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315
Sereja and Bottles
[ "brute force" ]
null
null
Sereja and his friends went to a picnic. The guys had *n* soda bottles just for it. Sereja forgot the bottle opener as usual, so the guys had to come up with another way to open bottles. Sereja knows that the *i*-th bottle is from brand *a**i*, besides, you can use it to open other bottles of brand *b**i*. You can use...
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of bottles. The next *n* lines contain the bottles' description. The *i*-th line contains two integers *a**i*,<=*b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=1000) — the description of the *i*-th bottle.
In a single line print a single integer — the answer to the problem.
[ "4\n1 1\n2 2\n3 3\n4 4\n", "4\n1 2\n2 3\n3 4\n4 1\n" ]
[ "4\n", "0\n" ]
none
[ { "input": "4\n1 1\n2 2\n3 3\n4 4", "output": "4" }, { "input": "4\n1 2\n2 3\n3 4\n4 1", "output": "0" }, { "input": "3\n2 828\n4 392\n4 903", "output": "3" }, { "input": "4\n2 3\n1 772\n3 870\n3 668", "output": "2" }, { "input": "5\n1 4\n6 6\n4 3\n3 4\n4 758", ...
154
3,379,200
-1
0
233
Perfect Permutation
[ "implementation", "math" ]
null
null
A permutation is a sequence of integers *p*1,<=*p*2,<=...,<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. Let's denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size of permutation *p*1,<=*p*2,<=...,<=*p**n*. Nickolas adores permutations. He lik...
A single line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the permutation size.
If a perfect permutation of size *n* doesn't exist, print a single integer -1. Otherwise print *n* distinct integers from 1 to *n*, *p*1,<=*p*2,<=...,<=*p**n* — permutation *p*, that is perfect. Separate printed numbers by whitespaces.
[ "1\n", "2\n", "4\n" ]
[ "-1\n", "2 1 \n", "2 1 4 3 \n" ]
none
[ { "input": "1", "output": "-1" }, { "input": "2", "output": "2 1 " }, { "input": "4", "output": "2 1 4 3 " }, { "input": "3", "output": "-1" }, { "input": "5", "output": "-1" }, { "input": "6", "output": "2 1 4 3 6 5 " }, { "input": "7", ...
92
0
-1
1
34
Reconnaissance 2
[ "implementation" ]
A. Reconnaissance 2
2
256
*n* soldiers stand in a circle. For each soldier his height *a**i* is known. A reconnaissance unit can be made of such two neighbouring soldiers, whose heights difference is minimal, i.e. |*a**i*<=-<=*a**j*| is minimal. So each of them will be less noticeable with the other. Output any pair of soldiers that can form a ...
The first line contains integer *n* (2<=≤<=*n*<=≤<=100) — amount of soldiers. Then follow the heights of the soldiers in their order in the circle — *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000). The soldier heights are given in clockwise or counterclockwise direction.
Output two integers — indexes of neighbouring soldiers, who should form a reconnaissance unit. If there are many optimum solutions, output any of them. Remember, that the soldiers stand in a circle.
[ "5\n10 12 13 15 10\n", "4\n10 20 30 40\n" ]
[ "5 1\n", "1 2\n" ]
none
[ { "input": "5\n10 12 13 15 10", "output": "5 1" }, { "input": "4\n10 20 30 40", "output": "1 2" }, { "input": "6\n744 359 230 586 944 442", "output": "2 3" }, { "input": "5\n826 747 849 687 437", "output": "1 2" }, { "input": "5\n999 999 993 969 999", "output"...
218
307,200
3.944928
2
707
Brain's Photos
[ "implementation" ]
null
null
Small, but very brave, mouse Brain was not accepted to summer school of young villains. He was upset and decided to postpone his plans of taking over the world, but to become a photographer instead. As you may know, the coolest photos are on the film (because you can specify the hashtag #film for such). Brain took a ...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of photo pixel matrix rows and columns respectively. Then *n* lines describing matrix rows follow. Each of them contains *m* space-separated characters describing colors of pixels in a row. Each character in the line i...
Print the "#Black&amp;White" (without quotes), if the photo is black-and-white and "#Color" (without quotes), if it is colored, in the only line.
