnome can have from 1 to 3 coins. Let's number the places in the order they occur in the ... | A single line contains number *n* (1<=≤<=*n*<=≤<=105) — the number of the gnomes divided by three. | Print a single number — the remainder of the number of variants of distributing coins that satisfy Tanya modulo 109<=+<=7. | [
"1\n",
"2\n"
] | [
"20",
"680"
] | 20 ways for *n* = 1 (gnome with index 0 sits on the top of the triangle, gnome 1 on the right vertex, gnome 2 on the left vertex): <img class="tex-graphics" src="https://espresso.codeforces.com/64df38b85ccb482cf88d02dc52e348e33313f9da.png" style="max-width: 100.0%;max-height: 100.0%;"/> | [
{
"input": "1",
"output": "20"
},
{
"input": "2",
"output": "680"
},
{
"input": "3",
"output": "19340"
},
{
"input": "4",
"output": "529040"
},
{
"input": "5",
"output": "14332100"
},
{
"input": "7",
"output": "459529590"
},
{
"input": "10"... | 77 | 2,457,600 | 3 | 1,738 | |
337 | Routine Problem | [
"greedy",
"math",
"number theory"
] | null | null | Manao has a monitor. The screen of the monitor has horizontal to vertical length ratio *a*:*b*. Now he is going to watch a movie. The movie's frame has horizontal to vertical length ratio *c*:*d*. Manao adjusts the view in such a way that the movie preserves the original frame ratio, but also occupies as much space on ... | A single line contains four space-separated integers *a*, *b*, *c*, *d* (1<=≤<=*a*,<=*b*,<=*c*,<=*d*<=≤<=1000). | Print the answer to the problem as "p/q", where *p* is a non-negative integer, *q* is a positive integer and numbers *p* and *q* don't have a common divisor larger than 1. | [
"1 1 3 2\n",
"4 3 2 2\n"
] | [
"1/3\n",
"1/4\n"
] | Sample 1. Manao's monitor has a square screen. The movie has 3:2 horizontal to vertical length ratio. Obviously, the movie occupies most of the screen if the width of the picture coincides with the width of the screen. In this case, only 2/3 of the monitor will project the movie in the horizontal dimension: <img class=... | [
{
"input": "1 1 3 2",
"output": "1/3"
},
{
"input": "4 3 2 2",
"output": "1/4"
},
{
"input": "3 4 2 3",
"output": "1/9"
},
{
"input": "4 4 5 5",
"output": "0/1"
},
{
"input": "1 1 1 1",
"output": "0/1"
},
{
"input": "1000 1000 1000 1000",
"output":... | 122 | 409,600 | 0 | 1,741 | |
242 | King's Path | [
"dfs and similar",
"graphs",
"hashing",
"shortest paths"
] | null | null | The black king is standing on a chess field consisting of 109 rows and 109 columns. We will consider the rows of the field numbered with integers from 1 to 109 from top to bottom. The columns are similarly numbered with integers from 1 to 109 from left to right. We will denote a cell of the field that is located in the... | The first line contains four space-separated integers *x*0,<=*y*0,<=*x*1,<=*y*1 (1<=≤<=*x*0,<=*y*0,<=*x*1,<=*y*1<=≤<=109), denoting the initial and the final positions of the king.
The second line contains a single integer *n* (1<=≤<=*n*<=≤<=105), denoting the number of segments of allowed cells. Next *n* lines contai... | If there is no path between the initial and final position along allowed cells, print -1.
Otherwise print a single integer — the minimum number of moves the king needs to get from the initial position to the final one. | [
"5 7 6 11\n3\n5 3 8\n6 7 11\n5 2 5\n",
"3 4 3 10\n3\n3 1 4\n4 5 9\n3 10 10\n",
"1 1 2 10\n2\n1 1 3\n2 6 10\n"
] | [
"4\n",
"6\n",
"-1\n"
] | none | [
{
"input": "5 7 6 11\n3\n5 3 8\n6 7 11\n5 2 5",
"output": "4"
},
{
"input": "3 4 3 10\n3\n3 1 4\n4 5 9\n3 10 10",
"output": "6"
},
{
"input": "1 1 2 10\n2\n1 1 3\n2 6 10",
"output": "-1"
},
{
"input": "9 8 7 8\n9\n10 6 6\n10 6 6\n7 7 8\n9 5 6\n8 9 9\n9 5 5\n9 8 8\n8 5 6\n9 10... | 686 | 11,980,800 | 3 | 1,743 | |
910 | Door Frames | [
"greedy",
"implementation"
] | null | null | Petya has equal wooden bars of length *n*. He wants to make a frame for two equal doors. Each frame has two vertical (left and right) sides of length *a* and one top side of length *b*. A solid (i.e. continuous without breaks) piece of bar is needed for each side.
Determine a minimal number of wooden bars which are ne... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1<=000) — the length of each wooden bar.
The second line contains a single integer *a* (1<=≤<=*a*<=≤<=*n*) — the length of the vertical (left and right) sides of a door frame.
The third line contains a single integer *b* (1<=≤<=*b*<=≤<=*n*) — the length of t... | Print the minimal number of wooden bars with length *n* which are needed to make the frames for two doors. | [
"8\n1\n2\n",
"5\n3\n4\n",
"6\n4\n2\n",
"20\n5\n6\n"
] | [
"1\n",
"6\n",
"4\n",
"2\n"
] | In the first example one wooden bar is enough, since the total length of all six sides of the frames for two doors is 8.
In the second example 6 wooden bars is enough, because for each side of the frames the new wooden bar is needed. | [
{
"input": "8\n1\n2",
"output": "1"
},
{
"input": "5\n3\n4",
"output": "6"
},
{
"input": "6\n4\n2",
"output": "4"
},
{
"input": "20\n5\n6",
"output": "2"
},
{
"input": "1\n1\n1",
"output": "6"
},
{
"input": "3\n1\n2",
"output": "3"
},
{
"in... | 124 | 0 | 3 | 1,744 | |
8 | Train and Peter | [
"strings"
] | A. Train and Peter | 1 | 64 | Peter likes to travel by train. He likes it so much that on the train he falls asleep.
Once in summer Peter was going by train from city A to city B, and as usual, was sleeping. Then he woke up, started to look through the window and noticed that every railway station has a flag of a particular colour.
The boy start... | The input data contains three lines. The first line contains a non-empty string, whose length does not exceed 105, the string consists of lowercase Latin letters — the flags' colours at the stations on the way from A to B. On the way from B to A the train passes the same stations, but in reverse order.
The second lin... | Output one of the four words without inverted commas:
- «forward» — if Peter could see such sequences only on the way from A to B; - «backward» — if Peter could see such sequences on the way from B to A; - «both» — if Peter could see such sequences both on the way from A to B, and on the way from B to A; - «fanta... | [
"atob\na\nb\n",
"aaacaaa\naca\naa\n"
] | [
"forward\n",
"both\n"
] | It is assumed that the train moves all the time, so one flag cannot be seen twice. There are no flags at stations A and B. | [
{
"input": "atob\na\nb",
"output": "forward"
},
{
"input": "aaacaaa\naca\naa",
"output": "both"
},
{
"input": "aaa\naa\naa",
"output": "fantasy"
},
{
"input": "astalavista\nastla\nlavista",
"output": "fantasy"
},
{
"input": "abacabadabacaba\nabacaba\nabacaba",
... | 122 | 4,608,000 | 0 | 1,747 |
61 | Hard Work | [
"strings"
] | B. Hard Work | 2 | 256 | After the contest in comparing numbers, Shapur's teacher found out that he is a real genius and that no one could possibly do the calculations faster than him even using a super computer!
Some days before the contest, the teacher took a very simple-looking exam and all his *n* students took part in the exam. The teach... | The first three lines contain a string each. These are the initial strings. They consists only of lowercase and uppercase Latin letters and signs ("-", ";" and "_"). All the initial strings have length from 1 to 100, inclusively.
In the fourth line there is a single integer *n* (0<=≤<=*n*<=≤<=1000), the number of stud... | For each student write in a different line. Print "WA" if his answer is wrong or "ACC" if his answer is OK. | [
"Iran_\nPersian;\nW_o;n;d;e;r;f;u;l;\n7\nWonderfulPersianIran\nwonderful_PersIAN_IRAN;;_\nWONDERFUL___IRAN__PERSIAN__;;\nIra__Persiann__Wonderful\nWonder;;fulPersian___;I;r;a;n;\n__________IranPersianWonderful__________\nPersianIran_is_Wonderful\n",
"Shapur;;\nis___\na_genius\n3\nShapur__a_is___geniUs\nis___shapu... | [
"ACC\nACC\nACC\nWA\nACC\nACC\nWA\n",
"WA\nACC\nACC\n"
] | none | [
{
"input": "Iran_\nPersian;\nW_o;n;d;e;r;f;u;l;\n7\nWonderfulPersianIran\nwonderful_PersIAN_IRAN;;_\nWONDERFUL___IRAN__PERSIAN__;;\nIra__Persiann__Wonderful\nWonder;;fulPersian___;I;r;a;n;\n__________IranPersianWonderful__________\nPersianIran_is_Wonderful",
"output": "ACC\nACC\nACC\nWA\nACC\nACC\nWA"
},
... | 93 | 5,734,400 | 3.966069 | 1,750 |
995 | Suit and Tie | [
"greedy",
"implementation",
"math"
] | null | null | Allen is hosting a formal dinner party. $2n$ people come to the event in $n$ pairs (couples). After a night of fun, Allen wants to line everyone up for a final picture. The $2n$ people line up, but Allen doesn't like the ordering. Allen prefers if each pair occupies adjacent positions in the line, as this makes the pic... | The first line contains a single integer $n$ ($1 \le n \le 100$), the number of pairs of people.
The second line contains $2n$ integers $a_1, a_2, \dots, a_{2n}$. For each $i$ with $1 \le i \le n$, $i$ appears exactly twice. If $a_j = a_k = i$, that means that the $j$-th and $k$-th people in the line form a couple. | Output a single integer, representing the minimum number of adjacent swaps needed to line the people up so that each pair occupies adjacent positions. | [
"4\n1 1 2 3 3 2 4 4\n",
"3\n1 1 2 2 3 3\n",
"3\n3 1 2 3 1 2\n"
] | [
"2\n",
"0\n",
"3\n"
] | In the first sample case, we can transform $1 1 2 3 3 2 4 4 \rightarrow 1 1 2 3 2 3 4 4 \rightarrow 1 1 2 2 3 3 4 4$ in two steps. Note that the sequence $1 1 2 3 3 2 4 4 \rightarrow 1 1 3 2 3 2 4 4 \rightarrow 1 1 3 3 2 2 4 4$ also works in the same number of steps.
The second sample case already satisfies the constr... | [
{
"input": "4\n1 1 2 3 3 2 4 4",
"output": "2"
},
{
"input": "3\n1 1 2 2 3 3",
"output": "0"
},
{
"input": "3\n3 1 2 3 1 2",
"output": "3"
},
{
"input": "8\n7 6 2 1 4 3 3 7 2 6 5 1 8 5 8 4",
"output": "27"
},
{
"input": "2\n1 2 1 2",
"output": "1"
},
{
... | 108 | 0 | 3 | 1,752 | |
712 | Memory and Trident | [
"implementation",
"strings"
] | null | null | Memory is performing a walk on the two-dimensional plane, starting at the origin. He is given a string *s* with his directions for motion:
- An 'L' indicates he should move one unit left. - An 'R' indicates he should move one unit right. - A 'U' indicates he should move one unit up. - A 'D' indicates he should move... | The first and only line contains the string *s* (1<=≤<=|*s*|<=≤<=100<=000) — the instructions Memory is given. | If there is a string satisfying the conditions, output a single integer — the minimum number of edits required. In case it's not possible to change the sequence in such a way that it will bring Memory to to the origin, output -1. | [
"RRU\n",
"UDUR\n",
"RUUR\n"
] | [
"-1\n",
"1\n",
"2\n"
] | In the first sample test, Memory is told to walk right, then right, then up. It is easy to see that it is impossible to edit these instructions to form a valid walk.
In the second sample test, Memory is told to walk up, then down, then up, then right. One possible solution is to change *s* to "LDUR". This string uses ... | [
{
"input": "RRU",
"output": "-1"
},
{
"input": "UDUR",
"output": "1"
},
{
"input": "RUUR",
"output": "2"
},
{
"input": "DDDD",
"output": "2"
},
{
"input": "RRRR",
"output": "2"
},
{
"input": "RRRUUD",
"output": "2"
},
{
"input": "UDURLRDURL... | 77 | 307,200 | 3 | 1,754 | |
0 | none | [
"none"
] | null | null | Leha decided to move to a quiet town Vičkopolis, because he was tired by living in Bankopolis. Upon arrival he immediately began to expand his network of hacked computers. During the week Leha managed to get access to *n* computers throughout the town. Incidentally all the computers, which were hacked by Leha, lie on t... | The first line contains one integer *n* (1<=≤<=*n*<=≤<=3·105) denoting the number of hacked computers.
The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≤<=*x**i*<=≤<=109) denoting the coordinates of hacked computers. It is guaranteed that all *x**i* are distinct. | Print a single integer — the required sum modulo 109<=+<=7. | [
"2\n4 7\n",
"3\n4 3 1\n"
] | [
"3\n",
"9\n"
] | There are three non-empty subsets in the first sample test:<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/02b2d12556dad85f1c6c6912786eb87d4be2ea17.png" style="max-width: 100.0%;max-height: 100.0%;"/>, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/22f6a537962c... | [
{
"input": "2\n4 7",
"output": "3"
},
{
"input": "3\n4 3 1",
"output": "9"
},
{
"input": "20\n8 11 13 19 21 34 36 44 57 58 61 63 76 78 79 81 85 86 90 95",
"output": "83396599"
},
{
"input": "20\n1 8 9 12 15 17 18 24 30 33 36 41 53 54 59 62 64 66 72 73",
"output": "6805914... | 685 | 50,073,600 | -1 | 1,757 | |
552 | Vanya and Books | [
"implementation",
"math"
] | null | null | Vanya got an important task — he should enumerate books in the library and label each book with its number. Each of the *n* books should be assigned with a number from 1 to *n*. Naturally, distinct books should be assigned distinct numbers.
