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Sereja and Mugs
[ "implementation" ]
null
null
Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and *n* water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume th...
The first line contains integers *n* and *s* (2<=≤<=*n*<=≤<=100; 1<=≤<=*s*<=≤<=1000) — the number of mugs and the volume of the cup. The next line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=10). Number *a**i* means the volume of the *i*-th mug.
In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise.
[ "3 4\n1 1 1\n", "3 4\n3 1 3\n", "3 4\n4 4 4\n" ]
[ "YES\n", "YES\n", "NO\n" ]
none
[ { "input": "3 4\n1 1 1", "output": "YES" }, { "input": "3 4\n3 1 3", "output": "YES" }, { "input": "3 4\n4 4 4", "output": "NO" }, { "input": "2 1\n1 10", "output": "YES" }, { "input": "3 12\n5 6 6", "output": "YES" }, { "input": "4 10\n6 3 8 7", "...
77
0
3
370
265
Colorful Stones (Simplified Edition)
[ "implementation" ]
null
null
There is a sequence of colorful stones. The color of each stone is one of red, green, or blue. You are given a string *s*. The *i*-th (1-based) character of *s* represents the color of the *i*-th stone. If the character is "R", "G", or "B", the color of the corresponding stone is red, green, or blue, respectively. Ini...
The input contains two lines. The first line contains the string *s* (1<=≤<=|*s*|<=≤<=50). The second line contains the string *t* (1<=≤<=|*t*|<=≤<=50). The characters of each string will be one of "R", "G", or "B". It is guaranteed that Liss don't move out of the sequence.
Print the final 1-based position of Liss in a single line.
[ "RGB\nRRR\n", "RRRBGBRBBB\nBBBRR\n", "BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB\n" ]
[ "2\n", "3\n", "15\n" ]
none
[ { "input": "RGB\nRRR", "output": "2" }, { "input": "RRRBGBRBBB\nBBBRR", "output": "3" }, { "input": "BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB", "output": "15" }, { "input": "G\nRRBBRBRRBR", "output": "1" }, ...
216
307,200
0
371
549
Face Detection
[ "implementation", "strings" ]
null
null
The developers of Looksery have to write an efficient algorithm that detects faces on a picture. Unfortunately, they are currently busy preparing a contest for you, so you will have to do it for them. In this problem an image is a rectangular table that consists of lowercase Latin letters. A face on the image is a 2<...
The first line contains two space-separated integers, *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=50) — the height and the width of the image, respectively. Next *n* lines define the image. Each line contains *m* lowercase Latin letters.
In the single line print the number of faces on the image.
[ "4 4\nxxxx\nxfax\nxcex\nxxxx\n", "4 2\nxx\ncf\nae\nxx\n", "2 3\nfac\ncef\n", "1 4\nface\n" ]
[ "1\n", "1\n", "2\n", "0\n" ]
In the first sample the image contains a single face, located in a square with the upper left corner at the second line and the second column: In the second sample the image also contains exactly one face, its upper left corner is at the second row and the first column. In the third sample two faces are shown: In ...
[ { "input": "4 4\nxxxx\nxfax\nxcex\nxxxx", "output": "1" }, { "input": "4 2\nxx\ncf\nae\nxx", "output": "1" }, { "input": "2 3\nfac\ncef", "output": "2" }, { "input": "1 4\nface", "output": "0" }, { "input": "5 5\nwmmwn\nlurcm\nkeetd\nfokon\ncxxgx", "output": "...
62
5,632,000
0
372
992
Nastya and an Array
[ "implementation", "sortings" ]
null
null
Nastya owns too many arrays now, so she wants to delete the least important of them. However, she discovered that this array is magic! Nastya now knows that the array has the following properties: - In one second we can add an arbitrary (possibly negative) integer to all elements of the array that are not equal to ze...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the size of the array. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=105<=≤<=*a**i*<=≤<=105) — the elements of the array.
Print a single integer — the minimum number of seconds needed to make all elements of the array equal to zero.
[ "5\n1 1 1 1 1\n", "3\n2 0 -1\n", "4\n5 -6 -5 1\n" ]
[ "1\n", "2\n", "4\n" ]
In the first example you can add  - 1 to all non-zero elements in one second and make them equal to zero. In the second example you can add  - 2 on the first second, then the array becomes equal to [0, 0,  - 3]. On the second second you can add 3 to the third (the only non-zero) element.
[ { "input": "5\n1 1 1 1 1", "output": "1" }, { "input": "3\n2 0 -1", "output": "2" }, { "input": "4\n5 -6 -5 1", "output": "4" }, { "input": "1\n0", "output": "0" }, { "input": "2\n21794 -79194", "output": "2" }, { "input": "3\n-63526 95085 -5239", ...
139
7,680,000
3
374
916
Jamie and Binary Sequence (changed after round)
[ "bitmasks", "greedy", "math" ]
null
null
Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem: Find *k* integers such that the sum of two to the power of each number equals to the number *n* and the largest integer in the answer is as small as possible. ...
The first line consists of two integers *n* and *k* (1<=≤<=*n*<=≤<=1018,<=1<=≤<=*k*<=≤<=105) — the required sum and the length of the sequence.
Output "No" (without quotes) in a single line if there does not exist such sequence. Otherwise, output "Yes" (without quotes) in the first line, and *k* numbers separated by space in the second line — the required sequence. It is guaranteed that the integers in the answer sequence fit the range [<=-<=1018,<=1018].
[ "23 5\n", "13 2\n", "1 2\n" ]
[ "Yes\n3 3 2 1 0 \n", "No\n", "Yes\n-1 -1 \n" ]
Sample 1: 2<sup class="upper-index">3</sup> + 2<sup class="upper-index">3</sup> + 2<sup class="upper-index">2</sup> + 2<sup class="upper-index">1</sup> + 2<sup class="upper-index">0</sup> = 8 + 8 + 4 + 2 + 1 = 23 Answers like (3, 3, 2, 0, 1) or (0, 1, 2, 3, 3) are not lexicographically largest. Answers like (4, 1, 1...
[ { "input": "23 5", "output": "Yes\n3 3 2 1 0 " }, { "input": "13 2", "output": "No" }, { "input": "1 2", "output": "Yes\n-1 -1 " }, { "input": "1 1", "output": "Yes\n0 " }, { "input": "1000000000000000000 100000", "output": "Yes\n44 44 44 44 44 44 44 44 44 44 ...
46
5,632,000
-1
377
154
Colliders
[ "math", "number theory" ]
null
null
By 2312 there were *n* Large Hadron Colliders in the inhabited part of the universe. Each of them corresponded to a single natural number from 1 to *n*. However, scientists did not know what activating several colliders simultaneously could cause, so the colliders were deactivated. In 2312 there was a startling discov...
The first line contains two space-separated integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of colliders and the number of requests, correspondingly. Next *m* lines contain numbers of requests, one per line, in the form of either "+ i" (without the quotes) — activate the *i*-th collider, or "- i" (without ...
Print *m* lines — the results of executing requests in the above given format. The requests should be processed in the order, in which they are given in the input. Don't forget that the responses to the requests should be printed without quotes.
[ "10 10\n+ 6\n+ 10\n+ 5\n- 10\n- 5\n- 6\n+ 10\n+ 3\n+ 6\n+ 3\n" ]
[ "Success\nConflict with 6\nSuccess\nAlready off\nSuccess\nSuccess\nSuccess\nSuccess\nConflict with 10\nAlready on\n" ]
Note that in the sample the colliders don't turn on after the second and ninth requests. The ninth request could also receive response "Conflict with 3".
[ { "input": "10 10\n+ 6\n+ 10\n+ 5\n- 10\n- 5\n- 6\n+ 10\n+ 3\n+ 6\n+ 3", "output": "Success\nConflict with 6\nSuccess\nAlready off\nSuccess\nSuccess\nSuccess\nSuccess\nConflict with 10\nAlready on" }, { "input": "7 5\n+ 7\n+ 6\n+ 4\n+ 3\n- 7", "output": "Success\nSuccess\nConflict with 6\nConfli...
154
2,867,200
-1
380
740
Alyona and copybooks
[ "brute force", "implementation" ]
null
null
Little girl Alyona is in a shop to buy some copybooks for school. She study four subjects so she wants to have equal number of copybooks for each of the subjects. There are three types of copybook's packs in the shop: it is possible to buy one copybook for *a* rubles, a pack of two copybooks for *b* rubles, and a pack ...
The only line contains 4 integers *n*, *a*, *b*, *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=109).
Print the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4.
[ "1 1 3 4\n", "6 2 1 1\n", "4 4 4 4\n", "999999999 1000000000 1000000000 1000000000\n" ]
[ "3\n", "1\n", "0\n", "1000000000\n" ]
In the first example Alyona can buy 3 packs of 1 copybook for 3*a* = 3 rubles in total. After that she will have 4 copybooks which she can split between the subjects equally. In the second example Alyuna can buy a pack of 2 copybooks for *b* = 1 ruble. She will have 8 copybooks in total. In the third example Alyona ...
[ { "input": "1 1 3 4", "output": "3" }, { "input": "6 2 1 1", "output": "1" }, { "input": "4 4 4 4", "output": "0" }, { "input": "999999999 1000000000 1000000000 1000000000", "output": "1000000000" }, { "input": "1016 3 2 1", "output": "0" }, { "input":...
77
0
3
383
495
Digital Counter
[ "implementation" ]
null
null
Malek lives in an apartment block with 100 floors numbered from 0 to 99. The apartment has an elevator with a digital counter showing the floor that the elevator is currently on. The elevator shows each digit of a number with 7 light sticks by turning them on or off. The picture below shows how the elevator shows each ...
The only line of input contains exactly two digits representing number *n* (0<=≤<=*n*<=≤<=99). Note that *n* may have a leading zero.
In the only line of the output print the number of good integers.
[ "89\n", "00\n", "73\n" ]
[ "2\n", "4\n", "15\n" ]
In the first sample the counter may be supposed to show 88 or 89. In the second sample the good integers are 00, 08, 80 and 88. In the third sample the good integers are 03, 08, 09, 33, 38, 39, 73, 78, 79, 83, 88, 89, 93, 98, 99.
[ { "input": "89", "output": "2" }, { "input": "00", "output": "4" }, { "input": "73", "output": "15" }, { "input": "08", "output": "2" }, { "input": "26", "output": "4" }, { "input": "49", "output": "6" }, { "input": "88", "output": "1" ...
62
0
0
384
227
Effective Approach
[ "implementation" ]
null
null
Once at a team training Vasya, Petya and Sasha got a problem on implementing linear search in an array. According to the boys, linear search works as follows. The array elements in a pre-selected order are in turn compared with the number that you need to find. Once you find the array element that is equal to the requ...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the array. The second line contains *n* distinct space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*) — the elements of array. The third line contains integer *m* (1<=≤<=*m*<=≤<=105) — the number of queries. The ...
Print two integers, showing how many comparisons Vasya's approach needs and how many comparisons Petya's approach needs. Separate the numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.
[ "2\n1 2\n1\n1\n", "2\n2 1\n1\n1\n", "3\n3 1 2\n3\n1 2 3\n" ]
[ "1 2\n", "2 1\n", "6 6\n" ]
In the first sample Vasya's approach will make one comparison (it starts with the 1-st element and immediately finds the required number), and Petya's approach makes two comparisons (first he compares with the 2-nd array element, doesn't find the search item and compares with the 1-st element). In the second sample, o...
[ { "input": "2\n1 2\n1\n1", "output": "1 2" }, { "input": "2\n2 1\n1\n1", "output": "2 1" }, { "input": "3\n3 1 2\n3\n1 2 3", "output": "6 6" }, { "input": "9\n2 9 3 1 6 4 7 8 5\n9\n5 1 5 2 8 4 4 4 5", "output": "58 32" }, { "input": "10\n3 10 9 2 7 6 5 8 4 1\n1\n4...
436
9,011,200
3
387
475
Strongly Connected City
[ "brute force", "dfs and similar", "graphs", "implementation" ]
null
null
Imagine a city with *n* horizontal streets crossing *m* vertical streets, forming an (*n*<=-<=1)<=×<=(*m*<=-<=1) grid. In order to increase the traffic flow, mayor of the city has decided to make each street one way. This means in each horizontal street, the traffic moves only from west to east or only from east to wes...
The first line of input contains two integers *n* and *m*, (2<=≤<=*n*,<=*m*<=≤<=20), denoting the number of horizontal streets and the number of vertical streets. The second line contains a string of length *n*, made of characters '&lt;' and '&gt;', denoting direction of each horizontal street. If the *i*-th character...
If the given pattern meets the mayor's criteria, print a single line containing "YES", otherwise print a single line containing "NO".
[ "3 3\n&gt;&lt;&gt;\nv^v\n", "4 6\n&lt;&gt;&lt;&gt;\nv^v^v^\n" ]
[ "NO\n", "YES\n" ]
The figure above shows street directions in the second sample test case.
[ { "input": "3 3\n><>\nv^v", "output": "NO" }, { "input": "4 6\n<><>\nv^v^v^", "output": "YES" }, { "input": "2 2\n<>\nv^", "output": "YES" }, { "input": "2 2\n>>\n^v", "output": "NO" }, { "input": "3 3\n>><\n^^v", "output": "YES" }, { "input": "3 4\n>>...
61
5,632,000
0
390
754
Lesha and array splitting
[ "constructive algorithms", "greedy", "implementation" ]
null
null
One spring day on his way to university Lesha found an array *A*. Lesha likes to split arrays into several parts. This time Lesha decided to split the array *A* into several, possibly one, new arrays so that the sum of elements in each of the new arrays is not zero. One more condition is that if we place the new arrays...
The first line contains single integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array *A*. The next line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=103<=≤<=*a**i*<=≤<=103) — the elements of the array *A*.
If it is not possible to split the array *A* and satisfy all the constraints, print single line containing "NO" (without quotes). Otherwise in the first line print "YES" (without quotes). In the next line print single integer *k* — the number of new arrays. In each of the next *k* lines print two integers *l**i* and *...
[ "3\n1 2 -3\n", "8\n9 -12 3 4 -4 -10 7 3\n", "1\n0\n", "4\n1 2 3 -5\n" ]
[ "YES\n2\n1 2\n3 3\n", "YES\n2\n1 2\n3 8\n", "NO\n", "YES\n4\n1 1\n2 2\n3 3\n4 4\n" ]
none
[ { "input": "3\n1 2 -3", "output": "YES\n3\n1 1\n2 2\n3 3" }, { "input": "8\n9 -12 3 4 -4 -10 7 3", "output": "YES\n8\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8" }, { "input": "1\n0", "output": "NO" }, { "input": "4\n1 2 3 -5", "output": "YES\n4\n1 1\n2 2\n3 3\n4 4" }, { ...
31
0
0
392
856
Set Theory
[ "brute force", "constructive algorithms" ]
null
null
Masha and Grisha like studying sets of positive integers. One day Grisha has written a set *A* containing *n* different integers *a**i* on a blackboard. Now he asks Masha to create a set *B* containing *n* different integers *b**j* such that all *n*2 integers that can be obtained by summing up *a**i* and *b**j* for al...
Input data contains multiple test cases. The first line contains an integer *t* — the number of test cases (1<=≤<=*t*<=≤<=100). Each test case is described in the following way: the first line of the description contains one integer *n* — the number of elements in *A* (1<=≤<=*n*<=≤<=100). The second line contains *n*...
For each test first print the answer: - NO, if Masha's task is impossible to solve, there is no way to create the required set *B*. - YES, if there is the way to create the required set. In this case the second line must contain *n* different positive integers *b**j* — elements of *B* (1<=≤<=*b**j*<=≤<=106). If the...
[ "3\n3\n1 10 100\n1\n1\n2\n2 4\n" ]
[ "YES\n1 2 3 \nYES\n1 \nYES\n1 2 \n" ]
none
[ { "input": "3\n3\n1 10 100\n1\n1\n2\n2 4", "output": "YES\n1 2 3 \nYES\n1 \nYES\n1 2 " }, { "input": "1\n100\n74 14 24 45 22 9 49 78 79 20 60 1 31 91 32 39 90 5 42 57 30 58 64 68 12 11 86 8 3 38 76 17 98 26 85 92 56 65 89 66 36 87 23 67 13 48 15 47 81 73 63 50 34 93 82 44 77 69 96 100 41 19 35 16 88...
124
2,355,200
0
393
469
I Wanna Be the Guy
[ "greedy", "implementation" ]
null
null
There is a game called "I Wanna Be the Guy", consisting of *n* levels. Little X and his friend Little Y are addicted to the game. Each of them wants to pass the whole game. Little X can pass only *p* levels of the game. And Little Y can pass only *q* levels of the game. You are given the indices of levels Little X can...
The first line contains a single integer *n* (1<=≤<=<=*n*<=≤<=100). The next line contains an integer *p* (0<=≤<=*p*<=≤<=*n*) at first, then follows *p* distinct integers *a*1,<=*a*2,<=...,<=*a**p* (1<=≤<=*a**i*<=≤<=*n*). These integers denote the indices of levels Little X can pass. The next line contains the levels...
