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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | none | [
"none"
] | null | null | For an array $b$ of length $m$ we define the function $f$ as
where $\oplus$ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, $f(1,2,4,8)=f(1\oplus2,2\oplus4,4\oplus8)=f(3,6,12)=f(3\oplus6,6\oplus12)=f(5,10)=f(5\oplus10)=f(15)=15$
You are given an array $a$ and a few queri... | The first line contains a single integer $n$ ($1 \le n \le 5000$)Β β the length of $a$.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($0 \le a_i \le 2^{30}-1$)Β β the elements of the array.
The third line contains a single integer $q$ ($1 \le q \le 100\,000$)Β β the number of queries.
Each of the next $... | Print $q$ linesΒ β the answers for the queries. | [
"3\n8 4 1\n2\n2 3\n1 2\n",
"6\n1 2 4 8 16 32\n4\n1 6\n2 5\n3 4\n1 2\n"
] | [
"5\n12\n",
"60\n30\n12\n3\n"
] | In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are $[3,6]$, for second query β $[2,5]$, for third β $[3,4]$, for fourth β $[1,2]$. | [
{
"input": "3\n8 4 1\n2\n2 3\n1 2",
"output": "5\n12"
},
{
"input": "6\n1 2 4 8 16 32\n4\n1 6\n2 5\n3 4\n1 2",
"output": "60\n30\n12\n3"
}
] | 2,000 | 94,617,600 | 0 | 4,573 | |
792 | Counting-out Rhyme | [
"implementation"
] | null | null | *n* children are standing in a circle and playing the counting-out game. Children are numbered clockwise from 1 to *n*. In the beginning, the first child is considered the leader. The game is played in *k* steps. In the *i*-th step the leader counts out *a**i* people in clockwise order, starting from the next person. T... | The first line contains two integer numbers *n* and *k* (2<=β€<=*n*<=β€<=100, 1<=β€<=*k*<=β€<=*n*<=-<=1).
The next line contains *k* integer numbers *a*1,<=*a*2,<=...,<=*a**k* (1<=β€<=*a**i*<=β€<=109). | Print *k* numbers, the *i*-th one corresponds to the number of child to be eliminated at the *i*-th step. | [
"7 5\n10 4 11 4 1\n",
"3 2\n2 5\n"
] | [
"4 2 5 6 1 \n",
"3 2 \n"
] | Let's consider first example:
- In the first step child 4 is eliminated, child 5 becomes the leader. - In the second step child 2 is eliminated, child 3 becomes the leader. - In the third step child 5 is eliminated, child 6 becomes the leader. - In the fourth step child 6 is eliminated, child 7 becomes the leader... | [
{
"input": "7 5\n10 4 11 4 1",
"output": "4 2 5 6 1 "
},
{
"input": "3 2\n2 5",
"output": "3 2 "
},
{
"input": "2 1\n1",
"output": "2 "
},
{
"input": "2 1\n2",
"output": "1 "
},
{
"input": "2 1\n3",
"output": "2 "
},
{
"input": "10 7\n5 10 4 3 8 10 6",... | 62 | 4,608,000 | 3 | 4,583 | |
981 | Useful Decomposition | [
"implementation",
"trees"
] | null | null | Ramesses knows a lot about problems involving trees (undirected connected graphs without cycles)!
He created a new useful tree decomposition, but he does not know how to construct it, so he asked you for help!
The decomposition is the splitting the edges of the tree in some simple paths in such a way that each two pa... | The first line contains a single integer $n$ ($2 \leq n \leq 10^{5}$) the number of nodes in the tree.
Each of the next $n<=-<=1$ lines contains two integers $a_i$ and $b_i$ ($1 \leq a_i, b_i \leq n$, $a_i \neq b_i$)Β β the edges of the tree. It is guaranteed that the given edges form a tree. | If there are no decompositions, print the only line containing "No".
Otherwise in the first line print "Yes", and in the second line print the number of paths in the decomposition $m$.
Each of the next $m$ lines should contain two integers $u_i$, $v_i$ ($1 \leq u_i, v_i \leq n$, $u_i \neq v_i$) denoting that one of ... | [
"4\n1 2\n2 3\n3 4\n",
"6\n1 2\n2 3\n3 4\n2 5\n3 6\n",
"5\n1 2\n1 3\n1 4\n1 5\n"
] | [
"Yes\n1\n1 4\n",
"No\n",
"Yes\n4\n1 2\n1 3\n1 4\n1 5\n"
] | The tree from the first example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/9eb4b4c143d3ad267ae05d1e43341bd368b3088b.png" style="max-width: 100.0%;max-height: 100.0%;"/> The number next to each edge corresponds to the path number in the decomposition. It is easy to see ... | [
{
"input": "4\n1 2\n2 3\n3 4",
"output": "Yes\n1\n1 4"
},
{
"input": "6\n1 2\n2 3\n3 4\n2 5\n3 6",
"output": "No"
},
{
"input": "5\n1 2\n1 3\n1 4\n1 5",
"output": "Yes\n4\n1 2\n1 3\n1 4\n1 5"
},
{
"input": "2\n1 2",
"output": "Yes\n1\n1 2"
},
{
"input": "8\n1 2\n1... | 483 | 8,089,600 | 3 | 4,584 | |
0 | none | [
"none"
] | null | null | Mad scientist Mike does not use slow hard disks. His modification of a hard drive has not one, but *n* different heads that can read data in parallel.
When viewed from the side, Mike's hard drive is an endless array of tracks. The tracks of the array are numbered from left to right with integers, starting with 1. In t... | The first line of the input contains two space-separated integers *n*, *m* (1<=β€<=*n*,<=*m*<=β€<=105) β the number of disk heads and the number of tracks to read, accordingly. The second line contains *n* distinct integers *h**i* in ascending order (1<=β€<=*h**i*<=β€<=1010, *h**i*<=<<=*h**i*<=+<=1) β the initial positi... | Print a single number β the minimum time required, in seconds, to read all the needed tracks. | [
"3 4\n2 5 6\n1 3 6 8\n",
"3 3\n1 2 3\n1 2 3\n",
"1 2\n165\n142 200\n"
] | [
"2\n",
"0\n",
"81\n"
] | The first test coincides with the figure. In this case the given tracks can be read in 2 seconds in the following way:
1. during the first second move the 1-st head to the left and let it stay there; 1. move the second head to the left twice; 1. move the third head to the right twice (note that the 6-th track has ... | [
{
"input": "3 4\n2 5 6\n1 3 6 8",
"output": "2"
},
{
"input": "3 3\n1 2 3\n1 2 3",
"output": "0"
},
{
"input": "1 2\n165\n142 200",
"output": "81"
},
{
"input": "1 2\n5000000000\n1 10000000000",
"output": "14999999998"
},
{
"input": "2 4\n3 12\n1 7 8 14",
"out... | 233 | 21,708,800 | 3 | 4,586 | |
8 | Obsession with Robots | [
"constructive algorithms",
"graphs",
"implementation"
] | B. Obsession with Robots | 2 | 64 | The whole world got obsessed with robots,and to keep pace with the progress, great Berland's programmer Draude decided to build his own robot. He was working hard at the robot. He taught it to walk the shortest path from one point to another, to record all its movements, but like in many Draude's programs, there was a ... | The first line of the input file contains the recording of the robot's movements. This recording is a non-empty string, consisting of uppercase Latin letters L, R, U and D, standing for movements left, right, up and down respectively. The length of the string does not exceed 100. | In the first line output the only word OK (if the above described map exists), or BUG (if such a map does not exist). | [
"LLUUUR\n",
"RRUULLDD\n"
] | [
"OK\n",
"BUG\n"
] | none | [
{
"input": "LLUUUR",
"output": "OK"
},
{
"input": "RRUULLDD",
"output": "BUG"
},
{
"input": "L",
"output": "OK"
},
{
"input": "R",
"output": "OK"
},
{
"input": "R",
"output": "OK"
},
{
"input": "RR",
"output": "OK"
},
{
"input": "DL",
"... | 312 | 0 | 0 | 4,592 |
137 | History | [
"sortings"
] | null | null | Polycarpus likes studying at school a lot and he is always diligent about his homework. Polycarpus has never had any problems with natural sciences as his great-great-grandfather was the great physicist Seinstein. On the other hand though, Polycarpus has never had an easy time with history.
Everybody knows that the Wo... | The first input line contains integer *n* (1<=β€<=*n*<=β€<=105) which represents the number of events. Next *n* lines contain descriptions of the historical events, one event per line. The *i*<=+<=1 line contains two integers *a**i* and *b**i* (1<=β€<=*a**i*<=<<=*b**i*<=β€<=109) β the beginning and the end of the *i*-th... | Print the only integer β the answer to the problem. | [
"5\n1 10\n2 9\n3 8\n4 7\n5 6\n",
"5\n1 100\n2 50\n51 99\n52 98\n10 60\n",
"1\n1 1000000000\n"
] | [
"4\n",
"4\n",
"0\n"
] | In the first example the fifth event is contained in the fourth. Similarly, the fourth event is contained in the third, the third β in the second and the second β in the first.
In the second example all events except the first one are contained in the first.
In the third example only one event, so the answer is 0. | [
{
"input": "5\n1 10\n2 9\n3 8\n4 7\n5 6",
"output": "4"
},
{
"input": "5\n1 100\n2 50\n51 99\n52 98\n10 60",
"output": "4"
},
{
"input": "1\n1 1000000000",
"output": "0"
},
{
"input": "2\n100 1000\n500 1500",
"output": "0"
},
{
"input": "4\n1 100\n50 150\n120 200\... | 2,000 | 9,523,200 | 0 | 4,595 | |
429 | Tricky Function | [
"data structures",
"divide and conquer",
"geometry"
] | null | null | Iahub and Sorin are the best competitive programmers in their town. However, they can't both qualify to an important contest. The selection will be made with the help of a single problem. Blatnatalag, a friend of Iahub, managed to get hold of the problem before the contest. Because he wants to make sure Iahub will be t... | The first line of input contains a single integer *n* (2<=β€<=*n*<=β€<=100000). Next line contains *n* integers *a*[1], *a*[2], ..., *a*[*n*] (<=-<=104<=β€<=*a*[*i*]<=β€<=104). | Output a single integer β the value of *min**i*<=β <=*j*Β Β *f*(*i*,<=*j*). | [
"4\n1 0 0 -1\n",
"2\n1 -1\n"
] | [
"1\n",
"2\n"
] | none | [
{
"input": "4\n1 0 0 -1",
"output": "1"
},
{
"input": "2\n1 -1",
"output": "2"
},
{
"input": "100\n-57 -64 83 76 80 27 60 76 -80 -56 52 72 -17 92 -96 87 41 -88 94 89 12 42 36 34 -100 -43 -42 62 3 87 -69 -6 -27 -59 -7 5 -90 -23 63 -87 -60 -92 -40 54 -16 -47 67 -64 10 33 -19 53 -7 -62 16 -... | 77 | 4,198,400 | -1 | 4,596 | |
478 | Red-Green Towers | [
"dp"
] | null | null | There are *r* red and *g* green blocks for construction of the red-green tower. Red-green tower can be built following next rules:
- Red-green tower is consisting of some number of levels; - Let the red-green tower consist of *n* levels, then the first level of this tower should consist of *n* blocks, second level β... | The only line of input contains two integers *r* and *g*, separated by a single space β the number of available red and green blocks respectively (0<=β€<=*r*,<=*g*<=β€<=2Β·105, *r*<=+<=*g*<=β₯<=1). | Output the only integer β the number of different possible red-green towers of height *h* moduloΒ 109<=+<=7. | [
"4 6\n",
"9 7\n",
"1 1\n"
] | [
"2\n",
"6\n",
"2\n"
] | The image in the problem statement shows all possible red-green towers for the first sample. | [
{
"input": "4 6",
"output": "2"
},
{
"input": "9 7",
"output": "6"
},
{
"input": "1 1",
"output": "2"
},
{
"input": "3 3",
"output": "2"
},
{
"input": "2 19",
"output": "1"
},
{
"input": "18 3",
"output": "2"
},
{
"input": "100000 1",
"... | 62 | 614,400 | -1 | 4,611 | |
53 | Physical Education | [
"sortings"
] | D. Physical Education | 2 | 256 | Vasya is a school PE teacher. Unlike other PE teachers, Vasya doesn't like it when the students stand in line according to their height. Instead, he demands that the children stand in the following order: *a*1,<=*a*2,<=...,<=*a**n*, where *a**i* is the height of the *i*-th student in the line and *n* is the number of s... | The first line contains an integer *n* (1<=β€<=*n*<=β€<=300) which is the number of students. The second line contains *n* space-separated integers *a**i* (1<=β€<=*a**i*<=β€<=109) which represent the height of the student occupying the *i*-th place must possess. The third line contains *n* space-separated integers *b**i* (... | In the first line print an integer *k* (0<=β€<=*k*<=β€<=106) which is the number of moves. It is not required to minimize *k* but it must not exceed 106. Then print *k* lines each containing two space-separated integers. Line *p**i*, *p**i*<=+<=1 (1<=β€<=*p**i*<=β€<=*n*<=-<=1) means that Vasya should swap students occupyin... | [
"4\n1 2 3 2\n3 2 1 2\n",
"2\n1 100500\n1 100500\n"
] | [
"4\n2 3\n1 2\n3 4\n2 3\n",
"0\n"
] | none | [
{
"input": "4\n1 2 3 2\n3 2 1 2",
"output": "4\n2 3\n1 2\n3 4\n2 3"
},
{
"input": "2\n1 100500\n1 100500",
"output": "0"
},
{
"input": "3\n652586118 652586118 652586118\n652586118 652586118 652586118",
"output": "3\n2 3\n1 2\n2 3"
},
{
"input": "4\n681106577 681106577 6750771... | 216 | 6,963,200 | 0 | 4,613 |
612 | The Union of k-Segments | [
"greedy",
"sortings"
] | null | null | You are given *n* segments on the coordinate axis Ox and the number *k*. The point is satisfied if it belongs to at least *k* segments. Find the smallest (by the number of segments) set of segments on the coordinate axis Ox which contains all satisfied points and no others. | The first line contains two integers *n* and *k* (1<=β€<=*k*<=β€<=*n*<=β€<=106) β the number of segments and the value of *k*.
The next *n* lines contain two integers *l**i*,<=*r**i* (<=-<=109<=β€<=*l**i*<=β€<=*r**i*<=β€<=109) each β the endpoints of the *i*-th segment. The segments can degenerate and intersect each other. ... | First line contains integer *m* β the smallest number of segments.
Next *m* lines contain two integers *a**j*,<=*b**j* (*a**j*<=β€<=*b**j*) β the ends of *j*-th segment in the answer. The segments should be listed in the order from left to right. | [
"3 2\n0 5\n-3 2\n3 8\n",
"3 2\n0 5\n-3 3\n3 8\n"
] | [
"2\n0 2\n3 5\n",
"1\n0 5\n"
] | none | [
{
"input": "3 2\n0 5\n-3 2\n3 8",
"output": "2\n0 2\n3 5"
},
{
"input": "3 2\n0 5\n-3 3\n3 8",
"output": "1\n0 5"
},
{
"input": "1 1\n-1 1",
"output": "1\n-1 1"
},
{
"input": "10 2\n27 96\n-22 45\n-68 26\n46 69\n-91 86\n12 73\n-89 76\n-11 33\n17 47\n-57 78",
"output": "1\... | 62 | 5,632,000 | 0 | 4,627 | |
0 | none | [
"none"
] | null | null | In the year of $30XX$ participants of some world programming championship live in a single large hotel. The hotel has $n$ floors. Each floor has $m$ sections with a single corridor connecting all of them. The sections are enumerated from $1$ to $m$ along the corridor, and all sections with equal numbers on different fl... | The first line contains five integers $n, m, c_l, c_e, v$ ($2 \leq n, m \leq 10^8$, $0 \leq c_l, c_e \leq 10^5$, $1 \leq c_l + c_e \leq m - 1$, $1 \leq v \leq n - 1$)Β β the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The ... | Print $q$ integers, one per lineΒ β the answers for the queries. | [
"5 6 1 1 3\n2\n5\n3\n1 1 5 6\n1 3 5 4\n3 3 5 3\n"
] | [
"7\n5\n4\n"
] | In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in th... | [
{
"input": "5 6 1 1 3\n2\n5\n3\n1 1 5 6\n1 3 5 4\n3 3 5 3",
"output": "7\n5\n4"
},
{
"input": "2 2 0 1 1\n\n1\n1\n1 2 2 2",
"output": "3"
},
{
"input": "4 4 1 0 1\n4\n\n5\n1 1 2 2\n1 3 2 2\n3 3 4 3\n3 2 2 2\n1 2 2 3",
"output": "6\n4\n3\n5\n4"
},
{
"input": "10 10 1 8 4\n10\n... | 46 | 0 | 0 | 4,634 | |
364 | Free Market | [
"dp",
"greedy"
] | null | null | John Doe has recently found a "Free Market" in his city β that is the place where you can exchange some of your possessions for other things for free.
John knows that his city has *n* items in total (each item is unique). You can bring any number of items to the market and exchange them for any other one. Note that e... | The first line contains two space-separated integers *n*, *d* (1<=β€<=*n*<=β€<=50, 1<=β€<=*d*<=β€<=104) β the number of items on the market and John's sense of justice value, correspondingly. The second line contains *n* space-separated integers *c**i* (1<=β€<=*c**i*<=β€<=104). | Print two space-separated integers: the maximum possible price in the set of items John can get and the minimum number of days needed to get such set. | [
"3 2\n1 3 10\n",
"3 5\n1 2 3\n",
"10 10000\n10000 9999 1 10000 10000 10000 1 2 3 4\n"
] | [
"4 3\n",
"6 2\n",
"50010 6\n"
] | In the first sample John can act like this:
- Take the first item (1β-β0ββ€β2). - Exchange the first item for the second one (3β-β1ββ€β2). - Take the first item (1β-β0ββ€β2). | [] | 1,000 | 0 | 0 | 4,639 | |
876 | Divisiblity of Differences | [
"implementation",
"math",
"number theory"
] | null | null | You are given a multiset of *n* integers. You should select exactly *k* of them in a such way that the difference between any two of them is divisible by *m*, or tell that it is impossible.
Numbers can be repeated in the original multiset and in the multiset of selected numbers, but number of occurrences of any number... | First line contains three integers *n*, *k* and *m* (2<=β€<=*k*<=β€<=*n*<=β€<=100<=000, 1<=β€<=*m*<=β€<=100<=000)Β β number of integers in the multiset, number of integers you should select and the required divisor of any pair of selected integers.
Second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=β€<=*a**i*<=... | If it is not possible to select *k* numbers in the desired way, output Β«NoΒ» (without the quotes).