Vanya wants to know how many digits he will have to write down as he labels th... | The first line contains integer *n* (1<=≤<=*n*<=≤<=109) — the number of books in the library. | Print the number of digits needed to number all the books. | [
"13\n",
"4\n"
] | [
"17\n",
"4\n"
] | Note to the first test. The books get numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, which totals to 17 digits.
Note to the second sample. The books get numbers 1, 2, 3, 4, which totals to 4 digits. | [
{
"input": "13",
"output": "17"
},
{
"input": "4",
"output": "4"
},
{
"input": "100",
"output": "192"
},
{
"input": "99",
"output": "189"
},
{
"input": "1000000000",
"output": "8888888899"
},
{
"input": "1000000",
"output": "5888896"
},
{
"... | 46 | 0 | 0 | 1,761 | |
828 | Restaurant Tables | [
"implementation"
] | null | null | In a small restaurant there are *a* tables for one person and *b* tables for two persons.
It it known that *n* groups of people come today, each consisting of one or two people.
If a group consist of one person, it is seated at a vacant one-seater table. If there are none of them, it is seated at a vacant two-seate... | The first line contains three integers *n*, *a* and *b* (1<=≤<=*n*<=≤<=2·105, 1<=≤<=*a*,<=*b*<=≤<=2·105) — the number of groups coming to the restaurant, the number of one-seater and the number of two-seater tables.
The second line contains a sequence of integers *t*1,<=*t*2,<=...,<=*t**n* (1<=≤<=*t**i*<=≤<=2) — the d... | Print the total number of people the restaurant denies service to. | [
"4 1 2\n1 2 1 1\n",
"4 1 1\n1 1 2 1\n"
] | [
"0\n",
"2\n"
] | In the first example the first group consists of one person, it is seated at a vacant one-seater table. The next group occupies a whole two-seater table. The third group consists of one person, it occupies one place at the remaining two-seater table. The fourth group consists of one person, he is seated at the remainin... | [
{
"input": "4 1 2\n1 2 1 1",
"output": "0"
},
{
"input": "4 1 1\n1 1 2 1",
"output": "2"
},
{
"input": "1 1 1\n1",
"output": "0"
},
{
"input": "2 1 2\n2 2",
"output": "0"
},
{
"input": "5 1 3\n1 2 2 2 1",
"output": "1"
},
{
"input": "7 6 1\n1 1 1 1 1 1... | 93 | 0 | 0 | 1,762 | |
895 | XK Segments | [
"binary search",
"math",
"sortings",
"two pointers"
] | null | null | While Vasya finished eating his piece of pizza, the lesson has already started. For being late for the lesson, the teacher suggested Vasya to solve one interesting problem. Vasya has an array *a* and integer *x*. He should find the number of different ordered pairs of indexes (*i*,<=*j*) such that *a**i*<=≤<=*a**j* and... | The first line contains 3 integers *n*,<=*x*,<=*k* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*x*<=≤<=109,<=0<=≤<=*k*<=≤<=109), where *n* is the size of the array *a* and *x* and *k* are numbers from the statement.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the elements of the array *a*. | Print one integer — the answer to the problem. | [
"4 2 1\n1 3 5 7\n",
"4 2 0\n5 3 1 7\n",
"5 3 1\n3 3 3 3 3\n"
] | [
"3\n",
"4\n",
"25\n"
] | In first sample there are only three suitable pairs of indexes — (1, 2), (2, 3), (3, 4).
In second sample there are four suitable pairs of indexes(1, 1), (2, 2), (3, 3), (4, 4).
In third sample every pair (*i*, *j*) is suitable, so the answer is 5 * 5 = 25. | [
{
"input": "4 2 1\n1 3 5 7",
"output": "3"
},
{
"input": "4 2 0\n5 3 1 7",
"output": "4"
},
{
"input": "5 3 1\n3 3 3 3 3",
"output": "25"
},
{
"input": "5 3 4\n24 13 1 24 24",
"output": "4"
},
{
"input": "4 2 2\n1 3 5 7",
"output": "2"
},
{
"input": "5... | 389 | 36,761,600 | 3 | 1,765 | |
600 | Lomsat gelral | [
"data structures",
"dfs and similar",
"dsu",
"trees"
] | null | null | You are given a rooted tree with root in vertex 1. Each vertex is coloured in some colour.
Let's call colour *c* dominating in the subtree of vertex *v* if there are no other colours that appear in the subtree of vertex *v* more times than colour *c*. So it's possible that two or more colours will be dominating in the... | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of vertices in the tree.
The second line contains *n* integers *c**i* (1<=≤<=*c**i*<=≤<=*n*), *c**i* — the colour of the *i*-th vertex.
Each of the next *n*<=-<=1 lines contains two integers *x**j*,<=*y**j* (1<=≤<=*x**j*,<=*y**j*<=≤<=*n*) — the edge... | Print *n* integers — the sums of dominating colours for each vertex. | [
"4\n1 2 3 4\n1 2\n2 3\n2 4\n",
"15\n1 2 3 1 2 3 3 1 1 3 2 2 1 2 3\n1 2\n1 3\n1 4\n1 14\n1 15\n2 5\n2 6\n2 7\n3 8\n3 9\n3 10\n4 11\n4 12\n4 13\n"
] | [
"10 9 3 4\n",
"6 5 4 3 2 3 3 1 1 3 2 2 1 2 3\n"
] | none | [
{
"input": "4\n1 2 3 4\n1 2\n2 3\n2 4",
"output": "10 9 3 4"
},
{
"input": "15\n1 2 3 1 2 3 3 1 1 3 2 2 1 2 3\n1 2\n1 3\n1 4\n1 14\n1 15\n2 5\n2 6\n2 7\n3 8\n3 9\n3 10\n4 11\n4 12\n4 13",
"output": "6 5 4 3 2 3 3 1 1 3 2 2 1 2 3"
}
] | 61 | 2,252,800 | 0 | 1,768 | |
0 | none | [
"none"
] | null | null | In the spirit of the holidays, Saitama has given Genos two grid paths of length *n* (a weird gift even by Saitama's standards). A grid path is an ordered sequence of neighbouring squares in an infinite grid. Two squares are neighbouring if they share a side.
One example of a grid path is (0,<=0)<=→<=(0,<=1)<=→<=(0,<=2... | The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=1<=000<=000) — the length of the paths.
The second line of the input contains a string consisting of *n*<=-<=1 characters (each of which is either 'N', 'E', 'S', or 'W') — the first grid path. The characters can be thought of as the sequence of m... | Print "YES" (without quotes) if it is possible for both marbles to be at the end position at the same time. Print "NO" (without quotes) otherwise. In both cases, the answer is case-insensitive. | [
"7\nNNESWW\nSWSWSW\n",
"3\nNN\nSS\n"
] | [
"YES\n",
"NO\n"
] | In the first sample, the first grid path is the one described in the statement. Moreover, the following sequence of moves will get both marbles to the end: NNESWWSWSW.
In the second sample, no sequence of moves can get both marbles to the end. | [
{
"input": "7\nNNESWW\nSWSWSW",
"output": "YES"
},
{
"input": "3\nNN\nSS",
"output": "NO"
},
{
"input": "3\nES\nNW",
"output": "NO"
},
{
"input": "5\nWSSE\nWNNE",
"output": "NO"
},
{
"input": "2\nE\nE",
"output": "YES"
},
{
"input": "2\nW\nS",
"out... | 31 | 0 | -1 | 1,769 | |
544 | Set of Strings | [
"implementation",
"strings"
] | null | null | You are given a string *q*. A sequence of *k* strings *s*1,<=*s*2,<=...,<=*s**k* is called beautiful, if the concatenation of these strings is string *q* (formally, *s*1<=+<=*s*2<=+<=...<=+<=*s**k*<==<=*q*) and the first characters of these strings are distinct.
Find any beautiful sequence of strings or determine that... | The first line contains a positive integer *k* (1<=≤<=*k*<=≤<=26) — the number of strings that should be in a beautiful sequence.
The second line contains string *q*, consisting of lowercase Latin letters. The length of the string is within range from 1 to 100, inclusive. | If such sequence doesn't exist, then print in a single line "NO" (without the quotes). Otherwise, print in the first line "YES" (without the quotes) and in the next *k* lines print the beautiful sequence of strings *s*1,<=*s*2,<=...,<=*s**k*.
If there are multiple possible answers, print any of them. | [
"1\nabca\n",
"2\naaacas\n",
"4\nabc\n"
] | [
"YES\nabca\n",
"YES\naaa\ncas\n",
"NO\n"
] | In the second sample there are two possible answers: {"*aaaca*", "*s*"} and {"*aaa*", "*cas*"}. | [
{
"input": "1\nabca",
"output": "YES\nabca"
},
{
"input": "2\naaacas",
"output": "YES\naaa\ncas"
},
{
"input": "4\nabc",
"output": "NO"
},
{
"input": "3\nnddkhkhkdndknndkhrnhddkrdhrnrrnkkdnnndndrdhnknknhnrnnkrrdhrkhkrkhnkhkhhrhdnrndnknrrhdrdrkhdrkkhkrnkk",
"output": "YES\... | 140 | 0 | 3 | 1,770 | |
496 | Secret Combination | [
"brute force",
"constructive algorithms",
"implementation"
] | null | null | You got a box with a combination lock. The lock has a display showing *n* digits. There are two buttons on the box, each button changes digits on the display. You have quickly discovered that the first button adds 1 to all the digits (all digits 9 become digits 0), and the second button shifts all the digits on the dis... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of digits on the display.
The second line contains *n* digits — the initial state of the display. | Print a single line containing *n* digits — the desired state of the display containing the smallest possible number. | [
"3\n579\n",
"4\n2014\n"
] | [
"024\n",
"0142\n"
] | none | [
{
"input": "3\n579",
"output": "024"
},
{
"input": "4\n2014",
"output": "0142"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "3\n039",
"output": "014"
},
{
"input": "4\n4444",
"output": "0000"
},
{
"input": "5\n46802",
"output": "02468"
},
... | 2,000 | 4,505,600 | 0 | 1,771 | |
808 | Tea Party | [
"constructive algorithms",
"greedy",
"sortings"
] | null | null | Polycarp invited all his friends to the tea party to celebrate the holiday. He has *n* cups, one for each of his *n* friends, with volumes *a*1,<=*a*2,<=...,<=*a**n*. His teapot stores *w* milliliters of tea (*w*<=≤<=*a*1<=+<=*a*2<=+<=...<=+<=*a**n*). Polycarp wants to pour tea in cups in such a way that:
- Every cup... | The first line contains two integer numbers *n* and *w* (1<=≤<=*n*<=≤<=100, ).
The second line contains *n* numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100). | Output how many milliliters of tea every cup should contain. If there are multiple answers, print any of them.
If it's impossible to pour all the tea and satisfy all conditions then output -1. | [
"2 10\n8 7\n",
"4 4\n1 1 1 1\n",
"3 10\n9 8 10\n"
] | [
"6 4 \n",
"1 1 1 1 \n",
"-1\n"
] | In the third example you should pour to the first cup at least 5 milliliters, to the second one at least 4, to the third one at least 5. It sums up to 14, which is greater than 10 milliliters available. | [
{
"input": "2 10\n8 7",
"output": "6 4 "
},
{
"input": "4 4\n1 1 1 1",
"output": "1 1 1 1 "
},
{
"input": "3 10\n9 8 10",
"output": "-1"
},
{
"input": "1 1\n1",
"output": "1 "
},
{
"input": "1 1\n2",
"output": "1 "
},
{
"input": "1 10\n20",
"output... | 140 | 0 | 3 | 1,773 | |
363 | Fence | [
"brute force",
"dp"
] | null | null | There is a fence in front of Polycarpus's home. The fence consists of *n* planks of the same width which go one after another from left to right. The height of the *i*-th plank is *h**i* meters, distinct planks can have distinct heights.
Polycarpus has bought a posh piano and is thinking about how to get it into the h... | The first line of the input contains integers *n* and *k* (1<=≤<=*n*<=≤<=1.5·105,<=1<=≤<=*k*<=≤<=*n*) — the number of planks in the fence and the width of the hole for the piano. The second line contains the sequence of integers *h*1,<=*h*2,<=...,<=*h**n* (1<=≤<=*h**i*<=≤<=100), where *h**i* is the height of the *i*-th... | Print such integer *j* that the sum of the heights of planks *j*, *j*<=+<=1, ..., *j*<=+<=*k*<=-<=1 is the minimum possible. If there are multiple such *j*'s, print any of them. | [
"7 3\n1 2 6 1 1 7 1\n"
] | [
"3\n"
] | In the sample, your task is to find three consecutive planks with the minimum sum of heights. In the given case three planks with indexes 3, 4 and 5 have the required attribute, their total height is 8. | [
{
"input": "7 3\n1 2 6 1 1 7 1",
"output": "3"
},
{
"input": "1 1\n100",
"output": "1"
},
{
"input": "2 1\n10 20",
"output": "1"
},
{
"input": "10 5\n1 2 3 1 2 2 3 1 4 5",
"output": "1"
},
{
"input": "10 2\n3 1 4 1 4 6 2 1 4 6",
"output": "7"
},
{
"inp... | 1,000 | 5,734,400 | 0 | 1,782 | |
111 | Petya and Divisors | [
"binary search",
"data structures",
"number theory"
] | B. Petya and Divisors | 5 | 256 | Little Petya loves looking for numbers' divisors. One day Petya came across the following problem:
You are given *n* queries in the form "*x**i* *y**i*". For each query Petya should count how many divisors of number *x**i* divide none of the numbers *x**i*<=-<=*y**i*,<=*x**i*<=-<=*y**i*<=+<=1,<=...,<=*x**i*<=-<=1. Hel... | The first line contains an integer *n* (1<=≤<=*n*<=≤<=105). Each of the following *n* lines contain two space-separated integers *x**i* and *y**i* (1<=≤<=*x**i*<=≤<=105, 0<=≤<=*y**i*<=≤<=*i*<=-<=1, where *i* is the query's ordinal number; the numeration starts with 1).