If they can pass all the levels, print "I become the guy.". If it's impossible, print "Oh, my keyboard!" (without the quotes).
[ "4\n3 1 2 3\n2 2 4\n", "4\n3 1 2 3\n2 2 3\n" ]
[ "I become the guy.\n", "Oh, my keyboard!\n" ]
In the first sample, Little X can pass levels [1 2 3], and Little Y can pass level [2 4], so they can pass all the levels both. In the second sample, no one can pass level 4.
[ { "input": "4\n3 1 2 3\n2 2 4", "output": "I become the guy." }, { "input": "4\n3 1 2 3\n2 2 3", "output": "Oh, my keyboard!" }, { "input": "10\n5 8 6 1 5 4\n6 1 3 2 9 4 6", "output": "Oh, my keyboard!" }, { "input": "10\n8 8 10 7 3 1 4 2 6\n8 9 5 10 3 7 2 4 8", "output":...
46
0
0
394
614
Gena's Code
[ "implementation", "math" ]
null
null
It's the year 4527 and the tanks game that we all know and love still exists. There also exists Great Gena's code, written in 2016. The problem this code solves is: given the number of tanks that go into the battle from each country, find their product. If it is turns to be too large, then the servers might have not en...
The first line of the input contains the number of countries *n* (1<=≤<=*n*<=≤<=100<=000). The second line contains *n* non-negative integers *a**i* without leading zeroes — the number of tanks of the *i*-th country. It is guaranteed that the second line contains at least *n*<=-<=1 beautiful numbers and the total leng...
Print a single number without leading zeroes — the product of the number of tanks presented by each country.
[ "3\n5 10 1\n", "4\n1 1 10 11\n", "5\n0 3 1 100 1\n" ]
[ "50", "110", "0" ]
In sample 1 numbers 10 and 1 are beautiful, number 5 is not not. In sample 2 number 11 is not beautiful (contains two '1's), all others are beautiful. In sample 3 number 3 is not beautiful, all others are beautiful.
[ { "input": "3\n5 10 1", "output": "50" }, { "input": "4\n1 1 10 11", "output": "110" }, { "input": "5\n0 3 1 100 1", "output": "0" }, { "input": "40\n10 100 10 1 10 10 100 10 10 100 10 100 100 10 1824868942 100 100 1 10 100 100 10 100 100 10 100 10 1 10 100 100 100 10 1 10 1 ...
500
5,427,200
0
395
389
Fox and Number Game
[ "greedy", "math" ]
null
null
Fox Ciel is playing a game with numbers now. Ciel has *n* positive integers: *x*1, *x*2, ..., *x**n*. She can do the following operation as many times as needed: select two different indexes *i* and *j* such that *x**i* &gt; *x**j* hold, and then apply assignment *x**i* = *x**i* - *x**j*. The goal is to make the sum ...
The first line contains an integer *n* (2<=≤<=*n*<=≤<=100). Then the second line contains *n* integers: *x*1, *x*2, ..., *x**n* (1<=≤<=*x**i*<=≤<=100).
Output a single integer — the required minimal sum.
[ "2\n1 2\n", "3\n2 4 6\n", "2\n12 18\n", "5\n45 12 27 30 18\n" ]
[ "2\n", "6\n", "12\n", "15\n" ]
In the first example the optimal way is to do the assignment: *x*<sub class="lower-index">2</sub> = *x*<sub class="lower-index">2</sub> - *x*<sub class="lower-index">1</sub>. In the second example the optimal sequence of operations is: *x*<sub class="lower-index">3</sub> = *x*<sub class="lower-index">3</sub> - *x*<sub...
[ { "input": "2\n1 2", "output": "2" }, { "input": "3\n2 4 6", "output": "6" }, { "input": "2\n12 18", "output": "12" }, { "input": "5\n45 12 27 30 18", "output": "15" }, { "input": "2\n1 1", "output": "2" }, { "input": "2\n100 100", "output": "200" ...
108
0
0
396
486
Calculating Function
[ "implementation", "math" ]
null
null
For a positive integer *n* let's define a function *f*: *f*(*n*)<==<=<=-<=1<=+<=2<=-<=3<=+<=..<=+<=(<=-<=1)*n**n* Your task is to calculate *f*(*n*) for a given integer *n*.
The single line contains the positive integer *n* (1<=≤<=*n*<=≤<=1015).
Print *f*(*n*) in a single line.
[ "4\n", "5\n" ]
[ "2\n", "-3\n" ]
*f*(4) =  - 1 + 2 - 3 + 4 = 2 *f*(5) =  - 1 + 2 - 3 + 4 - 5 =  - 3
[ { "input": "4", "output": "2" }, { "input": "5", "output": "-3" }, { "input": "1000000000", "output": "500000000" }, { "input": "1000000001", "output": "-500000001" }, { "input": "1000000000000000", "output": "500000000000000" }, { "input": "100", ...
1,000
0
0
398
416
Guess a number!
[ "greedy", "implementation", "two pointers" ]
null
null
A TV show called "Guess a number!" is gathering popularity. The whole Berland, the old and the young, are watching the show. The rules are simple. The host thinks of an integer *y* and the participants guess it by asking questions to the host. There are four types of acceptable questions: - Is it true that *y* is st...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10000) — the number of questions (and answers). Next *n* lines each contain one question and one answer to it. The format of each line is like that: "sign x answer", where the sign is: - "&gt;" (for the first type queries), - "&lt;" (for the se...
Print any of such integers *y*, that the answers to all the queries are correct. The printed number *y* must meet the inequation <=-<=2·109<=≤<=*y*<=≤<=2·109. If there are many answers, print any of them. If such value doesn't exist, print word "Impossible" (without the quotes).
[ "4\n&gt;= 1 Y\n&lt; 3 N\n&lt;= -3 N\n&gt; 55 N\n", "2\n&gt; 100 Y\n&lt; -100 Y\n" ]
[ "17\n", "Impossible\n" ]
none
[ { "input": "4\n>= 1 Y\n< 3 N\n<= -3 N\n> 55 N", "output": "17" }, { "input": "2\n> 100 Y\n< -100 Y", "output": "Impossible" }, { "input": "4\n< 1 N\n> 1 N\n> 1 N\n> 1 N", "output": "1" }, { "input": "4\n<= 1 Y\n>= 1 Y\n>= 1 Y\n<= 1 Y", "output": "1" }, { "input": ...
264
0
3
401
670
Game of Robots
[ "implementation" ]
null
null
In late autumn evening *n* robots gathered in the cheerful company of friends. Each robot has a unique identifier — an integer from 1 to 109. At some moment, robots decided to play the game "Snowball". Below there are the rules of this game. First, all robots stand in a row. Then the first robot says his identifier. A...
The first line contains two positive integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*k*<=≤<=*min*(2·109,<=*n*·(*n*<=+<=1)<=/<=2). The second line contains the sequence *id*1,<=*id*2,<=...,<=*id**n* (1<=≤<=*id**i*<=≤<=109) — identifiers of roborts. It is guaranteed that all identifiers are different.
Print the *k*-th pronounced identifier (assume that the numeration starts from 1).
[ "2 2\n1 2\n", "4 5\n10 4 18 3\n" ]
[ "1\n", "4\n" ]
In the first sample identifiers of robots will be pronounced in the following order: 1, 1, 2. As *k* = 2, the answer equals to 1. In the second test case identifiers of robots will be pronounced in the following order: 10, 10, 4, 10, 4, 18, 10, 4, 18, 3. As *k* = 5, the answer equals to 4.
[ { "input": "2 2\n1 2", "output": "1" }, { "input": "4 5\n10 4 18 3", "output": "4" }, { "input": "1 1\n4", "output": "4" }, { "input": "2 1\n5 1", "output": "5" }, { "input": "2 2\n1 4", "output": "1" }, { "input": "2 3\n6 7", "output": "7" }, ...
77
7,884,800
3
404
275
Convex Shape
[ "constructive algorithms", "implementation" ]
null
null
Consider an *n*<=×<=*m* grid. Initially all the cells of the grid are colored white. Lenny has painted some of the cells (at least one) black. We call a painted grid convex if one can walk from any black cell to any another black cell using a path of side-adjacent black cells changing his direction at most once during ...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=50) — the size of the grid. Each of the next *n* lines contains *m* characters "B" or "W". Character "B" denotes a black cell of the grid and "W" denotes a white cell of the grid. It's guaranteed that the grid has at least one black cel...
On the only line of the output print "YES" if the grid is convex, otherwise print "NO". Do not print quotes.
[ "3 4\nWWBW\nBWWW\nWWWB\n", "3 1\nB\nB\nW\n" ]
[ "NO\n", "YES\n" ]
none
[ { "input": "3 4\nWWBW\nBWWW\nWWWB", "output": "NO" }, { "input": "3 1\nB\nB\nW", "output": "YES" }, { "input": "1 1\nB", "output": "YES" }, { "input": "1 2\nBB", "output": "YES" }, { "input": "2 1\nB\nB", "output": "YES" }, { "input": "1 2\nBW", "o...
154
28,979,200
0
405
119
Epic Game
[ "implementation" ]
null
null
Simon and Antisimon play a game. Initially each player receives one fixed positive integer that doesn't change throughout the game. Simon receives number *a* and Antisimon receives number *b*. They also have a heap of *n* stones. The players take turns to make a move and Simon starts. During a move a player should take...
The only string contains space-separated integers *a*, *b* and *n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=100) — the fixed numbers Simon and Antisimon have received correspondingly and the initial number of stones in the pile.
If Simon wins, print "0" (without the quotes), otherwise print "1" (without the quotes).
[ "3 5 9\n", "1 1 100\n" ]
[ "0", "1" ]
The greatest common divisor of two non-negative integers *a* and *b* is such maximum positive integer *k*, that *a* is divisible by *k* without remainder and similarly, *b* is divisible by *k* without remainder. Let *gcd*(*a*, *b*) represent the operation of calculating the greatest common divisor of numbers *a* and *b...
[ { "input": "3 5 9", "output": "0" }, { "input": "1 1 100", "output": "1" }, { "input": "23 12 16", "output": "1" }, { "input": "95 26 29", "output": "1" }, { "input": "73 32 99", "output": "1" }, { "input": "1 1 1", "output": "0" }, { "inpu...
186
0
0
406
234
Lefthanders and Righthanders
[ "implementation" ]
null
null
One fine October day a mathematics teacher Vasily Petrov went to a class and saw there *n* pupils who sat at the desks, two people at each desk. Vasily quickly realized that number *n* is even. Like all true mathematicians, Vasily has all students numbered from 1 to *n*. But Vasily Petrov did not like the way the chi...
The first input line contains a single even integer *n* (4<=≤<=*n*<=≤<=100) — the number of students in the class. The second line contains exactly *n* capital English letters "L" and "R". If the *i*-th letter at the second line equals "L", then the student number *i* is a lefthander, otherwise he is a righthander.
Print integer pairs, one pair per line. In the *i*-th line print the numbers of students that will sit at the *i*-th desk. The first number in the pair stands for the student who is sitting to the left, and the second number stands for the student who is sitting to the right. Separate the numbers in the pairs by space...
[ "6\nLLRLLL\n", "4\nRRLL\n" ]
[ "1 4\n2 5\n6 3\n", "3 1\n4 2\n" ]
none
[ { "input": "6\nLLRLLL", "output": "1 4\n2 5\n6 3" }, { "input": "4\nRRLL", "output": "3 1\n4 2" }, { "input": "4\nLLRR", "output": "1 3\n2 4" }, { "input": "6\nRLLRRL", "output": "1 4\n2 5\n3 6" }, { "input": "8\nLRLRLLLR", "output": "1 5\n6 2\n3 7\n4 8" }, ...
46
6,963,200
-1
408
302
Eugeny and Array
[ "implementation" ]
null
null
Eugeny has array *a*<==<=*a*1,<=*a*2,<=...,<=*a**n*, consisting of *n* integers. Each integer *a**i* equals to -1, or to 1. Also, he has *m* queries: - Query number *i* is given as a pair of integers *l**i*, *r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*). - The response to the query will be integer 1, if the elements of a...
The first line contains integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=2·105). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (*a**i*<==<=-1,<=1). Next *m* lines contain Eugene's queries. The *i*-th line contains integers *l**i*,<=*r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*).
Print *m* integers — the responses to Eugene's queries in the order they occur in the input.
[ "2 3\n1 -1\n1 1\n1 2\n2 2\n", "5 5\n-1 1 1 1 -1\n1 1\n2 3\n3 5\n2 5\n1 5\n" ]
[ "0\n1\n0\n", "0\n1\n0\n1\n0\n" ]
none
[ { "input": "2 3\n1 -1\n1 1\n1 2\n2 2", "output": "0\n1\n0" }, { "input": "5 5\n-1 1 1 1 -1\n1 1\n2 3\n3 5\n2 5\n1 5", "output": "0\n1\n0\n1\n0" }, { "input": "3 3\n1 1 1\n2 2\n1 1\n1 1", "output": "0\n0\n0" }, { "input": "4 4\n-1 -1 -1 -1\n1 3\n1 2\n1 2\n1 1", "output": "...
46
0
0
409
122
Lucky Division
[ "brute force", "number theory" ]
null
null
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find ...
The single line contains an integer *n* (1<=≤<=*n*<=≤<=1000) — the number that needs to be checked.
In the only line print "YES" (without the quotes), if number *n* is almost lucky. Otherwise, print "NO" (without the quotes).
[ "47\n", "16\n", "78\n" ]
[ "YES\n", "YES\n", "NO\n" ]
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself. In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4.
[ { "input": "47", "output": "YES" }, { "input": "16", "output": "YES" }, { "input": "78", "output": "NO" }, { "input": "48", "output": "YES" }, { "input": "100", "output": "YES" }, { "input": "107", "output": "NO" }, { "input": "77", "ou...
92
0
3
412
887
Cubes for Masha
[ "brute force", "implementation" ]
null
null
Absent-minded Masha got set of *n* cubes for her birthday. At each of 6 faces of each cube, there is exactly one digit from 0 to 9. Masha became interested what is the largest natural *x* such she can make using her new cubes all integers from 1 to *x*. To make a number Masha can rotate her cubes and put them in a ro...
In first line integer *n* is given (1<=≤<=*n*<=≤<=3) — the number of cubes, Masha got for her birthday. Each of next *n* lines contains 6 integers *a**i**j* (0<=≤<=*a**i**j*<=≤<=9) — number on *j*-th face of *i*-th cube.
Print single integer — maximum number *x* such Masha can make any integers from 1 to *x* using her cubes or 0 if Masha can't make even 1.
[ "3\n0 1 2 3 4 5\n6 7 8 9 0 1\n2 3 4 5 6 7\n", "3\n0 1 3 5 6 8\n1 2 4 5 7 8\n2 3 4 6 7 9\n" ]
[ "87", "98" ]
In the first test case, Masha can build all numbers from 1 to 87, but she can't make 88 because there are no two cubes with digit 8.
[ { "input": "3\n0 1 2 3 4 5\n6 7 8 9 0 1\n2 3 4 5 6 7", "output": "87" }, { "input": "3\n0 1 3 5 6 8\n1 2 4 5 7 8\n2 3 4 6 7 9", "output": "98" }, { "input": "3\n0 1 2 3 4 5\n0 1 2 3 4 5\n0 1 2 3 4 5", "output": "5" }, { "input": "3\n1 2 3 7 8 9\n9 8 7 1 2 3\n7 9 2 3 1 8", ...
46
0
0
416
152
Steps
[ "binary search", "implementation" ]
null
null
One day Vasya went out for a walk in the yard but there weren't any of his friends outside and he had no one to play touch and run. But the boy didn't lose the high spirits and decided to play touch and run with himself. You may ask: "How did he do that?" The answer is simple. Vasya noticed that the yard is a rectangu...
The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=109) — the yard's sizes. The second line contains integers *x**c* and *y**c* — the initial square's coordinates (1<=≤<=*x**c*<=≤<=*n*,<=1<=≤<=*y**c*<=≤<=*m*). The third line contains an integer *k* (1<=≤<=*k*<=≤<=104) — the number of vectors. ...
Print the single number — the number of steps Vasya had made. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
[ "4 5\n1 1\n3\n1 1\n1 1\n0 -2\n", "10 10\n1 2\n1\n-1 0\n" ]
[ "4\n", "0\n" ]
In the first sample Vasya is initially positioned at square (1, 1) and makes 3 steps by the first vector (1, 1). So, he consecutively visits the squares (2, 2), (3, 3), (4, 4). Then he makes 0 steps by the second vector (1, 1). He makes 1 more step by the third vector (0,  - 2) and he ends up in square (4, 2). Overall,...