Otherwise, in the first line of output print Β«YesΒ» (without the quotes). In the second line print *k* integers *b*1,<=*b*2,<=...,<=*b**k*Β β the selected numbers. If there are multiple possible solutions, print any of them... | [
"3 2 3\n1 8 4\n",
"3 3 3\n1 8 4\n",
"4 3 5\n2 7 7 7\n"
] | [
"Yes\n1 4 ",
"No",
"Yes\n2 7 7 "
] | none | [
{
"input": "3 2 3\n1 8 4",
"output": "Yes\n1 4 "
},
{
"input": "3 3 3\n1 8 4",
"output": "No"
},
{
"input": "4 3 5\n2 7 7 7",
"output": "Yes\n2 7 7 "
},
{
"input": "9 9 5\n389149775 833127990 969340400 364457730 48649145 316121525 640054660 924273385 973207825",
"output":... | 1,000 | 5,529,600 | 0 | 4,642 | |
859 | Lazy Security Guard | [
"brute force",
"geometry",
"math"
] | null | null | Your security guard friend recently got a new job at a new security company. The company requires him to patrol an area of the city encompassing exactly *N* city blocks, but they let him choose which blocks. That is, your friend must walk the perimeter of a region whose area is exactly *N* blocks. Your friend is quite ... | Input will consist of a single integer *N* (1<=β€<=*N*<=β€<=106), the number of city blocks that must be enclosed by the route. | Print the minimum perimeter that can be achieved. | [
"4\n",
"11\n",
"22\n"
] | [
"8\n",
"14\n",
"20\n"
] | Here are some possible shapes for the examples:
<img class="tex-graphics" src="https://espresso.codeforces.com/e11bef2cf82b55dd583cfc97d12b5aee5e483a65.png" style="max-width: 100.0%;max-height: 100.0%;"/> | [
{
"input": "4",
"output": "8"
},
{
"input": "11",
"output": "14"
},
{
"input": "22",
"output": "20"
},
{
"input": "3",
"output": "8"
},
{
"input": "1024",
"output": "128"
},
{
"input": "101",
"output": "42"
},
{
"input": "30",
"output":... | 62 | 0 | 3 | 4,644 | |
778 | Peterson Polyglot | [
"brute force",
"dfs and similar",
"dsu",
"hashing",
"strings",
"trees"
] | null | null | Peterson loves to learn new languages, but his favorite hobby is making new ones. Language is a set of words, and word is a sequence of lowercase Latin letters.
Peterson makes new language every morning. It is difficult task to store the whole language, so Peterson have invented new data structure for storing his lang... | The first line of input contains integer *n* (2<=β€<=*n*<=β€<=3Β·105)Β β the size of the broom.
Next *n*<=-<=1 lines describe the broom: *i*-th of them contains integers *u**i*, *v**i* and letter *x**i*Β β describing the edge from *u**i* to *v**i* marked with letter *x**i*.
Vertices are numbered from 1 to *n*. All *x**i* ... | The first line of output should contain the minimum possible size of the broom after its simplification. The second line of output should contain integer *p* to choose. If there are several suitable *p* values, print the smallest one. | [
"5\n1 2 c\n2 3 a\n3 4 t\n2 5 t\n",
"16\n1 2 o\n2 3 f\n1 4 p\n4 5 i\n5 6 e\n6 7 c\n7 8 e\n4 9 r\n9 10 e\n10 11 t\n11 12 t\n12 13 y\n10 14 f\n14 15 i\n15 16 x\n"
] | [
"3\n2\n",
"12\n2\n"
] | <img class="tex-graphics" src="https://espresso.codeforces.com/4b46644a485274790bd64830c23320ae20be3097.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Broom from the second sample test can be built using language "piece", "of", "pie", "pretty", "prefix". Its simplification with *p*β=β2 obtains the language of wo... | [
{
"input": "5\n1 2 c\n2 3 a\n3 4 t\n2 5 t",
"output": "3\n2"
},
{
"input": "16\n1 2 o\n2 3 f\n1 4 p\n4 5 i\n5 6 e\n6 7 c\n7 8 e\n4 9 r\n9 10 e\n10 11 t\n11 12 t\n12 13 y\n10 14 f\n14 15 i\n15 16 x",
"output": "12\n2"
},
{
"input": "2\n1 2 o",
"output": "1\n1"
},
{
"input": "3... | 30 | 0 | 0 | 4,655 | |
159 | Matchmaker | [
"*special",
"greedy",
"sortings"
] | null | null | Polycarpus has *n* markers and *m* marker caps. Each marker is described by two numbers: *x**i* is the color and *y**i* is the diameter. Correspondingly, each cap is described by two numbers: *a**j* is the color and *b**j* is the diameter. Cap (*a**j*,<=*b**j*) can close marker (*x**i*,<=*y**i*) only if their diameters... | The first input line contains two space-separated integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=105) β the number of markers and the number of caps, correspondingly.
Next *n* lines describe the markers. The *i*-th line contains two space-separated integers *x**i*, *y**i* (1<=β€<=*x**i*,<=*y**i*<=β€<=1000) β the *i*-th mark... | Print two space-separated integers *u*,<=*v*, where *u* is the number of closed markers and *v* is the number of beautifully closed markers in the sought optimal way. Remember that you have to find the way to close the maximum number of markers, and if there are several such ways, you should choose the one where the nu... | [
"3 4\n1 2\n3 4\n2 4\n5 4\n2 4\n1 1\n1 2\n",
"2 2\n1 2\n2 1\n3 4\n5 1\n"
] | [
"3 2\n",
"1 0\n"
] | In the first test sample the first marker should be closed by the fourth cap, the second marker should be closed by the first cap and the third marker should be closed by the second cap. Thus, three markers will be closed, and two of them will be beautifully closed β the first and the third markers. | [
{
"input": "3 4\n1 2\n3 4\n2 4\n5 4\n2 4\n1 1\n1 2",
"output": "3 2"
},
{
"input": "2 2\n1 2\n2 1\n3 4\n5 1",
"output": "1 0"
},
{
"input": "6 7\n2 1\n2 2\n2 1\n1 1\n2 1\n1 2\n2 2\n2 2\n2 2\n1 2\n2 2\n1 1\n1 2",
"output": "3 3"
},
{
"input": "6 7\n2 1\n1 1\n2 2\n1 2\n1 1\n1 2... | 2,870 | 24,883,200 | 3 | 4,671 | |
437 | The Child and Homework | [
"implementation"
] | null | null | Once upon a time a child got a test consisting of multiple-choice questions as homework. A multiple-choice question consists of four choices: A, B, C and D. Each choice has a description, and the child should find out the only one that is correct.
Fortunately the child knows how to solve such complicated test. The chi... | The first line starts with "A." (without quotes), then followed the description of choice A. The next three lines contains the descriptions of the other choices in the same format. They are given in order: B, C, D. Please note, that the description goes after prefix "X.", so the prefix mustn't be counted in description... | Print a single line with the child's choice: "A", "B", "C" or "D" (without quotes). | [
"A.VFleaKing_is_the_author_of_this_problem\nB.Picks_is_the_author_of_this_problem\nC.Picking_is_the_author_of_this_problem\nD.Ftiasch_is_cute\n",
"A.ab\nB.abcde\nC.ab\nD.abc\n",
"A.c\nB.cc\nC.c\nD.c\n"
] | [
"D\n",
"C\n",
"B\n"
] | In the first sample, the first choice has length 39, the second one has length 35, the third one has length 37, and the last one has length 15. The choice D (length 15) is twice shorter than all other choices', so it is great choice. There is no other great choices so the child will choose D.
In the second sample, no ... | [
{
"input": "A.VFleaKing_is_the_author_of_this_problem\nB.Picks_is_the_author_of_this_problem\nC.Picking_is_the_author_of_this_problem\nD.Ftiasch_is_cute",
"output": "D"
},
{
"input": "A.ab\nB.abcde\nC.ab\nD.abc",
"output": "C"
},
{
"input": "A.c\nB.cc\nC.c\nD.c",
"output": "B"
},
... | 108 | 6,963,200 | 0 | 4,688 | |
631 | Report | [
"data structures",
"sortings"
] | null | null | Each month Blake gets the report containing main economic indicators of the company "Blake Technologies". There are *n* commodities produced by the company. For each of them there is exactly one integer in the final report, that denotes corresponding revenue. Before the report gets to Blake, it passes through the hands... | The first line of the input contains two integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=200<=000)Β β the number of commodities in the report and the number of managers, respectively.
The second line contains *n* integers *a**i* (|*a**i*|<=β€<=109)Β β the initial report before it gets to the first manager.
Then follow *m* lin... | Print *n* integersΒ β the final report, which will be passed to Blake by manager number *m*. | [
"3 1\n1 2 3\n2 2\n",
"4 2\n1 2 4 3\n2 3\n1 2\n"
] | [
"2 1 3 ",
"2 4 1 3 "
] | In the first sample, the initial report looked like: 1 2 3. After the first manager the first two numbers were transposed: 2 1 3. The report got to Blake in this form.
In the second sample the original report was like this: 1 2 4 3. After the first manager the report changed to: 4 2 1 3. After the second manager the r... | [
{
"input": "3 1\n1 2 3\n2 2",
"output": "2 1 3 "
},
{
"input": "4 2\n1 2 4 3\n2 3\n1 2",
"output": "2 4 1 3 "
},
{
"input": "4 1\n4 3 2 1\n1 4",
"output": "1 2 3 4 "
},
{
"input": "5 1\n1 2 3 4 5\n2 5",
"output": "5 4 3 2 1 "
},
{
"input": "6 2\n3 1 2 6 4 5\n1 6\n... | 2,000 | 30,515,200 | 0 | 4,697 | |
898 | Proper Nutrition | [
"brute force",
"implementation",
"number theory"
] | null | null | Vasya has *n* burles. One bottle of Ber-Cola costs *a* burles and one Bars bar costs *b* burles. He can buy any non-negative integer number of bottles of Ber-Cola and any non-negative integer number of Bars bars.
Find out if it's possible to buy some amount of bottles of Ber-Cola and Bars bars and spend exactly *n* bu... | First line contains single integer *n* (1<=β€<=*n*<=β€<=10<=000<=000)Β β amount of money, that Vasya has.
Second line contains single integer *a* (1<=β€<=*a*<=β€<=10<=000<=000)Β β cost of one bottle of Ber-Cola.
Third line contains single integer *b* (1<=β€<=*b*<=β€<=10<=000<=000)Β β cost of one Bars bar. | If Vasya can't buy Bars and Ber-Cola in such a way to spend exactly *n* burles print Β«NOΒ» (without quotes).
Otherwise in first line print Β«YESΒ» (without quotes). In second line print two non-negative integers *x* and *y*Β β number of bottles of Ber-Cola and number of Bars bars Vasya should buy in order to spend exactly... | [
"7\n2\n3\n",
"100\n25\n10\n",
"15\n4\n8\n",
"9960594\n2551\n2557\n"
] | [
"YES\n2 1\n",
"YES\n0 10\n",
"NO\n",
"YES\n1951 1949\n"
] | In first example Vasya can buy two bottles of Ber-Cola and one Bars bar. He will spend exactly 2Β·2β+β1Β·3β=β7 burles.
In second example Vasya can spend exactly *n* burles multiple ways:
- buy two bottles of Ber-Cola and five Bars bars; - buy four bottles of Ber-Cola and don't buy Bars bars; - don't buy Ber-Cola an... | [
{
"input": "7\n2\n3",
"output": "YES\n2 1"
},
{
"input": "100\n25\n10",
"output": "YES\n0 10"
},
{
"input": "15\n4\n8",
"output": "NO"
},
{
"input": "9960594\n2551\n2557",
"output": "YES\n1951 1949"
},
{
"input": "10000000\n1\n1",
"output": "YES\n0 10000000"
... | 670 | 1,638,400 | 0 | 4,714 | |
558 | A Simple Task | [
"data structures",
"sortings",
"strings"
] | null | null | This task is very simple. Given a string *S* of length *n* and *q* queries each query is on the format *i* *j* *k* which means sort the substring consisting of the characters from *i* to *j* in non-decreasing order if *k*<==<=1 or in non-increasing order if *k*<==<=0.
Output the final string after applying the queries... | The first line will contain two integers *n*,<=*q* (1<=β€<=*n*<=β€<=105, 0<=β€<=*q*<=β€<=50<=000), the length of the string and the number of queries respectively.
Next line contains a string *S* itself. It contains only lowercase English letters.
Next *q* lines will contain three integers each *i*,<=*j*,<=*k* (1<=β€<=*i... | Output one line, the string *S* after applying the queries. | [
"10 5\nabacdabcda\n7 10 0\n5 8 1\n1 4 0\n3 6 0\n7 10 1\n",
"10 1\nagjucbvdfk\n1 10 1\n"
] | [
"cbcaaaabdd",
"abcdfgjkuv"
] | First sample test explanation:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3ac4e8cc7e335675a4a2b7b4758bfb3865377cea.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a90b5b03cf59288d8861f0142ecbdf6b12f69e5... | [
{
"input": "10 5\nabacdabcda\n7 10 0\n5 8 1\n1 4 0\n3 6 0\n7 10 1",
"output": "cbcaaaabdd"
},
{
"input": "10 1\nagjucbvdfk\n1 10 1",
"output": "abcdfgjkuv"
},
{
"input": "10 6\nrmaahmdmuo\n1 3 1\n4 6 0\n5 6 1\n7 8 0\n8 10 0\n8 9 1",
"output": "amrmahmoud"
},
{
"input": "10 5\... | 5,000 | 2,560,000 | 0 | 4,715 | |
630 | Selection of Personnel | [
"combinatorics",
"math"
] | null | null | One company of IT City decided to create a group of innovative developments consisting from 5 to 7 people and hire new employees for it. After placing an advertisment the company received *n* resumes. Now the HR department has to evaluate each possible group composition and select one of them. Your task is to count the... | The only line of the input contains one integer *n* (7<=β€<=*n*<=β€<=777) β the number of potential employees that sent resumes. | Output one integer β the number of different variants of group composition. | [
"7\n"
] | [
"29"
] | none | [
{
"input": "7",
"output": "29"
},
{
"input": "8",
"output": "92"
},
{
"input": "9",
"output": "246"
},
{
"input": "10",
"output": "582"
},
{
"input": "321",
"output": "66715035255088"
},
{
"input": "624",
"output": "7147161340917624"
},
{
"... | 46 | 0 | 3 | 4,732 | |
578 | "Or" Game | [
"brute force",
"greedy"
] | null | null | You are given *n* numbers *a*1,<=*a*2,<=...,<=*a**n*. You can perform at most *k* operations. For each operation you can multiply one of the numbers by *x*. We want to make as large as possible, where denotes the bitwise OR.
Find the maximum possible value of after performing at most *k* operations optimally. | The first line contains three integers *n*, *k* and *x* (1<=β€<=*n*<=β€<=200<=000, 1<=β€<=*k*<=β€<=10, 2<=β€<=*x*<=β€<=8).
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=β€<=*a**i*<=β€<=109). | Output the maximum value of a bitwise OR of sequence elements after performing operations. | [
"3 1 2\n1 1 1\n",
"4 2 3\n1 2 4 8\n"
] | [
"3\n",
"79\n"
] | For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1ee73b671ed4bc53f2f96ed1a85fd98388e1712b.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
For the second sample... | [
{
"input": "3 1 2\n1 1 1",
"output": "3"
},
{
"input": "4 2 3\n1 2 4 8",
"output": "79"
},
{
"input": "2 1 2\n12 9",
"output": "30"
},
{
"input": "2 1 2\n12 7",
"output": "31"
},
{
"input": "3 1 3\n3 2 0",
"output": "11"
},
{
"input": "5 10 8\n10000000... | 124 | 0 | 0 | 4,738 | |
268 | Beautiful Sets of Points | [
"constructive algorithms",
"implementation"
] | null | null | Manao has invented a new mathematical term β a beautiful set of points. He calls a set of points on a plane beautiful if it meets the following conditions:
1. The coordinates of each point in the set are integers. 1. For any two points from the set, the distance between them is a non-integer.
Consider all points (*... | The single line contains two space-separated integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=100). | In the first line print a single integer β the size *k* of the found beautiful set. In each of the next *k* lines print a pair of space-separated integers β the *x*- and *y*- coordinates, respectively, of a point from the set.
If there are several optimal solutions, you may print any of them. | [
"2 2\n",
"4 3\n"
] | [
"3\n0 1\n1 2\n2 0\n",
"4\n0 3\n2 1\n3 0\n4 2\n"
] | Consider the first sample. The distance between points (0, 1) and (1, 2) equals <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/bfe16f27ebc966df6f10ba356a1547b6e7242dd7.png" style="max-width: 100.0%;max-height: 100.0%;"/>, between (0, 1) and (2, 0) β <img align="middle" class="tex-formula" ... | [
{
"input": "2 2",
"output": "3\n0 1\n1 2\n2 0"
},
{
"input": "4 3",
"output": "4\n0 3\n2 1\n3 0\n4 2"
},
{
"input": "21 21",
"output": "22\n21 0\n20 1\n19 2\n18 3\n17 4\n16 5\n15 6\n14 7\n13 8\n12 9\n11 10\n10 11\n9 12\n8 13\n7 14\n6 15\n5 16\n4 17\n3 18\n2 19\n1 20\n0 21"
},
{
... | 122 | 1,638,400 | 0 | 4,757 | |
746 | Green and Black Tea | [
"constructive algorithms",
"greedy",
"math"
] | null | null | Innokentiy likes tea very much and today he wants to drink exactly *n* cups of tea. He would be happy to drink more but he had exactly *n* tea bags, *a* of them are green and *b* are black.
Innokentiy doesn't like to drink the same tea (green or black) more than *k* times in a row. Your task is to determine the order ... | The first line contains four integers *n*, *k*, *a* and *b* (1<=β€<=*k*<=β€<=*n*<=β€<=105, 0<=β€<=*a*,<=*b*<=β€<=*n*)Β β the number of cups of tea Innokentiy wants to drink, the maximum number of cups of same tea he can drink in a row, the number of tea bags of green and black tea. It is guaranteed that *a*<=+<=*b*<==<=*n*. | If it is impossible to drink *n* cups of tea, print "NO" (without quotes).
Otherwise, print the string of the length *n*, which consists of characters 'G' and 'B'. If some character equals 'G', then the corresponding cup of tea should be green. If some character equals 'B', then the corresponding cup of tea should be ... | [
"5 1 3 2\n",
"7 2 2 5\n",
"4 3 4 0\n"
] | [
"GBGBG\n",
"BBGBGBB",
"NO\n"
] | none | [
{
"input": "5 1 3 2",
"output": "GBGBG"
},
{
"input": "7 2 2 5",
"output": "BBGBBGB"
},
{
"input": "4 3 4 0",
"output": "NO"
},
{
"input": "2 2 0 2",
"output": "BB"
},
{
"input": "3 2 0 3",
"output": "NO"
},
{
"input": "1 1 0 1",
"output": "B"
},... | 46 | 0 | 0 | 4,763 | |
0 | none | [
"none"
] | null | null | As a German University in Cairo (GUC) student and a basketball player, Herr Wafa was delighted once he heard the news. GUC is finally participating in the Annual Basketball Competition (ABC).
A team is to be formed of *n* players, all of which are GUC students. However, the team might have players belonging to differ... | The first line contains three integers *n*, *m* and *h* (1<=β€<=*n*<=β€<=100,<=1<=β€<=*m*<=β€<=1000,<=1<=β€<=*h*<=β€<=*m*) β the number of players on the team, the number of departments in GUC and Herr Wafa's department, correspondingly.
The second line contains a single-space-separated list of *m* integers *s**i* (1<=β€<=*... | Print the probability that Herr Wafa will have at least one teammate from his department. If there is not enough basketball players in GUC to participate in ABC, print -1. The answer will be accepted if it has absolute or relative error not exceeding 10<=-<=6. | [
"3 2 1\n2 1\n",
"3 2 1\n1 1\n",
"3 2 1\n2 2\n"
] | [
"1\n",
"-1\n",
"0.666667\n"
] | In the first example all 3 players (2 from department 1 and 1 from department 2) must be chosen for the team. Both players from Wafa's departments will be chosen, so he's guaranteed to have a teammate from his department.
In the second example, there are not enough players.
In the third example, there are three possi... | [
{
"input": "3 2 1\n2 1",
"output": "1"
},
{
"input": "3 2 1\n1 1",
"output": "-1"
},
{
"input": "3 2 1\n2 2",
"output": "0.666667"
},
{
"input": "3 2 1\n1 2",
"output": "0.000000"
},
{
"input": "6 5 3\n5 2 3 10 5",
"output": "0.380435"
},
{
"input": "7... | 0 | 0 | -1 | 4,778 | |
789 | Masha and geometric depression | [
"brute force",
"implementation",
"math"
] | null | null | Masha really loves algebra. On the last lesson, her strict teacher Dvastan gave she new exercise.