If *y**i*<==<=0 for the query, then the answer t... | For each query print the answer on a single line: the number of positive integers *k* such that | [
"6\n4 0\n3 1\n5 2\n6 2\n18 4\n10000 3\n"
] | [
"3\n1\n1\n2\n2\n22\n"
] | Let's write out the divisors that give answers for the first 5 queries:
1) 1, 2, 4
2) 3
3) 5
4) 2, 6
5) 9, 18 | [
{
"input": "6\n4 0\n3 1\n5 2\n6 2\n18 4\n10000 3",
"output": "3\n1\n1\n2\n2\n22"
},
{
"input": "5\n10 0\n10 0\n10 0\n10 0\n10 0",
"output": "4\n4\n4\n4\n4"
},
{
"input": "12\n41684 0\n95210 1\n60053 1\n32438 3\n97956 1\n21785 2\n14594 6\n17170 4\n93937 6\n70764 5\n13695 4\n14552 6",
... | 3,806 | 12,595,200 | 3.59594 | 1,785 |
191 | Dynasty Puzzles | [
"dp"
] | null | null | The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the first letters of its name. Thus, the... | The first line contains integer *n* (1<=≤<=*n*<=≤<=5·105) — the number of names in Vasya's list. Next *n* lines contain *n* abbreviated names, one per line. An abbreviated name is a non-empty sequence of lowercase Latin letters. Its length does not exceed 10 characters. | Print a single number — length of the sought dynasty's name in letters.
If Vasya's list is wrong and no dynasty can be found there, print a single number 0. | [
"3\nabc\nca\ncba\n",
"4\nvvp\nvvp\ndam\nvvp\n",
"3\nab\nc\ndef\n"
] | [
"6\n",
"0\n",
"1\n"
] | In the first sample two dynasties can exist: the one called "abcca" (with the first and second kings) and the one called "abccba" (with the first and third kings).
In the second sample there aren't acceptable dynasties.
The only dynasty in the third sample consists of one king, his name is "c". | [
{
"input": "3\nabc\nca\ncba",
"output": "6"
},
{
"input": "4\nvvp\nvvp\ndam\nvvp",
"output": "0"
},
{
"input": "3\nab\nc\ndef",
"output": "1"
},
{
"input": "5\nab\nbc\ncd\nde\nffffffffff",
"output": "10"
},
{
"input": "5\ncab\nbbc\ncaa\nccc\naca",
"output": "9... | 2,000 | 11,673,600 | 0 | 1,787 | |
197 | Plate Game | [
"constructive algorithms",
"games",
"math"
] | null | null | You've got a rectangular table with length *a* and width *b* and the infinite number of plates of radius *r*. Two players play the following game: they take turns to put the plates on the table so that the plates don't lie on each other (but they can touch each other), and so that any point on any plate is located with... | A single line contains three space-separated integers *a*, *b*, *r* (1<=≤<=*a*,<=*b*,<=*r*<=≤<=100) — the table sides and the plates' radius, correspondingly. | If wins the player who moves first, print "First" (without the quotes). Otherwise print "Second" (without the quotes). | [
"5 5 2\n",
"6 7 4\n"
] | [
"First\n",
"Second\n"
] | In the first sample the table has place for only one plate. The first player puts a plate on the table, the second player can't do that and loses.
In the second sample the table is so small that it doesn't have enough place even for one plate. So the first player loses without making a single move. | [
{
"input": "5 5 2",
"output": "First"
},
{
"input": "6 7 4",
"output": "Second"
},
{
"input": "100 100 1",
"output": "First"
},
{
"input": "1 1 100",
"output": "Second"
},
{
"input": "13 7 3",
"output": "First"
},
{
"input": "23 7 3",
"output": "Fi... | 92 | 4,300,800 | 3 | 1,788 | |
429 | Working out | [
"dp"
] | null | null | Summer is coming! It's time for Iahub and Iahubina to work out, as they both want to look hot at the beach. The gym where they go is a matrix *a* with *n* lines and *m* columns. Let number *a*[*i*][*j*] represents the calories burned by performing workout at the cell of gym in the *i*-th line and the *j*-th column.
Ia... | The first line of the input contains two integers *n* and *m* (3<=≤<=*n*,<=*m*<=≤<=1000). Each of the next *n* lines contains *m* integers: *j*-th number from *i*-th line denotes element *a*[*i*][*j*] (0<=≤<=*a*[*i*][*j*]<=≤<=105). | The output contains a single number — the maximum total gain possible. | [
"3 3\n100 100 100\n100 1 100\n100 100 100\n"
] | [
"800"
] | Iahub will choose exercises *a*[1][1] → *a*[1][2] → *a*[2][2] → *a*[3][2] → *a*[3][3]. Iahubina will choose exercises *a*[3][1] → *a*[2][1] → *a*[2][2] → *a*[2][3] → *a*[1][3]. | [
{
"input": "3 3\n100 100 100\n100 1 100\n100 100 100",
"output": "800"
},
{
"input": "4 5\n87882 40786 3691 85313 46694\n28884 16067 3242 97367 78518\n4250 35501 9780 14435 19004\n64673 65438 56977 64495 27280",
"output": "747898"
},
{
"input": "3 3\n3 1 2\n3 2 0\n2 3 2",
"output": "... | 109 | 307,200 | 0 | 1,791 | |
716 | Complete the Word | [
"greedy",
"two pointers"
] | null | null | ZS the Coder loves to read the dictionary. He thinks that a word is nice if there exists a substring (contiguous segment of letters) of it of length 26 where each letter of English alphabet appears exactly once. In particular, if the string has length strictly less than 26, no such substring exists and thus it is not n... | The first and only line of the input contains a single string *s* (1<=≤<=|*s*|<=≤<=50<=000), the word that ZS the Coder remembers. Each character of the string is the uppercase letter of English alphabet ('A'-'Z') or is a question mark ('?'), where the question marks denotes the letters that ZS the Coder can't remember... | If there is no way to replace all the question marks with uppercase letters such that the resulting word is nice, then print <=-<=1 in the only line.
Otherwise, print a string which denotes a possible nice word that ZS the Coder learned. This string should match the string from the input, except for the question marks... | [
"ABC??FGHIJK???OPQR?TUVWXY?\n",
"WELCOMETOCODEFORCESROUNDTHREEHUNDREDANDSEVENTYTWO\n",
"??????????????????????????\n",
"AABCDEFGHIJKLMNOPQRSTUVW??M\n"
] | [
"ABCDEFGHIJKLMNOPQRZTUVWXYS",
"-1",
"MNBVCXZLKJHGFDSAQPWOEIRUYT",
"-1"
] | In the first sample case, ABCDEFGHIJKLMNOPQRZTUVWXYS is a valid answer beacuse it contains a substring of length 26 (the whole string in this case) which contains all the letters of the English alphabet exactly once. Note that there are many possible solutions, such as ABCDEFGHIJKLMNOPQRSTUVWXYZ or ABCEDFGHIJKLMNOPQRZT... | [
{
"input": "ABC??FGHIJK???OPQR?TUVWXY?",
"output": "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
},
{
"input": "WELCOMETOCODEFORCESROUNDTHREEHUNDREDANDSEVENTYTWO",
"output": "-1"
},
{
"input": "??????????????????????????",
"output": "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
},
{
"input": "AABCDEFGHIJKLMNO... | 124 | 21,504,000 | 0 | 1,797 | |
152 | Marks | [
"implementation"
] | null | null | Vasya, or Mr. Vasily Petrov is a dean of a department in a local university. After the winter exams he got his hands on a group's gradebook.
Overall the group has *n* students. They received marks for *m* subjects. Each student got a mark from 1 to 9 (inclusive) for each subject.
Let's consider a student the best at ... | The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of students and the number of subjects, correspondingly. Next *n* lines each containing *m* characters describe the gradebook. Each character in the gradebook is a number from 1 to 9. Note that the marks in a rows are not sepa... | Print the single number — the number of successful students in the given group. | [
"3 3\n223\n232\n112\n",
"3 5\n91728\n11828\n11111\n"
] | [
"2\n",
"3\n"
] | In the first sample test the student number 1 is the best at subjects 1 and 3, student 2 is the best at subjects 1 and 2, but student 3 isn't the best at any subject.
In the second sample test each student is the best at at least one subject. | [
{
"input": "3 3\n223\n232\n112",
"output": "2"
},
{
"input": "3 5\n91728\n11828\n11111",
"output": "3"
},
{
"input": "2 2\n48\n27",
"output": "1"
},
{
"input": "2 1\n4\n6",
"output": "1"
},
{
"input": "1 2\n57",
"output": "1"
},
{
"input": "1 1\n5",
... | 218 | 8,908,800 | 3 | 1,801 | |
371 | Fox Dividing Cheese | [
"math",
"number theory"
] | null | null | Two little greedy bears have found two pieces of cheese in the forest of weight *a* and *b* grams, correspondingly. The bears are so greedy that they are ready to fight for the larger piece. That's where the fox comes in and starts the dialog: "Little bears, wait a little, I want to make your pieces equal" "Come off it... | The first line contains two space-separated integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=109). | If the fox is lying to the little bears and it is impossible to make the pieces equal, print -1. Otherwise, print the required minimum number of operations. If the pieces of the cheese are initially equal, the required number is 0. | [
"15 20\n",
"14 8\n",
"6 6\n"
] | [
"3\n",
"-1\n",
"0\n"
] | none | [
{
"input": "15 20",
"output": "3"
},
{
"input": "14 8",
"output": "-1"
},
{
"input": "6 6",
"output": "0"
},
{
"input": "1 1",
"output": "0"
},
{
"input": "1 1024",
"output": "10"
},
{
"input": "1024 729",
"output": "16"
},
{
"input": "1024... | 46 | 0 | 0 | 1,802 | |
448 | Painting Fence | [
"divide and conquer",
"dp",
"greedy"
] | null | null | Bizon the Champion isn't just attentive, he also is very hardworking.
Bizon the Champion decided to paint his old fence his favorite color, orange. The fence is represented as *n* vertical planks, put in a row. Adjacent planks have no gap between them. The planks are numbered from the left to the right starting from o... | The first line contains integer *n* (1<=≤<=*n*<=≤<=5000) — the number of fence planks. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109). | Print a single integer — the minimum number of strokes needed to paint the whole fence. | [
"5\n2 2 1 2 1\n",
"2\n2 2\n",
"1\n5\n"
] | [
"3\n",
"2\n",
"1\n"
] | In the first sample you need to paint the fence in three strokes with the brush: the first stroke goes on height 1 horizontally along all the planks. The second stroke goes on height 2 horizontally and paints the first and second planks and the third stroke (it can be horizontal and vertical) finishes painting the four... | [
{
"input": "5\n2 2 1 2 1",
"output": "3"
},
{
"input": "2\n2 2",
"output": "2"
},
{
"input": "1\n5",
"output": "1"
},
{
"input": "5\n2 2 1 2 2",
"output": "3"
},
{
"input": "5\n2 2 1 5 1",
"output": "3"
},
{
"input": "1\n1",
"output": "1"
},
{
... | 1,000 | 512,000 | 0 | 1,807 | |
922 | Cloning Toys | [
"implementation"
] | null | null | Imp likes his plush toy a lot.
Recently, he found a machine that can clone plush toys. Imp knows that if he applies the machine to an original toy, he additionally gets one more original toy and one copy, and if he applies the machine to a copied toy, he gets two additional copies.
Initially, Imp has only one origina... | The only line contains two integers *x* and *y* (0<=≤<=*x*,<=*y*<=≤<=109) — the number of copies and the number of original toys Imp wants to get (including the initial one). | Print "Yes", if the desired configuration is possible, and "No" otherwise.
You can print each letter in arbitrary case (upper or lower). | [
"6 3\n",
"4 2\n",
"1000 1001\n"
] | [
"Yes\n",
"No\n",
"Yes\n"
] | In the first example, Imp has to apply the machine twice to original toys and then twice to copies. | [
{
"input": "6 3",
"output": "Yes"
},
{
"input": "4 2",
"output": "No"
},
{
"input": "1000 1001",
"output": "Yes"
},
{
"input": "1000000000 999999999",
"output": "Yes"
},
{
"input": "81452244 81452247",
"output": "No"
},
{
"input": "188032448 86524683",... | 77 | 6,758,400 | 0 | 1,812 | |
135 | Replacement | [
"greedy",
"implementation",
"sortings"
] | null | null | Little Petya very much likes arrays consisting of *n* integers, where each of them is in the range from 1 to 109, inclusive. Recently he has received one such array as a gift from his mother. Petya didn't like it at once. He decided to choose exactly one element from the array and replace it with another integer that a... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105), which represents how many numbers the array has. The next line contains *n* space-separated integers — the array's description. All elements of the array lie in the range from 1 to 109, inclusive. | Print *n* space-separated integers — the minimum possible values of each array element after one replacement and the sorting are performed. | [
"5\n1 2 3 4 5\n",
"5\n2 3 4 5 6\n",
"3\n2 2 2\n"
] | [
"1 1 2 3 4\n",
"1 2 3 4 5\n",
"1 2 2\n"
] | none | [
{
"input": "5\n1 2 3 4 5",
"output": "1 1 2 3 4"
},
{
"input": "5\n2 3 4 5 6",
"output": "1 2 3 4 5"
},
{
"input": "3\n2 2 2",
"output": "1 2 2"
},
{
"input": "4\n1 1 2 3",
"output": "1 1 1 2"
},
{
"input": "3\n1 1 1",
"output": "1 1 2"
},
{
"input": "... | 278 | 0 | 0 | 1,815 | |
525 | Vitaliy and Pie | [
"greedy",
"hashing",
"strings"
] | null | null | After a hard day Vitaly got very hungry and he wants to eat his favorite potato pie. But it's not that simple. Vitaly is in the first room of the house with *n* room located in a line and numbered starting from one from left to right. You can go from the first room to the second room, from the second room to the third ... | The first line of the input contains a positive integer *n* (2<=≤<=*n*<=≤<=105) — the number of rooms in the house.
The second line of the input contains string *s* of length 2·*n*<=-<=2. Let's number the elements of the string from left to right, starting from one.