[ { "input": "4 5\n1 1\n3\n1 1\n1 1\n0 -2", "output": "4" }, { "input": "10 10\n1 2\n1\n-1 0", "output": "0" }, { "input": "10 20\n10 3\n10\n-2 -6\n-1 0\n-8 0\n0 5\n-1 3\n16 -16\n-1 9\n0 -18\n9 -1\n-9 5", "output": "13" }, { "input": "20 10\n14 4\n10\n6 0\n-7 -7\n12 -2\n-4 9\n2...
0
0
-1
417
424
Magic Formulas
[ "math" ]
null
null
People in the Tomskaya region like magic formulas very much. You can see some of them below. Imagine you are given a sequence of positive integer numbers *p*1, *p*2, ..., *p**n*. Lets write down some magic formulas: Here, "mod" means the operation of taking the residue after dividing. The expression means applying ...
The first line of the input contains the only integer *n* (1<=≤<=*n*<=≤<=106). The next line contains *n* integers: *p*1,<=*p*2,<=...,<=*p**n* (0<=≤<=*p**i*<=≤<=2·109).
The only line of output should contain a single integer — the value of *Q*.
[ "3\n1 2 3\n" ]
[ "3\n" ]
none
[ { "input": "3\n1 2 3", "output": "3" }, { "input": "1\n0", "output": "0" }, { "input": "2\n65535 0", "output": "65534" }, { "input": "10\n1356106972 165139648 978829595 410669403 873711167 287346624 117863440 228957745 835903650 1575323015", "output": "948506286" }, {...
1,138
121,548,800
3
421
0
none
[ "none" ]
null
null
Dwarfs have planted a very interesting plant, which is a triangle directed "upwards". This plant has an amusing feature. After one year a triangle plant directed "upwards" divides into four triangle plants: three of them will point "upwards" and one will point "downwards". After another year, each triangle plant divide...
The first line contains a single integer *n* (0<=≤<=*n*<=≤<=1018) — the number of full years when the plant grew. Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.
Print a single integer — the remainder of dividing the number of plants that will point "upwards" in *n* years by 1000000007 (109<=+<=7).
[ "1\n", "2\n" ]
[ "3\n", "10\n" ]
The first test sample corresponds to the second triangle on the figure in the statement. The second test sample corresponds to the third one.
[ { "input": "1", "output": "3" }, { "input": "2", "output": "10" }, { "input": "385599124", "output": "493875375" }, { "input": "989464295", "output": "31966163" }, { "input": "376367012", "output": "523204186" }, { "input": "529357306", "output": "...
216
921,600
-1
422
407
Triangle
[ "brute force", "geometry", "implementation", "math" ]
null
null
There is a right triangle with legs of length *a* and *b*. Your task is to determine whether it is possible to locate the triangle on the plane in such a way that none of its sides is parallel to the coordinate axes. All the vertices must have integer coordinates. If there exists such a location, you have to output the...
The first line contains two integers *a*,<=*b* (1<=≤<=*a*,<=*b*<=≤<=1000), separated by a single space.
In the first line print either "YES" or "NO" (without the quotes) depending on whether the required location exists. If it does, print in the next three lines three pairs of integers — the coordinates of the triangle vertices, one pair per line. The coordinates must be integers, not exceeding 109 in their absolute valu...
[ "1 1\n", "5 5\n", "5 10\n" ]
[ "NO\n", "YES\n2 1\n5 5\n-2 4\n", "YES\n-10 4\n-2 -2\n1 2\n" ]
none
[ { "input": "1 1", "output": "NO" }, { "input": "5 5", "output": "YES\n2 1\n5 5\n-2 4" }, { "input": "5 10", "output": "YES\n-10 4\n-2 -2\n1 2" }, { "input": "2 2", "output": "NO" }, { "input": "5 6", "output": "NO" }, { "input": "5 11", "output": "...
77
7,065,600
0
423
442
Borya and Hanabi
[ "bitmasks", "brute force", "implementation" ]
null
null
Have you ever played Hanabi? If not, then you've got to try it out! This problem deals with a simplified version of the game. Overall, the game has 25 types of cards (5 distinct colors and 5 distinct values). Borya is holding *n* cards. The game is somewhat complicated by the fact that everybody sees Borya's cards exc...
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of Borya's cards. The next line contains the descriptions of *n* cards. The description of each card consists of exactly two characters. The first character shows the color (overall this position can contain five distinct letters — R, G, B, Y, W). The...
Print a single integer — the minimum number of hints that the other players should make.
[ "2\nG3 G3\n", "4\nG4 R4 R3 B3\n", "5\nB1 Y1 W1 G1 R1\n" ]
[ "0\n", "2\n", "4\n" ]
In the first sample Borya already knows for each card that it is a green three. In the second sample we can show all fours and all red cards. In the third sample you need to make hints about any four colors.
[ { "input": "2\nG3 G3", "output": "0" }, { "input": "4\nG4 R4 R3 B3", "output": "2" }, { "input": "5\nB1 Y1 W1 G1 R1", "output": "4" }, { "input": "10\nY4 B1 R3 G5 R5 W3 W5 W2 R1 Y1", "output": "6" }, { "input": "3\nG4 G3 B4", "output": "2" }, { "input"...
155
0
0
424
713
Animals and Puzzle
[ "binary search", "data structures" ]
null
null
Owl Sonya gave a huge lake puzzle of size *n*<=×<=*m* to hedgehog Filya as a birthday present. Friends immediately started to assemble the puzzle, but some parts of it turned out to be empty — there was no picture on them. Parts with picture on it are denoted by 1, while empty parts are denoted by 0. Rows of the puzzle...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — sizes of the puzzle. Each of the following *n* lines contains *m* integers *a**ij*. Each of them is equal to 1 if the corresponding cell contains a picture and 0 if it's empty. Next line contains an integer *t* (1<=≤<=*t*<=≤<=1...
Print *t* lines. The *i*-th of them should contain the maximum size of the square consisting of 1-s and lying fully inside the query rectangle.
[ "3 4\n1 1 0 1\n0 1 1 0\n0 1 1 0\n5\n1 1 2 3\n2 1 3 2\n3 2 3 4\n1 1 3 4\n1 2 3 4\n" ]
[ "1\n1\n1\n2\n2\n" ]
none
[]
31
0
0
425
0
none
[ "none" ]
null
null
Little Petya likes points a lot. Recently his mom has presented him *n* points lying on the line *OX*. Now Petya is wondering in how many ways he can choose three distinct points so that the distance between the two farthest of them doesn't exceed *d*. Note that the order of the points inside the group of three chosen...
The first line contains two integers: *n* and *d* (1<=≤<=*n*<=≤<=105; 1<=≤<=*d*<=≤<=109). The next line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n*, their absolute value doesn't exceed 109 — the *x*-coordinates of the points that Petya has got. It is guaranteed that the coordinates of the points in the input stri...
Print a single integer — the number of groups of three points, where the distance between two farthest points doesn't exceed *d*. Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "4 3\n1 2 3 4\n", "4 2\n-3 -2 -1 0\n", "5 19\n1 10 20 30 50\n" ]
[ "4\n", "2\n", "1\n" ]
In the first sample any group of three points meets our conditions. In the seconds sample only 2 groups of three points meet our conditions: {-3, -2, -1} and {-2, -1, 0}. In the third sample only one group does: {1, 10, 20}.
[ { "input": "4 3\n1 2 3 4", "output": "4" }, { "input": "4 2\n-3 -2 -1 0", "output": "2" }, { "input": "5 19\n1 10 20 30 50", "output": "1" }, { "input": "10 5\n31 36 43 47 48 50 56 69 71 86", "output": "2" }, { "input": "10 50\n1 4 20 27 65 79 82 83 99 100", "...
436
8,601,600
3
427
0
none
[ "none" ]
null
null
You are given an array of positive integers *a*1,<=*a*2,<=...,<=*a**n*<=×<=*T* of length *n*<=×<=*T*. We know that for any *i*<=&gt;<=*n* it is true that *a**i*<==<=*a**i*<=-<=*n*. Find the length of the longest non-decreasing sequence of the given array.
The first line contains two space-separated integers: *n*, *T* (1<=≤<=*n*<=≤<=100, 1<=≤<=*T*<=≤<=107). The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=300).
Print a single number — the length of a sought sequence.
[ "4 3\n3 1 4 2\n" ]
[ "5\n" ]
The array given in the sample looks like that: 3, 1, 4, 2, 3, 1, 4, 2, 3, 1, 4, 2. The elements in bold form the largest non-decreasing subsequence.
[ { "input": "4 3\n3 1 4 2", "output": "5" }, { "input": "1 1000\n42", "output": "1000" }, { "input": "31 3767\n16 192 152 78 224 202 186 52 118 19 13 38 199 196 35 295 100 64 205 37 166 124 169 214 66 243 134 192 253 270 92", "output": "7546" }, { "input": "15 12226\n18 125 21...
109
307,200
0
428
828
Black Square
[ "implementation" ]
null
null
Polycarp has a checkered sheet of paper of size *n*<=×<=*m*. Polycarp painted some of cells with black, the others remained white. Inspired by Malevich's "Black Square", Polycarp wants to paint minimum possible number of white cells with black so that all black cells form a square. You are to determine the minimum pos...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the sizes of the sheet. The next *n* lines contain *m* letters 'B' or 'W' each — the description of initial cells' colors. If a letter is 'B', then the corresponding cell is painted black, otherwise it is painted white.
Print the minimum number of cells needed to be painted black so that the black cells form a black square with sides parallel to the painting's sides. All the cells that do not belong to the square should be white. If it is impossible, print -1.
[ "5 4\nWWWW\nWWWB\nWWWB\nWWBB\nWWWW\n", "1 2\nBB\n", "3 3\nWWW\nWWW\nWWW\n" ]
[ "5\n", "-1\n", "1\n" ]
In the first example it is needed to paint 5 cells — (2, 2), (2, 3), (3, 2), (3, 3) and (4, 2). Then there will be a square with side equal to three, and the upper left corner in (2, 2). In the second example all the cells are painted black and form a rectangle, so it's impossible to get a square. In the third exampl...
[ { "input": "5 4\nWWWW\nWWWB\nWWWB\nWWBB\nWWWW", "output": "5" }, { "input": "1 2\nBB", "output": "-1" }, { "input": "3 3\nWWW\nWWW\nWWW", "output": "1" }, { "input": "100 1\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nB\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\nW\n...
62
5,632,000
3
429
610
Pasha and Stick
[ "combinatorics", "math" ]
null
null
Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*. Pasha likes rectangles but hates squares, so he wonders, how many ways are there to ...
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick.
The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square.
[ "6\n", "20\n" ]
[ "1\n", "4\n" ]
There is only one way to divide the stick in the first sample {1, 1, 2, 2}. Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work.
[ { "input": "6", "output": "1" }, { "input": "20", "output": "4" }, { "input": "1", "output": "0" }, { "input": "2", "output": "0" }, { "input": "3", "output": "0" }, { "input": "4", "output": "0" }, { "input": "2000000000", "output": "4...
202
2,150,400
-1
430
767
Snacktower
[ "data structures", "implementation" ]
null
null
According to an old legeng, a long time ago Ankh-Morpork residents did something wrong to miss Fortune, and she cursed them. She said that at some time *n* snacks of distinct sizes will fall on the city, and the residents should build a Snacktower of them by placing snacks one on another. Of course, big snacks should b...
The first line contains single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the total number of snacks. The second line contains *n* integers, the *i*-th of them equals the size of the snack which fell on the *i*-th day. Sizes are distinct integers from 1 to *n*.
Print *n* lines. On the *i*-th of them print the sizes of the snacks which the residents placed on the top of the Snacktower on the *i*-th day in the order they will do that. If no snack is placed on some day, leave the corresponding line empty.
[ "3\n3 1 2\n", "5\n4 5 1 2 3\n" ]
[ "3\n \n2 1", "5 4\n \n \n3 2 1\n" ]
In the example a snack of size 3 fell on the first day, and the residents immediately placed it. On the second day a snack of size 1 fell, and the residents weren't able to place it because they were missing the snack of size 2. On the third day a snack of size 2 fell, and the residents immediately placed it. Right aft...
[ { "input": "3\n3 1 2", "output": "3 \n\n2 1 " }, { "input": "5\n4 5 1 2 3", "output": "5 4 \n\n\n3 2 1 " }, { "input": "1\n1", "output": "1 " }, { "input": "2\n1 2", "output": "2 1 " }, { "input": "10\n5 1 6 2 8 3 4 10 9 7", "output": "10 \n9 8 \n7 6 5 4 3 2 1...
342
34,816,000
3
431
44
Indian Summer
[ "implementation" ]
A. Indian Summer
2
256
Indian summer is such a beautiful time of the year! A girl named Alyona is walking in the forest and picking a bouquet from fallen leaves. Alyona is very choosy — she doesn't take a leaf if it matches the color and the species of the tree of one of the leaves she already has. Find out how many leaves Alyona has picked.
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of leaves Alyona has found. The next *n* lines contain the leaves' descriptions. Each leaf is characterized by the species of the tree it has fallen from and by the color. The species of the trees and colors are given in names, consisting of no mor...
Output the single number — the number of Alyona's leaves.
[ "5\nbirch yellow\nmaple red\nbirch yellow\nmaple yellow\nmaple green\n", "3\noak yellow\noak yellow\noak yellow\n" ]
[ "4\n", "1\n" ]
none
[ { "input": "5\nbirch yellow\nmaple red\nbirch yellow\nmaple yellow\nmaple green", "output": "4" }, { "input": "3\noak yellow\noak yellow\noak yellow", "output": "1" }, { "input": "5\nxbnbkzn hp\nkaqkl vrgzbvqstu\nj aqidx\nhos gyul\nwefxmh tygpluae", "output": "5" }, { "input"...
30
4,300,800
0
434
339
Xenia and Ringroad
[ "implementation" ]
null
null
Xenia lives in a city that has *n* houses built along the main ringroad. The ringroad houses are numbered 1 through *n* in the clockwise order. The ringroad traffic is one way and also is clockwise. Xenia has recently moved into the ringroad house number 1. As a result, she's got *m* things to do. In order to complete...
The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=105,<=1<=≤<=*m*<=≤<=105). The second line contains *m* integers *a*1,<=*a*2,<=...,<=*a**m* (1<=≤<=*a**i*<=≤<=*n*). Note that Xenia can have multiple consecutive tasks in one house.
Print a single integer — the time Xenia needs to complete all tasks. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "4 3\n3 2 3\n", "4 3\n2 3 3\n" ]
[ "6\n", "2\n" ]
In the first test example the sequence of Xenia's moves along the ringroad looks as follows: 1 → 2 → 3 → 4 → 1 → 2 → 3. This is optimal sequence. So, she needs 6 time units.
[ { "input": "4 3\n3 2 3", "output": "6" }, { "input": "4 3\n2 3 3", "output": "2" }, { "input": "2 2\n1 1", "output": "0" }, { "input": "2 2\n1 2", "output": "1" }, { "input": "2 2\n1 2", "output": "1" }, { "input": "100 100\n56 46 1 47 5 86 45 35 81 1 ...
60
0
0
435
59
Fortune Telling
[ "implementation", "number theory" ]
B. Fortune Telling
2
256
Marina loves Sasha. But she keeps wondering whether Sasha loves her. Of course, the best way to know it is fortune telling. There are many ways of telling fortune, but Marina has picked the easiest one. She takes in her hand one or several camomiles and tears off the petals one by one. After each petal she pronounces a...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100), which is the number of flowers growing in the field. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100) which represent the number of petals on a given *i*-th camomile.
Print a single number which is the maximal number of petals in the bouquet, the fortune telling on which would result in "Loves". If there are no such bouquet, print 0 instead. The bouquet may consist of a single flower.
[ "1\n1\n", "1\n2\n", "3\n5 6 7\n" ]
[ "1\n", "0\n", "13\n" ]
none
[ { "input": "1\n1", "output": "1" }, { "input": "1\n2", "output": "0" }, { "input": "3\n5 6 7", "output": "13" }, { "input": "2\n5 7", "output": "7" }, { "input": "3\n1 2 3", "output": "5" }, { "input": "4\n4 3 1 2", "output": "9" }, { "inpu...
186
307,200
0
438
433
Kuriyama Mirai's Stones
[ "dp", "implementation", "sortings" ]
null
null
Kuriyama Mirai has killed many monsters and got many (namely *n*) stones. She numbers the stones from 1 to *n*. The cost of the *i*-th stone is *v**i*. Kuriyama Mirai wants to know something about these stones so she will ask you two kinds of questions: 1. She will tell you two numbers, *l* and *r* (1<=≤<=*l*<=≤<=*r*...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105). The second line contains *n* integers: *v*1,<=*v*2,<=...,<=*v**n* (1<=≤<=*v**i*<=≤<=109) — costs of the stones. The third line contains an integer *m* (1<=≤<=*m*<=≤<=105) — the number of Kuriyama Mirai's questions. Then follow *m* lines, each line contains t...
Print *m* lines. Each line must contain an integer — the answer to Kuriyama Mirai's question. Print the answers to the questions in the order of input.