You are given geometric progression *b* defined by two integers *b*1 and *q*. Remind that a geometric progression is a sequence of integers *b*1,<=*b*2,<=*b*3,<=..., where for each *i*<=><=1 the respective term satisfi... | The first line of input contains four integers *b*1, *q*, *l*, *m* (-109<=β€<=*b*1,<=*q*<=β€<=109, 1<=β€<=*l*<=β€<=109, 1<=β€<=*m*<=β€<=105)Β β the initial term and the common ratio of progression, absolute value of maximal number that can be written on the board and the number of "bad" integers, respectively.
The second lin... | Print the only integer, meaning the number of progression terms that will be written on the board if it is finite, or "inf" (without quotes) otherwise. | [
"3 2 30 4\n6 14 25 48\n",
"123 1 2143435 4\n123 11 -5453 141245\n",
"123 1 2143435 4\n54343 -13 6 124\n"
] | [
"3",
"0",
"inf"
] | In the first sample case, Masha will write integers 3,β12,β24. Progression term 6 will be skipped because it is a "bad" integer. Terms bigger than 24 won't be written because they exceed *l* by absolute value.
In the second case, Masha won't write any number because all terms are equal 123 and this is a "bad" integer.... | [
{
"input": "3 2 30 4\n6 14 25 48",
"output": "3"
},
{
"input": "123 1 2143435 4\n123 11 -5453 141245",
"output": "0"
},
{
"input": "123 1 2143435 4\n54343 -13 6 124",
"output": "inf"
},
{
"input": "3 2 25 2\n379195692 -69874783",
"output": "4"
},
{
"input": "3 2 3... | 46 | 4,608,000 | 0 | 4,779 | |
868 | Race Against Time | [
"implementation"
] | null | null | Have you ever tried to explain to the coordinator, why it is eight hours to the contest and not a single problem has been prepared yet? Misha had. And this time he has a really strong excuse: he faced a space-time paradox! Space and time replaced each other.
The entire universe turned into an enormous clock face with ... | Five integers *h*, *m*, *s*, *t*1, *t*2 (1<=β€<=*h*<=β€<=12, 0<=β€<=*m*,<=*s*<=β€<=59, 1<=β€<=*t*1,<=*t*2<=β€<=12, *t*1<=β <=*t*2).
Misha's position and the target time do not coincide with the position of any hand. | Print "YES" (quotes for clarity), if Misha can prepare the contest on time, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES"). | [
"12 30 45 3 11\n",
"12 0 1 12 1\n",
"3 47 0 4 9\n"
] | [
"NO\n",
"YES\n",
"YES\n"
] | The three examples are shown on the pictures below from left to right. The starting position of Misha is shown with green, the ending position is shown with pink. Note that the positions of the hands on the pictures are not exact, but are close to the exact and the answer is the same. | [
{
"input": "12 30 45 3 11",
"output": "NO"
},
{
"input": "12 0 1 12 1",
"output": "YES"
},
{
"input": "3 47 0 4 9",
"output": "YES"
},
{
"input": "10 22 59 6 10",
"output": "YES"
},
{
"input": "3 1 13 12 3",
"output": "NO"
},
{
"input": "11 19 28 9 10"... | 62 | 0 | 0 | 4,803 | |
825 | Suitable Replacement | [
"binary search",
"greedy",
"implementation"
] | null | null | You are given two strings *s* and *t* consisting of small Latin letters, string *s* can also contain '?' characters.
Suitability of string *s* is calculated by following metric:
Any two letters can be swapped positions, these operations can be performed arbitrary number of times over any pair of positions. Among all... | The first line contains string *s* (1<=β€<=|*s*|<=β€<=106).
The second line contains string *t* (1<=β€<=|*t*|<=β€<=106). | Print string *s* with '?' replaced with small Latin letters in such a way that suitability of that string is maximal.
If there are multiple strings with maximal suitability then print any of them. | [
"?aa?\nab\n",
"??b?\nza\n",
"abcd\nabacaba\n"
] | [
"baab\n",
"azbz\n",
"abcd\n"
] | In the first example string "baab" can be transformed to "abab" with swaps, this one has suitability of 2. That means that string "baab" also has suitability of 2.
In the second example maximal suitability you can achieve is 1 and there are several dozens of such strings, "azbz" is just one of them.
In the third exam... | [
{
"input": "?aa?\nab",
"output": "baab"
},
{
"input": "??b?\nza",
"output": "azbz"
},
{
"input": "abcd\nabacaba",
"output": "abcd"
},
{
"input": "mqwstphetbfrsyxuzdww\nrutseqtsbh",
"output": "mqwstphetbfrsyxuzdww"
},
{
"input": "????????????????????\nxwkxsxlrre",
... | 514 | 60,006,400 | 3 | 4,816 | |
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<=β€<=*n*,<=*m*<=β€<=1000). Each of the next *n* lines contains *m* integers: *j*-th number from *i*-th line denotes element *a*[*i*][*j*] (0<=β€<=*a*[*i*][*j*]<=β€<=105). | The output contains a single number β 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]βββ*a*[1][2]βββ*a*[2][2]βββ*a*[3][2]βββ*a*[3][3]. Iahubina will choose exercises *a*[3][1]βββ*a*[2][1]βββ*a*[2][2]βββ*a*[2][3]βββ*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": "... | 312 | 10,035,200 | 0 | 4,847 | |
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<=<=β€<=<=*n*<=<=β€<=<=1000). Then follow *n* lines, each line contains a pair of positive integers *a**i*,<=*b**i* (1<=<=β€<=<=*a**i*,<=<=*b**i*<=<=β€<=<=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... | 30 | 0 | 0 | 4,848 | |
940 | Cashback | [
"data structures",
"dp",
"greedy",
"math"
] | null | null | Since you are the best Wraith King, Nizhniy Magazin Β«MirΒ» at the centre of Vinnytsia is offering you a discount.
You are given an array *a* of length *n* and an integer *c*.
The value of some array *b* of length *k* is the sum of its elements except for the smallest. For example, the value of the array [3,<=1,<=6,<... | The first line contains integers *n* and *c* (1<=β€<=*n*,<=*c*<=β€<=100<=000).
The second line contains *n* integers *a**i* (1<=β€<=*a**i*<=β€<=109)Β β elements of *a*. | Output a single integer Β β the smallest possible sum of values of these subarrays of some partition of *a*. | [
"3 5\n1 2 3\n",
"12 10\n1 1 10 10 10 10 10 10 9 10 10 10\n",
"7 2\n2 3 6 4 5 7 1\n",
"8 4\n1 3 4 5 5 3 4 1\n"
] | [
"6\n",
"92\n",
"17\n",
"23\n"
] | In the first example any partition yields 6 as the sum.
In the second example one of the optimal partitions is [1,β1],β[10,β10,β10,β10,β10,β10,β9,β10,β10,β10] with the values 2 and 90 respectively.
In the third example one of the optimal partitions is [2,β3],β[6,β4,β5,β7],β[1] with the values 3, 13 and 1 respectively... | [
{
"input": "3 5\n1 2 3",
"output": "6"
},
{
"input": "12 10\n1 1 10 10 10 10 10 10 9 10 10 10",
"output": "92"
},
{
"input": "7 2\n2 3 6 4 5 7 1",
"output": "17"
},
{
"input": "8 4\n1 3 4 5 5 3 4 1",
"output": "23"
},
{
"input": "15 5\n11 15 16 24 24 28 36 40 49 4... | 436 | 18,432,000 | 3 | 4,849 | |
46 | Ball Game | [
"brute force",
"implementation"
] | A. Ball Game | 2 | 256 | A kindergarten teacher Natalia Pavlovna has invented a new ball game. This game not only develops the children's physique, but also teaches them how to count.
The game goes as follows. Kids stand in circle. Let's agree to think of the children as numbered with numbers from 1 to *n* clockwise and the child number 1 is... | The first line contains integer *n* (2<=β€<=*n*<=β€<=100) which indicates the number of kids in the circle. | In the single line print *n*<=-<=1 numbers which are the numbers of children who will get the ball after each throw. Separate the numbers by spaces. | [
"10\n",
"3\n"
] | [
"2 4 7 1 6 2 9 7 6\n",
"2 1\n"
] | none | [
{
"input": "10",
"output": "2 4 7 1 6 2 9 7 6"
},
{
"input": "3",
"output": "2 1"
},
{
"input": "4",
"output": "2 4 3"
},
{
"input": "5",
"output": "2 4 2 1"
},
{
"input": "6",
"output": "2 4 1 5 4"
},
{
"input": "7",
"output": "2 4 7 4 2 1"
},
... | 92 | 0 | 0 | 4,851 |
0 | none | [
"none"
] | null | null | The mobile application store has a new game called "Subway Roller".
The protagonist of the game Philip is located in one end of the tunnel and wants to get out of the other one. The tunnel is a rectangular field consisting of three rows and *n* columns. At the beginning of the game the hero is in some cell of the left... | Each test contains from one to ten sets of the input data. The first line of the test contains a single integer *t* (1<=β€<=*t*<=β€<=10 for pretests and tests or *t*<==<=1 for hacks; see the Notes section for details) β the number of sets.
Then follows the description of *t* sets of the input data.
The first line of t... | For each set of the input data print on a single line word YES, if it is possible to win the game and word NO otherwise. | [
"2\n16 4\n...AAAAA........\ns.BBB......CCCCC\n........DDDDD...\n16 4\n...AAAAA........\ns.BBB....CCCCC..\n.......DDDDD....\n",
"2\n10 4\ns.ZZ......\n.....AAABB\n.YYYYYY...\n10 4\ns.ZZ......\n....AAAABB\n.YYYYYY...\n"
] | [
"YES\nNO\n",
"YES\nNO\n"
] | In the first set of the input of the first sample Philip must first go forward and go down to the third row of the field, then go only forward, then go forward and climb to the second row, go forward again and go up to the first row. After that way no train blocks Philip's path, so he can go straight to the end of the ... | [] | 77 | 512,000 | 3 | 4,854 | |
847 | Weather Tomorrow | [
"implementation",
"math"
] | null | null | Vasya came up with his own weather forecasting method. He knows the information about the average air temperature for each of the last *n* days. Assume that the average air temperature for each day is integral.
Vasya believes that if the average temperatures over the last *n* days form an arithmetic progression, where... | The first line contains a single integer *n* (2<=β€<=*n*<=β€<=100) β the number of days for which the average air temperature is known.
The second line contains a sequence of integers *t*1,<=*t*2,<=...,<=*t**n* (<=-<=1000<=β€<=*t**i*<=β€<=1000)Β β where *t**i* is the average temperature in the *i*-th day. | Print the average air temperature in the (*n*<=+<=1)-th day, which Vasya predicts according to his method. Note that the absolute value of the predicted temperature can exceed 1000. | [
"5\n10 5 0 -5 -10\n",
"4\n1 1 1 1\n",
"3\n5 1 -5\n",
"2\n900 1000\n"
] | [
"-15\n",
"1\n",
"-5\n",
"1100\n"
] | In the first example the sequence of the average temperatures is an arithmetic progression where the first term is 10 and each following terms decreases by 5. So the predicted average temperature for the sixth day is β-β10β-β5β=ββ-β15.
In the second example the sequence of the average temperatures is an arithmetic pro... | [
{
"input": "5\n10 5 0 -5 -10",
"output": "-15"
},
{
"input": "4\n1 1 1 1",
"output": "1"
},
{
"input": "3\n5 1 -5",
"output": "-5"
},
{
"input": "2\n900 1000",
"output": "1100"
},
{
"input": "2\n1 2",
"output": "3"
},
{
"input": "3\n2 5 8",
"output... | 46 | 0 | 3 | 4,865 | |
0 | none | [
"none"
] | null | null | On vacations *n* pupils decided to go on excursion and gather all together. They need to overcome the path with the length *l* meters. Each of the pupils will go with the speed equal to *v*1. To get to the excursion quickly, it was decided to rent a bus, which has seats for *k* people (it means that it can't fit more t... | The first line of the input contains five positive integers *n*, *l*, *v*1, *v*2 and *k* (1<=β€<=*n*<=β€<=10<=000, 1<=β€<=*l*<=β€<=109, 1<=β€<=*v*1<=<<=*v*2<=β€<=109, 1<=β€<=*k*<=β€<=*n*)Β β the number of pupils, the distance from meeting to the place of excursion, the speed of each pupil, the speed of bus and the number of ... | Print the real numberΒ β the minimum time in which all pupils can reach the place of excursion. Your answer will be considered correct if its absolute or relative error won't exceed 10<=-<=6. | [
"5 10 1 2 5\n",
"3 6 1 2 1\n"
] | [
"5.0000000000\n",
"4.7142857143\n"
] | In the first sample we should immediately put all five pupils to the bus. The speed of the bus equals 2 and the distance is equal to 10, so the pupils will reach the place of excursion in time 10β/β2β=β5. | [
{
"input": "5 10 1 2 5",
"output": "5.0000000000"
},
{
"input": "3 6 1 2 1",
"output": "4.7142857143"
},
{
"input": "39 252 51 98 26",
"output": "3.5344336938"
},
{
"input": "59 96 75 98 9",
"output": "1.2315651330"
},
{
"input": "87 237 3 21 40",
"output": "3... | 124 | 0 | 0 | 4,869 | |
621 | Wet Shark and Bishops | [
"combinatorics",
"implementation"
] | null | null | Today, Wet Shark is given *n* bishops on a 1000 by 1000 grid. Both rows and columns of the grid are numbered from 1 to 1000. Rows are numbered from top to bottom, while columns are numbered from left to right.
Wet Shark thinks that two bishops attack each other if they share the same diagonal. Note, that this is the o... | The first line of the input contains *n* (1<=β€<=*n*<=β€<=200<=000)Β β the number of bishops.
Each of next *n* lines contains two space separated integers *x**i* and *y**i* (1<=β€<=*x**i*,<=*y**i*<=β€<=1000)Β β the number of row and the number of column where *i*-th bishop is positioned. It's guaranteed that no two bishops ... | Output one integerΒ β the number of pairs of bishops which attack each other. | [
"5\n1 1\n1 5\n3 3\n5 1\n5 5\n",
"3\n1 1\n2 3\n3 5\n"
] | [
"6\n",
"0\n"
] | In the first sample following pairs of bishops attack each other: (1,β3), (1,β5), (2,β3), (2,β4), (3,β4) and (3,β5). Pairs (1,β2), (1,β4), (2,β5) and (4,β5) do not attack each other because they do not share the same diagonal. | [
{
"input": "5\n1 1\n1 5\n3 3\n5 1\n5 5",
"output": "6"
},
{
"input": "3\n1 1\n2 3\n3 5",
"output": "0"
},
{
"input": "3\n859 96\n634 248\n808 72",
"output": "0"
},
{
"input": "3\n987 237\n891 429\n358 145",
"output": "0"
},
{
"input": "3\n411 81\n149 907\n611 114"... | 1,185 | 11,468,800 | 3 | 4,876 | |
0 | none | [
"none"
] | null | null | Old MacDonald has a farm and a large potato field, (1010<=+<=1)<=Γ<=(1010<=+<=1) square meters in size. The field is divided into square garden beds, each bed takes up one square meter.
Old McDonald knows that the Colorado potato beetle is about to invade his farm and can destroy the entire harvest. To fight the insec... | The first line contains an integer *n* (1<=β€<=*n*<=β€<=1000) β the number of Old McDonald's movements.
Next *n* lines contain the description of Old McDonald's movements. The *i*-th of these lines describes the *i*-th movement. Each movement is given in the format "*d**i* *x**i*", where *d**i* is the character that det... | Print a single integer β the number of beds that won't be infected by the Colorado potato beetle.
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. | [
"5\nR 8\nU 9\nL 9\nD 8\nL 2\n",
"7\nR 10\nD 2\nL 7\nU 9\nD 2\nR 3\nD 10\n"
] | [
"101",
"52"
] | none | [] | 62 | 0 | 0 | 4,880 | |
0 | none | [
"none"
] | null | null | Vasya the programmer lives in the middle of the Programming subway branch. He has two girlfriends: Dasha and Masha, who live at the different ends of the branch, each one is unaware of the other one's existence.
When Vasya has some free time, he goes to one of his girlfriends. He descends into the subway at some time,... | The first line contains two integers *a* and *b* (*a*<=β <=*b*,<=1<=β€<=*a*,<=*b*<=β€<=106). | Print "Dasha" if Vasya will go to Dasha more frequently, "Masha" if he will go to Masha more frequently, or "Equal" if he will go to both girlfriends with the same frequency. | [
"3 7\n",
"5 3\n",
"2 3\n"
] | [
"Dasha\n",
"Masha\n",
"Equal\n"
] | Let's take a look at the third sample. Let the trains start to go at the zero moment of time. It is clear that the moments of the trains' arrival will be periodic with period 6. That's why it is enough to show that if Vasya descends to the subway at a moment of time inside the interval (0,β6], he will go to both girls ... | [
{
"input": "3 7",
"output": "Dasha"
},
{
"input": "5 3",
"output": "Masha"
},
{
"input": "2 3",
"output": "Equal"
},
{
"input": "31 88",
"output": "Dasha"
},
{
"input": "8 75",
"output": "Dasha"
},
{
"input": "32 99",
"output": "Dasha"
},
{
... | 62 | 0 | 0 | 4,883 | |
549 | Haar Features | [
"greedy",
"implementation"
] | null | null | The first algorithm for detecting a face on the image working in realtime was developed by Paul Viola and Michael Jones in 2001. A part of the algorithm is a procedure that computes Haar features. As part of this task, we consider a simplified model of this concept.
Let's consider a rectangular image that is represent... | The first line contains two space-separated integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=100) β the number of rows and columns in the feature.
Next *n* lines contain the description of the feature. Each line consists of *m* characters, the *j*-th character of the *i*-th line equals to "W", if this element of the feature ... | Print a single number β the minimum number of operations that you need to make to calculate the value of the feature. | [
"6 8\nBBBBBBBB\nBBBBBBBB\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\n",
"3 3\nWBW\nBWW\nWWW\n",
"3 6\nWWBBWW\nWWBBWW\nWWBBWW\n",
"4 4\nBBBB\nBBBB\nBBBB\nBBBW\n"
] | [
"2\n",
"4\n",
"3\n",
"4\n"
] | The first sample corresponds to feature *B*, the one shown in the picture. The value of this feature in an image of size 6βΓβ8 equals to the difference of the total brightness of the pixels in the lower and upper half of the image. To calculate its value, perform the following two operations:
1. add the sum of pixels... | [
{
"input": "6 8\nBBBBBBBB\nBBBBBBBB\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW",
"output": "2"
},
{
"input": "3 3\nWBW\nBWW\nWWW",
"output": "4"
},
{
"input": "3 6\nWWBBWW\nWWBBWW\nWWBBWW",
"output": "3"
},
{
"input": "4 4\nBBBB\nBBBB\nBBBB\nBBBW",
"output": "4"
},
{
... | 124 | 0 | 3 | 4,898 | |
173 | Chamber of Secrets | [
"dfs and similar",
"shortest paths"
] | null | null | "The Chamber of Secrets has been opened again" β this news has spread all around Hogwarts and some of the students have been petrified due to seeing the basilisk. Dumbledore got fired and now Harry is trying to enter the Chamber of Secrets. These aren't good news for Lord Voldemort. The problem is, he doesn't want anyb... | The first line of the input contains two integer numbers *n* and *m* (2<=β€<=*n*,<=*m*<=β€<=1000). Each of the next *n* lines contains *m* characters. Each character is either "." or "#" and represents one cell of the Chamber grid. It's "." if the corresponding cell is empty and "#" if it's a regular column. | Print the minimum number of columns to make magic or -1 if it's impossible to do. | [
"3 3\n.#.\n...\n.#.\n",
"4 3\n##.\n...\n.#.\n.#.\n"
] | [
"2\n",
"2\n"
] | The figure above shows the first sample test. In the first sample we should make both columns magic. The dragon figure represents the basilisk and the binoculars represent the person who will enter the Chamber of secrets. The black star shows the place where the person will be petrified. Yellow lines represent basilisk... | [
{
"input": "3 3\n.#.\n...\n.#.",
"output": "2"
},
{
"input": "4 3\n##.\n...\n.#.\n.#.",
"output": "2"
},
{
"input": "3 3\n###\n###\n###",
"output": "2"
},
{
"input": "3 4\n..##\n....\n..#.",
"output": "2"
},
{
"input": "4 3\n#.#\n...\n...\n.##",
"output": "2"
... | 2,000 | 1,843,200 | 0 | 4,900 | |
978 | Almost Arithmetic Progression | [
"brute force",
"implementation",
"math"
] | null | null | Polycarp likes arithmetic progressions. A sequence $[a_1, a_2, \dots, a_n]$ is called an arithmetic progression if for each $i$ ($1 \le i < n$) the value $a_{i+1} - a_i$ is the same. For example, the sequences $[42]$, $[5, 5, 5]$, $[2, 11, 20, 29]$ and $[3, 2, 1, 0]$ are arithmetic progressions, but $[1, 0, 1]$, $[1... | The first line contains a single integer $n$ $(1 \le n \le 100\,000)$ β the number of elements in $b$.