The odd positions in the given string *s* contain ... | Print the only integer — the minimum number of keys that Vitaly needs to buy to surely get from room one to room *n*. | [
"3\naAbB\n",
"4\naBaCaB\n",
"5\nxYyXzZaZ\n"
] | [
"0\n",
"3\n",
"2\n"
] | none | [
{
"input": "3\naAbB",
"output": "0"
},
{
"input": "4\naBaCaB",
"output": "3"
},
{
"input": "5\nxYyXzZaZ",
"output": "2"
},
{
"input": "26\naAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyY",
"output": "0"
},
{
"input": "26\nzAyBxCwDvEuFtGsHrIqJpKoLnMmNlOkPjQiRhSg... | 343 | 1,126,400 | 3 | 1,820 | |
0 | none | [
"none"
] | null | null | Some time ago Slastyona the Sweetmaid decided to open her own bakery! She bought required ingredients and a wonder-oven which can bake several types of cakes, and opened the bakery.
Soon the expenses started to overcome the income, so Slastyona decided to study the sweets market. She learned it's profitable to pack ca... | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=35000, 1<=≤<=*k*<=≤<=*min*(*n*,<=50)) – the number of cakes and the number of boxes, respectively.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*) – the types of cakes in the order the oven bakes them. | Print the only integer – the maximum total value of all boxes with cakes. | [
"4 1\n1 2 2 1\n",
"7 2\n1 3 3 1 4 4 4\n",
"8 3\n7 7 8 7 7 8 1 7\n"
] | [
"2\n",
"5\n",
"6\n"
] | In the first example Slastyona has only one box. She has to put all cakes in it, so that there are two types of cakes in the box, so the value is equal to 2.
In the second example it is profitable to put the first two cakes in the first box, and all the rest in the second. There are two distinct types in the first box... | [] | 46 | 0 | 0 | 1,824 | |
665 | Shopping | [
"brute force"
] | null | null | Ayush is a cashier at the shopping center. Recently his department has started a ''click and collect" service which allows users to shop online.
The store contains *k* items. *n* customers have already used the above service. Each user paid for *m* items. Let *a**ij* denote the *j*-th item in the *i*-th person's orde... | The first line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*k*<=≤<=100,<=1<=≤<=*m*<=≤<=*k*) — the number of users, the number of items each user wants to buy and the total number of items at the market.
The next line contains *k* distinct integers *p**l* (1<=≤<=*p**l*<=≤<=*k*) denoting the initial positions ... | Print the only integer *t* — the total time needed for Ayush to process all the orders. | [
"2 2 5\n3 4 1 2 5\n1 5\n3 1\n"
] | [
"14\n"
] | Customer 1 wants the items 1 and 5.
*pos*(1) = 3, so the new positions are: [1, 3, 4, 2, 5].
*pos*(5) = 5, so the new positions are: [5, 1, 3, 4, 2].
Time taken for the first customer is 3 + 5 = 8.
Customer 2 wants the items 3 and 1.
*pos*(3) = 3, so the new positions are: [3, 5, 1, 4, 2].
*pos*(1) = 3, so the ne... | [
{
"input": "2 2 5\n3 4 1 2 5\n1 5\n3 1",
"output": "14"
},
{
"input": "4 4 4\n1 2 3 4\n3 4 2 1\n4 3 2 1\n4 1 2 3\n4 1 2 3",
"output": "59"
},
{
"input": "1 1 1\n1\n1",
"output": "1"
},
{
"input": "10 1 100\n1 55 67 75 40 86 24 84 82 26 81 23 70 79 51 54 21 78 31 98 68 93 66 8... | 78 | 4,608,000 | 3 | 1,827 | |
133 | HQ9+ | [
"implementation"
] | null | null | HQ9+ is a joke programming language which has only four one-character instructions:
- "H" prints "Hello, World!",- "Q" prints the source code of the program itself,- "9" prints the lyrics of "99 Bottles of Beer" song, - "+" increments the value stored in the internal accumulator.
Instructions "H" and "Q" are case-s... | The input will consist of a single line *p* which will give a program in HQ9+. String *p* will contain between 1 and 100 characters, inclusive. ASCII-code of each character of *p* will be between 33 (exclamation mark) and 126 (tilde), inclusive. | Output "YES", if executing the program will produce any output, and "NO" otherwise. | [
"Hi!\n",
"Codeforces\n"
] | [
"YES\n",
"NO\n"
] | In the first case the program contains only one instruction — "H", which prints "Hello, World!".
In the second case none of the program characters are language instructions. | [
{
"input": "Hi!",
"output": "YES"
},
{
"input": "Codeforces",
"output": "NO"
},
{
"input": "a+b=c",
"output": "NO"
},
{
"input": "hq-lowercase",
"output": "NO"
},
{
"input": "Q",
"output": "YES"
},
{
"input": "9",
"output": "YES"
},
{
"inpu... | 92 | 0 | 0 | 1,829 | |
1,006 | Two Strings Swaps | [
"implementation"
] | null | null | You are given two strings $a$ and $b$ consisting of lowercase English letters, both of length $n$. The characters of both strings have indices from $1$ to $n$, inclusive.
You are allowed to do the following changes:
- Choose any index $i$ ($1 \le i \le n$) and swap characters $a_i$ and $b_i$; - Choose any index $... | The first line of the input contains one integer $n$ ($1 \le n \le 10^5$) — the length of strings $a$ and $b$.
The second line contains the string $a$ consisting of exactly $n$ lowercase English letters.
The third line contains the string $b$ consisting of exactly $n$ lowercase English letters. | Print a single integer — the minimum number of preprocess moves to apply before changes, so that it is possible to make the string $a$ equal to string $b$ with a sequence of changes from the list above. | [
"7\nabacaba\nbacabaa\n",
"5\nzcabd\ndbacz\n"
] | [
"4\n",
"0\n"
] | In the first example preprocess moves are as follows: $a_1 := $'b', $a_3 := $'c', $a_4 := $'a' and $a_5:=$'b'. Afterwards, $a = $"bbcabba". Then we can obtain equal strings by the following sequence of changes: $swap(a_2, b_2)$ and $swap(a_2, a_6)$. There is no way to use fewer than $4$ preprocess moves before a sequen... | [
{
"input": "7\nabacaba\nbacabaa",
"output": "4"
},
{
"input": "5\nzcabd\ndbacz",
"output": "0"
},
{
"input": "1\na\nb",
"output": "1"
},
{
"input": "5\nahmad\nyogaa",
"output": "3"
}
] | 140 | 7,168,000 | 0 | 1,830 | |
349 | Color the Fence | [
"data structures",
"dp",
"greedy",
"implementation"
] | null | null | Igor has fallen in love with Tanya. Now Igor wants to show his feelings and write a number on the fence opposite to Tanya's house. Igor thinks that the larger the number is, the more chance to win Tanya's heart he has.
Unfortunately, Igor could only get *v* liters of paint. He did the math and concluded that digit *d... | The first line contains a positive integer *v* (0<=≤<=*v*<=≤<=106). The second line contains nine positive integers *a*1,<=*a*2,<=...,<=*a*9 (1<=≤<=*a**i*<=≤<=105). | Print the maximum number Igor can write on the fence. If he has too little paint for any digit (so, he cannot write anything), print -1. | [
"5\n5 4 3 2 1 2 3 4 5\n",
"2\n9 11 1 12 5 8 9 10 6\n",
"0\n1 1 1 1 1 1 1 1 1\n"
] | [
"55555\n",
"33\n",
"-1\n"
] | none | [
{
"input": "5\n5 4 3 2 1 2 3 4 5",
"output": "55555"
},
{
"input": "2\n9 11 1 12 5 8 9 10 6",
"output": "33"
},
{
"input": "0\n1 1 1 1 1 1 1 1 1",
"output": "-1"
},
{
"input": "50\n5 3 10 2 2 4 3 6 5",
"output": "5555555555555555555555555"
},
{
"input": "22\n405 3... | 156 | 204,800 | 0 | 1,831 | |
204 | Little Elephant and Interval | [
"binary search",
"combinatorics",
"dp"
] | null | null | The Little Elephant very much loves sums on intervals.
This time he has a pair of integers *l* and *r* (*l*<=≤<=*r*). The Little Elephant has to find the number of such integers *x* (*l*<=≤<=*x*<=≤<=*r*), that the first digit of integer *x* equals the last one (in decimal notation). For example, such numbers as 101, 4... | The single line contains a pair of integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=1018) — the boundaries of the interval.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier. | On a single line print a single integer — the answer to the problem. | [
"2 47\n",
"47 1024\n"
] | [
"12\n",
"98\n"
] | In the first sample the answer includes integers 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44. | [
{
"input": "2 47",
"output": "12"
},
{
"input": "47 1024",
"output": "98"
},
{
"input": "1 1000",
"output": "108"
},
{
"input": "1 10000",
"output": "1008"
},
{
"input": "47 8545",
"output": "849"
},
{
"input": "1000 1000",
"output": "0"
},
{
... | 312 | 20,172,800 | 3 | 1,837 | |
935 | Fafa and his Company | [
"brute force",
"implementation"
] | null | null | Fafa owns a company that works on huge projects. There are *n* employees in Fafa's company. Whenever the company has a new project to start working on, Fafa has to divide the tasks of this project among all the employees.
Fafa finds doing this every time is very tiring for him. So, he decided to choose the best *l* em... | The input consists of a single line containing a positive integer *n* (2<=≤<=*n*<=≤<=105) — the number of employees in Fafa's company. | Print a single integer representing the answer to the problem. | [
"2\n",
"10\n"
] | [
"1\n",
"3\n"
] | In the second sample Fafa has 3 ways:
- choose only 1 employee as a team leader with 9 employees under his responsibility. - choose 2 employees as team leaders with 4 employees under the responsibility of each of them. - choose 5 employees as team leaders with 1 employee under the responsibility of each of them. | [
{
"input": "2",
"output": "1"
},
{
"input": "10",
"output": "3"
},
{
"input": "3",
"output": "1"
},
{
"input": "4",
"output": "2"
},
{
"input": "6",
"output": "3"
},
{
"input": "13",
"output": "1"
},
{
"input": "100000",
"output": "35"
... | 46 | 0 | 3 | 1,839 | |
0 | none | [
"none"
] | null | null | Карта звёздного неба представляет собой прямоугольное поле, состоящее из *n* строк по *m* символов в каждой строке. Каждый символ — это либо «.» (означает пустой участок неба), либо «*» (означает то, что в этом месте на небе есть звезда).
Новое издание карты звёздного неба будет напечатано на квадратных листах, поэто... | В первой строке входных данных записаны два числа *n* и *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — количество строк и столбцов на карте звездного неба.
В следующих *n* строках задано по *m* символов. Каждый символ — это либо «.» (пустой участок неба), либо «*» (звезда).
Гарантируется, что на небе есть хотя бы одна звезда. | Выведите одно число — минимально возможную сторону квадрата, которым можно накрыть все звезды. | [
"4 4\n....\n..*.\n...*\n..**\n",
"1 3\n*.*\n",
"2 1\n.\n*\n"
] | [
"3\n",
"3\n",
"1\n"
] | Один из возможных ответов на первый тестовый пример:
Один из возможных ответов на второй тестовый пример (обратите внимание, что покрывающий квадрат выходит за пределы карты звездного неба):
Ответ на третий тестовый пример: | [
{
"input": "4 4\n....\n..*.\n...*\n..**",
"output": "3"
},
{
"input": "1 3\n*.*",
"output": "3"
},
{
"input": "2 1\n.\n*",
"output": "1"
},
{
"input": "1 1\n*",
"output": "1"
},
{
"input": "1 2\n.*",
"output": "1"
},
{
"input": "1 2\n*.",
"output":... | 1,000 | 34,816,000 | 0 | 1,840 | |
143 | Help Vasilisa the Wise 2 | [
"brute force",
"math"
] | null | null | Vasilisa the Wise from the Kingdom of Far Far Away got a magic box with a secret as a present from her friend Hellawisa the Wise from the Kingdom of A Little Closer. However, Vasilisa the Wise does not know what the box's secret is, since she cannot open it again. She hopes that you will help her one more time with tha... | The input contains numbers written on the edges of the lock of the box. The first line contains space-separated integers *r*1 and *r*2 that define the required sums of numbers in the rows of the square. The second line contains space-separated integers *c*1 and *c*2 that define the required sums of numbers in the colum... | Print the scheme of decorating the box with stones: two lines containing two space-separated integers from 1 to 9. The numbers should be pairwise different. If there is no solution for the given lock, then print the single number "-1" (without the quotes).
If there are several solutions, output any. | [
"3 7\n4 6\n5 5\n",
"11 10\n13 8\n5 16\n",
"1 2\n3 4\n5 6\n",
"10 10\n10 10\n10 10\n"
] | [
"1 2\n3 4\n",
"4 7\n9 1\n",
"-1\n",
"-1\n"
] | Pay attention to the last test from the statement: it is impossible to open the box because for that Vasilisa the Wise would need 4 identical gems containing number "5". However, Vasilisa only has one gem with each number from 1 to 9. | [
{
"input": "3 7\n4 6\n5 5",
"output": "1 2\n3 4"
},
{
"input": "11 10\n13 8\n5 16",
"output": "4 7\n9 1"
},
{
"input": "1 2\n3 4\n5 6",
"output": "-1"
},
{
"input": "10 10\n10 10\n10 10",
"output": "-1"
},
{
"input": "5 13\n8 10\n11 7",
"output": "3 2\n5 8"
... | 216 | 307,200 | 0 | 1,843 | |
576 | Vasya and Petya's Game | [
"math",
"number theory"
] | null | null | Vasya and Petya are playing a simple game. Vasya thought of number *x* between 1 and *n*, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number *y*?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can a... | A single line contains number *n* (1<=≤<=*n*<=≤<=103). | Print the length of the sequence of questions *k* (0<=≤<=*k*<=≤<=*n*), followed by *k* numbers — the questions *y**i* (1<=≤<=*y**i*<=≤<=*n*).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them. | [
"4\n",
"6\n"
] | [
"3\n2 4 3 \n",
"4\n2 4 3 5 \n"
] | The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Th... | [
{
"input": "4",
"output": "3\n2 4 3 "
},
{
"input": "6",
"output": "4\n2 4 3 5 "
},
{
"input": "1",
"output": "0"
},
{
"input": "15",
"output": "9\n2 4 8 3 9 5 7 11 13 "
},
{
"input": "19",
"output": "12\n2 4 8 16 3 9 5 7 11 13 17 19 "
},
{
"input": "2... | 140 | 0 | 0 | 1,852 | |
0 | none | [
"none"
] | null | null | As usual, Sereja has array *a*, its elements are integers: *a*[1],<=*a*[2],<=...,<=*a*[*n*]. Let's introduce notation:
A swap operation is the following sequence of actions:
- choose two indexes *i*,<=*j* (*i*<=≠<=*j*); - perform assignments *tmp*<==<=*a*[*i*],<=*a*[*i*]<==<=*a*[*j*],<=*a*[*j*]<==<=*tmp*.