[ "6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6\n", "4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2\n" ]
[ "24\n9\n28\n", "10\n15\n5\n15\n5\n5\n2\n12\n3\n5\n" ]
Please note that the answers to the questions may overflow 32-bit integer type.
[ { "input": "6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6", "output": "24\n9\n28" }, { "input": "4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2", "output": "10\n15\n5\n15\n5\n5\n2\n12\n3\n5" }, { "input": "4\n2 2 3 6\n9\n2 2 3\n1 1 3\n2 2 3\n2 2 3\n2 2 2\n1...
1,107
10,035,200
3
439
932
Recursive Queries
[ "binary search", "data structures", "dfs and similar" ]
null
null
Let us define two functions *f* and *g* on positive integer numbers. You need to process *Q* queries. In each query, you will be given three integers *l*, *r* and *k*. You need to print the number of integers *x* between *l* and *r* inclusive, such that *g*(*x*)<==<=*k*.
The first line of the input contains an integer *Q* (1<=≤<=*Q*<=≤<=2<=×<=105) representing the number of queries. *Q* lines follow, each of which contains 3 integers *l*, *r* and *k* (1<=≤<=*l*<=≤<=*r*<=≤<=106,<=1<=≤<=*k*<=≤<=9).
For each query, print a single line containing the answer for that query.
[ "4\n22 73 9\n45 64 6\n47 55 7\n2 62 4\n", "4\n82 94 6\n56 67 4\n28 59 9\n39 74 4\n" ]
[ "1\n4\n0\n8\n", "3\n1\n1\n5\n" ]
In the first example: - *g*(33) = 9 as *g*(33) = *g*(3 × 3) = *g*(9) = 9 - *g*(47) = *g*(48) = *g*(60) = *g*(61) = 6 - There are no such integers between 47 and 55. - *g*(4) = *g*(14) = *g*(22) = *g*(27) = *g*(39) = *g*(40) = *g*(41) = *g*(58) = 4
[ { "input": "4\n22 73 9\n45 64 6\n47 55 7\n2 62 4", "output": "1\n4\n0\n8" }, { "input": "4\n82 94 6\n56 67 4\n28 59 9\n39 74 4", "output": "3\n1\n1\n5" } ]
2,000
5,836,800
0
440
518
Vitaly and Strings
[ "constructive algorithms", "strings" ]
null
null
Vitaly is a diligent student who never missed a lesson in his five years of studying in the university. He always does his homework on time and passes his exams in time. During the last lesson the teacher has provided two strings *s* and *t* to Vitaly. The strings have the same length, they consist of lowercase Engli...
The first line contains string *s* (1<=≤<=|*s*|<=≤<=100), consisting of lowercase English letters. Here, |*s*| denotes the length of the string. The second line contains string *t* (|*t*|<==<=|*s*|), consisting of lowercase English letters. It is guaranteed that the lengths of strings *s* and *t* are the same and str...
If the string that meets the given requirements doesn't exist, print a single string "No such string" (without the quotes). If such string exists, print it. If there are multiple valid strings, you may print any of them.
[ "a\nc\n", "aaa\nzzz\n", "abcdefg\nabcdefh\n" ]
[ "b\n", "kkk\n", "No such string\n" ]
String *s* = *s*<sub class="lower-index">1</sub>*s*<sub class="lower-index">2</sub>... *s*<sub class="lower-index">*n*</sub> is said to be lexicographically smaller than *t* = *t*<sub class="lower-index">1</sub>*t*<sub class="lower-index">2</sub>... *t*<sub class="lower-index">*n*</sub>, if there exists such *i*, that ...
[ { "input": "a\nc", "output": "b" }, { "input": "aaa\nzzz", "output": "kkk" }, { "input": "abcdefg\nabcdefh", "output": "No such string" }, { "input": "abcdefg\nabcfefg", "output": "abcdefh" }, { "input": "frt\nfru", "output": "No such string" }, { "inp...
46
0
3
441
424
Megacity
[ "binary search", "greedy", "implementation", "sortings" ]
null
null
The administration of the Tomsk Region firmly believes that it's time to become a megacity (that is, get population of one million). Instead of improving the demographic situation, they decided to achieve its goal by expanding the boundaries of the city. The city of Tomsk can be represented as point on the plane with ...
The first line of the input contains two integers *n* and *s* (1<=≤<=*n*<=≤<=103; 1<=≤<=*s*<=&lt;<=106) — the number of locatons around Tomsk city and the population of the city. Then *n* lines follow. The *i*-th line contains three integers — the *x**i* and *y**i* coordinate values of the *i*-th location and the numbe...
In the output, print "-1" (without the quotes), if Tomsk won't be able to become a megacity. Otherwise, in the first line print a single real number — the minimum radius of the circle that the city needs to expand to in order to become a megacity. The answer is considered correct if the absolute or relative error don'...
[ "4 999998\n1 1 1\n2 2 1\n3 3 1\n2 -2 1\n", "4 999998\n1 1 2\n2 2 1\n3 3 1\n2 -2 1\n", "2 1\n1 1 999997\n2 2 1\n" ]
[ "2.8284271\n", "1.4142136\n", "-1" ]
none
[ { "input": "4 999998\n1 1 1\n2 2 1\n3 3 1\n2 -2 1", "output": "2.8284271" }, { "input": "4 999998\n1 1 2\n2 2 1\n3 3 1\n2 -2 1", "output": "1.4142136" }, { "input": "2 1\n1 1 999997\n2 2 1", "output": "-1" }, { "input": "4 999998\n3 3 10\n-3 3 10\n3 -3 10\n-3 -3 10", "out...
109
307,200
0
442
629
Far Relative’s Problem
[ "brute force" ]
null
null
Famil Door wants to celebrate his birthday with his friends from Far Far Away. He has *n* friends and each of them can come to the party in a specific range of days of the year from *a**i* to *b**i*. Of course, Famil Door wants to have as many friends celebrating together with him as possible. Far cars are as weird as...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=5000) — then number of Famil Door's friends. Then follow *n* lines, that describe the friends. Each line starts with a capital letter 'F' for female friends and with a capital letter 'M' for male friends. Then follow two integers *a**i* and *b**i...
Print the maximum number of people that may come to Famil Door's party.
[ "4\nM 151 307\nF 343 352\nF 117 145\nM 24 128\n", "6\nM 128 130\nF 128 131\nF 131 140\nF 131 141\nM 131 200\nM 140 200\n" ]
[ "2\n", "4\n" ]
In the first sample, friends 3 and 4 can come on any day in range [117, 128]. In the second sample, friends with indices 3, 4, 5 and 6 can come on day 140.
[ { "input": "4\nM 151 307\nF 343 352\nF 117 145\nM 24 128", "output": "2" }, { "input": "6\nM 128 130\nF 128 131\nF 131 140\nF 131 141\nM 131 200\nM 140 200", "output": "4" }, { "input": "1\nF 68 307", "output": "0" }, { "input": "40\nM 55 363\nF 117 252\nM 157 282\nF 322 345\...
77
2,355,200
-1
443
234
Reading
[ "sortings" ]
null
null
Vasya is going to the Olympics in the city Ntown by train. The boy wants to read the textbook to prepare for the Olympics. He counted that he needed *k* hours for this. He also found that the light in the train changes every hour. The light is measured on a scale from 0 to 100, where 0 is very dark, and 100 is very lig...
The first input line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=1000,<=1<=≤<=*k*<=≤<=*n*) — the number of hours on the train and the number of hours to read, correspondingly. The second line contains *n* space-separated integers *a**i* (0<=≤<=*a**i*<=≤<=100), *a**i* is the light level at the *i*-th hour.
In the first output line print the minimum light level Vasya will read at. In the second line print *k* distinct space-separated integers *b*1,<=*b*2,<=...,<=*b**k*, — the indexes of hours Vasya will read at (1<=≤<=*b**i*<=≤<=*n*). The hours are indexed starting from 1. If there are multiple optimal solutions, print an...
[ "5 3\n20 10 30 40 10\n", "6 5\n90 20 35 40 60 100\n" ]
[ "20\n1 3 4 \n", "35\n1 3 4 5 6 \n" ]
In the first sample Vasya should read at the first hour (light 20), third hour (light 30) and at the fourth hour (light 40). The minimum light Vasya will have to read at is 20.
[ { "input": "5 3\n20 10 30 40 10", "output": "20\n1 3 4 " }, { "input": "6 5\n90 20 35 40 60 100", "output": "35\n1 3 4 5 6 " }, { "input": "100 7\n85 66 9 91 50 46 61 12 55 65 95 1 25 97 95 4 59 59 52 34 94 30 60 11 68 36 17 84 87 68 72 87 46 99 24 66 75 77 75 2 19 3 33 19 7 20 22 3 71 2...
92
204,800
3
449
257
Playing Cubes
[ "games", "greedy", "implementation" ]
null
null
Petya and Vasya decided to play a little. They found *n* red cubes and *m* blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have *n*<=+<=*m* cubes). Petya moves first. Petya's task is to get as many pa...
The only line contains two space-separated integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of red and blue cubes, correspondingly.
On a single line print two space-separated integers — the number of Petya's and Vasya's points correspondingly provided that both players play optimally well.
[ "3 1\n", "2 4\n" ]
[ "2 1\n", "3 2\n" ]
In the first test sample the optimal strategy for Petya is to put the blue cube in the line. After that there will be only red cubes left, so by the end of the game the line of cubes from left to right will look as [blue, red, red, red]. So, Petya gets 2 points and Vasya gets 1 point. If Petya would choose the red cu...
[ { "input": "3 1", "output": "2 1" }, { "input": "2 4", "output": "3 2" }, { "input": "1 1", "output": "0 1" }, { "input": "2 1", "output": "1 1" }, { "input": "4 4", "output": "3 4" }, { "input": "10 7", "output": "9 7" }, { "input": "5 13"...
124
4,812,800
0
451
387
George and Round
[ "brute force", "greedy", "two pointers" ]
null
null
George decided to prepare a Codesecrof round, so he has prepared *m* problems for the round. Let's number the problems with integers 1 through *m*. George estimates the *i*-th problem's complexity by integer *b**i*. To make the round good, he needs to put at least *n* problems there. Besides, he needs to have at least...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=3000) — the minimal number of problems in a good round and the number of problems George's prepared. The second line contains space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a*1<=&lt;<=*a*2<=&lt;<=...<=&lt;<=*a**n*<=≤<=106) — the requirem...
Print a single integer — the answer to the problem.
[ "3 5\n1 2 3\n1 2 2 3 3\n", "3 5\n1 2 3\n1 1 1 1 1\n", "3 1\n2 3 4\n1\n" ]
[ "0\n", "2\n", "3\n" ]
In the first sample the set of the prepared problems meets the requirements for a good round. In the second sample, it is enough to come up with and prepare two problems with complexities 2 and 3 to get a good round. In the third sample it is very easy to get a good round if come up with and prepare extra problems wi...
[ { "input": "3 5\n1 2 3\n1 2 2 3 3", "output": "0" }, { "input": "3 5\n1 2 3\n1 1 1 1 1", "output": "2" }, { "input": "3 1\n2 3 4\n1", "output": "3" }, { "input": "29 100\n20 32 41 67 72 155 331 382 399 412 465 470 484 511 515 529 616 637 679 715 733 763 826 843 862 903 925 97...
93
7,372,800
3
454
799
Carrot Cakes
[ "brute force", "implementation" ]
null
null
In some game by Playrix it takes *t* minutes for an oven to bake *k* carrot cakes, all cakes are ready at the same moment *t* minutes after they started baking. Arkady needs at least *n* cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady...
The only line contains four integers *n*, *t*, *k*, *d* (1<=≤<=*n*,<=*t*,<=*k*,<=*d*<=≤<=1<=000) — the number of cakes needed, the time needed for one oven to bake *k* cakes, the number of cakes baked at the same time, the time needed to build the second oven.
If it is reasonable to build the second oven, print "YES". Otherwise print "NO".
[ "8 6 4 5\n", "8 6 4 6\n", "10 3 11 4\n", "4 2 1 4\n" ]
[ "YES\n", "NO\n", "NO\n", "YES\n" ]
In the first example it is possible to get 8 cakes in 12 minutes using one oven. The second oven can be built in 5 minutes, so after 6 minutes the first oven bakes 4 cakes, the second oven bakes 4 more ovens after 11 minutes. Thus, it is reasonable to build the second oven. In the second example it doesn't matter whe...
[ { "input": "8 6 4 5", "output": "YES" }, { "input": "8 6 4 6", "output": "NO" }, { "input": "10 3 11 4", "output": "NO" }, { "input": "4 2 1 4", "output": "YES" }, { "input": "28 17 16 26", "output": "NO" }, { "input": "60 69 9 438", "output": "NO"...
46
0
3
456
361
Levko and Table
[ "constructive algorithms", "implementation" ]
null
null
Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*. Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them.
The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000).
Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value. If there are multiple suitable tables, you are allowed to print any of them.
[ "2 4\n", "4 7\n" ]
[ "1 3\n3 1\n", "2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n" ]
In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample. In the second sample the sum of elements in each row and each column equals 7. Besides, there are other table...
[ { "input": "2 4", "output": "4 0 \n0 4 " }, { "input": "4 7", "output": "7 0 0 0 \n0 7 0 0 \n0 0 7 0 \n0 0 0 7 " }, { "input": "1 8", "output": "8 " }, { "input": "9 3", "output": "3 0 0 0 0 0 0 0 0 \n0 3 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 \n0 0 0 3 0 0 0 0 0 \n0 0 0 0 3 0...
140
2,560,000
3
459
967
Watering System
[ "math", "sortings" ]
null
null
Arkady wants to water his only flower. Unfortunately, he has a very poor watering system that was designed for $n$ flowers and so it looks like a pipe with $n$ holes. Arkady can only use the water that flows from the first hole. Arkady can block some of the holes, and then pour $A$ liters of water into the pipe. After...
The first line contains three integers $n$, $A$, $B$ ($1 \le n \le 100\,000$, $1 \le B \le A \le 10^4$) — the number of holes, the volume of water Arkady will pour into the system, and the volume he wants to get out of the first hole. The second line contains $n$ integers $s_1, s_2, \ldots, s_n$ ($1 \le s_i \le 10^4$)...
Print a single integer — the number of holes Arkady should block.
[ "4 10 3\n2 2 2 2\n", "4 80 20\n3 2 1 4\n", "5 10 10\n1000 1 1 1 1\n" ]
[ "1\n", "0\n", "4\n" ]
In the first example Arkady should block at least one hole. After that, $\frac{10 \cdot 2}{6} \approx 3.333$ liters of water will flow out of the first hole, and that suits Arkady. In the second example even without blocking any hole, $\frac{80 \cdot 3}{10} = 24$ liters will flow out of the first hole, that is not les...
[ { "input": "4 10 3\n2 2 2 2", "output": "1" }, { "input": "4 80 20\n3 2 1 4", "output": "0" }, { "input": "5 10 10\n1000 1 1 1 1", "output": "4" }, { "input": "10 300 100\n20 1 3 10 8 5 3 6 4 3", "output": "1" }, { "input": "10 300 100\n20 25 68 40 60 37 44 85 23 ...
62
7,065,600
0
460
0
none
[ "none" ]
null
null
Emuskald considers himself a master of flow algorithms. Now he has completed his most ingenious program yet — it calculates the maximum flow in an undirected graph. The graph consists of *n* vertices and *m* edges. Vertices are numbered from 1 to *n*. Vertices 1 and *n* being the source and the sink respectively. Howe...
The first line of input contains two space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=2·105, *n*<=-<=1<=≤<=*m*<=≤<=2·105), the number of vertices and edges in the graph. The following *m* lines contain three space-separated integers *a**i*, *b**i* and *c**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*, *a**i*<=≠<=*b**i*, 1<=≤<=*...
Output *m* lines, each containing one integer *d**i*, which should be 0 if the direction of the *i*-th edge is *a**i*<=→<=*b**i* (the flow goes from vertex *a**i* to vertex *b**i*) and should be 1 otherwise. The edges are numbered from 1 to *m* in the order they are given in the input. If there are several solutions y...
[ "3 3\n3 2 10\n1 2 10\n3 1 5\n", "4 5\n1 2 10\n1 3 10\n2 3 5\n4 2 15\n3 4 5\n" ]
[ "1\n0\n1\n", "0\n0\n1\n1\n0\n" ]
In the first test case, 10 flow units pass through path <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/609340f155794c4e9eebcd9cdfa23c73cf982f28.png" style="max-width: 100.0%;max-height: 100.0%;"/>, and 5 flow units pass directly from source to sink: <img align="middle" class="tex-formula" ...