[ "2 2\nC M\nY Y\n", "3 2\nW W\nW W\nB B\n", "1 1\nW\n" ]
[ "#Color", "#Black&amp;White", "#Black&amp;White" ]
none
[ { "input": "2 2\nC M\nY Y", "output": "#Color" }, { "input": "3 2\nW W\nW W\nB B", "output": "#Black&White" }, { "input": "1 1\nW", "output": "#Black&White" }, { "input": "2 3\nW W W\nB G Y", "output": "#Color" }, { "input": "1 1\nW", "output": "#Black&White" ...
31
0
0
3
507
Amr and Music
[ "greedy", "implementation", "sortings" ]
null
null
Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea. Amr has *n* instruments, it takes *a**i* days to learn *i*-th instrument. Being busy, Amr dedicated *k* days to learn how to play the maximum possible number of instruments. Amr asked for ...
The first line contains two numbers *n*, *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=10<=000), the number of instruments and number of days respectively. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100), representing number of days required to learn the *i*-th instrument.
In the first line output one integer *m* representing the maximum number of instruments Amr can learn. In the second line output *m* space-separated integers: the indices of instruments to be learnt. You may output indices in any order. if there are multiple optimal solutions output any. It is not necessary to use al...
[ "4 10\n4 3 1 2\n", "5 6\n4 3 1 1 2\n", "1 3\n4\n" ]
[ "4\n1 2 3 4", "3\n1 3 4", "0\n" ]
In the first test Amr can learn all 4 instruments. In the second test other possible solutions are: {2, 3, 5} or {3, 4, 5}. In the third test Amr doesn't have enough time to learn the only presented instrument.
[ { "input": "4 10\n4 3 1 2", "output": "4\n1 2 3 4" }, { "input": "5 6\n4 3 1 1 2", "output": "3\n3 4 5" }, { "input": "1 3\n4", "output": "0" }, { "input": "2 100\n100 100", "output": "1\n1" }, { "input": "3 150\n50 50 50", "output": "3\n1 2 3" }, { "i...
109
0
3
4
41
Translation
[ "implementation", "strings" ]
A. Translation
2
256
The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc....
The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols.
If the word *t* is a word *s*, written reversely, print YES, otherwise print NO.
[ "code\nedoc\n", "abb\naba\n", "code\ncode\n" ]
[ "YES\n", "NO\n", "NO\n" ]
none
[ { "input": "code\nedoc", "output": "YES" }, { "input": "abb\naba", "output": "NO" }, { "input": "code\ncode", "output": "NO" }, { "input": "abacaba\nabacaba", "output": "YES" }, { "input": "q\nq", "output": "YES" }, { "input": "asrgdfngfnmfgnhweratgjkk...
154
0
3.9615
5
732
Buy a Shovel
[ "brute force", "constructive algorithms", "implementation", "math" ]
null
null
Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop. In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<...
The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins". Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has e...
Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change.
[ "117 3\n", "237 7\n", "15 2\n" ]
[ "9\n", "1\n", "2\n" ]
In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change. In the second example it is enough for Polycarp to buy one shovel. In the third example Polycarp should buy two shovels ...
[ { "input": "117 3", "output": "9" }, { "input": "237 7", "output": "1" }, { "input": "15 2", "output": "2" }, { "input": "1 1", "output": "1" }, { "input": "1 9", "output": "9" }, { "input": "1000 3", "output": "1" }, { "input": "1000 1", ...
46
0
0
6
334
Candy Bags
[ "implementation" ]
null
null
Gerald has *n* younger brothers and their number happens to be even. One day he bought *n*2 candy bags. One bag has one candy, one bag has two candies, one bag has three candies and so on. In fact, for each integer *k* from 1 to *n*2 he has exactly one bag with *k* candies. Help him give *n* bags of candies to each b...
The single line contains a single integer *n* (*n* is even, 2<=≤<=*n*<=≤<=100) — the number of Gerald's brothers.
Let's assume that Gerald indexes his brothers with numbers from 1 to *n*. You need to print *n* lines, on the *i*-th line print *n* integers — the numbers of candies in the bags for the *i*-th brother. Naturally, all these numbers should be distinct and be within limits from 1 to *n*2. You can print the numbers in the ...
[ "2\n" ]
[ "1 4\n2 3\n" ]
The sample shows Gerald's actions if he has two brothers. In this case, his bags contain 1, 2, 3 and 4 candies. He can give the bags with 1 and 4 candies to one brother and the bags with 2 and 3 to the other brother.