The second line contains a sequence $b_1, b_2, \dots, b_n$ $(1 \le b_i \le 10^{9})$. | If it is impossible to make an arithmetic progression with described operations, print -1. In the other case, print non-negative integer β the minimum number of elements to change to make the given sequence becomes an arithmetic progression. The only allowed operation is to add/to subtract one from an element (can't us... | [
"4\n24 21 14 10\n",
"2\n500 500\n",
"3\n14 5 1\n",
"5\n1 3 6 9 12\n"
] | [
"3\n",
"0\n",
"-1\n",
"1\n"
] | In the first example Polycarp should increase the first number on $1$, decrease the second number on $1$, increase the third number on $1$, and the fourth number should left unchanged. So, after Polycarp changed three elements by one, his sequence became equals to $[25, 20, 15, 10]$, which is an arithmetic progression.... | [
{
"input": "4\n24 21 14 10",
"output": "3"
},
{
"input": "2\n500 500",
"output": "0"
},
{
"input": "3\n14 5 1",
"output": "-1"
},
{
"input": "5\n1 3 6 9 12",
"output": "1"
},
{
"input": "1\n1000000000",
"output": "0"
},
{
"input": "2\n1000000000 1",
... | 108 | 14,745,600 | 3 | 4,902 | |
233 | Non-square Equation | [
"binary search",
"brute force",
"math"
] | null | null | Let's consider equation:
where *x*,<=*n* are positive integers, *s*(*x*) is the function, equal to the sum of digits of number *x* in the decimal number system.
You are given an integer *n*, find the smallest positive integer root of equation *x*, or else determine that there are no such roots. | A single line contains integer *n* (1<=β€<=*n*<=β€<=1018) β the equation parameter.
Please, do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use cin, cout streams or the %I64d specifier. | Print -1, if the equation doesn't have integer positive roots. Otherwise print such smallest integer *x* (*x*<=><=0), that the equation given in the statement holds. | [
"2\n",
"110\n",
"4\n"
] | [
"1\n",
"10\n",
"-1\n"
] | In the first test case *x*β=β1 is the minimum root. As *s*(1)β=β1 and 1<sup class="upper-index">2</sup>β+β1Β·1β-β2β=β0.
In the second test case *x*β=β10 is the minimum root. As *s*(10)β=β1β+β0β=β1 and 10<sup class="upper-index">2</sup>β+β1Β·10β-β110β=β0.
In the third test case the equation has no roots. | [
{
"input": "2",
"output": "1"
},
{
"input": "110",
"output": "10"
},
{
"input": "4",
"output": "-1"
},
{
"input": "8",
"output": "2"
},
{
"input": "10000000100000000",
"output": "100000000"
},
{
"input": "10000006999999929",
"output": "99999999"
... | 92 | 0 | 0 | 4,904 | |
0 | none | [
"none"
] | null | null | ΠΡΡΡ *n*-ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π½ΡΠΉ Π΄ΠΎΠΌ, Π² ΠΊΠ°ΠΆΠ΄ΠΎΠΌ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π΅ ΠΏΠΎ *m* ΡΡΠ°ΠΆΠ΅ΠΉ, ΠΈ Π½Π° ΠΊΠ°ΠΆΠ΄ΠΎΠΌ ΡΡΠ°ΠΆΠ΅ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π° ΡΠΎΠ²Π½ΠΎ *k* ΠΊΠ²Π°ΡΡΠΈΡ. Π’Π°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ, Π² Π΄ΠΎΠΌΠ΅ Π²ΡΠ΅Π³ΠΎ *n*Β·*m*Β·*k* ΠΊΠ²Π°ΡΡΠΈΡ. ΠΠ½ΠΈ ΠΏΡΠΎΠ½ΡΠΌΠ΅ΡΠΎΠ²Π°Π½Ρ Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ ΠΎΡ 1 Π΄ΠΎ *n*Β·*m*Β·*k*, ΡΠΎ Π΅ΡΡΡ ΠΏΠ΅ΡΠ²Π°Ρ ΠΊΠ²Π°ΡΡΠΈΡΠ° Π½Π° ΠΏΠ΅ΡΠ²ΠΎΠΌ ΡΡΠ°ΠΆΠ΅ Π² ΠΏΠ΅ΡΠ²ΠΎΠΌ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π΅ ΠΈΠΌΠ΅Π΅Ρ Π½ΠΎΠΌΠ΅Ρ 1, ΠΏΠ΅ΡΠ²Π°Ρ ΠΊΠ²Π°ΡΡΠΈΡΠ° Π½Π° Π²ΡΠΎΡΠΎΠΌ ... | Π ΠΏΠ΅ΡΠ²ΠΎΠΉ ΡΡΡΠΎΠΊΠ΅ Π²Ρ
ΠΎΠ΄Π½ΡΡ
Π΄Π°Π½Π½ΡΡ
ΡΠ»Π΅Π΄ΡΡΡ ΡΡΠΈ ΡΠΈΡΠ»Π° *n*, *m*, *k* (1<=β€<=*n*,<=*m*,<=*k*<=β€<=1000)Β β ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄ΠΎΠ² Π² Π΄ΠΎΠΌΠ΅, ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ ΡΡΠ°ΠΆΠ΅ΠΉ Π² ΠΊΠ°ΠΆΠ΄ΠΎΠΌ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π΅ ΠΈ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ ΠΊΠ²Π°ΡΡΠΈΡ Π½Π° ΠΊΠ°ΠΆΠ΄ΠΎΠΌ ΡΡΠ°ΠΆΠ΅ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π° ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²Π΅Π½Π½ΠΎ.
ΠΠΎ Π²ΡΠΎΡΠΎΠΉ ΡΡΡΠΎΠΊΠ΅ Π²Ρ
ΠΎΠ΄Π½ΡΡ
Π΄Π°Π½Π½ΡΡ
Π·Π°ΠΏΠΈΡΠ°Π½Ρ Π΄Π²Π° ΡΠΈΡΠ»Π° *a* ΠΈ *b* (1<=β€<=*a*,<=*b*<=β€<=*n*Β·... | ΠΡΠ²Π΅Π΄ΠΈΡΠ΅ Π΅Π΄ΠΈΠ½ΡΡΠ²Π΅Π½Π½ΠΎΠ΅ ΡΠ΅Π»ΠΎΠ΅ ΡΠΈΡΠ»ΠΎΒ β ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ΅ Π²ΡΠ΅ΠΌΡ (Π² ΡΠ΅ΠΊΡΠ½Π΄Π°Ρ
), Π·Π° ΠΊΠΎΡΠΎΡΠΎΠ΅ ΠΠ΄Π²Π°ΡΠ΄ ΡΠΌΠΎΠΆΠ΅Ρ Π΄ΠΎΠ±ΡΠ°ΡΡΡΡ ΠΎΡ ΡΠ²ΠΎΠ΅ΠΉ ΠΊΠ²Π°ΡΡΠΈΡΡ Π΄ΠΎ ΠΊΠ²Π°ΡΡΠΈΡΡ ΠΠ°ΡΠ°ΡΠΈ. | [
"4 10 5\n200 6\n",
"3 1 5\n7 2\n"
] | [
"39\n",
"15\n"
] | Π ΠΏΠ΅ΡΠ²ΠΎΠΌ ΡΠ΅ΡΡΠΎΠ²ΠΎΠΌ ΠΏΡΠΈΠΌΠ΅ΡΠ΅ ΠΠ΄Π²Π°ΡΠ΄ Π½Π°Ρ
ΠΎΠ΄ΠΈΡΡΡ Π² 4 ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π΅ Π½Π° 10 ΡΡΠ°ΠΆΠ΅, Π° ΠΠ°ΡΠ°ΡΠ° Π½Π°Ρ
ΠΎΠ΄ΠΈΡΡΡ Π² 1 ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π΅ Π½Π° 2 ΡΡΠ°ΠΆΠ΅. ΠΠΎΡΡΠΎΠΌΡ ΠΠ΄Π²Π°ΡΠ΄Ρ Π²ΡΠ³ΠΎΠ΄Π½ΠΎ ΡΠ½Π°ΡΠ°Π»Π° ΡΠΏΡΡΡΠΈΡΡΡΡ Π½Π° Π»ΠΈΡΡΠ΅ Π½Π° ΠΏΠ΅ΡΠ²ΡΠΉ ΡΡΠ°ΠΆ (Π½Π° ΡΡΠΎ ΠΎΠ½ ΠΏΠΎΡΡΠ°ΡΠΈΡ 19 ΡΠ΅ΠΊΡΠ½Π΄, ΠΈΠ· ΠΊΠΎΡΠΎΡΡΡ
10Β β Π½Π° ΠΎΠΆΠΈΠ΄Π°Π½ΠΈΠ΅ ΠΈ 9Β β Π½Π° ΠΏΠΎΠ΅Π·Π΄ΠΊΡ Π½Π° Π»ΠΈΡΡΠ΅), Π·Π°ΡΠ΅ΠΌ ΠΎΠ±ΠΎΠΉΡΠΈ Π΄ΠΎΠΌ ΠΏΡΠΎΡΠΈΠ² ΡΠ°ΡΠΎΠ²ΠΎΠΉ ΡΡΡΠ΅Π»ΠΊΠΈ Π΄ΠΎ ΠΏΠΎΠ΄ΡΠ΅Π·Π΄Π° Π½... | [
{
"input": "4 10 5\n200 6",
"output": "39"
},
{
"input": "3 1 5\n7 2",
"output": "15"
},
{
"input": "100 100 100\n1 1000000",
"output": "124"
},
{
"input": "1000 1000 1000\n1 1000000000",
"output": "1024"
},
{
"input": "125 577 124\n7716799 6501425",
"output":... | 62 | 4,608,000 | -1 | 4,906 | |
612 | HDD is Outdated Technology | [
"implementation",
"math"
] | null | null | HDD hard drives group data by sectors. All files are split to fragments and each of them are written in some sector of hard drive. Note the fragments can be written in sectors in arbitrary order.
One of the problems of HDD hard drives is the following: the magnetic head should move from one sector to another to read s... | The first line contains a positive integer *n* (1<=β€<=*n*<=β€<=2Β·105) β the number of fragments.
The second line contains *n* different integers *f**i* (1<=β€<=*f**i*<=β€<=*n*) β the number of the fragment written in the *i*-th sector. | Print the only integer β the number of time units needed to read the file. | [
"3\n3 1 2\n",
"5\n1 3 5 4 2\n"
] | [
"3\n",
"10\n"
] | In the second example the head moves in the following way:
- 1->2 means movement from the sector 1 to the sector 5, i.e. it takes 4 time units - 2->3 means movement from the sector 5 to the sector 2, i.e. it takes 3 time units - 3->4 means movement from the sector 2 to the sector 4, i.e. it takes 2 time un... | [
{
"input": "3\n3 1 2",
"output": "3"
},
{
"input": "5\n1 3 5 4 2",
"output": "10"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "10\n8 2 10 3 4 6 1 7 9 5",
"output": "40"
... | 155 | 57,446,400 | 3 | 4,908 | |
494 | Treasure | [
"greedy"
] | null | null | Malek has recently found a treasure map. While he was looking for a treasure he found a locked door. There was a string *s* written on the door consisting of characters '(', ')' and '#'. Below there was a manual on how to open the door. After spending a long time Malek managed to decode the manual and found out that th... | The first line of the input contains a string *s* (1<=β€<=|*s*|<=β€<=105). Each character of this string is one of the characters '(', ')' or '#'. It is guaranteed that *s* contains at least one '#' character. | If there is no way of replacing '#' characters which leads to a beautiful string print <=-<=1. Otherwise for each character '#' print a separate line containing a positive integer, the number of ')' characters this character must be replaced with.
If there are several possible answers, you may output any of them. | [
"(((#)((#)\n",
"()((#((#(#()\n",
"#\n",
"(#)\n"
] | [
"1\n2\n",
"2\n2\n1",
"-1\n",
"-1\n"
] | |*s*| denotes the length of the string *s*. | [
{
"input": "(((#)((#)",
"output": "1\n2"
},
{
"input": "()((#((#(#()",
"output": "1\n1\n3"
},
{
"input": "#",
"output": "-1"
},
{
"input": "(#)",
"output": "-1"
},
{
"input": "(((((#(#(#(#()",
"output": "1\n1\n1\n5"
},
{
"input": "#))))",
"output":... | 77 | 307,200 | 0 | 4,922 | |
741 | Arpaβs overnight party and Mehrdadβs silent entering | [
"constructive algorithms",
"dfs and similar",
"graphs"
] | null | null | Note that girls in Arpaβs land are really attractive.
Arpa loves overnight parties. In the middle of one of these parties Mehrdad suddenly appeared. He saw *n* pairs of friends sitting around a table. *i*-th pair consisted of a boy, sitting on the *a**i*-th chair, and his girlfriend, sitting on the *b**i*-th chair. Th... | The first line contains an integer *n* (1<=<=β€<=<=*n*<=<=β€<=<=105)Β β the number of pairs of guests.
The *i*-th of the next *n* lines contains a pair of integers *a**i* and *b**i* (1<=<=β€<=*a**i*,<=*b**i*<=β€<=<=2*n*)Β β the number of chair on which the boy in the *i*-th pair was sitting and the number of chair on which ... | If there is no solution, print -1.
Otherwise print *n* lines, the *i*-th of them should contain two integers which represent the type of food for the *i*-th pair. The first integer in the line is the type of food the boy had, and the second integer is the type of food the girl had. If someone had Kooft, print 1, other... | [
"3\n1 4\n2 5\n3 6\n"
] | [
"1 2\n2 1\n1 2\n"
] | none | [
{
"input": "3\n1 4\n2 5\n3 6",
"output": "1 2\n2 1\n1 2"
},
{
"input": "6\n3 2\n5 11\n7 12\n6 9\n8 4\n1 10",
"output": "1 2\n1 2\n2 1\n2 1\n1 2\n1 2"
},
{
"input": "19\n30 27\n6 38\n10 28\n20 5\n14 18\n32 2\n36 29\n12 1\n31 24\n15 4\n35 11\n3 7\n21 17\n25 19\n16 8\n23 22\n37 33\n13 9\n34... | 327 | 40,755,200 | -1 | 4,931 | |
50 | Choosing Symbol Pairs | [
"strings"
] | B. Choosing Symbol Pairs | 2 | 256 | There is a given string *S* consisting of *N* symbols. Your task is to find the number of ordered pairs of integers *i* and *j* such that
1. 1<=β€<=*i*,<=*j*<=β€<=*N*
2. *S*[*i*]<==<=*S*[*j*], that is the *i*-th symbol of string *S* is equal to the *j*-th. | The single input line contains *S*, consisting of lowercase Latin letters and digits. It is guaranteed that string *S* in not empty and its length does not exceed 105. | Print a single number which represents the number of pairs *i* and *j* with the needed property. Pairs (*x*,<=*y*) and (*y*,<=*x*) should be considered different, i.e. the ordered pairs count. | [
"great10\n",
"aaaaaaaaaa\n"
] | [
"7\n",
"100\n"
] | none | [
{
"input": "great10",
"output": "7"
},
{
"input": "aaaaaaaaaa",
"output": "100"
},
{
"input": "great10",
"output": "7"
},
{
"input": "aaaaaaaaaa",
"output": "100"
},
{
"input": "aabb",
"output": "8"
},
{
"input": "w",
"output": "1"
},
{
"in... | 2,000 | 2,252,800 | 0 | 4,935 |
818 | Diplomas and Certificates | [
"implementation",
"math"
] | null | null | There are *n* students who have taken part in an olympiad. Now it's time to award the students.
Some of them will receive diplomas, some wiil get certificates, and others won't receive anything. Students with diplomas and certificates are called winners. But there are some rules of counting the number of diplomas and ... | The first (and the only) line of input contains two integers *n* and *k* (1<=β€<=*n*,<=*k*<=β€<=1012), where *n* is the number of students and *k* is the ratio between the number of certificates and the number of diplomas. | Output three numbers: the number of students with diplomas, the number of students with certificates and the number of students who are not winners in case when the number of winners is maximum possible.
It's possible that there are no winners. | [
"18 2\n",
"9 10\n",
"1000000000000 5\n",
"1000000000000 499999999999\n"
] | [
"3 6 9\n",
"0 0 9\n",
"83333333333 416666666665 500000000002\n",
"1 499999999999 500000000000\n"
] | none | [
{
"input": "18 2",
"output": "3 6 9"
},
{
"input": "9 10",
"output": "0 0 9"
},
{
"input": "1000000000000 5",
"output": "83333333333 416666666665 500000000002"
},
{
"input": "1000000000000 499999999999",
"output": "1 499999999999 500000000000"
},
{
"input": "1 1",... | 155 | 0 | 3 | 4,957 | |
832 | Petya and Exam | [
"implementation",
"strings"
] | null | null | It's hard times now. Today Petya needs to score 100 points on Informatics exam. The tasks seem easy to Petya, but he thinks he lacks time to finish them all, so he asks you to help with one..
There is a glob pattern in the statements (a string consisting of lowercase English letters, characters "?" and "*"). It is kno... | The first line contains a string with length from 1 to 26 consisting of distinct lowercase English letters. These letters are good letters, all the others are bad.
The second line contains the patternΒ β a string *s* of lowercase English letters, characters "?" and "*" (1<=β€<=|*s*|<=β€<=105). It is guaranteed that chara... | Print *n* lines: in the *i*-th of them print "YES" if the pattern matches the *i*-th query string, and "NO" otherwise.
You can choose the case (lower or upper) for each letter arbitrary. | [
"ab\na?a\n2\naaa\naab\n",
"abc\na?a?a*\n4\nabacaba\nabaca\napapa\naaaaax\n"
] | [
"YES\nNO\n",
"NO\nYES\nNO\nYES\n"
] | In the first example we can replace "?" with good letters "a" and "b", so we can see that the answer for the first query is "YES", and the answer for the second query is "NO", because we can't match the third letter.
Explanation of the second example.