[ { "input": "3 3\n3 2 10\n1 2 10\n3 1 5", "output": "1\n0\n1" }, { "input": "4 5\n1 2 10\n1 3 10\n2 3 5\n4 2 15\n3 4 5", "output": "0\n0\n1\n1\n0" }, { "input": "10 17\n8 1 1\n4 8 2\n7 10 8\n1 4 1\n5 4 3\n6 9 6\n3 5 4\n1 9 1\n3 9 5\n7 1 1\n1 2 1\n1 3 1\n6 7 7\n8 2 1\n1 10 1\n1 5 1\n6 1 1"...
15
0
-1
462
149
Business trip
[ "greedy", "implementation", "sortings" ]
null
null
What joy! Petya's parents went on a business trip for the whole year and the playful kid is left all by himself. Petya got absolutely happy. He jumped on the bed and threw pillows all day long, until... Today Petya opened the cupboard and found a scary note there. His parents had left him with duties: he should water...
The first line contains exactly one integer *k* (0<=≤<=*k*<=≤<=100). The next line contains twelve space-separated integers: the *i*-th (1<=≤<=*i*<=≤<=12) number in the line represents *a**i* (0<=≤<=*a**i*<=≤<=100).
Print the only integer — the minimum number of months when Petya has to water the flower so that the flower grows no less than by *k* centimeters. If the flower can't grow by *k* centimeters in a year, print -1.
[ "5\n1 1 1 1 2 2 3 2 2 1 1 1\n", "0\n0 0 0 0 0 0 0 1 1 2 3 0\n", "11\n1 1 4 1 1 5 1 1 4 1 1 1\n" ]
[ "2\n", "0\n", "3\n" ]
Let's consider the first sample test. There it is enough to water the flower during the seventh and the ninth month. Then the flower grows by exactly five centimeters. In the second sample Petya's parents will believe him even if the flower doesn't grow at all (*k* = 0). So, it is possible for Petya not to water the f...
[ { "input": "5\n1 1 1 1 2 2 3 2 2 1 1 1", "output": "2" }, { "input": "0\n0 0 0 0 0 0 0 1 1 2 3 0", "output": "0" }, { "input": "11\n1 1 4 1 1 5 1 1 4 1 1 1", "output": "3" }, { "input": "15\n20 1 1 1 1 2 2 1 2 2 1 1", "output": "1" }, { "input": "7\n8 9 100 12 14 ...
92
0
3
463
450
Jzzhu and Sequences
[ "implementation", "math" ]
null
null
Jzzhu has invented a kind of sequences, they meet the following property: You are given *x* and *y*, please calculate *f**n* modulo 1000000007 (109<=+<=7).
The first line contains two integers *x* and *y* (|*x*|,<=|*y*|<=≤<=109). The second line contains a single integer *n* (1<=≤<=*n*<=≤<=2·109).
Output a single integer representing *f**n* modulo 1000000007 (109<=+<=7).
[ "2 3\n3\n", "0 -1\n2\n" ]
[ "1\n", "1000000006\n" ]
In the first sample, *f*<sub class="lower-index">2</sub> = *f*<sub class="lower-index">1</sub> + *f*<sub class="lower-index">3</sub>, 3 = 2 + *f*<sub class="lower-index">3</sub>, *f*<sub class="lower-index">3</sub> = 1. In the second sample, *f*<sub class="lower-index">2</sub> =  - 1;  - 1 modulo (10<sup class="upper-...
[ { "input": "2 3\n3", "output": "1" }, { "input": "0 -1\n2", "output": "1000000006" }, { "input": "-9 -11\n12345", "output": "1000000005" }, { "input": "0 0\n1000000000", "output": "0" }, { "input": "-1000000000 1000000000\n2000000000", "output": "1000000000" ...
1,000
1,331,200
0
464
136
Presents
[ "implementation" ]
null
null
Little Petya very much likes gifts. Recently he has received a new laptop as a New Year gift from his mother. He immediately decided to give it to somebody else as what can be more pleasant than giving somebody gifts. And on this occasion he organized a New Year party at his place and invited *n* his friends there. If...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the quantity of friends Petya invited to the party. The second line contains *n* space-separated integers: the *i*-th number is *p**i* — the number of a friend who gave a gift to friend number *i*. It is guaranteed that each friend received exactly one gift....
Print *n* space-separated integers: the *i*-th number should equal the number of the friend who gave a gift to friend number *i*.
[ "4\n2 3 4 1\n", "3\n1 3 2\n", "2\n1 2\n" ]
[ "4 1 2 3\n", "1 3 2\n", "1 2\n" ]
none
[ { "input": "4\n2 3 4 1", "output": "4 1 2 3" }, { "input": "3\n1 3 2", "output": "1 3 2" }, { "input": "2\n1 2", "output": "1 2" }, { "input": "1\n1", "output": "1" }, { "input": "10\n1 3 2 6 4 5 7 9 8 10", "output": "1 3 2 5 6 4 7 9 8 10" }, { "input"...
92
0
3
465
994
Knights of a Polygonal Table
[ "greedy", "implementation", "sortings" ]
null
null
Unlike Knights of a Round Table, Knights of a Polygonal Table deprived of nobility and happy to kill each other. But each knight has some power and a knight can kill another knight if and only if his power is greater than the power of victim. However, even such a knight will torment his conscience, so he can kill no mo...
The first line contains two integers $n$ and $k$ $(1 \le n \le 10^5, 0 \le k \le \min(n-1,10))$ — the number of knights and the number $k$ from the statement. The second line contains $n$ integers $p_1, p_2 ,\ldots,p_n$ $(1 \le p_i \le 10^9)$ — powers of the knights. All $p_i$ are distinct. The third line contains $n...
Print $n$ integers — the maximum number of coins each knight can have it only he kills other knights.
[ "4 2\n4 5 9 7\n1 2 11 33\n", "5 1\n1 2 3 4 5\n1 2 3 4 5\n", "1 0\n2\n3\n" ]
[ "1 3 46 36 ", "1 3 5 7 9 ", "3 " ]
Consider the first example. - The first knight is the weakest, so he can't kill anyone. That leaves him with the only coin he initially has. - The second knight can kill the first knight and add his coin to his own two. - The third knight is the strongest, but he can't kill more than $k = 2$ other knights. It is o...
[ { "input": "4 2\n4 5 9 7\n1 2 11 33", "output": "1 3 46 36 " }, { "input": "5 1\n1 2 3 4 5\n1 2 3 4 5", "output": "1 3 5 7 9 " }, { "input": "1 0\n2\n3", "output": "3 " }, { "input": "7 1\n2 3 4 5 7 8 9\n0 3 7 9 5 8 9", "output": "0 3 10 16 14 17 18 " }, { "input"...
61
0
0
466
574
Bear and Elections
[ "greedy", "implementation" ]
null
null
Limak is a grizzly bear who desires power and adoration. He wants to win in upcoming elections and rule over the Bearland. There are *n* candidates, including Limak. We know how many citizens are going to vote for each candidate. Now *i*-th candidate would get *a**i* votes. Limak is candidate number 1. To win in elect...
The first line contains single integer *n* (2<=≤<=*n*<=≤<=100) - number of candidates. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000) - number of votes for each candidate. Limak is candidate number 1. Note that after bribing number of votes for some candidate ...
Print the minimum number of citizens Limak must bribe to have strictly more votes than any other candidate.
[ "5\n5 1 11 2 8\n", "4\n1 8 8 8\n", "2\n7 6\n" ]
[ "4\n", "6\n", "0\n" ]
In the first sample Limak has 5 votes. One of the ways to achieve victory is to bribe 4 citizens who want to vote for the third candidate. Then numbers of votes would be 9, 1, 7, 2, 8 (Limak would have 9 votes). Alternatively, Limak could steal only 3 votes from the third candidate and 1 vote from the second candidate ...
[ { "input": "5\n5 1 11 2 8", "output": "4" }, { "input": "4\n1 8 8 8", "output": "6" }, { "input": "2\n7 6", "output": "0" }, { "input": "2\n1 1", "output": "1" }, { "input": "10\n100 200 57 99 1 1000 200 200 200 500", "output": "451" }, { "input": "16\...
46
0
3
467
505
Mr. Kitayuta's Colorful Graph
[ "dfs and similar", "dp", "dsu", "graphs" ]
null
null
Mr. Kitayuta has just bought an undirected graph consisting of *n* vertices and *m* edges. The vertices of the graph are numbered from 1 to *n*. Each edge, namely edge *i*, has a color *c**i*, connecting vertex *a**i* and *b**i*. Mr. Kitayuta wants you to process the following *q* queries. In the *i*-th query, he giv...
The first line of the input contains space-separated two integers — *n* and *m* (2<=≤<=*n*<=≤<=100,<=1<=≤<=*m*<=≤<=100), denoting the number of the vertices and the number of the edges, respectively. The next *m* lines contain space-separated three integers — *a**i*, *b**i* (1<=≤<=*a**i*<=&lt;<=*b**i*<=≤<=*n*) and *c*...
For each query, print the answer in a separate line.
[ "4 5\n1 2 1\n1 2 2\n2 3 1\n2 3 3\n2 4 3\n3\n1 2\n3 4\n1 4\n", "5 7\n1 5 1\n2 5 1\n3 5 1\n4 5 1\n1 2 2\n2 3 2\n3 4 2\n5\n1 5\n5 1\n2 5\n1 5\n1 4\n" ]
[ "2\n1\n0\n", "1\n1\n1\n1\n2\n" ]
Let's consider the first sample. - Vertex 1 and vertex 2 are connected by color 1 and 2. - Vertex 3 and vertex 4 are connected by color 3. - Vertex 1 and vertex 4 are not connected by any single color.
[ { "input": "4 5\n1 2 1\n1 2 2\n2 3 1\n2 3 3\n2 4 3\n3\n1 2\n3 4\n1 4", "output": "2\n1\n0" }, { "input": "5 7\n1 5 1\n2 5 1\n3 5 1\n4 5 1\n1 2 2\n2 3 2\n3 4 2\n5\n1 5\n5 1\n2 5\n1 5\n1 4", "output": "1\n1\n1\n1\n2" }, { "input": "2 1\n1 2 1\n1\n1 2", "output": "1" }, { "input...
93
0
0
469
518
Tanya and Postcard
[ "greedy", "implementation", "strings" ]
null
null
Little Tanya decided to present her dad a postcard on his Birthday. She has already created a message — string *s* of length *n*, consisting of uppercase and lowercase English letters. Tanya can't write yet, so she found a newspaper and decided to cut out the letters and glue them into the postcard to achieve string *s...
The first line contains line *s* (1<=≤<=|*s*|<=≤<=2·105), consisting of uppercase and lowercase English letters — the text of Tanya's message. The second line contains line *t* (|*s*|<=≤<=|*t*|<=≤<=2·105), consisting of uppercase and lowercase English letters — the text written in the newspaper. Here |*a*| means the ...
Print two integers separated by a space: - the first number is the number of times Tanya shouts "YAY!" while making the message, - the second number is the number of times Tanya says "WHOOPS" while making the message.
[ "AbC\nDCbA\n", "ABC\nabc\n", "abacaba\nAbaCaBA\n" ]
[ "3 0\n", "0 3\n", "3 4\n" ]
none
[ { "input": "AbC\nDCbA", "output": "3 0" }, { "input": "ABC\nabc", "output": "0 3" }, { "input": "abacaba\nAbaCaBA", "output": "3 4" }, { "input": "zzzzz\nZZZZZ", "output": "0 5" }, { "input": "zzzZZZ\nZZZzzZ", "output": "5 1" }, { "input": "abcdefghijk...
2,000
17,408,000
0
470
505
Mr. Kitayuta's Gift
[ "brute force", "implementation", "strings" ]
null
null
Mr. Kitayuta has kindly given you a string *s* consisting of lowercase English letters. You are asked to insert exactly one lowercase English letter into *s* to make it a palindrome. A palindrome is a string that reads the same forward and backward. For example, "noon", "testset" and "a" are all palindromes, while "tes...
The only line of the input contains a string *s* (1<=≤<=|*s*|<=≤<=10). Each character in *s* is a lowercase English letter.
If it is possible to turn *s* into a palindrome by inserting one lowercase English letter, print the resulting string in a single line. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one solution, any of them will be accepted.
[ "revive\n", "ee\n", "kitayuta\n" ]
[ "reviver\n", "eye", "NA\n" ]
For the first sample, insert 'r' to the end of "revive" to obtain a palindrome "reviver". For the second sample, there is more than one solution. For example, "eve" will also be accepted. For the third sample, it is not possible to turn "kitayuta" into a palindrome by just inserting one letter.
[ { "input": "revive", "output": "reviver" }, { "input": "ee", "output": "eee" }, { "input": "kitayuta", "output": "NA" }, { "input": "evima", "output": "NA" }, { "input": "a", "output": "aa" }, { "input": "yutampo", "output": "NA" }, { "inpu...
732
10,752,000
0
471
680
Bear and Finding Criminals
[ "constructive algorithms", "implementation" ]
null
null
There are *n* cities in Bearland, numbered 1 through *n*. Cities are arranged in one long row. The distance between cities *i* and *j* is equal to |*i*<=-<=*j*|. Limak is a police officer. He lives in a city *a*. His job is to catch criminals. It's hard because he doesn't know in which cities criminals are. Though, he...
The first line of the input contains two integers *n* and *a* (1<=≤<=*a*<=≤<=*n*<=≤<=100) — the number of cities and the index of city where Limak lives. The second line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (0<=≤<=*t**i*<=≤<=1). There are *t**i* criminals in the *i*-th city.
Print the number of criminals Limak will catch.
[ "6 3\n1 1 1 0 1 0\n", "5 2\n0 0 0 1 0\n" ]
[ "3\n", "1\n" ]
In the first sample, there are six cities and Limak lives in the third one (blue arrow below). Criminals are in cities marked red. Using the BCD gives Limak the following information: - There is one criminal at distance 0 from the third city — Limak is sure that this criminal is exactly in the third city. - There i...
[ { "input": "6 3\n1 1 1 0 1 0", "output": "3" }, { "input": "5 2\n0 0 0 1 0", "output": "1" }, { "input": "1 1\n1", "output": "1" }, { "input": "1 1\n0", "output": "0" }, { "input": "9 3\n1 1 1 1 1 1 1 1 0", "output": "8" }, { "input": "9 5\n1 0 1 0 1 0...
31
0
0
473
71
Way Too Long Words
[ "strings" ]
A. Way Too Long Words
1
256
Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome. Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation. This abbreviation is made lik...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters.
Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data.
[ "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n" ]
[ "word\nl10n\ni18n\np43s\n" ]
none
[ { "input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis", "output": "word\nl10n\ni18n\np43s" }, { "input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm", "output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m" }, { "input":...
30
0
0
476
841
Generous Kefa
[ "brute force", "implementation" ]
null
null
One day Kefa found *n* baloons. For convenience, we denote color of *i*-th baloon as *s**i* — lowercase letter of the Latin alphabet. Also Kefa has *k* friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his...
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100) — the number of baloons and friends. Next line contains string *s* — colors of baloons.
Answer to the task — «YES» or «NO» in a single line. You can choose the case (lower or upper) for each letter arbitrary.
[ "4 2\naabb\n", "6 3\naacaab\n" ]
[ "YES\n", "NO\n" ]
In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second. In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO».
[ { "input": "4 2\naabb", "output": "YES" }, { "input": "6 3\naacaab", "output": "NO" }, { "input": "2 2\nlu", "output": "YES" }, { "input": "5 3\novvoo", "output": "YES" }, { "input": "36 13\nbzbzcffczzcbcbzzfzbbfzfzzbfbbcbfccbf", "output": "YES" }, { "...
62
307,200
3
477
365
Good Number
[ "implementation" ]
null
null
Let's call a number *k*-good if it contains all digits not exceeding *k* (0,<=...,<=*k*). You've got a number *k* and an array *a* containing *n* numbers. Find out how many *k*-good numbers are in *a* (count each number every time it occurs in array *a*).
The first line contains integers *n* and *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=9). The *i*-th of the following *n* lines contains integer *a**i* without leading zeroes (1<=≤<=*a**i*<=≤<=109).
Print a single integer — the number of *k*-good numbers in *a*.
[ "10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n", "2 1\n1\n10\n" ]
[ "10\n", "1\n" ]
none
[ { "input": "10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560", "output": "10" }, { "input": "2 1\n1\n10", "output": "1" }, { "input": "1 0\n1000000000", "output": "1" }, { "input": "1 1\n1000000000", "output": "1" }, { ...
46
0
0
478
987
Infinity Gauntlet
[ "implementation" ]
null
null
You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems: - the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color. Using colors...
In the first line of input there is one integer $n$ ($0 \le n \le 6$) — the number of Gems in Infinity Gauntlet. In next $n$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase ...
In the first line output one integer $m$ ($0 \le m \le 6$) — the number of absent Gems. Then in $m$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase.
[ "4\nred\npurple\nyellow\norange\n", "0\n" ]
[ "2\nSpace\nTime\n", "6\nTime\nMind\nSoul\nPower\nReality\nSpace\n" ]
In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space. In the second sample Thanos doesn't have any Gems, so he needs all six.