What max... | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=200; 1<=≤<=*k*<=≤<=10). The next line contains *n* integers *a*[1], *a*[2], ..., *a*[*n*] (<=-<=1000<=≤<=*a*[*i*]<=≤<=1000). | In a single line print the maximum value of *m*(*a*) that Sereja can get if he is allowed to perform at most *k* swap operations. | [
"10 2\n10 -1 2 2 2 2 2 2 -1 10\n",
"5 10\n-1 -1 -1 -1 -1\n"
] | [
"32\n",
"-1\n"
] | none | [
{
"input": "10 2\n10 -1 2 2 2 2 2 2 -1 10",
"output": "32"
},
{
"input": "5 10\n-1 -1 -1 -1 -1",
"output": "-1"
},
{
"input": "18 1\n166 788 276 -103 -491 195 -960 389 376 369 630 285 3 575 315 -987 820 466",
"output": "5016"
},
{
"input": "29 6\n-21 486 -630 -433 -123 -387 6... | 904 | 307,200 | 0 | 1,853 | |
873 | Balanced Substring | [
"dp",
"implementation"
] | null | null | You are given a string *s* consisting only of characters 0 and 1. A substring [*l*,<=*r*] of *s* is a string *s**l**s**l*<=+<=1*s**l*<=+<=2... *s**r*, and its length equals to *r*<=-<=*l*<=+<=1. A substring is called balanced if the number of zeroes (0) equals to the number of ones in this substring.
You have to deter... | The first line contains *n* (1<=≤<=*n*<=≤<=100000) — the number of characters in *s*.
The second line contains a string *s* consisting of exactly *n* characters. Only characters 0 and 1 can appear in *s*. | If there is no non-empty balanced substring in *s*, print 0. Otherwise, print the length of the longest balanced substring. | [
"8\n11010111\n",
"3\n111\n"
] | [
"4\n",
"0\n"
] | In the first example you can choose the substring [3, 6]. It is balanced, and its length is 4. Choosing the substring [2, 5] is also possible.
In the second example it's impossible to find a non-empty balanced substring. | [
{
"input": "8\n11010111",
"output": "4"
},
{
"input": "3\n111",
"output": "0"
},
{
"input": "11\n00001000100",
"output": "2"
},
{
"input": "10\n0100000000",
"output": "2"
},
{
"input": "13\n0001000011010",
"output": "6"
},
{
"input": "14\n0000010010101... | 124 | 14,233,600 | 3 | 1,858 | |
118 | String Task | [
"implementation",
"strings"
] | null | null | Petya started to attend programming lessons. On the first lesson his task was to write a simple program. The program was supposed to do the following: in the given string, consisting if uppercase and lowercase Latin letters, it:
- deletes all the vowels, - inserts a character "." before each consonant, - replaces ... | The first line represents input string of Petya's program. This string only consists of uppercase and lowercase Latin letters and its length is from 1 to 100, inclusive. | Print the resulting string. It is guaranteed that this string is not empty. | [
"tour\n",
"Codeforces\n",
"aBAcAba\n"
] | [
".t.r\n",
".c.d.f.r.c.s\n",
".b.c.b\n"
] | none | [
{
"input": "tour",
"output": ".t.r"
},
{
"input": "Codeforces",
"output": ".c.d.f.r.c.s"
},
{
"input": "aBAcAba",
"output": ".b.c.b"
},
{
"input": "obn",
"output": ".b.n"
},
{
"input": "wpwl",
"output": ".w.p.w.l"
},
{
"input": "ggdvq",
"output": "... | 216 | 0 | 0 | 1,862 | |
33 | Wonderful Randomized Sum | [
"greedy"
] | C. Wonderful Randomized Sum | 2 | 256 | Learn, learn and learn again — Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students large and difficult homework. Despite th... | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — amount of elements in the sequence. The second line contains *n* integers *a**i* (<=-<=104<=≤<=*a**i*<=≤<=104) — the sequence itself. | The first and the only line of the output should contain the answer to the problem. | [
"3\n-1 -2 -3\n",
"5\n-4 2 0 5 0\n",
"5\n-1 10 -5 10 -2\n"
] | [
"6\n",
"11\n",
"18\n"
] | none | [
{
"input": "3\n-1 -2 -3",
"output": "6"
},
{
"input": "5\n-4 2 0 5 0",
"output": "11"
},
{
"input": "5\n-1 10 -5 10 -2",
"output": "18"
},
{
"input": "1\n-3",
"output": "3"
},
{
"input": "4\n1 4 -5 -2",
"output": "12"
},
{
"input": "7\n-17 6 5 0 1 4 -1... | 92 | 0 | -1 | 1,864 |
1,006 | Military Problem | [
"dfs and similar",
"graphs",
"trees"
] | null | null | In this problem you will have to help Berland army with organizing their command delivery system.
There are $n$ officers in Berland army. The first officer is the commander of the army, and he does not have any superiors. Every other officer has exactly one direct superior. If officer $a$ is the direct superior of off... | The first line of the input contains two integers $n$ and $q$ ($2 \le n \le 2 \cdot 10^5, 1 \le q \le 2 \cdot 10^5$) — the number of officers in Berland army and the number of queries.
The second line of the input contains $n - 1$ integers $p_2, p_3, \dots, p_n$ ($1 \le p_i < i$), where $p_i$ is the index of the di... | Print $q$ numbers, where the $i$-th number is the officer at the position $k_i$ in the list which describes the order in which officers will receive the command if it starts spreading from officer $u_i$. Print "-1" if the number of officers which receive the command is less than $k_i$.
You should process queries indep... | [
"9 6\n1 1 1 3 5 3 5 7\n3 1\n1 5\n3 4\n7 3\n1 8\n1 9\n"
] | [
"3\n6\n8\n-1\n9\n4\n"
] | none | [
{
"input": "9 6\n1 1 1 3 5 3 5 7\n3 1\n1 5\n3 4\n7 3\n1 8\n1 9",
"output": "3\n6\n8\n-1\n9\n4"
},
{
"input": "2 1\n1\n1 1",
"output": "1"
},
{
"input": "13 12\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1",
"output": "1\n1\n1\n1\n1\n1\n1\n1\n1\n... | 1,964 | 20,480,000 | 3 | 1,869 | |
682 | Alyona and the Tree | [
"dfs and similar",
"dp",
"graphs",
"trees"
] | null | null | Alyona decided to go on a diet and went to the forest to get some apples. There she unexpectedly found a magic rooted tree with root in the vertex 1, every vertex and every edge of which has a number written on.
The girl noticed that some of the tree's vertices are sad, so she decided to play with them. Let's call ver... | In the first line of the input integer *n* (1<=≤<=*n*<=≤<=105) is given — the number of vertices in the tree.
In the second line the sequence of *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) is given, where *a**i* is the number written on vertex *i*.
The next *n*<=-<=1 lines describe tree edges: *i**... | Print the only integer — the minimum number of leaves Alyona needs to remove such that there will be no any sad vertex left in the tree. | [
"9\n88 22 83 14 95 91 98 53 11\n3 24\n7 -8\n1 67\n1 64\n9 65\n5 12\n6 -80\n3 8\n"
] | [
"5\n"
] | The following image represents possible process of removing leaves from the tree: | [
{
"input": "9\n88 22 83 14 95 91 98 53 11\n3 24\n7 -8\n1 67\n1 64\n9 65\n5 12\n6 -80\n3 8",
"output": "5"
},
{
"input": "6\n53 82 15 77 71 23\n5 -77\n6 -73\n2 0\n1 26\n4 -92",
"output": "0"
},
{
"input": "10\n99 60 68 46 51 11 96 41 48 99\n4 50\n6 -97\n3 -92\n7 1\n9 99\n2 79\n1 -15\n8 -6... | 607 | 20,582,400 | -1 | 1,871 | |
644 | Processing Queries | [
"*special",
"constructive algorithms",
"data structures",
"two pointers"
] | null | null | In this problem you have to simulate the workflow of one-thread server. There are *n* queries to process, the *i*-th will be received at moment *t**i* and needs to be processed for *d**i* units of time. All *t**i* are guaranteed to be distinct.
When a query appears server may react in three possible ways:
1. If ser... | The first line of the input contains two integers *n* and *b* (1<=≤<=*n*,<=*b*<=≤<=200<=000) — the number of queries and the maximum possible size of the query queue.
Then follow *n* lines with queries descriptions (in chronological order). Each description consists of two integers *t**i* and *d**i* (1<=≤<=*t**i*,<=*d... | Print the sequence of *n* integers *e*1,<=*e*2,<=...,<=*e**n*, where *e**i* is the moment the server will finish to process the *i*-th query (queries are numbered in the order they appear in the input) or <=-<=1 if the corresponding query will be rejected. | [
"5 1\n2 9\n4 8\n10 9\n15 2\n19 1\n",
"4 1\n2 8\n4 8\n10 9\n15 2\n"
] | [
"11 19 -1 21 22 \n",
"10 18 27 -1 \n"
] | Consider the first sample.
1. The server will start to process first query at the moment 2 and will finish to process it at the moment 11. 1. At the moment 4 second query appears and proceeds to the queue. 1. At the moment 10 third query appears. However, the server is still busy with query 1, *b* = 1 and there is... | [
{
"input": "5 1\n2 9\n4 8\n10 9\n15 2\n19 1",
"output": "11 19 -1 21 22 "
},
{
"input": "4 1\n2 8\n4 8\n10 9\n15 2",
"output": "10 18 27 -1 "
},
{
"input": "1 1\n1000000000 1000000000",
"output": "2000000000 "
},
{
"input": "4 3\n999999996 1000000000\n999999997 1000000000\n99... | 1,950 | 16,384,000 | 0 | 1,872 | |
864 | Polycarp and Letters | [
"brute force",
"implementation",
"strings"
] | null | null | Polycarp loves lowercase letters and dislikes uppercase ones. Once he got a string *s* consisting only of lowercase and uppercase Latin letters.
Let *A* be a set of positions in the string. Let's call it pretty if following conditions are met:
- letters on positions from *A* in the string are all distinct and lowerc... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=200) — length of string *s*.
The second line contains a string *s* consisting of lowercase and uppercase Latin letters. | Print maximum number of elements in pretty set of positions for string *s*. | [
"11\naaaaBaabAbA\n",
"12\nzACaAbbaazzC\n",
"3\nABC\n"
] | [
"2\n",
"3\n",
"0\n"
] | In the first example the desired positions might be 6 and 8 or 7 and 8. Positions 6 and 7 contain letters 'a', position 8 contains letter 'b'. The pair of positions 1 and 8 is not suitable because there is an uppercase letter 'B' between these position.
In the second example desired positions can be 7, 8 and 11. There... | [
{
"input": "11\naaaaBaabAbA",
"output": "2"
},
{
"input": "12\nzACaAbbaazzC",
"output": "3"
},
{
"input": "3\nABC",
"output": "0"
},
{
"input": "1\na",
"output": "1"
},
{
"input": "2\naz",
"output": "2"
},
{
"input": "200\nXbTJZqcbpYuZQEoUrbxlPXAPCtVLr... | 109 | 0 | 0 | 1,873 | |
409 | 000001 | [
"*special"
] | null | null | The input contains a single integer *a* (1<=≤<=*a*<=≤<=64).
Output a single integer. | The input contains a single integer *a* (1<=≤<=*a*<=≤<=64). | Output a single integer. | [
"2\n",
"4\n",
"27\n",
"42\n"
] | [
"1\n",
"2\n",
"5\n",
"6\n"
] | none | [
{
"input": "2",
"output": "1"
},
{
"input": "4",
"output": "2"
},
{
"input": "27",
"output": "5"
},
{
"input": "42",
"output": "6"
},
{
"input": "1",
"output": "1"
},
{
"input": "3",
"output": "1"
},
{
"input": "64",
"output": "267"
}... | 62 | 0 | 3 | 1,875 | |
575 | Tablecity | [
"constructive algorithms",
"implementation"
] | null | null | There was a big bank robbery in Tablecity. In order to catch the thief, the President called none other than Albert – Tablecity’s Chief of Police. Albert does not know where the thief is located, but he does know how he moves.
Tablecity can be represented as 1000<=×<=2 grid, where every cell represents one district. E... | There is no input for this problem. | The first line of output contains integer *N* – duration of police search in hours. Each of the following *N* lines contains exactly 4 integers *X**i*1, *Y**i*1, *X**i*2, *Y**i*2 separated by spaces, that represent 2 districts (*X**i*1, *Y**i*1), (*X**i*2, *Y**i*2) which got investigated during i-th hour. Output is giv... | [
"В этой задаче нет примеров ввода-вывода.\nThis problem doesn't have sample input and output."
] | [
"Смотрите замечание ниже.\nSee the note below."
] | Let's consider the following output:
2
5 1 50 2
8 1 80 2
This output is not guaranteed to catch the thief and is not correct. It is given to you only to show the expected output format. There exists a combination of an initial position and a movement strategy such that the police will not catch the thief.
Consider... | [
{
"input": "dummy",
"output": "2000\n1 1 1 2\n2 1 2 2\n3 1 3 2\n4 1 4 2\n5 1 5 2\n6 1 6 2\n7 1 7 2\n8 1 8 2\n9 1 9 2\n10 1 10 2\n11 1 11 2\n12 1 12 2\n13 1 13 2\n14 1 14 2\n15 1 15 2\n16 1 16 2\n17 1 17 2\n18 1 18 2\n19 1 19 2\n20 1 20 2\n21 1 21 2\n22 1 22 2\n23 1 23 2\n24 1 24 2\n25 1 25 2\n26 1 26 2\n27 ... | 124 | 2,560,000 | 0 | 1,876 | |
465 | inc ARG | [
"implementation"
] | null | null | Sergey is testing a next-generation processor. Instead of bytes the processor works with memory cells consisting of *n* bits. These bits are numbered from 1 to *n*. An integer is stored in the cell in the following way: the least significant bit is stored in the first bit of the cell, the next significant bit is stored... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of bits in the cell.