- The first query: "NO", because character "*" can be replaced w... | [
{
"input": "ab\na?a\n2\naaa\naab",
"output": "YES\nNO"
},
{
"input": "abc\na?a?a*\n4\nabacaba\nabaca\napapa\naaaaax",
"output": "NO\nYES\nNO\nYES"
},
{
"input": "s\nc*?cb\n26\nbbaa\nb\ncc\ncbaab\nacacc\nca\na\nc\ncb\nabb\nba\nb\nba\ncac\nccccb\nccb\nbbbc\nabbcb\na\nbc\nc\na\nabb\nca\ncac... | 374 | 8,806,400 | 0 | 4,966 | |
209 | Multicolored Marbles | [
"dp",
"math"
] | null | null | Polycarpus plays with red and blue marbles. He put *n* marbles from the left to the right in a row. As it turned out, the marbles form a zebroid.
A non-empty sequence of red and blue marbles is a zebroid, if the colors of the marbles in this sequence alternate. For example, sequences (red; blue; red) and (blue) are ze... | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=106) β the number of marbles in Polycarpus's sequence. | Print a single number β the answer to the problem modulo 1000000007 (109<=+<=7). | [
"3\n",
"4\n"
] | [
"6\n",
"11\n"
] | Let's consider the first test sample. Let's assume that Polycarpus initially had sequence (red; blue; red), so there are six ways to pick a zebroid:
- pick the first marble; - pick the second marble; - pick the third marble; - pick the first and second marbles; - pick the second and third marbles; - pick the fi... | [
{
"input": "3",
"output": "6"
},
{
"input": "4",
"output": "11"
},
{
"input": "1",
"output": "1"
},
{
"input": "2",
"output": "3"
},
{
"input": "5",
"output": "19"
},
{
"input": "6",
"output": "32"
},
{
"input": "7",
"output": "53"
},... | 2,000 | 13,516,800 | 0 | 4,971 | |
670 | Cinema | [
"implementation",
"sortings"
] | null | null | Moscow is hosting a major international conference, which is attended by *n* scientists from different countries. Each of the scientists knows exactly one language. For convenience, we enumerate all languages of the world with integers from 1 to 109.
In the evening after the conference, all *n* scientists decided to g... | The first line of the input contains a positive integer *n* (1<=β€<=*n*<=β€<=200<=000)Β β the number of scientists.
The second line contains *n* positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=109), where *a**i* is the index of a language, which the *i*-th scientist knows.
The third line contains a positi... | Print the single integerΒ β the index of a movie to which scientists should go. After viewing this movie the number of very pleased scientists should be maximum possible. If in the cinema there are several such movies, you need to choose among them one, after viewing which there will be the maximum possible number of al... | [
"3\n2 3 2\n2\n3 2\n2 3\n",
"6\n6 3 1 1 3 7\n5\n1 2 3 4 5\n2 3 4 5 1\n"
] | [
"2\n",
"1\n"
] | In the first sample, scientists must go to the movie with the index 2, as in such case the 1-th and the 3-rd scientists will be very pleased and the 2-nd scientist will be almost satisfied.
In the second test case scientists can go either to the movie with the index 1 or the index 3. After viewing any of these movies ... | [
{
"input": "3\n2 3 2\n2\n3 2\n2 3",
"output": "2"
},
{
"input": "6\n6 3 1 1 3 7\n5\n1 2 3 4 5\n2 3 4 5 1",
"output": "1"
},
{
"input": "1\n10\n1\n10\n3",
"output": "1"
},
{
"input": "2\n1 6\n1\n6\n1",
"output": "1"
},
{
"input": "1\n5\n2\n2 2\n5 5",
"output": ... | 623 | 31,539,200 | 3 | 4,975 | |
0 | none | [
"none"
] | null | null | Innokenty is a president of a new football league in Byteland. The first task he should do is to assign short names to all clubs to be shown on TV next to the score. Of course, the short names should be distinct, and Innokenty wants that all short names consist of three letters.
Each club's full name consist of two wo... | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=1000)Β β the number of clubs in the league.
Each of the next *n* lines contains two wordsΒ β the team's name and the hometown's name for some club. Both team's name and hometown's name consist of uppercase English letters and have length at least 3 and at most ... | It it is not possible to choose short names and satisfy all constraints, print a single line "NO".
Otherwise, in the first line print "YES". Then print *n* lines, in each line print the chosen short name for the corresponding club. Print the clubs in the same order as they appeared in input.
If there are multiple ans... | [
"2\nDINAMO BYTECITY\nFOOTBALL MOSCOW\n",
"2\nDINAMO BYTECITY\nDINAMO BITECITY\n",
"3\nPLAYFOOTBALL MOSCOW\nPLAYVOLLEYBALL SPB\nGOGO TECHNOCUP\n",
"3\nABC DEF\nABC EFG\nABD OOO\n"
] | [
"YES\nDIN\nFOO\n",
"NO\n",
"YES\nPLM\nPLS\nGOG\n",
"YES\nABD\nABE\nABO\n"
] | In the first sample Innokenty can choose first option for both clubs.
In the second example it is not possible to choose short names, because it is not possible that one club has first option, and the other has second option if the first options are equal for both clubs.
In the third example Innokenty can choose the ... | [
{
"input": "2\nDINAMO BYTECITY\nFOOTBALL MOSCOW",
"output": "YES\nDIN\nFOO"
},
{
"input": "2\nDINAMO BYTECITY\nDINAMO BITECITY",
"output": "NO"
},
{
"input": "3\nPLAYFOOTBALL MOSCOW\nPLAYVOLLEYBALL SPB\nGOGO TECHNOCUP",
"output": "YES\nPLM\nPLS\nGOG"
},
{
"input": "3\nABC DEF... | 62 | 5,120,000 | 0 | 4,978 | |
444 | DZY Loves Colors | [
"data structures"
] | null | null | DZY loves colors, and he enjoys painting.
On a colorful day, DZY gets a colorful ribbon, which consists of *n* units (they are numbered from 1 to *n* from left to right). The color of the *i*-th unit of the ribbon is *i* at first. It is colorful enough, but we still consider that the colorfulness of each unit is 0 at ... | The first line contains two space-separated integers *n*,<=*m*Β (1<=β€<=*n*,<=*m*<=β€<=105).
Each of the next *m* lines begins with a integer *type*Β (1<=β€<=*type*<=β€<=2), which represents the type of this operation.
If *type*<==<=1, there will be 3 more integers *l*,<=*r*,<=*x*Β (1<=β€<=*l*<=β€<=*r*<=β€<=*n*;Β 1<=β€<=*x*<=β€<=... | For each operation 2, print a line containing the answer β sum of colorfulness. | [
"3 3\n1 1 2 4\n1 2 3 5\n2 1 3\n",
"3 4\n1 1 3 4\n2 1 1\n2 2 2\n2 3 3\n",
"10 6\n1 1 5 3\n1 2 7 9\n1 10 10 11\n1 3 8 12\n1 1 10 3\n2 1 10\n"
] | [
"8\n",
"3\n2\n1\n",
"129\n"
] | In the first sample, the color of each unit is initially [1,β2,β3], and the colorfulness is [0,β0,β0].
After the first operation, colors become [4,β4,β3], colorfulness become [3,β2,β0].
After the second operation, colors become [4,β5,β5], colorfulness become [3,β3,β2].
So the answer to the only operation of type 2 i... | [
{
"input": "3 3\n1 1 2 4\n1 2 3 5\n2 1 3",
"output": "8"
},
{
"input": "3 4\n1 1 3 4\n2 1 1\n2 2 2\n2 3 3",
"output": "3\n2\n1"
},
{
"input": "10 6\n1 1 5 3\n1 2 7 9\n1 10 10 11\n1 3 8 12\n1 1 10 3\n2 1 10",
"output": "129"
},
{
"input": "3 3\n1 2 2 31844623\n1 1 2 37662529\n... | 2,000 | 4,403,200 | 0 | 4,979 | |
662 | International Olympiad | [
"constructive algorithms",
"greedy",
"implementation",
"math"
] | null | null | International Abbreviation Olympiad takes place annually starting from 1989. Each year the competition receives an abbreviation of form IAO'y, where *y* stands for some number of consequent last digits of the current year. Organizers always pick an abbreviation with non-empty string *y* that has never been used before.... | The first line of the input contains a single integer *n* (1<=β€<=*n*<=β€<=1000)Β β the number of abbreviations to process.
Then *n* lines follow, each containing a single abbreviation. It's guaranteed that each abbreviation contains at most nine digits. | For each abbreviation given in the input, find the year of the corresponding Olympiad. | [
"5\nIAO'15\nIAO'2015\nIAO'1\nIAO'9\nIAO'0\n",
"4\nIAO'9\nIAO'99\nIAO'999\nIAO'9999\n"
] | [
"2015\n12015\n1991\n1989\n1990\n",
"1989\n1999\n2999\n9999\n"
] | none | [
{
"input": "5\nIAO'15\nIAO'2015\nIAO'1\nIAO'9\nIAO'0",
"output": "2015\n12015\n1991\n1989\n1990"
},
{
"input": "4\nIAO'9\nIAO'99\nIAO'999\nIAO'9999",
"output": "1989\n1999\n2999\n9999"
},
{
"input": "1\nIAO'111110",
"output": "1111110"
},
{
"input": "2\nIAO'0\nIAO'00",
"o... | 46 | 0 | 3 | 4,984 | |
222 | Reducing Fractions | [
"implementation",
"math",
"number theory",
"sortings"
] | null | null | To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives the fraction numerator, the product of numbers from the second set gives the fraction denominator. However, it turned out that t... | The first input line contains two space-separated integers *n*, *m* (1<=β€<=*n*,<=*m*<=β€<=105) that show how many numbers the first set (the numerator) and the second set (the denominator) contain, correspondingly.
The second line contains *n* space-separated integers: *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=107) ... | Print the answer to the problem in the form, similar to the form of the input data. The number of values in the sets you print *n**out*,<=*m**out* must satisfy the inequality 1<=β€<=*n**out*,<=*m**out*<=β€<=105, and the actual values in the sets *a**out*,<=*i* and *b**out*,<=*i* must satisfy the inequality 1<=β€<=*a**out*... | [
"3 2\n100 5 2\n50 10\n",
"4 3\n2 5 10 20\n100 1 3\n"
] | [
"2 3\n2 1\n1 1 1\n",
"1 1\n20\n3\n"
] | In the first test sample the numerator equals 1000, the denominator equals 500. If we reduce fraction 1000/500 by the greatest common divisor of the numerator and the denominator (by 500), we obtain fraction 2/1.
In the second test sample the numerator equals 2000, the denominator equals 300. If we reduce fraction 200... | [
{
"input": "3 2\n100 5 2\n50 10",
"output": "2 3\n2 1\n1 1 1"
},
{
"input": "4 3\n2 5 10 20\n100 1 3",
"output": "1 1\n20\n3"
},
{
"input": "2 3\n50 10\n100 5 2",
"output": "2 3\n1 1 \n2 1 1 "
},
{
"input": "1 1\n1\n1",
"output": "1 1\n1 \n1 "
},
{
"input": "3 2\n... | 904 | 135,577,600 | 0 | 4,988 | |
359 | Prime Number | [
"math",
"number theory"
] | null | null | Simon has a prime number *x* and an array of non-negative integers *a*1,<=*a*2,<=...,<=*a**n*.
Simon loves fractions very much. Today he wrote out number on a piece of paper. After Simon led all fractions to a common denominator and summed them up, he got a fraction: , where number *t* equals *x**a*1<=+<=*a*2<=+<=...... | The first line contains two positive integers *n* and *x* (1<=β€<=*n*<=β€<=105, 2<=β€<=*x*<=β€<=109) β the size of the array and the prime number.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (0<=β€<=*a*1<=β€<=*a*2<=β€<=...<=β€<=*a**n*<=β€<=109). | Print a single number β the answer to the problem modulo 1000000007 (109<=+<=7). | [
"2 2\n2 2\n",
"3 3\n1 2 3\n",
"2 2\n29 29\n",
"4 5\n0 0 0 0\n"
] | [
"8\n",
"27\n",
"73741817\n",
"1\n"
] | In the first sample <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7745f7cc87c6c5f753e3414fad9baa3b1e3fea48.png" style="max-width: 100.0%;max-height: 100.0%;"/>. Thus, the answer to the problem is 8.
In the second sample, <img align="middle" class="tex-formula" src="https://espresso.codef... | [
{
"input": "2 2\n2 2",
"output": "8"
},
{
"input": "3 3\n1 2 3",
"output": "27"
},
{
"input": "2 2\n29 29",
"output": "73741817"
},
{
"input": "4 5\n0 0 0 0",
"output": "1"
},
{
"input": "1 2\n1000000000",
"output": "1"
},
{
"input": "26 2\n0 0 0 0 0 0... | 234 | 31,129,600 | 0 | 4,993 | |
22 | Scheme | [
"dfs and similar",
"graphs",
"trees"
] | E. Scheme | 2 | 256 | To learn as soon as possible the latest news about their favourite fundamentally new operating system, BolgenOS community from Nizhni Tagil decided to develop a scheme. According to this scheme a community member, who is the first to learn the news, calls some other member, the latter, in his turn, calls some third mem... | The first input line contains number *n* (2<=β€<=*n*<=β€<=105) β amount of BolgenOS community members. The second line contains *n* space-separated integer numbers *f**i* (1<=β€<=*f**i*<=β€<=*n*,<=*i*<=β <=*f**i*) β index of a person, to whom calls a person with index *i*. | In the first line output one number β the minimum amount of instructions to add. Then output one of the possible variants to add these instructions into the scheme, one instruction in each line. If the solution is not unique, output any. | [
"3\n3 3 2\n",
"7\n2 3 1 3 4 4 1\n"
] | [
"1\n3 1\n",
"3\n2 5\n2 6\n3 7\n"
] | none | [
{
"input": "3\n3 3 2",
"output": "1\n3 1"
},
{
"input": "7\n2 3 1 3 4 4 1",
"output": "3\n1 5\n1 6\n1 7"
},
{
"input": "2\n2 1",
"output": "0"
},
{
"input": "3\n2 3 1",
"output": "0"
},
{
"input": "4\n2 4 4 3",
"output": "1\n4 1"
},
{
"input": "5\n5 3 ... | 248 | 56,934,400 | -1 | 4,994 |
722 | Generating Sets | [
"binary search",
"data structures",
"dfs and similar",
"greedy",
"strings",
"trees"
] | null | null | You are given a set *Y* of *n* distinct positive integers *y*1,<=*y*2,<=...,<=*y**n*.
Set *X* of *n* distinct positive integers *x*1,<=*x*2,<=...,<=*x**n* is said to generate set *Y* if one can transform *X* to *Y* by applying some number of the following two operation to integers in *X*:
1. Take any integer *x**i* ... | The first line of the input contains a single integer *n* (1<=β€<=*n*<=β€<=50<=000)Β β the number of elements in *Y*.
The second line contains *n* integers *y*1,<=...,<=*y**n* (1<=β€<=*y**i*<=β€<=109), that are guaranteed to be distinct. | Print *n* integersΒ β set of distinct integers that generate *Y* and the maximum element of which is minimum possible. If there are several such sets, print any of them. | [
"5\n1 2 3 4 5\n",
"6\n15 14 3 13 1 12\n",
"6\n9 7 13 17 5 11\n"
] | [
"4 5 2 3 1 \n",
"12 13 14 7 3 1 \n",
"4 5 2 6 3 1 \n"
] | none | [
{
"input": "5\n1 2 3 4 5",
"output": "4 5 2 3 1 "
},
{
"input": "6\n15 14 3 13 1 12",
"output": "12 13 14 7 3 1 "
},
{
"input": "6\n9 7 13 17 5 11",
"output": "4 5 2 6 3 1 "
},
{
"input": "10\n18 14 19 17 11 7 20 10 4 12",
"output": "8 9 4 10 5 2 6 7 3 1 "
},
{
"i... | 733 | 27,136,000 | 3 | 5,005 | |
253 | Text Editor | [
"data structures",
"dfs and similar",
"graphs",
"greedy",
"shortest paths"
] | null | null | Vasya is pressing the keys on the keyboard reluctantly, squeezing out his ideas on the classical epos depicted in Homer's Odysseus... How can he explain to his literature teacher that he isn't going to become a writer? In fact, he is going to become a programmer. So, he would take great pleasure in writing a program, b... | The first line of the input contains an integer *n* (1<=β€<=*n*<=β€<=100) β the number of lines in the file. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=β€<=*a**i*<=β€<=105), separated by single spaces. The third line contains four integers *r*1,<=*c*1,<=*r*2,<=*c*2 (1<=β€<=*r*1,<=*r*2<=β€<=*n*,<=1<=... | Print a single integer β the minimum number of times Vasya should push a key to move the cursor from position (*r*1,<=*c*1) to position (*r*2,<=*c*2). | [
"4\n2 1 6 4\n3 4 4 2\n",
"4\n10 5 6 4\n1 11 4 2\n",
"3\n10 1 10\n1 10 1 1\n"
] | [
"3\n",
"6\n",
"3\n"
] | In the first sample the editor contains four lines. Let's represent the cursor's possible positions in the line as numbers. Letter *s* represents the cursor's initial position, letter *t* represents the last one. Then all possible positions of the cursor in the text editor are described by the following table.
123
12... | [
{
"input": "4\n2 1 6 4\n3 4 4 2",
"output": "3"
},
{
"input": "4\n10 5 6 4\n1 11 4 2",
"output": "6"
},
{
"input": "3\n10 1 10\n1 10 1 1",
"output": "3"
},
{
"input": "4\n2 1 6 4\n4 2 3 5",
"output": "4"
},
{
"input": "3\n20 3 20\n1 20 1 1",
"output": "5"
},... | 122 | 2,867,200 | -1 | 5,007 | |
819 | Mister B and Flight to the Moon | [
"constructive algorithms",
"graphs"
] | null | null | In order to fly to the Moon Mister B just needs to solve the following problem.
There is a complete indirected graph with *n* vertices. You need to cover it with several simple cycles of length 3 and 4 so that each edge is in exactly 2 cycles.
We are sure that Mister B will solve the problem soon and will fly to the ... | The only line contains single integer *n* (3<=β€<=*n*<=β€<=300). | If there is no answer, print -1.
Otherwise, in the first line print *k* (1<=β€<=*k*<=β€<=*n*2)Β β the number of cycles in your solution.
In each of the next *k* lines print description of one cycle in the following format: first print integer *m* (3<=β€<=*m*<=β€<=4)Β β the length of the cycle, then print *m* integers *v*1,... | [
"3\n",
"5\n"
] | [
"2\n3 1 2 3\n3 1 2 3\n",
"6\n3 5 4 2\n3 3 1 5\n4 4 5 2 3\n4 4 3 2 1\n3 4 2 1\n3 3 1 5\n"
] | none | [
{
"input": "3",
"output": "2\n3 1 2 3\n3 1 2 3"
},
{
"input": "5",
"output": "6\n3 1 2 3\n3 2 3 4\n3 3 4 5\n3 4 5 1\n4 2 1 3 5\n4 5 1 4 2"
},
{
"input": "299",
"output": "22350\n4 2 3 1 4\n4 1 4 299 5\n4 299 5 298 6\n4 298 6 297 7\n4 297 7 296 8\n4 296 8 295 9\n4 295 9 294 10\n4 294 ... | 46 | 0 | 0 | 5,013 | |
525 | Pasha and String | [
"constructive algorithms",
"greedy",
"math",
"strings"
] | null | null | Pasha got a very beautiful string *s* for his birthday, the string consists of lowercase Latin letters. The letters in the string are numbered from 1 to |*s*| from left to right, where |*s*| is the length of the given string.
Pasha didn't like his present very much so he decided to change it. After his birthday Pasha ... | The first line of the input contains Pasha's string *s* of length from 2 to 2Β·105 characters, consisting of lowercase Latin letters.
The second line contains a single integer *m* (1<=β€<=*m*<=β€<=105)Β βΒ the number of days when Pasha changed his string.