[ { "input": "4\nred\npurple\nyellow\norange", "output": "2\nSpace\nTime" }, { "input": "0", "output": "6\nMind\nSpace\nPower\nTime\nReality\nSoul" }, { "input": "6\npurple\nblue\nyellow\nred\ngreen\norange", "output": "0" }, { "input": "1\npurple", "output": "5\nTime\nReal...
109
307,200
3
481
988
Points and Powers of Two
[ "brute force", "math" ]
null
null
There are $n$ distinct points on a coordinate line, the coordinate of $i$-th point equals to $x_i$. Choose a subset of the given set of points such that the distance between each pair of points in a subset is an integral power of two. It is necessary to consider each pair of points, not only adjacent. Note that any sub...
The first line contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the number of points. The second line contains $n$ pairwise distinct integers $x_1, x_2, \dots, x_n$ ($-10^9 \le x_i \le 10^9$) — the coordinates of points.
In the first line print $m$ — the maximum possible number of points in a subset that satisfies the conditions described above. In the second line print $m$ integers — the coordinates of points in the subset you have chosen. If there are multiple answers, print any of them.
[ "6\n3 5 4 7 10 12\n", "5\n-1 2 5 8 11\n" ]
[ "3\n7 3 5", "1\n8\n" ]
In the first example the answer is $[7, 3, 5]$. Note, that $|7-3|=4=2^2$, $|7-5|=2=2^1$ and $|3-5|=2=2^1$. You can't find a subset having more points satisfying the required property.
[ { "input": "6\n3 5 4 7 10 12", "output": "3\n3 4 5 " }, { "input": "5\n-1 2 5 8 11", "output": "1\n-1 " }, { "input": "1\n42", "output": "1\n42 " }, { "input": "3\n0 -536870912 536870912", "output": "3\n-536870912 0 536870912 " }, { "input": "2\n536870912 -5368709...
639
34,201,600
3
482
408
Line to Cashier
[ "implementation" ]
null
null
Little Vasya went to the supermarket to get some groceries. He walked about the supermarket for a long time and got a basket full of products. Now he needs to choose the cashier to pay for the products. There are *n* cashiers at the exit from the supermarket. At the moment the queue for the *i*-th cashier already has ...
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of cashes in the shop. The second line contains *n* space-separated integers: *k*1,<=*k*2,<=...,<=*k**n* (1<=≤<=*k**i*<=≤<=100), where *k**i* is the number of people in the queue to the *i*-th cashier. The *i*-th of the next *n* lines contains *k**i*...
Print a single integer — the minimum number of seconds Vasya needs to get to the cashier.
[ "1\n1\n1\n", "4\n1 4 3 2\n100\n1 2 2 3\n1 9 1\n7 8\n" ]
[ "20\n", "100\n" ]
In the second test sample, if Vasya goes to the first queue, he gets to the cashier in 100·5 + 15 = 515 seconds. But if he chooses the second queue, he will need 1·5 + 2·5 + 2·5 + 3·5 + 4·15 = 100 seconds. He will need 1·5 + 9·5 + 1·5 + 3·15 = 100 seconds for the third one and 7·5 + 8·5 + 2·15 = 105 seconds for the fou...
[ { "input": "1\n1\n1", "output": "20" }, { "input": "4\n1 4 3 2\n100\n1 2 2 3\n1 9 1\n7 8", "output": "100" }, { "input": "4\n5 4 5 5\n3 1 3 1 2\n3 1 1 3\n1 1 1 2 2\n2 2 1 1 3", "output": "100" }, { "input": "5\n5 3 6 6 4\n7 5 3 3 9\n6 8 2\n1 10 8 5 9 2\n9 7 8 5 9 10\n9 8 3 3"...
124
0
3
483
570
Simple Game
[ "constructive algorithms", "games", "greedy", "implementation", "math" ]
null
null
One day Misha and Andrew were playing a very simple game. First, each player chooses an integer in the range from 1 to *n*. Let's assume that Misha chose number *m*, and Andrew chose number *a*. Then, by using a random generator they choose a random integer *c* in the range between 1 and *n* (any integer from 1 to *n*...
The first line contains two integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=109) — the range of numbers in the game, and the number selected by Misha respectively.
Print a single number — such value *a*, that probability that Andrew wins is the highest. If there are multiple such values, print the minimum of them.
[ "3 1\n", "4 3\n" ]
[ "2", "2" ]
In the first sample test: Andrew wins if *c* is equal to 2 or 3. The probability that Andrew wins is 2 / 3. If Andrew chooses *a* = 3, the probability of winning will be 1 / 3. If *a* = 1, the probability of winning is 0. In the second sample test: Andrew wins if *c* is equal to 1 and 2. The probability that Andrew wi...
[ { "input": "3 1", "output": "2" }, { "input": "4 3", "output": "2" }, { "input": "5 5", "output": "4" }, { "input": "10 5", "output": "6" }, { "input": "20 13", "output": "12" }, { "input": "51 1", "output": "2" }, { "input": "100 50", ...
46
0
3
486
598
Nearest vectors
[ "geometry", "sortings" ]
null
null
You are given the set of vectors on the plane, each of them starting at the origin. Your task is to find a pair of vectors with the minimal non-oriented angle between them. Non-oriented angle is non-negative value, minimal between clockwise and counterclockwise direction angles. Non-oriented angle is always between 0 ...
First line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000) — the number of vectors. The *i*-th of the following *n* lines contains two integers *x**i* and *y**i* (|*x*|,<=|*y*|<=≤<=10<=000,<=*x*2<=+<=*y*2<=&gt;<=0) — the coordinates of the *i*-th vector. Vectors are numbered from 1 to *n* in order ...
Print two integer numbers *a* and *b* (*a*<=≠<=*b*) — a pair of indices of vectors with the minimal non-oriented angle. You can print the numbers in any order. If there are many possible answers, print any.
[ "4\n-1 0\n0 -1\n1 0\n1 1\n", "6\n-1 0\n0 -1\n1 0\n1 1\n-4 -5\n-4 -6\n" ]
[ "3 4\n", "6 5" ]
none
[ { "input": "4\n-1 0\n0 -1\n1 0\n1 1", "output": "3 4" }, { "input": "6\n-1 0\n0 -1\n1 0\n1 1\n-4 -5\n-4 -6", "output": "5 6" }, { "input": "10\n8 6\n-7 -3\n9 8\n7 10\n-3 -8\n3 7\n6 -8\n-9 8\n9 2\n6 7", "output": "1 3" }, { "input": "20\n-9 8\n-7 3\n0 10\n3 7\n6 -9\n6 8\n7 -6\...
62
614,400
0
487
567
Lineland Mail
[ "greedy", "implementation" ]
null
null
All cities of Lineland are located on the *Ox* coordinate axis. Thus, each city is associated with its position *x**i* — a coordinate on the *Ox* axis. No two cities are located at a single point. Lineland residents love to send letters to each other. A person may send a letter only if the recipient lives in another c...
The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=105) — the number of cities in Lineland. The second line contains the sequence of *n* distinct integers *x*1,<=*x*2,<=...,<=*x**n* (<=-<=109<=≤<=*x**i*<=≤<=109), where *x**i* is the *x*-coordinate of the *i*-th city. All the *x**i*'s are distinct and follo...
Print *n* lines, the *i*-th line must contain two integers *min**i*,<=*max**i*, separated by a space, where *min**i* is the minimum cost of sending a letter from the *i*-th city, and *max**i* is the maximum cost of sending a letter from the *i*-th city.
[ "4\n-5 -2 2 7\n", "2\n-1 1\n" ]
[ "3 12\n3 9\n4 7\n5 12\n", "2 2\n2 2\n" ]
none
[ { "input": "4\n-5 -2 2 7", "output": "3 12\n3 9\n4 7\n5 12" }, { "input": "2\n-1 1", "output": "2 2\n2 2" }, { "input": "3\n-1 0 1", "output": "1 2\n1 1\n1 2" }, { "input": "4\n-1 0 1 3", "output": "1 4\n1 3\n1 2\n2 4" }, { "input": "3\n-1000000000 0 1000000000", ...
514
15,872,000
3
488
731
Night at the Museum
[ "implementation", "strings" ]
null
null
Grigoriy, like the hero of one famous comedy film, found a job as a night security guard at the museum. At first night he received embosser and was to take stock of the whole exposition. Embosser is a special devise that allows to "print" the text of a plastic tape. Text is printed sequentially, character by character...
The only line of input contains the name of some exhibit — the non-empty string consisting of no more than 100 characters. It's guaranteed that the string consists of only lowercase English letters.
Print one integer — the minimum number of rotations of the wheel, required to print the name given in the input.
[ "zeus\n", "map\n", "ares\n" ]
[ "18\n", "35\n", "34\n" ]
To print the string from the first sample it would be optimal to perform the following sequence of rotations: 1. from 'a' to 'z' (1 rotation counterclockwise), 1. from 'z' to 'e' (5 clockwise rotations), 1. from 'e' to 'u' (10 rotations counterclockwise), 1. from 'u' to 's' (2 counterclockwise rotations).
[ { "input": "zeus", "output": "18" }, { "input": "map", "output": "35" }, { "input": "ares", "output": "34" }, { "input": "l", "output": "11" }, { "input": "abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuv", "...
46
0
0
491
933
A Determined Cleanup
[ "math" ]
null
null
In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two integers *p* and *k*, find a polynomial *f*(*x*) with non-negative integer coefficien...
The only line of input contains two space-separated integers *p* and *k* (1<=≤<=*p*<=≤<=1018, 2<=≤<=*k*<=≤<=2<=000).
If the polynomial does not exist, print a single integer -1, or output two lines otherwise. In the first line print a non-negative integer *d* — the number of coefficients in the polynomial. In the second line print *d* space-separated integers *a*0,<=*a*1,<=...,<=*a**d*<=-<=1, describing a polynomial fulfilling the...
[ "46 2\n", "2018 214\n" ]
[ "7\n0 1 0 0 1 1 1\n", "3\n92 205 1\n" ]
In the first example, *f*(*x*) = *x*<sup class="upper-index">6</sup> + *x*<sup class="upper-index">5</sup> + *x*<sup class="upper-index">4</sup> + *x* = (*x*<sup class="upper-index">5</sup> - *x*<sup class="upper-index">4</sup> + 3*x*<sup class="upper-index">3</sup> - 6*x*<sup class="upper-index">2</sup> + 12*x* - 23)·...
[ { "input": "46 2", "output": "7\n0 1 0 0 1 1 1" }, { "input": "2018 214", "output": "3\n92 205 1" }, { "input": "4 2", "output": "3\n0 0 1" }, { "input": "5 2", "output": "3\n1 0 1" }, { "input": "10 3", "output": "3\n1 0 1" }, { "input": "250 1958", ...
62
5,632,000
3
493
382
Ksenia and Pan Scales
[ "greedy", "implementation" ]
null
null
Ksenia has ordinary pan scales and several weights of an equal mass. Ksenia has already put some weights on the scales, while other weights are untouched. Ksenia is now wondering whether it is possible to put all the remaining weights on the scales so that the scales were in equilibrium. The scales is in equilibrium ...
The first line has a non-empty sequence of characters describing the scales. In this sequence, an uppercase English letter indicates a weight, and the symbol "|" indicates the delimiter (the character occurs in the sequence exactly once). All weights that are recorded in the sequence before the delimiter are initially ...
If you cannot put all the weights on the scales so that the scales were in equilibrium, print string "Impossible". Otherwise, print the description of the resulting scales, copy the format of the input. If there are multiple answers, print any of them.
[ "AC|T\nL\n", "|ABC\nXYZ\n", "W|T\nF\n", "ABC|\nD\n" ]
[ "AC|TL\n", "XYZ|ABC\n", "Impossible\n", "Impossible\n" ]
none
[ { "input": "AC|T\nL", "output": "AC|TL" }, { "input": "|ABC\nXYZ", "output": "XYZ|ABC" }, { "input": "W|T\nF", "output": "Impossible" }, { "input": "ABC|\nD", "output": "Impossible" }, { "input": "A|BC\nDEF", "output": "ADF|BCE" }, { "input": "|\nABC",...
77
0
3
494
780
Andryusha and Socks
[ "implementation" ]
null
null
Andryusha is an orderly boy and likes to keep things in their place. Today he faced a problem to put his socks in the wardrobe. He has *n* distinct pairs of socks which are initially in a bag. The pairs are numbered from 1 to *n*. Andryusha wants to put paired socks together and put them in the wardrobe. He takes the ...
The first line contains the single integer *n* (1<=≤<=*n*<=≤<=105) — the number of sock pairs. The second line contains 2*n* integers *x*1,<=*x*2,<=...,<=*x*2*n* (1<=≤<=*x**i*<=≤<=*n*), which describe the order in which Andryusha took the socks from the bag. More precisely, *x**i* means that the *i*-th sock Andryusha ...
Print single integer — the maximum number of socks that were on the table at the same time.
[ "1\n1 1\n", "3\n2 1 1 3 2 3\n" ]
[ "1\n", "2\n" ]
In the first example Andryusha took a sock from the first pair and put it on the table. Then he took the next sock which is from the first pair as well, so he immediately puts both socks to the wardrobe. Thus, at most one sock was on the table at the same time. In the second example Andryusha behaved as follows: - ...
[ { "input": "1\n1 1", "output": "1" }, { "input": "3\n2 1 1 3 2 3", "output": "2" }, { "input": "5\n5 1 3 2 4 3 1 2 4 5", "output": "5" }, { "input": "10\n4 2 6 3 4 8 7 1 1 5 2 10 6 8 3 5 10 9 9 7", "output": "6" }, { "input": "50\n30 47 31 38 37 50 36 43 9 23 2 2 ...
2,000
13,926,400
0
495
652
Gabriel and Caterpillar
[ "implementation", "math" ]
null
null
The 9-th grade student Gabriel noticed a caterpillar on a tree when walking around in a forest after the classes. The caterpillar was on the height *h*1 cm from the ground. On the height *h*2 cm (*h*2<=&gt;<=*h*1) on the same tree hung an apple and the caterpillar was crawling to the apple. Gabriel is interested when ...
The first line contains two integers *h*1,<=*h*2 (1<=≤<=*h*1<=&lt;<=*h*2<=≤<=105) — the heights of the position of the caterpillar and the apple in centimeters. The second line contains two integers *a*,<=*b* (1<=≤<=*a*,<=*b*<=≤<=105) — the distance the caterpillar goes up by day and slips down by night, in centimeter...
Print the only integer *k* — the number of days Gabriel should wait to return to the forest and see the caterpillar getting the apple. If the caterpillar can't get the apple print the only integer <=-<=1.
[ "10 30\n2 1\n", "10 13\n1 1\n", "10 19\n1 2\n", "1 50\n5 4\n" ]
[ "1\n", "0\n", "-1\n", "1\n" ]
In the first example at 10 pm of the first day the caterpillar gets the height 26. At 10 am of the next day it slips down to the height 14. And finally at 6 pm of the same day the caterpillar gets the apple. Note that in the last example the caterpillar was slipping down under the ground and getting the apple on the n...
[ { "input": "10 30\n2 1", "output": "1" }, { "input": "10 13\n1 1", "output": "0" }, { "input": "10 19\n1 2", "output": "-1" }, { "input": "1 50\n5 4", "output": "1" }, { "input": "1 1000\n2 1", "output": "82" }, { "input": "999 1000\n1 1", "output"...
109
0
3
496
509
Maximum in Table
[ "brute force", "implementation" ]
null
null
An *n*<=×<=*n* table *a* is defined as follows: - The first row and the first column contain ones, that is: *a**i*,<=1<==<=*a*1,<=*i*<==<=1 for all *i*<==<=1,<=2,<=...,<=*n*. - Each of the remaining numbers in the table is equal to the sum of the number above it and the number to the left of it. In other words, the ...
The only line of input contains a positive integer *n* (1<=≤<=*n*<=≤<=10) — the number of rows and columns of the table.
Print a single line containing a positive integer *m* — the maximum value in the table.
[ "1\n", "5\n" ]
[ "1", "70" ]
In the second test the rows of the table look as follows:
[ { "input": "1", "output": "1" }, { "input": "5", "output": "70" }, { "input": "2", "output": "2" }, { "input": "3", "output": "6" }, { "input": "4", "output": "20" }, { "input": "6", "output": "252" }, { "input": "7", "output": "924" ...
93
0
3
497
550
Two Substrings
[ "brute force", "dp", "greedy", "implementation", "strings" ]
null
null
You are given string *s*. Your task is to determine if the given string *s* contains two non-overlapping substrings "AB" and "BA" (the substrings can go in any order).
The only line of input contains a string *s* of length between 1 and 105 consisting of uppercase Latin letters.
Print "YES" (without the quotes), if string *s* contains two non-overlapping substrings "AB" and "BA", and "NO" otherwise.