The second line contains a string consisting of *n* characters — the initial state of the cell. The first character denotes the state of the first bit of the cell. The second character denotes the second least significan... | Print a single integer — the number of bits in the cell which change their state after we add 1 to the cell. | [
"4\n1100\n",
"4\n1111\n"
] | [
"3\n",
"4\n"
] | In the first sample the cell ends up with value 0010, in the second sample — with 0000. | [
{
"input": "4\n1100",
"output": "3"
},
{
"input": "4\n1111",
"output": "4"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "2\n00",
"output": "1"
},
{
"input": "2\n01",
"output": "1"
},
{
"input": "2\n1... | 78 | 0 | 3 | 1,877 | |
777 | Cloud of Hashtags | [
"binary search",
"greedy",
"implementation",
"strings"
] | null | null | Vasya is an administrator of a public page of organization "Mouse and keyboard" and his everyday duty is to publish news from the world of competitive programming. For each news he also creates a list of hashtags to make searching for a particular topic more comfortable. For the purpose of this problem we define hashta... | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=500<=000) — the number of hashtags being edited now.
Each of the next *n* lines contains exactly one hashtag of positive length.
It is guaranteed that the total length of all hashtags (i.e. the total length of the string except for characters '#... | Print the resulting hashtags in any of the optimal solutions. | [
"3\n#book\n#bigtown\n#big\n",
"3\n#book\n#cool\n#cold\n",
"4\n#car\n#cart\n#art\n#at\n",
"3\n#apple\n#apple\n#fruit\n"
] | [
"#b\n#big\n#big\n",
"#book\n#co\n#cold\n",
"#\n#\n#art\n#at\n",
"#apple\n#apple\n#fruit\n"
] | Word *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*m*</sub> of length *m* is lexicographically not greater than word *b*<sub class="lower-index">1</sub>, *b*<sub class="lower-index">2</sub>, ..., *b*<sub class="lower-index">*k*</sub> of length *k*, if one of... | [
{
"input": "3\n#book\n#bigtown\n#big",
"output": "#b\n#big\n#big"
},
{
"input": "3\n#book\n#cool\n#cold",
"output": "#book\n#co\n#cold"
},
{
"input": "4\n#car\n#cart\n#art\n#at",
"output": "#\n#\n#art\n#at"
},
{
"input": "3\n#apple\n#apple\n#fruit",
"output": "#apple\n#ap... | 2,000 | 41,369,600 | 0 | 1,883 | |
658 | Bear and Reverse Radewoosh | [
"implementation"
] | null | null | Limak and Radewoosh are going to compete against each other in the upcoming algorithmic contest. They are equally skilled but they won't solve problems in the same order.
There will be *n* problems. The *i*-th problem has initial score *p**i* and it takes exactly *t**i* minutes to solve it. Problems are sorted by diff... | The first line contains two integers *n* and *c* (1<=≤<=*n*<=≤<=50,<=1<=≤<=*c*<=≤<=1000) — the number of problems and the constant representing the speed of loosing points.
The second line contains *n* integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=1000,<=*p**i*<=<<=*p**i*<=+<=1) — initial scores.
The third... | Print "Limak" (without quotes) if Limak will get more points in total. Print "Radewoosh" (without quotes) if Radewoosh will get more points in total. Print "Tie" (without quotes) if Limak and Radewoosh will get the same total number of points. | [
"3 2\n50 85 250\n10 15 25\n",
"3 6\n50 85 250\n10 15 25\n",
"8 1\n10 20 30 40 50 60 70 80\n8 10 58 63 71 72 75 76\n"
] | [
"Limak\n",
"Radewoosh\n",
"Tie\n"
] | In the first sample, there are 3 problems. Limak solves them as follows:
1. Limak spends 10 minutes on the 1-st problem and he gets 50 - *c*·10 = 50 - 2·10 = 30 points. 1. Limak spends 15 minutes on the 2-nd problem so he submits it 10 + 15 = 25 minutes after the start of the contest. For the 2-nd problem he gets 85... | [
{
"input": "3 2\n50 85 250\n10 15 25",
"output": "Limak"
},
{
"input": "3 6\n50 85 250\n10 15 25",
"output": "Radewoosh"
},
{
"input": "8 1\n10 20 30 40 50 60 70 80\n8 10 58 63 71 72 75 76",
"output": "Tie"
},
{
"input": "4 1\n3 5 6 9\n1 2 4 8",
"output": "Limak"
},
{... | 108 | 0 | 0 | 1,884 | |
312 | Archer | [
"math",
"probabilities"
] | null | null | SmallR is an archer. SmallR is taking a match of archer with Zanoes. They try to shoot in the target in turns, and SmallR shoots first. The probability of shooting the target each time is for SmallR while for Zanoes. The one who shoots in the target first should be the winner.
Output the probability that SmallR will... | A single line contains four integers . | Print a single real number, the probability that SmallR will win the match.
The answer will be considered correct if the absolute or relative error doesn't exceed 10<=-<=6. | [
"1 2 1 2\n"
] | [
"0.666666666667"
] | none | [
{
"input": "1 2 1 2",
"output": "0.666666666667"
},
{
"input": "1 3 1 3",
"output": "0.600000000000"
},
{
"input": "1 3 2 3",
"output": "0.428571428571"
},
{
"input": "3 4 3 4",
"output": "0.800000000000"
},
{
"input": "1 2 10 11",
"output": "0.523809523810"
... | 93 | 0 | -1 | 1,885 | |
448 | Multiplication Table | [
"binary search",
"brute force"
] | null | null | Bizon the Champion isn't just charming, he also is very smart.
While some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an *n*<=×<=*m* multiplication table, where the element on the intersection of the *i*-th row and *j*-th column equals *i*·*j* ... | The single line contains integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=5·105; 1<=≤<=*k*<=≤<=*n*·*m*). | Print the *k*-th largest number in a *n*<=×<=*m* multiplication table. | [
"2 2 2\n",
"2 3 4\n",
"1 10 5\n"
] | [
"2\n",
"3\n",
"5\n"
] | A 2 × 3 multiplication table looks like this: | [
{
"input": "2 2 2",
"output": "2"
},
{
"input": "2 3 4",
"output": "3"
},
{
"input": "1 10 5",
"output": "5"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "10 1 7",
"output": "7"
},
{
"input": "10 10 33",
"output": "14"
},
{
"input": "... | 1,000 | 0 | 0 | 1,888 | |
760 | Frodo and pillows | [
"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 ge... | 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 exa... | [
{
"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"
},
{
... | 888 | 1,638,400 | 3 | 1,893 | |
25 | Roads not only in Berland | [
"dsu",
"graphs",
"trees"
] | D. Roads not only in Berland | 2 | 256 | Berland Government decided to improve relations with neighboring countries. First of all, it was decided to build new roads so that from each city of Berland and neighboring countries it became possible to reach all the others. There are *n* cities in Berland and neighboring countries in total and exactly *n*<=-<=1 two... | The first line contains integer *n* (2<=≤<=*n*<=≤<=1000) — amount of cities in Berland and neighboring countries. Next *n*<=-<=1 lines contain the description of roads. Each road is described by two space-separated integers *a**i*, *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠<=*b**i*) — pair of cities, which the r... | Output the answer, number *t* — what is the least amount of days needed to rebuild roads so that from each city it became possible to reach all the others. Then output *t* lines — the plan of closure of old roads and building of new ones. Each line should describe one day in the format i j u v — it means that road betw... | [
"2\n1 2\n",
"7\n1 2\n2 3\n3 1\n4 5\n5 6\n6 7\n"
] | [
"0\n",
"1\n3 1 3 7\n"
] | none | [
{
"input": "2\n1 2",
"output": "0"
},
{
"input": "7\n1 2\n2 3\n3 1\n4 5\n5 6\n6 7",
"output": "1\n3 1 3 7"
},
{
"input": "3\n3 2\n1 2",
"output": "0"
},
{
"input": "3\n3 1\n3 2",
"output": "0"
},
{
"input": "4\n1 4\n3 1\n3 4",
"output": "1\n3 4 2 4"
},
{
... | 154 | 102,400 | 0 | 1,896 |
745 | Hongcow Learns the Cyclic Shift | [
"implementation",
"strings"
] | null | null | Hongcow is learning to spell! One day, his teacher gives him a word that he needs to learn to spell. Being a dutiful student, he immediately learns how to spell the word.
Hongcow has decided to try to make new words from this one. He starts by taking the word he just learned how to spell, and moves the last character ... | The first line of input will be a single string *s* (1<=≤<=|*s*|<=≤<=50), the word Hongcow initially learns how to spell. The string *s* consists only of lowercase English letters ('a'–'z'). | Output a single integer equal to the number of distinct strings that Hongcow can obtain by applying the cyclic shift arbitrarily many times to the given string. | [
"abcd\n",
"bbb\n",
"yzyz\n"
] | [
"4\n",
"1\n",
"2\n"
] | For the first sample, the strings Hongcow can generate are "abcd", "dabc", "cdab", and "bcda".
For the second sample, no matter how many times Hongcow does the cyclic shift, Hongcow can only generate "bbb".
For the third sample, the two strings Hongcow can generate are "yzyz" and "zyzy". | [
{
"input": "abcd",
"output": "4"
},
{
"input": "bbb",
"output": "1"
},
{
"input": "yzyz",
"output": "2"
},
{
"input": "abcdefghijklmnopqrstuvwxyabcdefghijklmnopqrstuvwxy",
"output": "25"
},
{
"input": "zclkjadoprqronzclkjadoprqronzclkjadoprqron",
"output": "14... | 124 | 0 | 3 | 1,897 | |
412 | Network Configuration | [
"greedy",
"sortings"
] | null | null | The R1 company wants to hold a web search championship. There were *n* computers given for the competition, each of them is connected to the Internet. The organizers believe that the data transfer speed directly affects the result. The higher the speed of the Internet is, the faster the participant will find the necess... | The first line contains two space-separated integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=100) — the number of computers and the number of participants, respectively. In the second line you have a space-separated sequence consisting of *n* integers: *a*1,<=*a*2,<=...,<=*a**n* (16<=≤<=*a**i*<=≤<=32768); number *a**i* deno... | Print a single integer — the maximum Internet speed value. It is guaranteed that the answer to the problem is always an integer. | [
"3 2\n40 20 30\n",
"6 4\n100 20 40 20 50 50\n"
] | [
"30\n",
"40\n"
] | In the first test case the organizers can cut the first computer's speed to 30 kilobits. Then two computers (the first and the third one) will have the same speed of 30 kilobits. They should be used as the participants' computers. This answer is optimal. | [
{
"input": "3 2\n40 20 30",
"output": "30"
},
{
"input": "6 4\n100 20 40 20 50 50",
"output": "40"
},
{
"input": "1 1\n16",
"output": "16"
},
{
"input": "2 1\n10000 17",
"output": "10000"
},
{
"input": "2 2\n200 300",
"output": "200"
},
{
"input": "3 1... | 62 | 0 | 3 | 1,899 | |
998 | Balloons | [
"constructive algorithms",
"implementation"
] | null | null | There are quite a lot of ways to have fun with inflatable balloons. For example, you can fill them with water and see what happens.
Grigory and Andrew have the same opinion. So, once upon a time, they went to the shop and bought $n$ packets with inflatable balloons, where $i$-th of them has exactly $a_i$ balloons insi... | The first line of input contains a single integer $n$ ($1 \le n \le 10$) — the number of packets with balloons.
The second line contains $n$ integers: $a_1$, $a_2$, $\ldots$, $a_n$ ($1 \le a_i \le 1000$) — the number of balloons inside the corresponding packet. | If it's impossible to divide the balloons satisfying the conditions above, print $-1$.
Otherwise, print an integer $k$ — the number of packets to give to Grigory followed by $k$ distinct integers from $1$ to $n$ — the indices of those. The order of packets doesn't matter.
If there are multiple ways to divide balloons... | [
"3\n1 2 1\n",
"2\n5 5\n",
"1\n10\n"
] | [
"2\n1 2\n",
"-1\n",
"-1\n"
] | In the first test Grigory gets $3$ balloons in total while Andrey gets $1$.
In the second test there's only one way to divide the packets which leads to equal numbers of balloons.
In the third test one of the boys won't get a packet at all. | [
{
"input": "3\n1 2 1",
"output": "1\n1"
},
{
"input": "2\n5 5",
"output": "-1"
},
{
"input": "1\n10",
"output": "-1"
},
{
"input": "1\n1",
"output": "-1"
},
{
"input": "10\n1 1 1 1 1 1 1 1 1 1",
"output": "1\n1"
},
{
"input": "10\n1 1 1 1 1 1 1 1 1 9",... | 124 | 0 | 3 | 1,907 | |
41 | Martian Dollar | [
"brute force"
] | B. Martian Dollar | 2 | 256 | One day Vasya got hold of information on the Martian dollar course in bourles for the next *n* days. The buying prices and the selling prices for one dollar on day *i* are the same and are equal to *a**i*. Vasya has *b* bourles. He can buy a certain number of dollars and then sell it no more than once in *n* days. Acco... | The first line contains two integers *n* and *b* (1<=≤<=*n*,<=*b*<=≤<=2000) — the number of days and the initial number of money in bourles. The next line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2000) — the prices of Martian dollars. | Print the single number — which maximal sum of money in bourles can Vasya get by the end of day *n*. | [
"2 4\n3 7\n",
"4 10\n4 3 2 1\n",
"4 10\n4 2 3 1\n"
] | [
"8\n",
"10\n",
"15\n"
] | none | [
{
"input": "2 4\n3 7",
"output": "8"
},
{
"input": "4 10\n4 3 2 1",
"output": "10"
},
{
"input": "4 10\n4 2 3 1",
"output": "15"
},
{
"input": "2 755\n51 160",
"output": "2281"
},
{
"input": "3 385\n978 1604 1888",
"output": "385"
},
{
"input": "4 1663... | 560 | 1,945,600 | 3.856376 | 1,909 |
705 | Hulk | [
"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, se... | 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 | [
{
"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"... | 31 | 0 | 0 | 1,920 | |
288 | Polo the Penguin and Lucky Numbers | [
"dp",
"implementation",
"math"
] | null | null | Everybody knows that lucky numbers are positive integers that contain only lucky digits 4 and 7 in their decimal representation. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Polo the Penguin have two positive integers *l* and *r* (*l*<=<<=*r*), both of them are lucky numbers. Moreover, their le... | The first line contains a positive integer *l*, and the second line contains a positive integer *r* (1<=≤<=*l*<=<<=*r*<=≤<=10100000). The numbers are given without any leading zeroes.