The third line contains *m* space-separated elements *a**i* (1<=β€<... | In the first line of the output print what Pasha's string *s* will look like after *m* days. | [
"abcdef\n1\n2\n",
"vwxyz\n2\n2 2\n",
"abcdef\n3\n1 2 3\n"
] | [
"aedcbf\n",
"vwxyz\n",
"fbdcea\n"
] | none | [
{
"input": "abcdef\n1\n2",
"output": "aedcbf"
},
{
"input": "vwxyz\n2\n2 2",
"output": "vwxyz"
},
{
"input": "abcdef\n3\n1 2 3",
"output": "fbdcea"
},
{
"input": "jc\n5\n1 1 1 1 1",
"output": "cj"
},
{
"input": "wljqgdlxyc\n13\n3 4 3 3 5 4 4 2 4 4 5 3 3",
"out... | 2,000 | 7,372,800 | 0 | 5,022 | |
183 | Zoo | [
"brute force",
"geometry"
] | null | null | The Zoo in the Grid Kingdom is represented by an infinite grid. The Zoo has *n* observation binoculars located at the *OX* axis. For each *i* between 1 and *n*, inclusive, there exists a single binocular located at the point with coordinates (*i*,<=0). There are *m* flamingos in the Zoo, located at points with positive... | The first line contains two space-separated integers *n* and *m* (1<=β€<=*n*<=β€<=106,<=1<=β€<=*m*<=β€<=250), denoting the number of binoculars and the number of flamingos, respectively.
Then *m* lines follow, the *i*-th line will contain two space-separated integers *x**i* and *y**i* (1<=β€<=*x**i*,<=*y**i*<=β€<=109), whic... | Print a single integer denoting the maximum total number of flamingos that can be seen by all the binoculars. | [
"5 5\n2 1\n4 1\n3 2\n4 3\n4 4\n"
] | [
"11\n"
] | This picture shows the answer to the example test case. | [
{
"input": "5 5\n2 1\n4 1\n3 2\n4 3\n4 4",
"output": "11"
},
{
"input": "3 3\n1 1\n2 10\n3 100",
"output": "3"
},
{
"input": "1 2\n450000001 500000000\n900000001 1000000000",
"output": "2"
},
{
"input": "3 6\n1 1\n1 2\n1 3\n2 1\n2 2\n3 1",
"output": "7"
},
{
"inpu... | 2,000 | 253,132,800 | 0 | 5,030 | |
17 | Palisection | [
"strings"
] | E. Palisection | 2 | 128 | In an English class Nick had nothing to do at all, and remembered about wonderful strings called palindromes. We should remind you that a string is called a palindrome if it can be read the same way both from left to right and from right to left. Here are examples of such strings: Β«eyeΒ», Β«popΒ», Β«levelΒ», Β«abaΒ», Β«deedΒ», ... | The first input line contains integer *n* (1<=β€<=*n*<=β€<=2Β·106) β length of the text. The following line contains *n* lower-case Latin letters (from a to z). | In the only line output the amount of different pairs of two subpalindromes that cross each other. Output the answer modulo 51123987. | [
"4\nbabb\n",
"2\naa\n"
] | [
"6\n",
"2\n"
] | none | [] | 60 | 0 | 0 | 5,033 |
55 | Pie or die | [
"games"
] | C. Pie or die | 2 | 256 | Volodya and Vlad play the following game. There are *k* pies at the cells of *n*<=<=Γ<=<=*m* board. Each turn Volodya moves one pie to the neighbouring (by side) cell. If the pie lies at the border of the board then Volodya can move it outside the board, get the pie and win. After Volodya's move, Vlad bans some edge at... | First line contains 3 integers, separated by space: 1<=β€<=*n*,<=*m*<=β€<=100 β dimensions of the board and 0<=β€<=*k*<=β€<=100 β the number of pies. Each of the next *k* lines contains 2 integers, separated by space: 1<=β€<=*x*<=β€<=*n*, 1<=β€<=*y*<=β€<=*m* β coordinates of the corresponding pie. There could be more than one ... | Output only one word: "YES" β if Volodya wins, "NO" β otherwise. | [
"2 2 1\n1 2\n",
"3 4 0\n",
"100 50 2\n50 25\n50 25\n"
] | [
"YES",
"NO",
"NO"
] | none | [
{
"input": "2 2 1\n1 2",
"output": "YES"
},
{
"input": "3 4 0",
"output": "NO"
},
{
"input": "100 50 2\n50 25\n50 25",
"output": "NO"
},
{
"input": "20 20 4\n10 10\n10 10\n10 10\n10 10",
"output": "NO"
},
{
"input": "15 15 1\n8 8",
"output": "NO"
},
{
... | 124 | 0 | 0 | 5,048 |
711 | Coloring Trees | [
"dp"
] | null | null | ZS the Coder and Chris the Baboon has arrived at Udayland! They walked in the park where *n* trees grow. They decided to be naughty and color the trees in the park. The trees are numbered with integers from 1 to *n* from left to right.
Initially, tree *i* has color *c**i*. ZS the Coder and Chris the Baboon recognizes ... | The first line contains three integers, *n*, *m* and *k* (1<=β€<=*k*<=β€<=*n*<=β€<=100, 1<=β€<=*m*<=β€<=100)Β β the number of trees, number of colors and beauty of the resulting coloring respectively.
The second line contains *n* integers *c*1,<=*c*2,<=...,<=*c**n* (0<=β€<=*c**i*<=β€<=*m*), the initial colors of the trees. *c... | Print a single integer, the minimum amount of paint needed to color the trees. If there are no valid tree colorings of beauty *k*, print <=-<=1. | [
"3 2 2\n0 0 0\n1 2\n3 4\n5 6\n",
"3 2 2\n2 1 2\n1 3\n2 4\n3 5\n",
"3 2 2\n2 0 0\n1 3\n2 4\n3 5\n",
"3 2 3\n2 1 2\n1 3\n2 4\n3 5\n"
] | [
"10",
"-1",
"5",
"0"
] | In the first sample case, coloring the trees with colors 2,β1,β1 minimizes the amount of paint used, which equals to 2β+β3β+β5β=β10. Note that 1,β1,β1 would not be valid because the beauty of such coloring equals to 1 ({1,β1,β1} is a way to group the trees into a single group of the same color).
In the second sample c... | [
{
"input": "3 2 2\n0 0 0\n1 2\n3 4\n5 6",
"output": "10"
},
{
"input": "3 2 2\n2 1 2\n1 3\n2 4\n3 5",
"output": "-1"
},
{
"input": "3 2 2\n2 0 0\n1 3\n2 4\n3 5",
"output": "5"
},
{
"input": "3 2 3\n2 1 2\n1 3\n2 4\n3 5",
"output": "0"
},
{
"input": "3 2 3\n0 0 0\n... | 2,000 | 37,478,400 | 0 | 5,052 | |
883 | Automatic Door | [
"implementation"
] | null | null | There is an automatic door at the entrance of a factory. The door works in the following way:
- when one or several people come to the door and it is closed, the door immediately opens automatically and all people immediately come inside, - when one or several people come to the door and it is open, all people immed... | The first line contains four integers *n*, *m*, *a* and *d* (1<=β€<=*n*,<=*a*<=β€<=109, 1<=β€<=*m*<=β€<=105, 1<=β€<=*d*<=β€<=1018) β the number of the employees, the number of the clients, the moment of time when the first employee will come and the period of time in which the door closes.
The second line contains integer s... | Print the number of times the door will open. | [
"1 1 3 4\n7\n",
"4 3 4 2\n7 9 11\n"
] | [
"1\n",
"4\n"
] | In the first example the only employee will come at moment 3. At this moment the door will open and will stay open until the moment 7. At the same moment of time the client will come, so at first he will enter and only after it the door will close. Thus the door will open one time. | [
{
"input": "1 1 3 4\n7",
"output": "1"
},
{
"input": "4 3 4 2\n7 9 11",
"output": "4"
},
{
"input": "10 10 51 69\n154 170 170 183 251 337 412 426 445 452",
"output": "6"
},
{
"input": "70 10 26 17\n361 371 579 585 629 872 944 1017 1048 1541",
"output": "70"
},
{
"... | 61 | 5,529,600 | 0 | 5,054 | |
572 | Order Book | [
"data structures",
"greedy",
"implementation",
"sortings"
] | null | null | In this task you need to process a set of stock exchange orders and use them to create order book.
An order is an instruction of some participant to buy or sell stocks on stock exchange. The order number *i* has price *p**i*, direction *d**i* β buy or sell, and integer *q**i*. This means that the participant is ready ... | The input starts with two positive integers *n* and *s* (1<=β€<=*n*<=β€<=1000,<=1<=β€<=*s*<=β€<=50), the number of orders and the book depth.
Next *n* lines contains a letter *d**i* (either 'B' or 'S'), an integer *p**i* (0<=β€<=*p**i*<=β€<=105) and an integer *q**i* (1<=β€<=*q**i*<=β€<=104) β direction, price and volume resp... | Print no more than 2*s* lines with aggregated orders from order book of depth *s*. The output format for orders should be the same as in input. | [
"6 2\nB 10 3\nS 50 2\nS 40 1\nS 50 6\nB 20 4\nB 25 10\n"
] | [
"S 50 8\nS 40 1\nB 25 10\nB 20 4\n"
] | Denote (x, y) an order with price *x* and volume *y*. There are 3 aggregated buy orders (10, 3), (20, 4), (25, 10) and two sell orders (50, 8), (40, 1) in the sample.
You need to print no more than two best orders for each direction, so you shouldn't print the order (10 3) having the worst price among buy orders. | [
{
"input": "6 2\nB 10 3\nS 50 2\nS 40 1\nS 50 6\nB 20 4\nB 25 10",
"output": "S 50 8\nS 40 1\nB 25 10\nB 20 4"
},
{
"input": "2 1\nB 7523 5589\nS 69799 1711",
"output": "S 69799 1711\nB 7523 5589"
},
{
"input": "1 1\nB 48259 991",
"output": "B 48259 991"
},
{
"input": "1 50\n... | 61 | 307,200 | 0 | 5,058 | |
300 | Coach | [
"brute force",
"dfs and similar",
"graphs"
] | null | null | A programming coach has *n* students to teach. We know that *n* is divisible by 3. Let's assume that all students are numbered from 1 to *n*, inclusive.
Before the university programming championship the coach wants to split all students into groups of three. For some pairs of students we know that they want to be on ... | The first line of the input contains integers *n* and *m* (3<=β€<=*n*<=β€<=48, . Then follow *m* lines, each contains a pair of integers *a**i*,<=*b**i* (1<=β€<=*a**i*<=<<=*b**i*<=β€<=*n*) β the pair *a**i*,<=*b**i* means that students with numbers *a**i* and *b**i* want to be on the same team.
It is guaranteed that *n... | If the required division into teams doesn't exist, print number -1. Otherwise, print lines. In each line print three integers *x**i*, *y**i*, *z**i* (1<=β€<=*x**i*,<=*y**i*,<=*z**i*<=β€<=*n*) β the *i*-th team.
If there are multiple answers, you are allowed to print any of them. | [
"3 0\n",
"6 4\n1 2\n2 3\n3 4\n5 6\n",
"3 3\n1 2\n2 3\n1 3\n"
] | [
"3 2 1 \n",
"-1\n",
"3 2 1 \n"
] | none | [
{
"input": "3 0",
"output": "3 2 1 "
},
{
"input": "6 4\n1 2\n2 3\n3 4\n5 6",
"output": "-1"
},
{
"input": "3 3\n1 2\n2 3\n1 3",
"output": "3 2 1 "
},
{
"input": "6 3\n1 2\n3 4\n5 6",
"output": "-1"
},
{
"input": "15 9\n1 4\n1 6\n2 7\n2 11\n4 6\n5 12\n7 11\n9 14\n... | 218 | 7,065,600 | 0 | 5,068 | |
88 | Keyboard | [
"implementation"
] | B. Keyboard | 1 | 256 | Vasya learns to type. He has an unusual keyboard at his disposal: it is rectangular and it has *n* rows of keys containing *m* keys in each row. Besides, the keys are of two types. Some of the keys have lowercase Latin letters on them and some of the keys work like the "Shift" key on standard keyboards, that is, they m... | The first line contains three integers *n*, *m*, *x* (1<=β€<=*n*,<=*m*<=β€<=30,<=1<=β€<=*x*<=β€<=50).
Next *n* lines contain descriptions of all the keyboard keys. Each line contains the descriptions of exactly *m* keys, without spaces. The letter keys are marked with the corresponding lowercase letters. The "Shift" keys ... | If Vasya can type the text, then print the minimum number of times he will have to use his other hand. Otherwise, print "-1" (without the quotes). | [
"2 2 1\nab\ncd\n1\nA\n",
"2 2 1\nab\ncd\n1\ne\n",
"2 2 1\nab\ncS\n5\nabcBA\n",
"3 9 4\nqwertyuio\nasdfghjkl\nSzxcvbnmS\n35\nTheQuIcKbRoWnFOXjummsovertHeLazYDOG\n"
] | [
"-1\n",
"-1\n",
"1\n",
"2\n"
] | In the first sample the symbol "A" is impossible to print as there's no "Shift" key on the keyboard.
In the second sample the symbol "e" is impossible to print as there's no such key on the keyboard.
In the fourth sample the symbols "T", "G" are impossible to print with one hand. The other letters that are on the key... | [
{
"input": "2 2 1\nab\ncd\n1\nA",
"output": "-1"
},
{
"input": "2 2 1\nab\ncd\n1\ne",
"output": "-1"
},
{
"input": "2 2 1\nab\ncS\n5\nabcBA",
"output": "1"
},
{
"input": "3 9 4\nqwertyuio\nasdfghjkl\nSzxcvbnmS\n35\nTheQuIcKbRoWnFOXjummsovertHeLazYDOG",
"output": "2"
},
... | 46 | 0 | 0 | 5,093 |
328 | IQ Test | [
"implementation"
] | null | null | Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence *a*1, *a*1<=+<=*d*, *a*1<=+<=2*d*, ..., *a*1<=+<=(*n*<=-<=1)*d*, where *a*1 ... | The first line contains exactly four integer numbers between 1 and 1000, inclusively. | Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression. | [
"836 624 412 200\n",
"1 334 667 1000\n"
] | [
"-12\n",
"1333\n"
] | This problem contains very weak pretests! | [
{
"input": "836 624 412 200",
"output": "-12"
},
{
"input": "1 334 667 1000",
"output": "1333"
},
{
"input": "501 451 400 350",
"output": "42"
},
{
"input": "836 624 412 200",
"output": "-12"
},
{
"input": "1 334 667 1000",
"output": "1333"
},
{
"input... | 92 | 0 | 0 | 5,110 | |
793 | Igor and his way to work | [
"dfs and similar",
"graphs",
"implementation",
"shortest paths"
] | null | null | Woken up by the alarm clock Igor the financial analyst hurried up to the work. He ate his breakfast and sat in his car. Sadly, when he opened his GPS navigator, he found that some of the roads in Bankopolis, the city where he lives, are closed due to road works. Moreover, Igor has some problems with the steering wheel,... | The first line contains two integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=1000)Β β the number of rows and the number of columns in the grid.
Each of the next *n* lines contains *m* characters denoting the corresponding row of the grid. The following characters can occur:
- "." β an empty cell; - "*" β a cell with road ... | In the only line print "YES" if there is a path between Igor's home and Igor's office with no more than two turns, and "NO" otherwise. | [
"5 5\n..S..\n****.\nT....\n****.\n.....\n",
"5 5\nS....\n****.\n.....\n.****\n..T..\n"
] | [
"YES",
"NO"
] | The first sample is shown on the following picture:
In the second sample it is impossible to reach Igor's office using less that 4 turns, thus there exists no path using no more than 2 turns. The path using exactly 4 turns is shown on this picture: | [
{
"input": "5 5\nS....\n****.\n.....\n.****\n..T..",
"output": "NO"
},
{
"input": "1 2\nST",
"output": "YES"
},
{
"input": "3 1\nS\n*\nT",
"output": "NO"
},
{
"input": "3 3\n*..\n...\nTS.",
"output": "YES"
},
{
"input": "3 3\nT.*\n*.*\n*S*",
"output": "YES"
... | 46 | 5,529,600 | -1 | 5,118 | |
375 | Divisible by Seven | [
"math",
"number theory"
] | null | null | You have number *a*, whose decimal representation quite luckily contains digits 1, 6, 8, 9. Rearrange the digits in its decimal representation so that the resulting number will be divisible by 7.
Number *a* doesn't contain any leading zeroes and contains digits 1, 6, 8, 9 (it also can contain another digits). The resu... | The first line contains positive integer *a* in the decimal record. It is guaranteed that the record of number *a* contains digits: 1, 6, 8, 9. Number *a* doesn't contain any leading zeroes. The decimal representation of number *a* contains at least 4 and at most 106 characters. | Print a number in the decimal notation without leading zeroes β the result of the permutation.
If it is impossible to rearrange the digits of the number *a* in the required manner, print 0. | [
"1689\n",
"18906\n"
] | [
"1869\n",
"18690\n"
] | none | [
{
"input": "1689",
"output": "1869"
},
{
"input": "18906",
"output": "18690"
},
{
"input": "2419323689",
"output": "2432391689"
},
{
"input": "8589157262",
"output": "5857221986"
},
{
"input": "2717172350336955863014903670481525170997949309274087058935108848979319... | 1,000 | 12,902,400 | 0 | 5,119 | |
766 | Mahmoud and a Triangle | [
"constructive algorithms",
"geometry",
"greedy",
"math",
"number theory",
"sortings"
] | null | null | Mahmoud has *n* line segments, the *i*-th of them has length *a**i*. Ehab challenged him to use exactly 3 line segments to form a non-degenerate triangle. Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge. Given the lengths of the line segments... | The first line contains single integer *n* (3<=β€<=*n*<=β€<=105)Β β the number of line segments Mahmoud has.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=109)Β β the lengths of line segments Mahmoud has. | In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise. | [
"5\n1 5 3 2 4\n",
"3\n4 1 2\n"
] | [
"YES\n",
"NO\n"
] | For the first example, he can use line segments with lengths 2, 4 and 5 to form a non-degenerate triangle. | [
{
"input": "5\n1 5 3 2 4",
"output": "YES"
},
{
"input": "3\n4 1 2",
"output": "NO"
},
{
"input": "30\n197 75 517 39724 7906061 1153471 3 15166 168284 3019844 272293 316 16 24548 42 118 5792 5 9373 1866366 4886214 24 2206 712886 104005 1363 836 64273 440585 3576",
"output": "NO"
},... | 2,000 | 20,172,800 | 0 | 5,147 | |
958 | Maximum Control (easy) | [
"implementation"
] | null | null | The Resistance is trying to take control over all planets in a particular solar system. This solar system is shaped like a tree. More precisely, some planets are connected by bidirectional hyperspace tunnels in such a way that there is a path between every pair of the planets, but removing any tunnel would disconnect s... | The first line of the input contains an integer *N* (2<=β€<=*N*<=β€<=1000) β the number of planets in the galaxy.
The next *N*<=-<=1 lines describe the hyperspace tunnels between the planets. Each of the *N*<=-<=1 lines contains two space-separated integers *u* and *v* (1<=β€<=*u*,<=*v*<=β€<=*N*) indicating that there is ... | A single integer denoting the number of remote planets. | [
"5\n4 1\n4 2\n1 3\n1 5\n",
"4\n1 2\n4 3\n1 4\n"
] | [
"3\n",
"2\n"
] | In the first example, only planets 2, 3 and 5 are connected by a single tunnel.
In the second example, the remote planets are 2 and 3.