[ "ABA\n", "BACFAB\n", "AXBYBXA\n" ]
[ "NO\n", "YES\n", "NO\n" ]
In the first sample test, despite the fact that there are substrings "AB" and "BA", their occurrences overlap, so the answer is "NO". In the second sample test there are the following occurrences of the substrings: BACFAB. In the third sample test there is no substring "AB" nor substring "BA".
[ { "input": "ABA", "output": "NO" }, { "input": "BACFAB", "output": "YES" }, { "input": "AXBYBXA", "output": "NO" }, { "input": "ABABAB", "output": "YES" }, { "input": "BBBBBBBBBB", "output": "NO" }, { "input": "ABBA", "output": "YES" }, { "...
61
0
3
498
766
Mahmoud and Longest Uncommon Subsequence
[ "constructive algorithms", "strings" ]
null
null
While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings *a* and *b*, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence ...
The first line contains string *a*, and the second line — string *b*. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters.
If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of *a* and *b*.
[ "abcd\ndefgh\n", "a\na\n" ]
[ "5\n", "-1\n" ]
In the first example: you can choose "defgh" from string *b* as it is the longest subsequence of string *b* that doesn't appear as a subsequence of string *a*.
[ { "input": "abcd\ndefgh", "output": "5" }, { "input": "a\na", "output": "-1" }, { "input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaacccccccccccccccccccccccccccccccccccccccccccccccccc\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadddddddddddddddddddddddddddddddddddddddddddd...
46
0
0
499
3
Lorry
[ "greedy", "sortings" ]
B. Lorry
2
64
A group of tourists is going to kayak and catamaran tour. A rented lorry has arrived to the boat depot to take kayaks and catamarans to the point of departure. It's known that all kayaks are of the same size (and each of them occupies the space of 1 cubic metre), and all catamarans are of the same size, but two times b...
The first line contains a pair of integer numbers *n* and *v* (1<=≤<=*n*<=≤<=105; 1<=≤<=*v*<=≤<=109), where *n* is the number of waterborne vehicles in the boat depot, and *v* is the truck body volume of the lorry in cubic metres. The following *n* lines contain the information about the waterborne vehicles, that is a ...
In the first line print the maximum possible carrying capacity of the set. In the second line print a string consisting of the numbers of the vehicles that make the optimal set. If the answer is not unique, print any of them.
[ "3 2\n1 2\n2 7\n1 3\n" ]
[ "7\n2\n" ]
none
[ { "input": "3 2\n1 2\n2 7\n1 3", "output": "7\n2" }, { "input": "5 3\n1 9\n2 9\n1 9\n2 10\n1 6", "output": "24\n3 1 5" }, { "input": "10 10\n1 14\n2 15\n2 11\n2 12\n2 9\n1 14\n2 15\n1 9\n2 11\n2 6", "output": "81\n6 1 7 2 4 9" }, { "input": "20 19\n2 47\n1 37\n1 48\n2 42\n2 4...
122
2,969,600
-1
500
417
Crash
[ "implementation" ]
null
null
During the "Russian Code Cup" programming competition, the testing system stores all sent solutions for each participant. We know that many participants use random numbers in their programs and are often sent several solutions with the same source code to check. Each participant is identified by some unique positive i...
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of solutions. Each of the following *n* lines contains two integers separated by space *x* and *k* (0<=≤<=*x*<=≤<=105; 1<=≤<=*k*<=≤<=105) — the number of previous unique solutions and the identifier of the participant.
A single line of the output should contain «YES» if the data is in chronological order, and «NO» otherwise.
[ "2\n0 1\n1 1\n", "4\n0 1\n1 2\n1 1\n0 2\n", "4\n0 1\n1 1\n0 1\n0 2\n" ]
[ "YES\n", "NO\n", "YES\n" ]
none
[ { "input": "2\n0 1\n1 1", "output": "YES" }, { "input": "4\n0 1\n1 2\n1 1\n0 2", "output": "NO" }, { "input": "4\n0 1\n1 1\n0 1\n0 2", "output": "YES" }, { "input": "4\n7 1\n4 2\n8 2\n1 8", "output": "NO" }, { "input": "2\n0 8\n0 5", "output": "YES" }, { ...
342
16,691,200
3
501
0
none
[ "none" ]
null
null
Little boy Gerald studies at school which is quite far from his house. That's why he has to go there by bus every day. The way from home to school is represented by a segment of a straight line; the segment contains exactly *n*<=+<=1 bus stops. All of them are numbered with integers from 0 to *n* in the order in which ...
The first line contains two space-separated integers: *n* and *m* (1<=≤<=*n*<=≤<=109,<=0<=≤<=*m*<=≤<=105). Then follow *m* lines each containing two integers *s**i*,<=*t**i*. They are the numbers of starting stops and end stops of the buses (0<=≤<=*s**i*<=&lt;<=*t**i*<=≤<=*n*).
Print the only number — the number of ways to get to the school modulo 1000000007 (109<=+<=7).
[ "2 2\n0 1\n1 2\n", "3 2\n0 1\n1 2\n", "5 5\n0 1\n0 2\n0 3\n0 4\n0 5\n" ]
[ "1\n", "0\n", "16\n" ]
The first test has the only variant to get to school: first on bus number one to the bus stop number one; then on bus number two to the bus stop number two. In the second test no bus goes to the third bus stop, where the school is positioned. Thus, the correct answer is 0. In the third test Gerald can either get or n...
[ { "input": "2 2\n0 1\n1 2", "output": "1" }, { "input": "3 2\n0 1\n1 2", "output": "0" }, { "input": "5 5\n0 1\n0 2\n0 3\n0 4\n0 5", "output": "16" }, { "input": "3 3\n1 2\n2 3\n1 3", "output": "0" }, { "input": "10 10\n0 1\n0 2\n0 3\n0 4\n0 5\n0 6\n0 7\n0 8\n0 9\...
92
0
0
504
487
Tourists
[ "data structures", "dfs and similar", "graphs", "trees" ]
null
null
There are *n* cities in Cyberland, numbered from 1 to *n*, connected by *m* bidirectional roads. The *j*-th road connects city *a**j* and *b**j*. For tourists, souvenirs are sold in every city of Cyberland. In particular, city *i* sell it at a price of *w**i*. Now there are *q* queries for you to handle. There are tw...
The first line of input contains three integers *n*,<=*m*,<=*q* (1<=≤<=*n*,<=*m*,<=*q*<=≤<=105), separated by a single space. Next *n* lines contain integers *w**i* (1<=≤<=*w**i*<=≤<=109). Next *m* lines contain pairs of space-separated integers *a**j* and *b**j* (1<=≤<=*a**j*,<=*b**j*<=≤<=*n*,<=*a**j*<=≠<=*b**j*). ...
For each query of type "A", output the corresponding answer.
[ "3 3 3\n1\n2\n3\n1 2\n2 3\n1 3\nA 2 3\nC 1 5\nA 2 3\n", "7 9 4\n1\n2\n3\n4\n5\n6\n7\n1 2\n2 5\n1 5\n2 3\n3 4\n2 4\n5 6\n6 7\n5 7\nA 2 3\nA 6 4\nA 6 7\nA 3 3\n" ]
[ "1\n2\n", "2\n1\n5\n3\n" ]
For the second sample, an optimal routes are: From 2 to 3 it is [2, 3]. From 6 to 4 it is [6, 5, 1, 2, 4]. From 6 to 7 it is [6, 5, 7]. From 3 to 3 it is [3].
[ { "input": "3 3 3\n1\n2\n3\n1 2\n2 3\n1 3\nA 2 3\nC 1 5\nA 2 3", "output": "1\n2" }, { "input": "7 9 4\n1\n2\n3\n4\n5\n6\n7\n1 2\n2 5\n1 5\n2 3\n3 4\n2 4\n5 6\n6 7\n5 7\nA 2 3\nA 6 4\nA 6 7\nA 3 3", "output": "2\n1\n5\n3" }, { "input": "6 7 5\n4\n2\n1\n9\n7\n6\n2 1\n1 3\n2 3\n1 4\n5 1\n4...
124
0
0
506
622
Optimal Number Permutation
[ "constructive algorithms" ]
null
null
You have array *a* that contains all integers from 1 to *n* twice. You can arbitrary permute any numbers in *a*. Let number *i* be in positions *x**i*,<=*y**i* (*x**i*<=&lt;<=*y**i*) in the permuted array *a*. Let's define the value *d**i*<==<=*y**i*<=-<=*x**i* — the distance between the positions of the number *i*. P...
The only line contains integer *n* (1<=≤<=*n*<=≤<=5·105).
Print 2*n* integers — the permuted array *a* that minimizes the value of the sum *s*.
[ "2\n", "1\n" ]
[ "1 1 2 2\n", "1 1\n" ]
none
[ { "input": "2", "output": "1 1 2 2" }, { "input": "1", "output": "1 1" }, { "input": "3", "output": "1 3 1 2 2 3" }, { "input": "4", "output": "1 3 3 1 2 4 2 4" }, { "input": "10", "output": "1 3 5 7 9 9 7 5 3 1 2 4 6 8 10 8 6 4 2 10" }, { "input": "10...
795
69,222,400
3
509
794
Bank Robbery
[ "brute force", "implementation" ]
null
null
A robber has attempted to rob a bank but failed to complete his task. However, he had managed to open all the safes. Oleg the bank client loves money (who doesn't), and decides to take advantage of this failed robbery and steal some money from the safes. There are many safes arranged in a line, where the *i*-th safe f...
The first line of input contains three space-separated integers, *a*, *b* and *c* (1<=≤<=*b*<=&lt;<=*a*<=&lt;<=*c*<=≤<=109), denoting the positions of Oleg, the first security guard and the second security guard, respectively. The next line of input contains a single integer *n* (1<=≤<=*n*<=≤<=105), denoting the numbe...
Output a single integer: the maximum number of banknotes Oleg can take.
[ "5 3 7\n8\n4 7 5 5 3 6 2 8\n", "6 5 7\n5\n1 5 7 92 3\n" ]
[ "4\n", "0\n" ]
In the first example Oleg can take the banknotes in positions 4, 5, 6 (note that there are 2 banknotes at position 5). Oleg can't take the banknotes in safes 7 and 8 because he can't run into the second security guard. Similarly, Oleg cannot take the banknotes at positions 3 and 2 because he can't run into the first se...
[ { "input": "5 3 7\n8\n4 7 5 5 3 6 2 8", "output": "4" }, { "input": "6 5 7\n5\n1 5 7 92 3", "output": "0" }, { "input": "3 2 4\n1\n3", "output": "1" }, { "input": "5 3 8\n12\n8 3 4 5 7 6 8 3 5 4 7 6", "output": "8" }, { "input": "7 3 10\n5\n3 3 3 3 3", "output...
46
0
0
511
535
Tavas and Nafas
[ "brute force", "implementation" ]
null
null
Today Tavas got his test result as an integer score and he wants to share it with his girlfriend, Nafas. His phone operating system is Tavdroid, and its keyboard doesn't have any digits! He wants to share his score with Nafas via text, so he has no choice but to send this number using words. He ate coffee mix without...
The first and only line of input contains an integer *s* (0<=≤<=*s*<=≤<=99), Tavas's score.
In the first and only line of output, print a single string consisting only from English lowercase letters and hyphens ('-'). Do not use spaces.
[ "6\n", "99\n", "20\n" ]
[ "six\n", "ninety-nine\n", "twenty\n" ]
You can find all you need to know about English numerals in [http://en.wikipedia.org/wiki/English_numerals](https://en.wikipedia.org/wiki/English_numerals) .
[ { "input": "6", "output": "six" }, { "input": "99", "output": "ninety-nine" }, { "input": "20", "output": "twenty" }, { "input": "10", "output": "ten" }, { "input": "15", "output": "fifteen" }, { "input": "27", "output": "twenty-seven" }, { ...
124
0
0
513
116
Tram
[ "implementation" ]
null
null
Linear Kingdom has exactly one tram line. It has *n* stops, numbered from 1 to *n* in the order of tram's movement. At the *i*-th stop *a**i* passengers exit the tram, while *b**i* passengers enter it. The tram is empty before it arrives at the first stop. Also, when the tram arrives at the last stop, all passengers ex...
The first line contains a single number *n* (2<=≤<=*n*<=≤<=1000) — the number of the tram's stops. Then *n* lines follow, each contains two integers *a**i* and *b**i* (0<=≤<=*a**i*,<=*b**i*<=≤<=1000) — the number of passengers that exits the tram at the *i*-th stop, and the number of passengers that enter the tram at...
Print a single integer denoting the minimum possible capacity of the tram (0 is allowed).
[ "4\n0 3\n2 5\n4 2\n4 0\n" ]
[ "6\n" ]
For the first example, a capacity of 6 is sufficient: - At the first stop, the number of passengers inside the tram before arriving is 0. Then, 3 passengers enter the tram, and the number of passengers inside the tram becomes 3. - At the second stop, 2 passengers exit the tram (1 passenger remains inside). Then, 5 ...
[ { "input": "4\n0 3\n2 5\n4 2\n4 0", "output": "6" }, { "input": "5\n0 4\n4 6\n6 5\n5 4\n4 0", "output": "6" }, { "input": "10\n0 5\n1 7\n10 8\n5 3\n0 5\n3 3\n8 8\n0 6\n10 1\n9 0", "output": "18" }, { "input": "3\n0 1\n1 1\n1 0", "output": "1" }, { "input": "4\n0 1...
92
0
3
516
1,006
Adjacent Replacements
[ "implementation" ]
null
null
Mishka got an integer array $a$ of length $n$ as a birthday present (what a surprise!). Mishka doesn't like this present and wants to change it somehow. He has invented an algorithm and called it "Mishka's Adjacent Replacements Algorithm". This algorithm can be represented as a sequence of steps: - Replace each occu...
The first line of the input contains one integer number $n$ ($1 \le n \le 1000$) — the number of elements in Mishka's birthday present (surprisingly, an array). The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the elements of the array.
Print $n$ integers — $b_1, b_2, \dots, b_n$, where $b_i$ is the final value of the $i$-th element of the array after applying "Mishka's Adjacent Replacements Algorithm" to the array $a$. Note that you cannot change the order of elements in the array.
[ "5\n1 2 4 5 10\n", "10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000\n" ]
[ "1 1 3 5 9\n", "9999 9 50605065 1 5 89 5 999999999 60506055 999999999\n" ]
The first example is described in the problem statement.
[ { "input": "5\n1 2 4 5 10", "output": "1 1 3 5 9" }, { "input": "10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000", "output": "9999 9 50605065 1 5 89 5 999999999 60506055 999999999" }, { "input": "1\n999999999", "output": "999999999" }, { "input": "1\n1000000000",...
109
307,200
3
517
723
The New Year: Meeting Friends
[ "implementation", "math", "sortings" ]
null
null
There are three friend living on the straight line *Ox* in Lineland. The first friend lives at the point *x*1, the second friend lives at the point *x*2, and the third friend lives at the point *x*3. They plan to celebrate the New Year together, so they need to meet at one point. What is the minimum total distance they...
The first line of the input contains three distinct integers *x*1, *x*2 and *x*3 (1<=≤<=*x*1,<=*x*2,<=*x*3<=≤<=100) — the coordinates of the houses of the first, the second and the third friends respectively.
Print one integer — the minimum total distance the friends need to travel in order to meet together.
[ "7 1 4\n", "30 20 10\n" ]
[ "6\n", "20\n" ]
In the first sample, friends should meet at the point 4. Thus, the first friend has to travel the distance of 3 (from the point 7 to the point 4), the second friend also has to travel the distance of 3 (from the point 1 to the point 4), while the third friend should not go anywhere because he lives at the point 4.
[ { "input": "7 1 4", "output": "6" }, { "input": "30 20 10", "output": "20" }, { "input": "1 4 100", "output": "99" }, { "input": "100 1 91", "output": "99" }, { "input": "1 45 100", "output": "99" }, { "input": "1 2 3", "output": "2" }, { "...
31
0
0
518
383
Antimatter
[ "dp" ]
null
null
Iahub accidentally discovered a secret lab. He found there *n* devices ordered in a line, numbered from 1 to *n* from left to right. Each device *i* (1<=≤<=*i*<=≤<=*n*) can create either *a**i* units of matter or *a**i* units of antimatter. Iahub wants to choose some contiguous subarray of devices in the lab, specify...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=1000). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=1000). The sum *a*1<=+<=*a*2<=+<=...<=+<=*a**n* will be less than or equal to 10000.
Output a single integer, the number of ways Iahub can take a photo, modulo 1000000007 (109<=+<=7).
[ "4\n1 1 1 1\n" ]
[ "12\n" ]
The possible photos are [1+, 2-], [1-, 2+], [2+, 3-], [2-, 3+], [3+, 4-], [3-, 4+], [1+, 2+, 3-, 4-], [1+, 2-, 3+, 4-], [1+, 2-, 3-, 4+], [1-, 2+, 3+, 4-], [1-, 2+, 3-, 4+] and [1-, 2-, 3+, 4+], where "*i*+" means that the *i*-th element produces matter, and "*i*-" means that the *i*-th element produces antimatter.