It is guaranteed that the lengths of the given numbers are equal to each other and that both of them are lucky numbers. | In the single line print a single integer — the answer to the problem modulo 1000000007 (109<=+<=7). | [
"4\n7\n",
"474\n777\n"
] | [
"28\n",
"2316330\n"
] | none | [
{
"input": "4\n7",
"output": "28"
},
{
"input": "474\n777",
"output": "2316330"
},
{
"input": "44\n77",
"output": "11244"
},
{
"input": "444\n777",
"output": "2726676"
},
{
"input": "444\n477",
"output": "636444"
},
{
"input": "444\n744",
"output":... | 62 | 0 | 0 | 1,921 | |
875 | Sorting the Coins | [
"dsu",
"implementation",
"sortings",
"two pointers"
] | null | null | Recently, Dima met with Sasha in a philatelic store, and since then they are collecting coins together. Their favorite occupation is to sort collections of coins. Sasha likes having things in order, that is why he wants his coins to be arranged in a row in such a way that firstly come coins out of circulation, and then... | The first line contains single integer *n* (1<=≤<=*n*<=≤<=300<=000) — number of coins that Sasha puts behind Dima.
Second line contains *n* distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — positions that Sasha puts coins in circulation to. At first Sasha replaces coin located at position *p*1, the... | Print *n*<=+<=1 numbers *a*0,<=*a*1,<=...,<=*a**n*, where *a*0 is a hardness of ordering at the beginning, *a*1 is a hardness of ordering after the first replacement and so on. | [
"4\n1 3 4 2\n",
"8\n6 8 3 4 7 2 1 5\n"
] | [
"1 2 3 2 1\n",
"1 2 2 3 4 3 4 5 1\n"
] | Let's denote as O coin out of circulation, and as X — coin is circulation.
At the first sample, initially in row there are coins that are not in circulation, so Dima will look through them from left to right and won't make any exchanges.
After replacement of the first coin with a coin in circulation, Dima will exchan... | [
{
"input": "4\n1 3 4 2",
"output": "1 2 3 2 1"
},
{
"input": "8\n6 8 3 4 7 2 1 5",
"output": "1 2 2 3 4 3 4 5 1"
},
{
"input": "1\n1",
"output": "1 1"
},
{
"input": "11\n10 8 9 4 6 3 5 1 11 7 2",
"output": "1 2 3 4 5 6 7 8 9 6 2 1"
},
{
"input": "11\n10 8 9 4 3 5 ... | 1,000 | 6,246,400 | 0 | 1,923 | |
0 | none | [
"none"
] | null | null | The main road in Bytecity is a straight line from south to north. Conveniently, there are coordinates measured in meters from the southernmost building in north direction.
At some points on the road there are *n* friends, and *i*-th of them is standing at the point *x**i* meters and can move with any speed no greater ... | The first line contains single integer *n* (2<=≤<=*n*<=≤<=60<=000) — the number of friends.
The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≤<=*x**i*<=≤<=109) — the current coordinates of the friends, in meters.
The third line contains *n* integers *v*1,<=*v*2,<=...,<=*v**n* (1<=≤<=*v**i*<=≤<=109... | Print the minimum time (in seconds) needed for all the *n* friends to meet at some point on the road.
Your answer will be considered correct, if its absolute or relative error isn't greater than 10<=-<=6. Formally, let your answer be *a*, while jury's answer be *b*. Your answer will be considered correct if holds. | [
"3\n7 1 3\n1 2 1\n",
"4\n5 10 3 2\n2 3 2 4\n"
] | [
"2.000000000000\n",
"1.400000000000\n"
] | In the first sample, all friends can gather at the point 5 within 2 seconds. In order to achieve this, the first friend should go south all the time at his maximum speed, while the second and the third friends should go north at their maximum speeds. | [
{
"input": "3\n7 1 3\n1 2 1",
"output": "2.000000000000"
},
{
"input": "4\n5 10 3 2\n2 3 2 4",
"output": "1.400000000000"
},
{
"input": "3\n1 1000000000 2\n1 2 1000000000",
"output": "333333332.999999999971"
},
{
"input": "2\n4 5\n10 8",
"output": "0.055555555556"
},
... | 5,000 | 4,608,000 | 0 | 1,924 | |
519 | A and B and Chess | [
"implementation"
] | null | null | A and B are preparing themselves for programming contests.
To train their logical thinking and solve problems better, A and B decided to play chess. During the game A wondered whose position is now stronger.
For each chess piece we know its weight:
- the queen's weight is 9, - the rook's weight is 5, - the bisho... | The input contains eight lines, eight characters each — the board's description.
The white pieces on the board are marked with uppercase letters, the black pieces are marked with lowercase letters.
The white pieces are denoted as follows: the queen is represented is 'Q', the rook — as 'R', the bishop — as'B', the kni... | Print "White" (without quotes) if the weight of the position of the white pieces is more than the weight of the position of the black pieces, print "Black" if the weight of the black pieces is more than the weight of the white pieces and print "Draw" if the weights of the white and black pieces are equal. | [
"...QK...\n........\n........\n........\n........\n........\n........\n...rk...\n",
"rnbqkbnr\npppppppp\n........\n........\n........\n........\nPPPPPPPP\nRNBQKBNR\n",
"rppppppr\n...k....\n........\n........\n........\n........\nK...Q...\n........\n"
] | [
"White\n",
"Draw\n",
"Black\n"
] | In the first test sample the weight of the position of the white pieces equals to 9, the weight of the position of the black pieces equals 5.
In the second test sample the weights of the positions of the black and the white pieces are equal to 39.
In the third test sample the weight of the position of the white piece... | [
{
"input": "rnbqkbnr\npppppppp\n........\n........\n........\n........\nPPPPPPPP\nRNBQKBNR",
"output": "Draw"
},
{
"input": "....bQ.K\n.B......\n.....P..\n........\n........\n........\n...N.P..\n.....R..",
"output": "White"
},
{
"input": "b....p..\nR.......\n.pP...b.\npp......\nq.PPNpPR\... | 46 | 0 | 3 | 1,933 | |
21 | Stripe 2 | [
"binary search",
"dp",
"sortings"
] | C. Stripe 2 | 1 | 64 | Once Bob took a paper stripe of n squares (the height of the stripe is 1 square). In each square he wrote an integer number, possibly negative. He became interested in how many ways exist to cut this stripe into three pieces so that the sum of numbers from each piece is equal to the sum of numbers from any other piece,... | The first input line contains integer *n* (1<=≤<=*n*<=≤<=105) — amount of squares in the stripe. The second line contains n space-separated numbers — they are the numbers written in the squares of the stripe. These numbers are integer and do not exceed 10000 in absolute value. | Output the amount of ways to cut the stripe into three non-empty pieces so that the sum of numbers from each piece is equal to the sum of numbers from any other piece. Don't forget that it's allowed to cut the stripe along the squares' borders only. | [
"4\n1 2 3 3\n",
"5\n1 2 3 4 5\n"
] | [
"1\n",
"0\n"
] | none | [
{
"input": "1\n-3",
"output": "0"
},
{
"input": "2\n0 0",
"output": "0"
},
{
"input": "3\n0 0 0",
"output": "1"
},
{
"input": "4\n-2 3 3 2",
"output": "0"
},
{
"input": "5\n-6 3 -1 2 -7",
"output": "0"
},
{
"input": "6\n2 3 -3 0 -3 1",
"output": "0... | 1,000 | 6,041,600 | 0 | 1,935 |
197 | Limit | [
"math"
] | null | null | You are given two polynomials:
- *P*(*x*)<==<=*a*0·*x**n*<=+<=*a*1·*x**n*<=-<=1<=+<=...<=+<=*a**n*<=-<=1·*x*<=+<=*a**n* and - *Q*(*x*)<==<=*b*0·*x**m*<=+<=*b*1·*x**m*<=-<=1<=+<=...<=+<=*b**m*<=-<=1·*x*<=+<=*b**m*.
Calculate limit . | The first line contains two space-separated integers *n* and *m* (0<=≤<=*n*,<=*m*<=≤<=100) — degrees of polynomials *P*(*x*) and *Q*(*x*) correspondingly.
The second line contains *n*<=+<=1 space-separated integers — the factors of polynomial *P*(*x*): *a*0, *a*1, ..., *a**n*<=-<=1, *a**n* (<=-<=100<=≤<=*a**i*<=≤<=100... | If the limit equals <=+<=∞, print "Infinity" (without quotes). If the limit equals <=-<=∞, print "-Infinity" (without the quotes).
If the value of the limit equals zero, print "0/1" (without the quotes).
Otherwise, print an irreducible fraction — the value of limit , in the format "p/q" (without the quotes), where *p... | [
"2 1\n1 1 1\n2 5\n",
"1 0\n-1 3\n2\n",
"0 1\n1\n1 0\n",
"2 2\n2 1 6\n4 5 -7\n",
"1 1\n9 0\n-5 2\n"
] | [
"Infinity\n",
"-Infinity\n",
"0/1\n",
"1/2\n",
"-9/5\n"
] | Let's consider all samples:
1. <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c28febca257452afdfcbd6984ba8623911f9bdbc.png" style="max-width: 100.0%;max-height: 100.0%;"/> 1. <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1e55ecd04e54a45e5e0092ec9a5c1ea03bb... | [
{
"input": "2 1\n1 1 1\n2 5",
"output": "Infinity"
},
{
"input": "1 0\n-1 3\n2",
"output": "-Infinity"
},
{
"input": "0 1\n1\n1 0",
"output": "0/1"
},
{
"input": "2 2\n2 1 6\n4 5 -7",
"output": "1/2"
},
{
"input": "1 1\n9 0\n-5 2",
"output": "-9/5"
},
{
... | 30 | 0 | 0 | 1,950 | |
558 | Amr and Chemistry | [
"brute force",
"graphs",
"greedy",
"math",
"shortest paths"
] | null | null | Amr loves Chemistry, and specially doing experiments. He is preparing for a new interesting experiment.
Amr has *n* different types of chemicals. Each chemical *i* has an initial volume of *a**i* liters. For this experiment, Amr has to mix all the chemicals together, but all the chemicals volumes must be equal first. ... | The first line contains one number *n* (1<=≤<=*n*<=≤<=105), the number of chemicals.
The second line contains *n* space separated integers *a**i* (1<=≤<=*a**i*<=≤<=105), representing the initial volume of the *i*-th chemical in liters. | Output one integer the minimum number of operations required to make all the chemicals volumes equal. | [
"3\n4 8 2\n",
"3\n3 5 6\n"
] | [
"2",
"5"
] | In the first sample test, the optimal solution is to divide the second chemical volume by two, and multiply the third chemical volume by two to make all the volumes equal 4.
In the second sample test, the optimal solution is to divide the first chemical volume by two, and divide the second and the third chemical volum... | [
{
"input": "3\n4 8 2",
"output": "2"
},
{
"input": "3\n3 5 6",
"output": "5"
},
{
"input": "2\n50000 100000",
"output": "1"
},
{
"input": "2\n99999 99998",
"output": "2"
},
{
"input": "17\n1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536",
"o... | 1,000 | 7,782,400 | 0 | 1,951 | |
68 | Irrational problem | [
"implementation",
"number theory"
] | A. Irrational problem | 2 | 256 | Little Petya was given this problem for homework:
You are given function (here represents the operation of taking the remainder). His task is to count the number of integers *x* in range [*a*;*b*] with property *f*(*x*)<==<=*x*.
It is a pity that Petya forgot the order in which the remainders should be taken and wr... | First line of the input will contain 6 integers, separated by spaces: *p*1,<=*p*2,<=*p*3,<=*p*4,<=*a*,<=*b* (1<=≤<=*p*1,<=*p*2,<=*p*3,<=*p*4<=≤<=1000,<=0<=≤<=*a*<=≤<=*b*<=≤<=31415).
It is guaranteed that numbers *p*1,<=*p*2,<=*p*3,<=*p*4 will be pairwise distinct. | Output the number of integers in the given range that have the given property. | [
"2 7 1 8 2 8\n",
"20 30 40 50 0 100\n",
"31 41 59 26 17 43\n"
] | [
"0\n",
"20\n",
"9\n"
] | none | [
{
"input": "2 7 1 8 2 8",
"output": "0"
},
{
"input": "20 30 40 50 0 100",
"output": "20"
},
{
"input": "31 41 59 26 17 43",
"output": "9"
},
{
"input": "1 2 3 4 0 0",
"output": "1"
},
{
"input": "1 2 3 4 1 1",
"output": "0"
},
{
"input": "1 2 999 1000... | 434 | 1,024,000 | 3.889593 | 1,955 |
581 | Developing Skills | [
"implementation",
"math",
"sortings"
] | null | null | Petya loves computer games. Finally a game that he's been waiting for so long came out!
The main character of this game has *n* different skills, each of which is characterized by an integer *a**i* from 0 to 100. The higher the number *a**i* is, the higher is the *i*-th skill of the character. The total rating of the ... | The first line of the input contains two positive integers *n* and *k* (1<=≤<=*n*<=≤<=105, 0<=≤<=*k*<=≤<=107) — the number of skills of the character and the number of units of improvements at Petya's disposal.