Note that this problem has only two versions β easy and medium. | [
{
"input": "5\n4 1\n4 2\n1 3\n1 5",
"output": "3"
},
{
"input": "4\n1 2\n4 3\n1 4",
"output": "2"
},
{
"input": "10\n4 3\n2 6\n10 1\n5 7\n5 8\n10 6\n5 9\n9 3\n2 9",
"output": "4"
}
] | 46 | 0 | 3 | 5,151 | |
587 | Duff and Weight Lifting | [
"greedy"
] | null | null | Recently, Duff has been practicing weight lifting. As a hard practice, Malek gave her a task. He gave her a sequence of weights. Weight of *i*-th of them is 2*w**i* pounds. In each step, Duff can lift some of the remaining weights and throw them away. She does this until there's no more weight left. Malek asked her to ... | The first line of input contains integer *n* (1<=β€<=*n*<=β€<=106), the number of weights.
The second line contains *n* integers *w*1,<=...,<=*w**n* separated by spaces (0<=β€<=*w**i*<=β€<=106 for each 1<=β€<=*i*<=β€<=*n*), the powers of two forming the weights values. | Print the minimum number of steps in a single line. | [
"5\n1 1 2 3 3\n",
"4\n0 1 2 3\n"
] | [
"2\n",
"4\n"
] | In the first sample case: One optimal way would be to throw away the first three in the first step and the rest in the second step. Also, it's not possible to do it in one step because their sum is not a power of two.
In the second sample case: The only optimal way is to throw away one weight in each step. It's not po... | [
{
"input": "5\n1 1 2 3 3",
"output": "2"
},
{
"input": "4\n0 1 2 3",
"output": "4"
},
{
"input": "1\n120287",
"output": "1"
},
{
"input": "2\n28288 0",
"output": "2"
},
{
"input": "2\n95745 95745",
"output": "1"
},
{
"input": "13\n92 194 580495 0 10855... | 1,000 | 69,427,200 | 0 | 5,172 | |
771 | Bear and Different Names | [
"constructive algorithms",
"greedy"
] | null | null | In the army, it isn't easy to form a group of soldiers that will be effective on the battlefield. The communication is crucial and thus no two soldiers should share a name (what would happen if they got an order that Bob is a scouter, if there are two Bobs?).
A group of soldiers is effective if and only if their names... | The first line of the input contains two integers *n* and *k* (2<=β€<=*k*<=β€<=*n*<=β€<=50)Β β the number of soldiers and the size of a group respectively.
The second line contains *n*<=-<=*k*<=+<=1 strings *s*1,<=*s*2,<=...,<=*s**n*<=-<=*k*<=+<=1. The string *s**i* is "YES" if the group of soldiers *i* through *i*<=+<=*k... | Find any solution satisfying all given conditions. In one line print *n* space-separated strings, denoting possible names of soldiers in the order. The first letter of each name should be uppercase, while the other letters should be lowercase. Each name should contain English letters only and has length from 1 to 10.
... | [
"8 3\nNO NO YES YES YES NO\n",
"9 8\nYES NO\n",
"3 2\nNO NO\n"
] | [
"Adam Bob Bob Cpqepqwer Limak Adam Bob Adam",
"R Q Ccccccccc Ccocc Ccc So Strong Samples Ccc",
"Na Na Na"
] | In the first sample, there are 8 soldiers. For every 3 consecutive ones we know whether they would be an effective group. Let's analyze the provided sample output:
- First three soldiers (i.e. Adam, Bob, Bob) wouldn't be an effective group because there are two Bobs. Indeed, the string *s*<sub class="lower-index">1</... | [
{
"input": "8 3\nNO NO YES YES YES NO",
"output": "Ab Ac Ab Ac Af Ag Ah Ag "
},
{
"input": "9 8\nYES NO",
"output": "Ab Ac Ad Ae Af Ag Ah Ai Ac "
},
{
"input": "3 2\nNO NO",
"output": "Ab Ab Ab "
},
{
"input": "2 2\nYES",
"output": "Ab Ac "
},
{
"input": "2 2\nNO"... | 202 | 2,662,400 | -1 | 5,189 | |
160 | Unlucky Ticket | [
"greedy",
"sortings"
] | null | null | Each of you probably has your personal experience of riding public transportation and buying tickets. After a person buys a ticket (which traditionally has an even number of digits), he usually checks whether the ticket is lucky. Let us remind you that a ticket is lucky if the sum of digits in its first half matches th... | The first line contains an integer *n* (1<=β€<=*n*<=β€<=100). The second line contains a string that consists of 2*n* digits and defines your ticket. | In the first line print "YES" if the ticket meets the unluckiness criterion. Otherwise, print "NO" (without the quotes). | [
"2\n2421\n",
"2\n0135\n",
"2\n3754\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | none | [
{
"input": "2\n2421",
"output": "YES"
},
{
"input": "2\n0135",
"output": "YES"
},
{
"input": "2\n3754",
"output": "NO"
},
{
"input": "1\n33",
"output": "NO"
},
{
"input": "2\n3444",
"output": "NO"
},
{
"input": "3\n221323",
"output": "YES"
},
{... | 62 | 0 | 0 | 5,192 | |
797 | Broken BST | [
"data structures",
"dfs and similar"
] | null | null | Let *T* be arbitrary binary tree β tree, every vertex of which has no more than two children. Given tree is rooted, so there exists only one vertex which doesn't have a parent β it's the root of a tree. Every vertex has an integer number written on it. Following algorithm is run on every value from the tree *T*:
1. S... | First line contains integer number *n* (1<=β€<=*n*<=β€<=105) β number of vertices in the tree.
Each of the next *n* lines contains 3 numbers *v*, *l*, *r* (0<=β€<=*v*<=β€<=109) β value on current vertex, index of the left child of the vertex and index of the right child of the vertex, respectively. If some child doesn't e... | Print number of times when search algorithm will fail. | [
"3\n15 -1 -1\n10 1 3\n5 -1 -1\n",
"8\n6 2 3\n3 4 5\n12 6 7\n1 -1 8\n4 -1 -1\n5 -1 -1\n14 -1 -1\n2 -1 -1\n"
] | [
"2\n",
"1\n"
] | In the example the root of the tree in vertex 2. Search of numbers 5 and 15 will return fail because on the first step algorithm will choose the subtree which doesn't contain numbers you are looking for. | [
{
"input": "3\n15 -1 -1\n10 1 3\n5 -1 -1",
"output": "2"
},
{
"input": "8\n6 2 3\n3 4 5\n12 6 7\n1 -1 8\n4 -1 -1\n5 -1 -1\n14 -1 -1\n2 -1 -1",
"output": "1"
},
{
"input": "1\n493041212 -1 -1",
"output": "0"
},
{
"input": "10\n921294733 5 9\n341281094 -1 -1\n35060484 10 -1\n36... | 982 | 96,153,600 | 3 | 5,196 | |
266 | Queue at the School | [
"constructive algorithms",
"graph matchings",
"implementation",
"shortest paths"
] | null | null | During the break the schoolchildren, boys and girls, formed a queue of *n* people in the canteen. Initially the children stood in the order they entered the canteen. However, after a while the boys started feeling awkward for standing in front of the girls in the queue and they started letting the girls move forward ea... | The first line contains two integers *n* and *t* (1<=β€<=*n*,<=*t*<=β€<=50), which represent the number of children in the queue and the time after which the queue will transform into the arrangement you need to find.
The next line contains string *s*, which represents the schoolchildren's initial arrangement. If the *... | Print string *a*, which describes the arrangement after *t* seconds. If the *i*-th position has a boy after the needed time, then the *i*-th character *a* must equal "B", otherwise it must equal "G". | [
"5 1\nBGGBG\n",
"5 2\nBGGBG\n",
"4 1\nGGGB\n"
] | [
"GBGGB\n",
"GGBGB\n",
"GGGB\n"
] | none | [
{
"input": "5 1\nBGGBG",
"output": "GBGGB"
},
{
"input": "5 2\nBGGBG",
"output": "GGBGB"
},
{
"input": "4 1\nGGGB",
"output": "GGGB"
},
{
"input": "2 1\nBB",
"output": "BB"
},
{
"input": "2 1\nBG",
"output": "GB"
},
{
"input": "6 2\nBBGBBG",
"outpu... | 62 | 0 | 0 | 5,201 | |
604 | More Cowbell | [
"binary search",
"greedy"
] | null | null | Kevin Sun wants to move his precious collection of *n* cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into *k* boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a sin... | The first line of the input contains two space-separated integers *n* and *k* (1<=β€<=*n*<=β€<=2Β·*k*<=β€<=100<=000), denoting the number of cowbells and the number of boxes, respectively.
The next line contains *n* space-separated integers *s*1,<=*s*2,<=...,<=*s**n* (1<=β€<=*s*1<=β€<=*s*2<=β€<=...<=β€<=*s**n*<=β€<=1<=000<=000... | Print a single integer, the smallest *s* for which it is possible for Kevin to put all of his cowbells into *k* boxes of size *s*. | [
"2 1\n2 5\n",
"4 3\n2 3 5 9\n",
"3 2\n3 5 7\n"
] | [
"7\n",
"9\n",
"8\n"
] | In the first sample, Kevin must pack his two cowbells into the same box.
In the second sample, Kevin can pack together the following sets of cowbells: {2,β3}, {5} and {9}.
In the third sample, the optimal solution is {3,β5} and {7}. | [
{
"input": "2 1\n2 5",
"output": "7"
},
{
"input": "4 3\n2 3 5 9",
"output": "9"
},
{
"input": "3 2\n3 5 7",
"output": "8"
},
{
"input": "20 11\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "2"
},
{
"input": "10 10\n3 15 31 61 63 63 68 94 98 100",
"outp... | 62 | 7,065,600 | 0 | 5,214 | |
0 | none | [
"none"
] | null | null | Arpa has found a list containing *n* numbers. He calls a list bad if and only if it is not empty and gcd (see notes section for more information) of numbers in the list is 1.
Arpa can perform two types of operations:
- Choose a number and delete it with cost *x*. - Choose a number and increase it by 1 with cost *y*... | First line contains three integers *n*, *x* and *y* (1<=β€<=*n*<=β€<=5Β·105, 1<=β€<=*x*,<=*y*<=β€<=109)Β β the number of elements in the list and the integers *x* and *y*.
Second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=106)Β β the elements of the list. | Print a single integer: the minimum possible cost to make the list good. | [
"4 23 17\n1 17 17 16\n",
"10 6 2\n100 49 71 73 66 96 8 60 41 63\n"
] | [
"40\n",
"10\n"
] | In example, number 1 must be deleted (with cost 23) and number 16 must increased by 1 (with cost 17).
A gcd (greatest common divisor) of a set of numbers is the maximum integer that divides all integers in the set. Read more about gcd [here](https://en.wikipedia.org/wiki/Greatest_common_divisor). | [] | 0 | 0 | -1 | 5,217 | |
125 | Measuring Lengths in Baden | [
"math"
] | null | null | Lengths are measures in Baden in inches and feet. To a length from centimeters it is enough to know that an inch equals three centimeters in Baden and one foot contains 12 inches.
You are given a length equal to *n* centimeters. Your task is to convert it to feet and inches so that the number of feet was maximum. The ... | The only line contains an integer *n* (1<=β€<=*n*<=β€<=10000). | Print two non-negative space-separated integers *a* and *b*, where *a* is the numbers of feet and *b* is the number of inches. | [
"42\n",
"5\n"
] | [
"1 2\n",
"0 2\n"
] | none | [
{
"input": "42",
"output": "1 2"
},
{
"input": "5",
"output": "0 2"
},
{
"input": "24",
"output": "0 8"
},
{
"input": "1",
"output": "0 0"
},
{
"input": "2",
"output": "0 1"
},
{
"input": "3",
"output": "0 1"
},
{
"input": "4",
"output"... | 218 | 0 | 0 | 5,224 | |
441 | Valera and Swaps | [
"constructive algorithms",
"dsu",
"graphs",
"implementation",
"math",
"string suffix structures"
] | null | null | A permutation *p* of length *n* is a sequence of distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=β€<=*p**i*<=β€<=*n*). A permutation is an identity permutation, if for any *i* the following equation holds *p**i*<==<=*i*.
A swap (*i*,<=*j*) is the operation that swaps elements *p**i* and *p**j* in the permutation. Let'... | The first line contains integer *n* (1<=β€<=*n*<=β€<=3000) β the length of permutation *p*. The second line contains *n* distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=β€<=*p**i*<=β€<=*n*) β Valera's initial permutation. The last line contains integer *m* (0<=β€<=*m*<=<<=*n*). | In the first line, print integer *k* β the minimum number of swaps.
In the second line, print 2*k* integers *x*1,<=*x*2,<=...,<=*x*2*k* β the description of the swap sequence. The printed numbers show that you need to consecutively make swaps (*x*1,<=*x*2), (*x*3,<=*x*4), ..., (*x*2*k*<=-<=1,<=*x*2*k*).
If there are... | [
"5\n1 2 3 4 5\n2\n",
"5\n2 1 4 5 3\n2\n"
] | [
"2\n1 2 1 3 ",
"1\n1 2 "
] | Sequence *x*<sub class="lower-index">1</sub>,β*x*<sub class="lower-index">2</sub>,β...,β*x*<sub class="lower-index">*s*</sub> is lexicographically smaller than sequence *y*<sub class="lower-index">1</sub>,β*y*<sub class="lower-index">2</sub>,β...,β*y*<sub class="lower-index">*s*</sub>, if there is such integer *r* (1ββ€... | [] | 0 | 0 | -1 | 5,233 | |
932 | Permutation Cycle | [
"brute force",
"constructive algorithms"
] | null | null | For a permutation *P*[1... *N*] of integers from 1 to *N*, function *f* is defined as follows:
Let *g*(*i*) be the minimum positive integer *j* such that *f*(*i*,<=*j*)<==<=*i*. We can show such *j* always exists.
For given *N*,<=*A*,<=*B*, find a permutation *P* of integers from 1 to *N* such that for 1<=β€<=*i*<=β€<=... | The only line contains three integers *N*,<=*A*,<=*B* (1<=β€<=*N*<=β€<=106,<=1<=β€<=*A*,<=*B*<=β€<=*N*). | If no such permutation exists, output -1. Otherwise, output a permutation of integers from 1 to *N*. | [
"9 2 5\n",
"3 2 1\n"
] | [
"6 5 8 3 4 1 9 2 7",
"1 2 3 "
] | In the first example, *g*(1)β=β*g*(6)β=β*g*(7)β=β*g*(9)β=β2 and *g*(2)β=β*g*(3)β=β*g*(4)β=β*g*(5)β=β*g*(8)β=β5
In the second example, *g*(1)β=β*g*(2)β=β*g*(3)β=β1 | [
{
"input": "9 2 5",
"output": "2 1 4 3 6 7 8 9 5 "
},
{
"input": "3 2 1",
"output": "1 2 3 "
},
{
"input": "7 4 4",
"output": "-1"
},
{
"input": "1000000 999998 3",
"output": "-1"
},
{
"input": "1 1 1",
"output": "1 "
},
{
"input": "993012 997 1001",
... | 1,559 | 30,105,600 | 3 | 5,237 | |
962 | Students in Railway Carriage | [
"constructive algorithms",
"greedy",
"implementation"
] | null | null | There are $n$ consecutive seat places in a railway carriage. Each place is either empty or occupied by a passenger.
The university team for the Olympiad consists of $a$ student-programmers and $b$ student-athletes. Determine the largest number of students from all $a+b$ students, which you can put in the railway carri... | The first line contain three integers $n$, $a$ and $b$ ($1 \le n \le 2\cdot10^{5}$, $0 \le a, b \le 2\cdot10^{5}$, $a + b > 0$) β total number of seat places in the railway carriage, the number of student-programmers and the number of student-athletes.
The second line contains a string with length $n$, consisting o... | Print the largest number of students, which you can put in the railway carriage so that no student-programmer is sitting next to a student-programmer and no student-athlete is sitting next to a student-athlete. | [
"5 1 1\n*...*\n",
"6 2 3\n*...*.\n",
"11 3 10\n.*....**.*.\n",
"3 2 3\n***\n"
] | [
"2\n",
"4\n",
"7\n",
"0\n"
] | In the first example you can put all student, for example, in the following way: *.AB*
In the second example you can put four students, for example, in the following way: *BAB*B
In the third example you can put seven students, for example, in the following way: B*ABAB**A*B
The letter A means a student-programmer, an... | [
{
"input": "5 1 1\n*...*",
"output": "2"
},
{
"input": "6 2 3\n*...*.",
"output": "4"
},
{
"input": "11 3 10\n.*....**.*.",
"output": "7"
},
{
"input": "3 2 3\n***",
"output": "0"
},
{
"input": "9 5 3\n*...*...*",
"output": "6"
},
{
"input": "9 2 4\n*.... | 109 | 0 | 0 | 5,242 | |
355 | Vasya and Public Transport | [
"greedy",
"implementation"
] | null | null | Vasya often uses public transport. The transport in the city is of two types: trolleys and buses. The city has *n* buses and *m* trolleys, the buses are numbered by integers from 1 to *n*, the trolleys are numbered by integers from 1 to *m*.
Public transport is not free. There are 4 types of tickets:
1. A ticket fo... | The first line contains four integers *c*1,<=*c*2,<=*c*3,<=*c*4 (1<=β€<=*c*1,<=*c*2,<=*c*3,<=*c*4<=β€<=1000) β the costs of the tickets.
The second line contains two integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=1000) β the number of buses and trolleys Vasya is going to use.
The third line contains *n* integers *a**i* (0<=... | Print a single number β the minimum sum of burles Vasya will have to spend on the tickets. | [
"1 3 7 19\n2 3\n2 5\n4 4 4\n",
"4 3 2 1\n1 3\n798\n1 2 3\n",
"100 100 8 100\n3 5\n7 94 12\n100 1 47 0 42\n"
] | [
"12\n",
"1\n",
"16\n"
] | In the first sample the profitable strategy is to buy two tickets of the first type (for the first bus), one ticket of the second type (for the second bus) and one ticket of the third type (for all trolleys). It totals to (2Β·1)β+β3β+β7β=β12 burles.
In the second sample the profitable strategy is to buy one ticket of t... | [
{
"input": "1 3 7 19\n2 3\n2 5\n4 4 4",
"output": "12"
},
{
"input": "4 3 2 1\n1 3\n798\n1 2 3",
"output": "1"
},
{
"input": "100 100 8 100\n3 5\n7 94 12\n100 1 47 0 42",
"output": "16"
},
{
"input": "3 103 945 1000\n7 9\n34 35 34 35 34 35 34\n0 0 0 0 0 0 0 0 0",
"output"... | 92 | 0 | 0 | 5,262 | |
993 | Two Squares | [
"geometry",
"implementation"
] | null | null | You are given two squares, one with sides parallel to the coordinate axes, and another one with sides at 45 degrees to the coordinate axes. Find whether the two squares intersect.
The interior of the square is considered to be part of the square, i.e. if one square is completely inside another, they intersect. If the ... | The input data consists of two lines, one for each square, both containing 4 pairs of integers. Each pair represents coordinates of one vertex of the square. Coordinates within each line are either in clockwise or counterclockwise order.
The first line contains the coordinates of the square with sides parallel to the ... | Print "Yes" if squares intersect, otherwise print "No".
You can print each letter in any case (upper or lower). | [
"0 0 6 0 6 6 0 6\n1 3 3 5 5 3 3 1\n",
"0 0 6 0 6 6 0 6\n7 3 9 5 11 3 9 1\n",
"6 0 6 6 0 6 0 0\n7 4 4 7 7 10 10 7\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | In the first example the second square lies entirely within the first square, so they do intersect.
In the second sample squares do not have any points in common.