[ { "input": "2", "output": "1 4\n2 3" }, { "input": "4", "output": "1 16 2 15\n3 14 4 13\n5 12 6 11\n7 10 8 9" }, { "input": "6", "output": "1 36 2 35 3 34\n4 33 5 32 6 31\n7 30 8 29 9 28\n10 27 11 26 12 25\n13 24 14 23 15 22\n16 21 17 20 18 19" }, { "input": "8", "output"...
156
307,200
3
7
862
Mahmoud and Ehab and the MEX
[ "greedy", "implementation" ]
null
null
Dr. Evil kidnapped Mahmoud and Ehab in the evil land because of their performance in the Evil Olympiad in Informatics (EOI). He decided to give them some problems to let them go. Dr. Evil is interested in sets, He has a set of *n* integers. Dr. Evil calls a set of integers evil if the MEX of it is exactly *x*. the MEX...
The first line contains two integers *n* and *x* (1<=≤<=*n*<=≤<=100, 0<=≤<=*x*<=≤<=100) — the size of the set Dr. Evil owns, and the desired MEX. The second line contains *n* distinct non-negative integers not exceeding 100 that represent the set.
The only line should contain one integer — the minimal number of operations Dr. Evil should perform.
[ "5 3\n0 4 5 6 7\n", "1 0\n0\n", "5 0\n1 2 3 4 5\n" ]
[ "2\n", "1\n", "0\n" ]
For the first test case Dr. Evil should add 1 and 2 to the set performing 2 operations. For the second test case Dr. Evil should erase 0 from the set. After that, the set becomes empty, so the MEX of it is 0. In the third test case the set is already evil.
[ { "input": "5 3\n0 4 5 6 7", "output": "2" }, { "input": "1 0\n0", "output": "1" }, { "input": "5 0\n1 2 3 4 5", "output": "0" }, { "input": "10 5\n57 1 47 9 93 37 76 70 78 15", "output": "4" }, { "input": "10 5\n99 98 93 97 95 100 92 94 91 96", "output": "5" ...
109
0
3
8
424
Squats
[ "implementation" ]
null
null
Pasha has many hamsters and he makes them work out. Today, *n* hamsters (*n* is even) came to work out. The hamsters lined up and each hamster either sat down or stood up. For another exercise, Pasha needs exactly hamsters to stand up and the other hamsters to sit down. In one minute, Pasha can make some hamster ethe...
The first line contains integer *n* (2<=≤<=*n*<=≤<=200; *n* is even). The next line contains *n* characters without spaces. These characters describe the hamsters' position: the *i*-th character equals 'X', if the *i*-th hamster in the row is standing, and 'x', if he is sitting.
In the first line, print a single integer — the minimum required number of minutes. In the second line, print a string that describes the hamsters' position after Pasha makes the required changes. If there are multiple optimal positions, print any of them.
[ "4\nxxXx\n", "2\nXX\n", "6\nxXXxXx\n" ]
[ "1\nXxXx\n", "1\nxX\n", "0\nxXXxXx\n" ]
none
[ { "input": "4\nxxXx", "output": "1\nXxXx" }, { "input": "2\nXX", "output": "1\nxX" }, { "input": "6\nxXXxXx", "output": "0\nxXXxXx" }, { "input": "4\nxXXX", "output": "1\nxxXX" }, { "input": "2\nXx", "output": "0\nXx" }, { "input": "22\nXXxXXxxXxXxXXXX...
62
0
0
9
630
Moore's Law
[ "math" ]
null
null
The city administration of IT City decided to fix up a symbol of scientific and technical progress in the city's main square, namely an indicator board that shows the effect of Moore's law in real time. Moore's law is the observation that the number of transistors in a dense integrated circuit doubles approximately ev...
The only line of the input contains a pair of integers *n* (1000<=≤<=*n*<=≤<=10 000) and *t* (0<=≤<=*t*<=≤<=2 000 000 000) — the number of transistors in the initial time and the number of seconds passed since the initial time.
Output one number — the estimate of the number of transistors in a dence integrated circuit in *t* seconds since the initial time. The relative error of your answer should not be greater than 10<=-<=6.
[ "1000 1000000\n" ]
[ "1011.060722383550382782399454922040\n" ]
none
[ { "input": "1000 1000000", "output": "1011.060722383550382782399454922040" }, { "input": "1000 0", "output": "1000" }, { "input": "1000 1", "output": "1000.000011000" }, { "input": "1000 2", "output": "1000.000022000000121000" }, { "input": "10000 3", "output"...