The second line of the input contains a sequence of *n* integers *a**i* (0<=≤<=*a**i*<=≤<=100), where *a**i*... | The first line of the output should contain a single non-negative integer — the maximum total rating of the character that Petya can get using *k* or less improvement units. | [
"2 4\n7 9\n",
"3 8\n17 15 19\n",
"2 2\n99 100\n"
] | [
"2\n",
"5\n",
"20\n"
] | In the first test case the optimal strategy is as follows. Petya has to improve the first skill to 10 by spending 3 improvement units, and the second skill to 10, by spending one improvement unit. Thus, Petya spends all his improvement units and the total rating of the character becomes equal to *lfloor* *frac*{100}{1... | [
{
"input": "2 4\n7 9",
"output": "2"
},
{
"input": "3 8\n17 15 19",
"output": "5"
},
{
"input": "2 2\n99 100",
"output": "20"
},
{
"input": "100 10000\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 ... | 155 | 14,848,000 | 0 | 1,957 | |
914 | Conan and Agasa play a Card Game | [
"games",
"greedy",
"implementation"
] | null | null | Edogawa Conan got tired of solving cases, and invited his friend, Professor Agasa, over. They decided to play a game of cards. Conan has *n* cards, and the *i*-th card has a number *a**i* written on it.
They take turns playing, starting with Conan. In each turn, the player chooses a card and removes it. Also, he remov... | The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of cards Conan has.
The next line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105), where *a**i* is the number on the *i*-th card. | If Conan wins, print "Conan" (without quotes), otherwise print "Agasa" (without quotes). | [
"3\n4 5 7\n",
"2\n1 1\n"
] | [
"Conan\n",
"Agasa\n"
] | In the first example, Conan can just choose the card having number 7 on it and hence remove all the cards. After that, there are no cards left on Agasa's turn.
In the second example, no matter which card Conan chooses, there will be one one card left, which Agasa can choose. After that, there are no cards left when it... | [
{
"input": "3\n4 5 7",
"output": "Conan"
},
{
"input": "2\n1 1",
"output": "Agasa"
},
{
"input": "10\n38282 53699 38282 38282 38282 38282 38282 38282 38282 38282",
"output": "Conan"
},
{
"input": "10\n50165 50165 50165 50165 50165 50165 50165 50165 50165 50165",
"output":... | 124 | 7,372,800 | 0 | 1,958 | |
611 | New Year and Old Property | [
"bitmasks",
"brute force",
"implementation"
] | null | null | The year 2015 is almost over.
Limak is a little polar bear. He has recently learnt about the binary system. He noticed that the passing year has exactly one zero in its representation in the binary system — 201510<==<=111110111112. Note that he doesn't care about the number of zeros in the decimal representation.
Lim... | The only line of the input contains two integers *a* and *b* (1<=≤<=*a*<=≤<=*b*<=≤<=1018) — the first year and the last year in Limak's interval respectively. | Print one integer – the number of years Limak will count in his chosen interval. | [
"5 10\n",
"2015 2015\n",
"100 105\n",
"72057594000000000 72057595000000000\n"
] | [
"2\n",
"1\n",
"0\n",
"26\n"
] | In the first sample Limak's interval contains numbers 5<sub class="lower-index">10</sub> = 101<sub class="lower-index">2</sub>, 6<sub class="lower-index">10</sub> = 110<sub class="lower-index">2</sub>, 7<sub class="lower-index">10</sub> = 111<sub class="lower-index">2</sub>, 8<sub class="lower-index">10</sub> = 1000<su... | [
{
"input": "5 10",
"output": "2"
},
{
"input": "2015 2015",
"output": "1"
},
{
"input": "100 105",
"output": "0"
},
{
"input": "72057594000000000 72057595000000000",
"output": "26"
},
{
"input": "1 100",
"output": "16"
},
{
"input": "100000000000000000... | 62 | 1,536,000 | 3 | 1,964 | |
267 | Subtractions | [
"math",
"number theory"
] | null | null | You've got two numbers. As long as they are both larger than zero, they go through the same operation: subtract the lesser number from the larger one. If they equal substract one number from the another. For example, one operation transforms pair (4,17) to pair (4,13), it transforms (5,5) to (0,5).
You've got some num... | The first line contains the number of pairs *n* (1<=<=≤<=<=*n*<=<=≤<=<=1000). Then follow *n* lines, each line contains a pair of positive integers *a**i*,<=*b**i* (1<=<=≤<=<=*a**i*,<=<=*b**i*<=<=≤<=<=109). | Print the sought number of operations for each pair on a single line. | [
"2\n4 17\n7 987654321\n"
] | [
"8\n141093479\n"
] | none | [
{
"input": "2\n4 17\n7 987654321",
"output": "8\n141093479"
},
{
"input": "10\n7 987654321\n7 987654321\n7 987654321\n7 987654321\n7 987654321\n7 987654321\n7 987654321\n7 987654321\n7 987654321\n7 987654321",
"output": "141093479\n141093479\n141093479\n141093479\n141093479\n141093479\n141093479... | 171 | 3,891,200 | 3 | 1,967 | |
990 | Bracket Sequences Concatenation Problem | [
"implementation"
] | null | null | A bracket sequence is a string containing only characters "(" and ")".
A regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters "1" and "+" between the original characters of the sequence. For example, bracket sequences "()()", "(())" are reg... | The first line contains one integer $n \, (1 \le n \le 3 \cdot 10^5)$ — the number of bracket sequences. The following $n$ lines contain bracket sequences — non-empty strings consisting only of characters "(" and ")". The sum of lengths of all bracket sequences does not exceed $3 \cdot 10^5$. | In the single line print a single integer — the number of pairs $i, j \, (1 \le i, j \le n)$ such that the bracket sequence $s_i + s_j$ is a regular bracket sequence. | [
"3\n)\n()\n(\n",
"2\n()\n()\n"
] | [
"2\n",
"4\n"
] | In the first example, suitable pairs are $(3, 1)$ and $(2, 2)$.
In the second example, any pair is suitable, namely $(1, 1), (1, 2), (2, 1), (2, 2)$. | [
{
"input": "3\n)\n()\n(",
"output": "2"
},
{
"input": "2\n()\n()",
"output": "4"
},
{
"input": "7\n()(\n)\n)(\n())\n(((\n()()()\n()",
"output": "6"
},
{
"input": "6\n(\n((\n(((\n))))\n)))))\n))))))",
"output": "0"
},
{
"input": "9\n(()\n((())\n(\n)\n(()()(()())))\... | 2,000 | 6,144,000 | 0 | 1,970 | |
46 | Hamsters and Tigers | [
"two pointers"
] | C. Hamsters and Tigers | 2 | 256 | Today there is going to be an unusual performance at the circus — hamsters and tigers will perform together! All of them stand in circle along the arena edge and now the trainer faces a difficult task: he wants to swap the animals' positions so that all the hamsters stood together and all the tigers also stood together... | The first line contains number *n* (2<=≤<=*n*<=≤<=1000) which indicates the total number of animals in the arena. The second line contains the description of the animals' positions. The line consists of *n* symbols "H" and "T". The "H"s correspond to hamsters and the "T"s correspond to tigers. It is guaranteed that at ... | Print the single number which is the minimal number of swaps that let the trainer to achieve his goal. | [
"3\nHTH\n",
"9\nHTHTHTHHT\n"
] | [
"0\n",
"2\n"
] | In the first example we shouldn't move anybody because the animals of each species already stand apart from the other species. In the second example you may swap, for example, the tiger in position 2 with the hamster in position 5 and then — the tiger in position 9 with the hamster in position 7. | [
{
"input": "3\nHTH",
"output": "0"
},
{
"input": "9\nHTHTHTHHT",
"output": "2"
},
{
"input": "2\nTH",
"output": "0"
},
{
"input": "4\nHTTH",
"output": "0"
},
{
"input": "4\nHTHT",
"output": "1"
},
{
"input": "7\nTTTHTTT",
"output": "0"
},
{
... | 62 | 0 | 0 | 1,971 |
387 | George and Sleep | [
"implementation"
] | null | null | George woke up and saw the current time *s* on the digital clock. Besides, George knows that he has slept for time *t*.
Help George! Write a program that will, given time *s* and *t*, determine the time *p* when George went to bed. Note that George could have gone to bed yesterday relatively to the current time (see ... | The first line contains current time *s* as a string in the format "hh:mm". The second line contains time *t* in the format "hh:mm" — the duration of George's sleep. It is guaranteed that the input contains the correct time in the 24-hour format, that is, 00<=≤<=*hh*<=≤<=23, 00<=≤<=*mm*<=≤<=59. | In the single line print time *p* — the time George went to bed in the format similar to the format of the time in the input. | [
"05:50\n05:44\n",
"00:00\n01:00\n",
"00:01\n00:00\n"
] | [
"00:06\n",
"23:00\n",
"00:01\n"
] | In the first sample George went to bed at "00:06". Note that you should print the time only in the format "00:06". That's why answers "0:06", "00:6" and others will be considered incorrect.
In the second sample, George went to bed yesterday.
In the third sample, George didn't do to bed at all. | [
{
"input": "05:50\n05:44",
"output": "00:06"
},
{
"input": "00:00\n01:00",
"output": "23:00"
},
{
"input": "00:01\n00:00",
"output": "00:01"
},
{
"input": "23:59\n23:59",
"output": "00:00"
},
{
"input": "23:44\n23:55",
"output": "23:49"
},
{
"input": "... | 46 | 0 | 3 | 1,972 | |
803 | Distances to Zero | [
"constructive algorithms"
] | null | null | You are given the array of integer numbers *a*0,<=*a*1,<=...,<=*a**n*<=-<=1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array. | The first line contains integer *n* (1<=≤<=*n*<=≤<=2·105) — length of the array *a*. The second line contains integer elements of the array separated by single spaces (<=-<=109<=≤<=*a**i*<=≤<=109). | Print the sequence *d*0,<=*d*1,<=...,<=*d**n*<=-<=1, where *d**i* is the difference of indices between *i* and nearest *j* such that *a**j*<==<=0. It is possible that *i*<==<=*j*. | [
"9\n2 1 0 3 0 0 3 2 4\n",
"5\n0 1 2 3 4\n",
"7\n5 6 0 1 -2 3 4\n"
] | [
"2 1 0 1 0 0 1 2 3 ",
"0 1 2 3 4 ",
"2 1 0 1 2 3 4 "
] | none | [
{
"input": "9\n2 1 0 3 0 0 3 2 4",
"output": "2 1 0 1 0 0 1 2 3 "
},
{
"input": "5\n0 1 2 3 4",
"output": "0 1 2 3 4 "
},
{
"input": "7\n5 6 0 1 -2 3 4",
"output": "2 1 0 1 2 3 4 "
},
{
"input": "1\n0",
"output": "0 "
},
{
"input": "2\n0 0",
"output": "0 0 "
... | 2,000 | 18,022,400 | 0 | 1,974 | |
39 | Multiplication Table | [
"implementation"
] | H. Multiplication Table | 2 | 64 | Petya studies positional notations. He has already learned to add and subtract numbers in the systems of notations with different radices and has moved on to a more complicated action — multiplication. To multiply large numbers one has to learn the multiplication table. Unfortunately, in the second grade students learn... | The first line contains a single integer *k* (2<=≤<=*k*<=≤<=10) — the radix of the system. | Output the multiplication table for the system of notations with the radix *k*. The table must contain *k*<=-<=1 rows and *k*<=-<=1 columns. The element on the crossing of the *i*-th row and the *j*-th column is equal to the product of *i* and *j* in the system of notations with the radix *k*. Each line may have any nu... | [
"10\n",
"3\n"
] | [
"1 2 3 4 5 6 7 8 9\n2 4 6 8 10 12 14 16 18\n3 6 9 12 15 18 21 24 27\n4 8 12 16 20 24 28 32 36\n5 10 15 20 25 30 35 40 45\n6 12 18 24 30 36 42 48 54\n7 14 21 28 35 42 49 56 63\n8 16 24 32 40 48 56 64 72\n9 18 27 36 45 54 63 72 81\n",
"1 2\n2 11"
] | none | [
{
"input": "10",
"output": "1 2 3 4 5 6 7 8 9 \n2 4 6 8 10 12 14 16 18 \n3 6 9 12 15 18 21 24 27 \n4 8 12 16 20 24 28 32 36 \n5 10 15 20 25 30 35 40 45 \n6 12 18 24 30 36 42 48 54 \n7 14 21 28 35 42 49 56 63 \n8 16 24 32 40 48 56 64 72 \n9 18 27 36 45 54 63 72 81 "
},
{
"input": "3",
"output": "... | 124 | 6,963,200 | 0 | 1,976 |
432 | Prefixes and Suffixes | [
"dp",
"string suffix structures",
"strings",
"two pointers"
] | null | null | You have a string *s*<==<=*s*1*s*2...*s*|*s*|, where |*s*| is the length of string *s*, and *s**i* its *i*-th character.
Let's introduce several definitions:
- A substring *s*[*i*..*j*] (1<=≤<=*i*<=≤<=*j*<=≤<=|*s*|) of string *s* is string *s**i**s**i*<=+<=1...*s**j*. - The prefix of string *s* of length *l* (1<=≤... | The single line contains a sequence of characters *s*1*s*2...*s*|*s*| (1<=≤<=|*s*|<=≤<=105) — string *s*. The string only consists of uppercase English letters. | In the first line, print integer *k* (0<=≤<=*k*<=≤<=|*s*|) — the number of prefixes that match a suffix of string *s*. Next print *k* lines, in each line print two integers *l**i* *c**i*. Numbers *l**i* *c**i* mean that the prefix of the length *l**i* matches the suffix of length *l**i* and occurs in string *s* as a su... | [
"ABACABA\n",
"AAA\n"
] | [
"3\n1 4\n3 2\n7 1\n",
"3\n1 3\n2 2\n3 1\n"
] | none | [
{
"input": "ABACABA",
"output": "3\n1 4\n3 2\n7 1"
},
{
"input": "AAA",
"output": "3\n1 3\n2 2\n3 1"
},
{
"input": "A",
"output": "1\n1 1"
},
{
"input": "AAAAAAAAAAAAAAAAXAAAAAAAAAAAAAAAAAAAAAAA",
"output": "17\n1 39\n2 37\n3 35\n4 33\n5 31\n6 29\n7 27\n8 25\n9 23\n10 21\... | 498 | 10,649,600 | 3 | 1,984 |
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