Here are images corresponding to the samples: | [
{
"input": "0 0 6 0 6 6 0 6\n1 3 3 5 5 3 3 1",
"output": "YES"
},
{
"input": "0 0 6 0 6 6 0 6\n7 3 9 5 11 3 9 1",
"output": "NO"
},
{
"input": "6 0 6 6 0 6 0 0\n7 4 4 7 7 10 10 7",
"output": "YES"
},
{
"input": "0 0 6 0 6 6 0 6\n8 4 4 8 8 12 12 8",
"output": "YES"
},
... | 62 | 0 | 0 | 5,284 | |
702 | Road to Post Office | [
"math"
] | null | null | Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to *d* kilometers.
Vasiliy's car is not new β it breaks after driven every *k* kilometers and Vasiliy needs *t* seconds to repair it. After repairing his car Vasiliy can drive again (but after *k* kilometers ... | The first line contains 5 positive integers *d*,<=*k*,<=*a*,<=*b*,<=*t* (1<=β€<=*d*<=β€<=1012; 1<=β€<=*k*,<=*a*,<=*b*,<=*t*<=β€<=106; *a*<=<<=*b*), where:
- *d* β the distance from home to the post office; - *k* β the distance, which car is able to drive before breaking; - *a* β the time, which Vasiliy spends to dri... | Print the minimal time after which Vasiliy will be able to reach the post office. | [
"5 2 1 4 10\n",
"5 2 1 4 5\n"
] | [
"14\n",
"13\n"
] | In the first example Vasiliy needs to drive the first 2 kilometers on the car (in 2 seconds) and then to walk on foot 3 kilometers (in 12 seconds). So the answer equals to 14 seconds.
In the second example Vasiliy needs to drive the first 2 kilometers on the car (in 2 seconds), then repair his car (in 5 seconds) and d... | [
{
"input": "5 2 1 4 10",
"output": "14"
},
{
"input": "5 2 1 4 5",
"output": "13"
},
{
"input": "1 1 1 2 1",
"output": "1"
},
{
"input": "1000000000000 1000000 999999 1000000 1000000",
"output": "999999999999000000"
},
{
"input": "997167959139 199252 232602 952690... | 61 | 0 | 0 | 5,288 | |
472 | Design Tutorial: Inverse the Problem | [
"dfs and similar",
"dsu",
"shortest paths",
"trees"
] | null | null | There is an easy way to obtain a new task from an old one called "Inverse the problem": we give an output of the original task, and ask to generate an input, such that solution to the original problem will produce the output we provided. The hard task of Topcoder Open 2014 Round 2C, InverseRMQ, is a good example.
Now ... | The first line contains an integer *n* (1<=β€<=*n*<=β€<=2000) β the number of nodes in that graph.
Then next *n* lines each contains *n* integers *d**i*,<=*j* (0<=β€<=*d**i*,<=*j*<=β€<=109) β the distance between node *i* and node *j*. | If there exists such a tree, output "YES", otherwise output "NO". | [
"3\n0 2 7\n2 0 9\n7 9 0\n",
"3\n1 2 7\n2 0 9\n7 9 0\n",
"3\n0 2 2\n7 0 9\n7 9 0\n",
"3\n0 1 1\n1 0 1\n1 1 0\n",
"2\n0 0\n0 0\n"
] | [
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n"
] | In the first example, the required tree exists. It has one edge between nodes 1 and 2 with weight 2, another edge between nodes 1 and 3 with weight 7.
In the second example, it is impossible because *d*<sub class="lower-index">1,β1</sub> should be 0, but it is 1.
In the third example, it is impossible because *d*<sub... | [
{
"input": "3\n0 2 7\n2 0 9\n7 9 0",
"output": "YES"
},
{
"input": "3\n1 2 7\n2 0 9\n7 9 0",
"output": "NO"
},
{
"input": "3\n0 2 2\n7 0 9\n7 9 0",
"output": "NO"
},
{
"input": "3\n0 1 1\n1 0 1\n1 1 0",
"output": "NO"
},
{
"input": "2\n0 0\n0 0",
"output": "NO... | 30 | 0 | 0 | 5,293 | |
6 | Lizards and Basements 2 | [
"brute force",
"dp"
] | D. Lizards and Basements 2 | 2 | 64 | This is simplified version of the problem used on the original contest. The original problem seems to have too difiicult solution. The constraints for input data have been reduced.
Polycarp likes to play computer role-playing game Β«Lizards and BasementsΒ». At the moment he is playing it as a magician. At one of the las... | The first line of the input contains three integers *n*,<=*a*,<=*b* (3<=β€<=*n*<=β€<=10; 1<=β€<=*b*<=<<=*a*<=β€<=10). The second line contains a sequence of *n* integers β *h*1,<=*h*2,<=...,<=*h**n* (1<=β€<=*h**i*<=β€<=15), where *h**i* is the amount of health points the *i*-th archer has. | In the first line print *t* β the required minimum amount of fire balls.
In the second line print *t* numbers β indexes of the archers that Polycarp should hit to kill all the archers in *t* shots. All these numbers should be between 2 and *n*<=-<=1. Separate numbers with spaces. If there are several solutions, output... | [
"3 2 1\n2 2 2\n",
"4 3 1\n1 4 1 1\n"
] | [
"3\n2 2 2 ",
"4\n2 2 3 3 "
] | none | [
{
"input": "3 2 1\n2 2 2",
"output": "3\n2 2 2 "
},
{
"input": "4 3 1\n1 4 1 1",
"output": "4\n2 2 3 3 "
},
{
"input": "3 5 3\n1 2 1",
"output": "1\n2 "
},
{
"input": "3 5 3\n3 2 2",
"output": "2\n2 2 "
},
{
"input": "3 5 3\n3 2 2",
"output": "2\n2 2 "
},
... | 248 | 307,200 | 3.935711 | 5,309 |
47 | Crossword | [
"implementation"
] | C. Crossword | 2 | 256 | Vasya trains to compose crossword puzzles. He can only compose crosswords of a very simplΠ΅ type so far. All of them consist of exactly six words; the words can be read only from top to bottom vertically and from the left to the right horizontally. The words are arranged in the form of a rectangular "eight" or infinity ... | Six lines contain the given words. Every word consists of no more than 30 and no less than 3 uppercase Latin letters. | If it is impossible to solve the problem, print Impossible. Otherwise, print the sought crossword. All the empty squares should be marked as dots.
If there can be several solutions to that problem, print the lexicographically minimum one. I.e. the solution where the first line is less than the first line of other solu... | [
"NOD\nBAA\nYARD\nAIRWAY\nNEWTON\nBURN\n",
"AAA\nAAA\nAAAAA\nAAA\nAAA\nAAAAA\n",
"PTC\nJYNYFDSGI\nZGPPC\nIXEJNDOP\nJJFS\nSSXXQOFGJUZ\n"
] | [
"BAA...\nU.I...\nR.R...\nNEWTON\n..A..O\n..YARD\n",
"AAA..\nA.A..\nAAAAA\n..A.A\n..AAA\n",
"JJFS....\nY..S....\nN..X....\nY..X....\nF..Q....\nD..O....\nS..F....\nG..G....\nIXEJNDOP\n...U...T\n...ZGPPC\n"
] | none | [
{
"input": "NOD\nBAA\nYARD\nAIRWAY\nNEWTON\nBURN",
"output": "BAA...\nU.I...\nR.R...\nNEWTON\n..A..O\n..YARD"
},
{
"input": "AAA\nAAA\nAAAAA\nAAA\nAAA\nAAAAA",
"output": "AAA..\nA.A..\nAAAAA\n..A.A\n..AAA"
},
{
"input": "PTC\nJYNYFDSGI\nZGPPC\nIXEJNDOP\nJJFS\nSSXXQOFGJUZ",
"output": ... | 310 | 0 | 3.9225 | 5,319 |
157 | Game Outcome | [
"brute force"
] | null | null | Sherlock Holmes and Dr. Watson played some game on a checkered board *n*<=Γ<=*n* in size. During the game they put numbers on the board's squares by some tricky rules we don't know. However, the game is now over and each square of the board contains exactly one number. To understand who has won, they need to count the ... | The first line contains an integer *n* (1<=β€<=*n*<=β€<=30). Each of the following *n* lines contain *n* space-separated integers. The *j*-th number on the *i*-th line represents the number on the square that belongs to the *j*-th column and the *i*-th row on the board. All number on the board are integers from 1 to 100. | Print the single number β the number of the winning squares. | [
"1\n1\n",
"2\n1 2\n3 4\n",
"4\n5 7 8 4\n9 5 3 2\n1 6 6 4\n9 5 7 3\n"
] | [
"0\n",
"2\n",
"6\n"
] | In the first example two upper squares are winning.
In the third example three left squares in the both middle rows are winning: | [
{
"input": "1\n1",
"output": "0"
},
{
"input": "2\n1 2\n3 4",
"output": "2"
},
{
"input": "4\n5 7 8 4\n9 5 3 2\n1 6 6 4\n9 5 7 3",
"output": "6"
},
{
"input": "2\n1 1\n1 1",
"output": "0"
},
{
"input": "3\n1 2 3\n4 5 6\n7 8 9",
"output": "4"
},
{
"inpu... | 248 | 0 | 3 | 5,331 | |
359 | Permutation | [
"constructive algorithms",
"dp",
"math"
] | null | null | A permutation *p* is an ordered group of numbers *p*1,<=<=<=*p*2,<=<=<=...,<=<=<=*p**n*, consisting of *n* distinct positive integers, each is no more than *n*. We'll define number *n* as the length of permutation *p*1,<=<=<=*p*2,<=<=<=...,<=<=<=*p**n*.
Simon has a positive integer *n* and a non-negative integer *k*, ... | The first line contains two integers *n* and *k* (1<=β€<=*n*<=β€<=50000, 0<=β€<=2*k*<=β€<=*n*). | Print 2*n* integers *a*1,<=*a*2,<=...,<=*a*2*n* β the required permutation *a*. It is guaranteed that the solution exists. If there are multiple solutions, you can print any of them. | [
"1 0\n",
"2 1\n",
"4 0\n"
] | [
"1 2",
"3 2 1 4\n",
"2 7 4 6 1 3 5 8\n"
] | Record |*x*| represents the absolute value of number *x*.
In the first sample |1β-β2|β-β|1β-β2|β=β0.
In the second sample |3β-β2|β+β|1β-β4|β-β|3β-β2β+β1β-β4|β=β1β+β3β-β2β=β2.
In the third sample |2β-β7|β+β|4β-β6|β+β|1β-β3|β+β|5β-β8|β-β|2β-β7β+β4β-β6β+β1β-β3β+β5β-β8|β=β12β-β12β=β0. | [
{
"input": "1 0",
"output": "1 2"
},
{
"input": "2 1",
"output": "3 2 1 4"
},
{
"input": "4 0",
"output": "2 7 4 6 1 3 5 8"
},
{
"input": "50000 0",
"output": "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 4... | 233 | 3,891,200 | 3 | 5,333 | |
96 | Lucky Numbers (easy) | [
"binary search",
"bitmasks",
"brute force"
] | B. Lucky Numbers (easy) | 2 | 256 | Petya loves lucky numbers. Everybody knows that positive integers are lucky if their decimal representation doesn't contain digits other than 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Lucky number is super lucky if it's decimal representation contains equal amount of digits 4 and 7. Fo... | The only line contains a positive integer *n* (1<=β€<=*n*<=β€<=109). This number doesn't have leading zeroes. | Output the least super lucky number that is more than or equal to *n*.
Please, do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator. | [
"4500\n",
"47\n"
] | [
"4747\n",
"47\n"
] | none | [
{
"input": "4500",
"output": "4747"
},
{
"input": "47",
"output": "47"
},
{
"input": "1",
"output": "47"
},
{
"input": "12",
"output": "47"
},
{
"input": "4587",
"output": "4747"
},
{
"input": "100",
"output": "4477"
},
{
"input": "1007",
... | 62 | 0 | 0 | 5,336 |
362 | Two Semiknights Meet | [
"greedy",
"math"
] | null | null | A boy Petya loves chess very much. He even came up with a chess piece of his own, a semiknight. The semiknight can move in any of these four directions: 2 squares forward and 2 squares to the right, 2 squares forward and 2 squares to the left, 2 squares backward and 2 to the right and 2 squares backward and 2 to the le... | The first line contains number *t* (1<=β€<=*t*<=β€<=50) β the number of boards. Each board is described by a matrix of characters, consisting of 8 rows and 8 columns. The matrix consists of characters ".", "#", "K", representing an empty good square, a bad square and the semiknight's position, correspondingly. It is guar... | For each test, print on a single line the answer to the problem: "YES", if the semiknights can meet and "NO" otherwise. | [
"2\n........\n........\n......#.\nK..##..#\n.......#\n...##..#\n......#.\nK.......\n\n........\n........\n..#.....\n..#..#..\n..####..\n...##...\n........\n....K#K#\n"
] | [
"YES\nNO\n"
] | Consider the first board from the sample. We will assume the rows and columns of the matrix to be numbered 1 through 8 from top to bottom and from left to right, correspondingly. The knights can meet, for example, in square (2, 7). The semiknight from square (4, 1) goes to square (2, 3) and the semiknight goes from squ... | [
{
"input": "2\n........\n........\n......#.\nK..##..#\n.......#\n...##..#\n......#.\nK.......\n\n........\n........\n..#.....\n..#..#..\n..####..\n...##...\n........\n....K#K#",
"output": "YES\nNO"
},
{
"input": "3\n........\n........\n..#.....\n..#..#..\n..####..\n...##...\n........\n####K#K#\n\n..... | 62 | 307,200 | 3 | 5,340 | |
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<=β€<=*n*,<=*k*<=β€<=100,<=1<=β€<=*m*<=β€<=*k*) β 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<=β€<=*p**l*<=β€<=*k*) denoting the initial positions ... | Print the only integer *t* β 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)β=β3, so the new positions are: [1,β3,β4,β2,β5].
*pos*(5)β=β5, so the new positions are: [5,β1,β3,β4,β2].
Time taken for the first customer is 3β+β5β=β8.
Customer 2 wants the items 3 and 1.
*pos*(3)β=β3, so the new positions are: [3,β5,β1,β4,β2].
*pos*(1)β=β3, 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... | 77 | 0 | 0 | 5,353 | |
534 | Covered Path | [
"dp",
"greedy",
"math"
] | null | null | The on-board computer on Polycarp's car measured that the car speed at the beginning of some section of the path equals *v*1 meters per second, and in the end it is *v*2 meters per second. We know that this section of the route took exactly *t* seconds to pass.
Assuming that at each of the seconds the speed is constan... | The first line contains two integers *v*1 and *v*2 (1<=β€<=*v*1,<=*v*2<=β€<=100) β the speeds in meters per second at the beginning of the segment and at the end of the segment, respectively.
The second line contains two integers *t* (2<=β€<=*t*<=β€<=100) β the time when the car moves along the segment in seconds, *d* (0<... | Print the maximum possible length of the path segment in meters. | [
"5 6\n4 2\n",
"10 10\n10 0\n"
] | [
"26",
"100"
] | In the first sample the sequence of speeds of Polycarpus' car can look as follows: 5, 7, 8, 6. Thus, the total path is 5β+β7β+β8β+β6β=β26 meters.
In the second sample, as *d*β=β0, the car covers the whole segment at constant speed *v*β=β10. In *t*β=β10 seconds it covers the distance of 100 meters. | [
{
"input": "5 6\n4 2",
"output": "26"
},
{
"input": "10 10\n10 0",
"output": "100"
},
{
"input": "87 87\n2 10",
"output": "174"
},
{
"input": "1 11\n6 2",
"output": "36"
},
{
"input": "100 10\n10 10",
"output": "550"
},
{
"input": "1 1\n100 10",
"o... | 61 | 0 | 0 | 5,359 | |
627 | Factory Repairs | [
"data structures"
] | null | null | A factory produces thimbles in bulk. Typically, it can produce up to *a* thimbles a day. However, some of the machinery is defective, so it can currently only produce *b* thimbles each day. The factory intends to choose a *k*-day period to do maintenance and construction; it cannot produce any thimbles during this time... | The first line contains five integers *n*, *k*, *a*, *b*, and *q* (1<=β€<=*k*<=β€<=*n*<=β€<=200<=000, 1<=β€<=*b*<=<<=*a*<=β€<=10 000, 1<=β€<=*q*<=β€<=200<=000)Β β the number of days, the length of the repair time, the production rates of the factory, and the number of updates, respectively.
The next *q* lines contain the d... | For each query of the second type, print a line containing a single integer β the maximum number of orders that the factory can fill over all *n* days. | [
"5 2 2 1 8\n1 1 2\n1 5 3\n1 2 1\n2 2\n1 4 2\n1 3 2\n2 1\n2 3\n",
"5 4 10 1 6\n1 1 5\n1 5 5\n1 3 2\n1 5 2\n2 1\n2 2\n"
] | [
"3\n6\n4\n",
"7\n1\n"
] | Consider the first sample.
We produce up to 1 thimble a day currently and will produce up to 2 thimbles a day after repairs. Repairs take 2 days.
For the first question, we are able to fill 1 order on day 1, no orders on days 2 and 3 since we are repairing, no orders on day 4 since no thimbles have been ordered for t... | [
{
"input": "5 2 2 1 8\n1 1 2\n1 5 3\n1 2 1\n2 2\n1 4 2\n1 3 2\n2 1\n2 3",
"output": "3\n6\n4"
},
{
"input": "5 4 10 1 6\n1 1 5\n1 5 5\n1 3 2\n1 5 2\n2 1\n2 2",
"output": "7\n1"
},
{
"input": "1 1 2 1 1\n2 1",
"output": "0"
}
] | 2,995 | 8,806,400 | 0 | 5,373 | |
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"
},
... | 187 | 7,475,200 | 0 | 5,380 | |
653 | Bear and Forgotten Tree 2 | [
"dfs and similar",
"dsu",
"graphs",
"trees"
] | null | null | A tree is a connected undirected graph consisting of *n* vertices and *n*<=<=-<=<=1 edges. Vertices are numbered 1 through *n*.
Limak is a little polar bear. He once had a tree with *n* vertices but he lost it. He still remembers something about the lost tree though.
You are given *m* pairs of vertices (*a*1,<=*b*1),... | The first line of the input contains three integers *n*, *m* and *k* ()Β β the number of vertices in Limak's tree, the number of forbidden pairs of vertices, and the degree of vertex 1, respectively.
The *i*-th of next *m* lines contains two distinct integers *a**i* and *b**i* (1<=β€<=*a**i*,<=*b**i*<=β€<=*n*,<=*a**i*<=β ... | Print "possible" (without quotes) if there exists at least one tree satisfying the given conditions. Otherwise, print "impossible" (without quotes). | [
"5 4 2\n1 2\n2 3\n4 2\n4 1\n",
"6 5 3\n1 2\n1 3\n1 4\n1 5\n1 6\n"
] | [
"possible\n",
"impossible\n"
] | In the first sample, there are *n*β=β5 vertices. The degree of vertex 1 should be *k*β=β2. All conditions are satisfied for a tree with edges 1β-β5, 5β-β2, 1β-β3 and 3β-β4.
In the second sample, Limak remembers that none of the following edges existed: 1β-β2, 1β-β3, 1β-β4, 1β-β5 and 1β-β6. Hence, vertex 1 couldn't be ... | [
{
"input": "5 4 2\n1 2\n2 3\n4 2\n4 1",
"output": "possible"
},
{
"input": "6 5 3\n1 2\n1 3\n1 4\n1 5\n1 6",
"output": "impossible"
},
{
"input": "4 3 2\n2 3\n2 4\n3 4",
"output": "impossible"
},
{
"input": "4 2 2\n1 2\n1 3",
"output": "impossible"
},
{
"input": "... | 436 | 20,070,400 | 0 | 5,381 |
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