[ { "input": "4\n1 1 1 1", "output": "12" }, { "input": "10\n16 9 9 11 10 12 9 6 10 8", "output": "86" }, { "input": "50\n2 1 5 2 1 3 1 2 3 2 1 1 5 2 2 2 3 2 1 2 2 2 3 3 1 3 1 1 2 2 2 2 1 2 3 1 2 4 1 1 1 3 2 1 1 1 3 2 1 3", "output": "115119382" }, { "input": "100\n8 3 3 7 3 6 ...
30
0
0
519
478
Random Teams
[ "combinatorics", "constructive algorithms", "greedy", "math" ]
null
null
*n* participants of the competition were split into *m* teams in some manner so that each team has at least one participant. After the competition each pair of participants from the same team became friends. Your task is to write a program that will find the minimum and the maximum number of pairs of friends that coul...
The only line of input contains two integers *n* and *m*, separated by a single space (1<=≤<=*m*<=≤<=*n*<=≤<=109) — the number of participants and the number of teams respectively.
The only line of the output should contain two integers *k**min* and *k**max* — the minimum possible number of pairs of friends and the maximum possible number of pairs of friends respectively.
[ "5 1\n", "3 2\n", "6 3\n" ]
[ "10 10\n", "1 1\n", "3 6\n" ]
In the first sample all the participants get into one team, so there will be exactly ten pairs of friends. In the second sample at any possible arrangement one team will always have two participants and the other team will always have one participant. Thus, the number of pairs of friends will always be equal to one. ...
[ { "input": "5 1", "output": "10 10" }, { "input": "3 2", "output": "1 1" }, { "input": "6 3", "output": "3 6" }, { "input": "5 3", "output": "2 3" }, { "input": "10 2", "output": "20 36" }, { "input": "10 6", "output": "4 10" }, { "input": ...
1,000
1,331,200
0
520
43
Lucky Tickets
[ "greedy" ]
C. Lucky Tickets
2
256
Vasya thinks that lucky tickets are the tickets whose numbers are divisible by 3. He gathered quite a large collection of such tickets but one day his younger brother Leonid was having a sulk and decided to destroy the collection. First he tore every ticket exactly in two, but he didn’t think it was enough and Leonid a...
The first line contains integer *n* (1<=≤<=*n*<=≤<=104) — the number of pieces. The second line contains *n* space-separated numbers *a**i* (1<=≤<=*a**i*<=≤<=108) — the numbers on the pieces. Vasya can only glue the pieces in pairs. Even if the number of a piece is already lucky, Vasya should glue the piece with some o...
Print the single number — the maximum number of lucky tickets that will be able to be restored. Don't forget that every lucky ticket is made of exactly two pieces glued together.
[ "3\n123 123 99\n", "6\n1 1 1 23 10 3\n" ]
[ "1\n", "1\n" ]
none
[ { "input": "3\n123 123 99", "output": "1" }, { "input": "6\n1 1 1 23 10 3", "output": "1" }, { "input": "3\n43440907 58238452 82582355", "output": "1" }, { "input": "4\n31450303 81222872 67526764 17516401", "output": "1" }, { "input": "5\n83280 20492640 21552119 7...
124
2,969,600
3.963469
521
551
GukiZ and Contest
[ "brute force", "implementation", "sortings" ]
null
null
Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, *n* students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to *n*. Let's denote...
The first line contains integer *n* (1<=≤<=*n*<=≤<=2000), number of GukiZ's students. The second line contains *n* numbers *a*1,<=*a*2,<=... *a**n* (1<=≤<=*a**i*<=≤<=2000) where *a**i* is the rating of *i*-th student (1<=≤<=*i*<=≤<=*n*).
In a single line, print the position after the end of the contest for each of *n* students in the same order as they appear in the input.
[ "3\n1 3 3\n", "1\n1\n", "5\n3 5 3 4 5\n" ]
[ "3 1 1\n", "1\n", "4 1 4 3 1\n" ]
In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first positi...
[ { "input": "3\n1 3 3", "output": "3 1 1" }, { "input": "1\n1", "output": "1" }, { "input": "5\n3 5 3 4 5", "output": "4 1 4 3 1" }, { "input": "7\n1 3 5 4 2 2 1", "output": "6 3 1 2 4 4 6" }, { "input": "11\n5 6 4 2 9 7 6 6 6 6 7", "output": "9 4 10 11 1 2 4 4...
171
512,000
3
522
253
Boys and Girls
[ "greedy" ]
null
null
There are *n* boys and *m* girls studying in the class. They should stand in a line so that boys and girls alternated there as much as possible. Let's assume that positions in the line are indexed from left to right by numbers from 1 to *n*<=+<=*m*. Then the number of integers *i* (1<=≤<=*i*<=&lt;<=*n*<=+<=*m*) such th...
The single line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100), separated by a space.
Print a line of *n*<=+<=*m* characters. Print on the *i*-th position of the line character "B", if the *i*-th position of your arrangement should have a boy and "G", if it should have a girl. Of course, the number of characters "B" should equal *n* and the number of characters "G" should equal *m*. If there are multi...
[ "3 3\n", "4 2\n" ]
[ "GBGBGB\n", "BGBGBB\n" ]
In the first sample another possible answer is BGBGBG. In the second sample answer BBGBGB is also optimal.
[ { "input": "3 3", "output": "GBGBGB" }, { "input": "4 2", "output": "BGBGBB" }, { "input": "5 5", "output": "GBGBGBGBGB" }, { "input": "6 4", "output": "BGBGBGBGBB" }, { "input": "100 1", "output": "BGBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
92
307,200
-1
523
911
Mass Change Queries
[ "data structures" ]
null
null
You are given an array *a* consisting of *n* integers. You have to process *q* queries to this array; each query is given as four numbers *l*, *r*, *x* and *y*, denoting that for every *i* such that *l*<=≤<=*i*<=≤<=*r* and *a**i*<==<=*x* you have to set *a**i* equal to *y*. Print the array after all queries are proces...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=200000) — the size of array *a*. The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=100) — the elements of array *a*. The third line contains one integer *q* (1<=≤<=*q*<=≤<=200000) — the number of queries you have to process. Then *q...
Print *n* integers — elements of array *a* after all changes are made.
[ "5\n1 2 3 4 5\n3\n3 5 3 5\n1 5 5 1\n1 5 1 5\n" ]
[ "5 2 5 4 5 " ]
none
[ { "input": "5\n1 2 3 4 5\n3\n3 5 3 5\n1 5 5 1\n1 5 1 5", "output": "5 2 5 4 5 " }, { "input": "5\n1 2 3 4 5\n1\n1 1 1 1", "output": "1 2 3 4 5 " }, { "input": "1\n1\n1\n1 1 1 1", "output": "1 " }, { "input": "1\n2\n5\n1 1 5 6\n1 1 8 4\n1 1 5 8\n1 1 7 1\n1 1 6 3", "output"...
31
5,529,600
0
525
939
Love Triangle
[ "graphs" ]
null
null
As you could know there are no male planes nor female planes. However, each plane on Earth likes some other plane. There are *n* planes on Earth, numbered from 1 to *n*, and the plane with number *i* likes the plane with number *f**i*, where 1<=≤<=*f**i*<=≤<=*n* and *f**i*<=≠<=*i*. We call a love triangle a situation ...
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=5000) — the number of planes. The second line contains *n* integers *f*1,<=*f*2,<=...,<=*f**n* (1<=≤<=*f**i*<=≤<=*n*, *f**i*<=≠<=*i*), meaning that the *i*-th plane likes the *f**i*-th.
Output «YES» if there is a love triangle consisting of planes on Earth. Otherwise, output «NO». You can output any letter in lower case or in upper case.
[ "5\n2 4 5 1 3\n", "5\n5 5 5 5 1\n" ]
[ "YES\n", "NO\n" ]
In first example plane 2 likes plane 4, plane 4 likes plane 1, plane 1 likes plane 2 and that is a love triangle. In second example there are no love triangles.
[ { "input": "5\n2 4 5 1 3", "output": "YES" }, { "input": "5\n5 5 5 5 1", "output": "NO" }, { "input": "3\n3 1 2", "output": "YES" }, { "input": "10\n4 10 9 5 3 1 5 10 6 4", "output": "NO" }, { "input": "10\n5 5 4 9 10 9 9 5 3 1", "output": "YES" }, { "...
62
409,600
3
526
95
Lucky Numbers
[ "dp", "greedy" ]
B. Lucky Numbers
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<=≤<=*n*<=≤<=10100000). This number doesn't have leading zeroes.
Output the least super lucky number that is more than or equal to *n*.
[ "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", ...
124
0
0
527
909
Generate Login
[ "brute force", "greedy", "sortings" ]
null
null
The preferred way to generate user login in Polygon is to concatenate a prefix of the user's first name and a prefix of their last name, in that order. Each prefix must be non-empty, and any of the prefixes can be the full name. Typically there are multiple possible logins for each person. You are given the first and ...
The input consists of a single line containing two space-separated strings: the first and the last names. Each character of each string is a lowercase English letter. The length of each string is between 1 and 10, inclusive.
Output a single string — alphabetically earliest possible login formed from these names. The output should be given in lowercase as well.
[ "harry potter\n", "tom riddle\n" ]
[ "hap\n", "tomr\n" ]
none
[ { "input": "harry potter", "output": "hap" }, { "input": "tom riddle", "output": "tomr" }, { "input": "a qdpinbmcrf", "output": "aq" }, { "input": "wixjzniiub ssdfodfgap", "output": "wis" }, { "input": "z z", "output": "zz" }, { "input": "ertuyivhfg v"...
77
17,715,200
3
529
709
Juicer
[ "implementation" ]
null
null
Kolya is going to make fresh orange juice. He has *n* oranges of sizes *a*1,<=*a*2,<=...,<=*a**n*. Kolya will put them in the juicer in the fixed order, starting with orange of size *a*1, then orange of size *a*2 and so on. To be put in the juicer the orange must have size not exceeding *b*, so if Kolya sees an orange ...
The first line of the input contains three integers *n*, *b* and *d* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*b*<=≤<=*d*<=≤<=1<=000<=000) — the number of oranges, the maximum size of the orange that fits in the juicer and the value *d*, which determines the condition when the waste section should be emptied. The second line co...
Print one integer — the number of times Kolya will have to empty the waste section.
[ "2 7 10\n5 6\n", "1 5 10\n7\n", "3 10 10\n5 7 7\n", "1 1 1\n1\n" ]
[ "1\n", "0\n", "1\n", "0\n" ]
In the first sample, Kolya will squeeze the juice from two oranges and empty the waste section afterwards. In the second sample, the orange won't fit in the juicer so Kolya will have no juice at all.
[ { "input": "2 7 10\n5 6", "output": "1" }, { "input": "1 5 10\n7", "output": "0" }, { "input": "3 10 10\n5 7 7", "output": "1" }, { "input": "1 1 1\n1", "output": "0" }, { "input": "2 951637 951638\n44069 951637", "output": "1" }, { "input": "50 100 12...
93
13,619,200
3
531
876
Trip For Meal
[ "math" ]
null
null
Winnie-the-Pooh likes honey very much! That is why he decided to visit his friends. Winnie has got three best friends: Rabbit, Owl and Eeyore, each of them lives in his own house. There are winding paths between each pair of houses. The length of a path between Rabbit's and Owl's houses is *a* meters, between Rabbit's ...
First line contains an integer *n* (1<=≤<=*n*<=≤<=100) — number of visits. Second line contains an integer *a* (1<=≤<=*a*<=≤<=100) — distance between Rabbit's and Owl's houses. Third line contains an integer *b* (1<=≤<=*b*<=≤<=100) — distance between Rabbit's and Eeyore's houses. Fourth line contains an integer *c* ...
Output one number — minimum distance in meters Winnie must go through to have a meal *n* times.
[ "3\n2\n3\n1\n", "1\n2\n3\n5\n" ]
[ "3\n", "0\n" ]
In the first test case the optimal path for Winnie is the following: first have a meal in Rabbit's house, then in Owl's house, then in Eeyore's house. Thus he will pass the distance 2 + 1 = 3. In the second test case Winnie has a meal in Rabbit's house and that is for him. So he doesn't have to walk anywhere at all.
[ { "input": "3\n2\n3\n1", "output": "3" }, { "input": "1\n2\n3\n5", "output": "0" }, { "input": "10\n1\n8\n3", "output": "9" }, { "input": "7\n10\n5\n6", "output": "30" }, { "input": "9\n9\n7\n5", "output": "42" }, { "input": "9\n37\n85\n76", "outpu...
61
5,529,600
-1
533
329
Biridian Forest
[ "dfs and similar", "shortest paths" ]
null
null
You're a mikemon breeder currently in the middle of your journey to become a mikemon master. Your current obstacle is go through the infamous Biridian Forest. The forest The Biridian Forest is a two-dimensional grid consisting of *r* rows and *c* columns. Each cell in Biridian Forest may contain a tree, or may be vac...
The first line consists of two integers: *r* and *c* (1<=≤<=*r*,<=*c*<=≤<=1000), denoting the number of rows and the number of columns in Biridian Forest. The next *r* rows will each depict a row of the map, where each character represents the content of a single cell: - 'T': A cell occupied by a tree. - 'S': An em...
A single line denoted the minimum possible number of mikemon battles that you have to participate in if you pick a strategy that minimize this number.
[ "5 7\n000E0T3\nT0TT0T0\n010T0T0\n2T0T0T0\n0T0S000\n", "1 4\nSE23\n" ]
[ "3\n", "2\n" ]
The following picture illustrates the first example. The blue line denotes a possible sequence of moves that you should post in your blog: The three breeders on the left side of the map will be able to battle you — the lone breeder can simply stay in his place until you come while the other two breeders can move to wh...
[ { "input": "5 7\n000E0T3\nT0TT0T0\n010T0T0\n2T0T0T0\n0T0S000", "output": "3" }, { "input": "1 4\nSE23", "output": "2" }, { "input": "3 3\n000\nS0E\n000", "output": "0" }, { "input": "5 5\nS9999\nTTTT9\n99999\n9TTTT\n9999E", "output": "135" }, { "input": "1 10\n9T9...
186
2,867,200
-1
534
222
Shooshuns and Sequence
[ "brute force", "implementation" ]
null
null
One day shooshuns found a sequence of *n* integers, written on a blackboard. The shooshuns can perform one operation with it, the operation consists of two steps: 1. Find the number that goes *k*-th in the current sequence and add the same number to the end of the sequence; 1. Delete the first number of the current ...
The first line contains two space-separated integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=105). The second line contains *n* space-separated integers: *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105) — the sequence that the shooshuns found.
Print the minimum number of operations, required for all numbers on the blackboard to become the same. If it is impossible to achieve, print -1.
[ "3 2\n3 1 1\n", "3 1\n3 1 1\n" ]
[ "1\n", "-1\n" ]
In the first test case after the first operation the blackboard will have sequence [1, 1, 1]. So, one operation is enough to make all numbers the same. Thus, the answer equals one. In the second test case the sequence will never consist of the same numbers. It will always contain at least two distinct numbers 3 and 1....
[ { "input": "3 2\n3 1 1", "output": "1" }, { "input": "3 1\n3 1 1", "output": "-1" }, { "input": "1 1\n1", "output": "0" }, { "input": "2 1\n1 1", "output": "0" }, { "input": "2 1\n2 1", "output": "-1" }, { "input": "4 4\n1 2 3 4", "output": "3" }...
184
7,372,800
3
535
803
Distances to Zero
[ "constructive algorithms" ]
null
null
You are given the array of integer numbers *a*0,<=*a*1,<=...,<=*a**n*<=-<=1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
The first line contains integer *n* (1<=≤<=*n*<=≤<=2·105) — length of the array *a*. The second line contains integer elements of the array separated by single spaces (<=-<=109<=≤<=*a**i*<=≤<=109).
Print the sequence *d*0,<=*d*1,<=...,<=*d**n*<=-<=1, where *d**i* is the difference of indices between *i* and nearest *j* such that *a**j*<==<=0. It is possible that *i*<==<=*j*.
[ "9\n2 1 0 3 0 0 3 2 4\n", "5\n0 1 2 3 4\n", "7\n5 6 0 1 -2 3 4\n" ]
[ "2 1 0 1 0 0 1 2 3 ", "0 1 2 3 4 ", "2 1 0 1 2 3 4 " ]
none
[ { "input": "9\n2 1 0 3 0 0 3 2 4", "output": "2 1 0 1 0 0 1 2 3 " }, { "input": "5\n0 1 2 3 4", "output": "0 1 2 3 4 " }, { "input": "7\n5 6 0 1 -2 3 4", "output": "2 1 0 1 2 3 4 " }, { "input": "1\n0", "output": "0 " }, { "input": "2\n0 0", "output": "0 0 " ...
61
5,529,600
0
537