46
0
3
10
257
Sockets
[ "greedy", "implementation", "sortings" ]
null
null
Vasya has got many devices that work on electricity. He's got *n* supply-line filters to plug the devices, the *i*-th supply-line filter has *a**i* sockets. Overall Vasya has got *m* devices and *k* electrical sockets in his flat, he can plug the devices or supply-line filters directly. Of course, he can plug the supp...
The first line contains three integers *n*, *m*, *k* (1<=≤<=*n*,<=*m*,<=*k*<=≤<=50) — the number of supply-line filters, the number of devices and the number of sockets that he can plug to directly, correspondingly. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=50) —...
Print a single number — the minimum number of supply-line filters that is needed to plug all the devices to electricity. If it is impossible to plug all the devices even using all the supply-line filters, print -1.
[ "3 5 3\n3 1 2\n", "4 7 2\n3 3 2 4\n", "5 5 1\n1 3 1 2 1\n" ]
[ "1\n", "2\n", "-1\n" ]
In the first test case he can plug the first supply-line filter directly to electricity. After he plug it, he get 5 (3 on the supply-line filter and 2 remaining sockets for direct plugging) available sockets to plug. Thus, one filter is enough to plug 5 devices. One of the optimal ways in the second test sample is to ...
[ { "input": "3 5 3\n3 1 2", "output": "1" }, { "input": "4 7 2\n3 3 2 4", "output": "2" }, { "input": "5 5 1\n1 3 1 2 1", "output": "-1" }, { "input": "4 5 8\n3 2 4 3", "output": "0" }, { "input": "5 10 1\n4 3 4 2 4", "output": "3" }, { "input": "7 13 2...
280
20,172,800
0
11
409
A + B Strikes Back
[ "*special", "brute force", "constructive algorithms", "dsu", "implementation" ]
null
null
A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try?
The input contains two integers *a* and *b* (0<=≤<=*a*,<=*b*<=≤<=103), separated by a single space.
Output the sum of the given integers.
[ "5 14\n", "381 492\n" ]
[ "19\n", "873\n" ]
none
[ { "input": "5 14", "output": "19" }, { "input": "381 492", "output": "873" }, { "input": "536 298", "output": "834" }, { "input": "143 522", "output": "665" }, { "input": "433 126", "output": "559" }, { "input": "723 350", "output": "1073" }, {...
0
0
0
12
268
Games
[ "brute force" ]
null
null
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as ...
The first line contains an integer *n* (2<=≤<=*n*<=≤<=30). Each of the following *n* lines contains a pair of distinct space-separated integers *h**i*, *a**i* (1<=≤<=*h**i*,<=*a**i*<=≤<=100) — the colors of the *i*-th team's home and guest uniforms, respectively.
In a single line print the number of games where the host team is going to play in the guest uniform.
[ "3\n1 2\n2 4\n3 4\n", "4\n100 42\n42 100\n5 42\n100 5\n", "2\n1 2\n1 2\n" ]
[ "1\n", "5\n", "0\n" ]
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2. In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host tea...
[ { "input": "3\n1 2\n2 4\n3 4", "output": "1" }, { "input": "4\n100 42\n42 100\n5 42\n100 5", "output": "5" }, { "input": "2\n1 2\n1 2", "output": "0" }, { "input": "7\n4 7\n52 55\n16 4\n55 4\n20 99\n3 4\n7 52", "output": "6" }, { "input": "10\n68 42\n1 35\n25 70\n...
216
0
3
13
368
Sereja and Suffixes
[ "data structures", "dp" ]
null
null
Sereja has an array *a*, consisting of *n* integers *a*1, *a*2, ..., *a**n*. The boy cannot sit and do nothing, he decided to study an array. Sereja took a piece of paper and wrote out *m* integers *l*1,<=*l*2,<=...,<=*l**m* (1<=≤<=*l**i*<=≤<=*n*). For each number *l**i* he wants to know how many distinct numbers are s...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105) — the array elements. Next *m* lines contain integers *l*1,<=*l*2,<=...,<=*l**m*. The *i*-th line contains integer *l**i* (1<=≤<=*l**i*<=≤<=*n*).
Print *m* lines — on the *i*-th line print the answer to the number *l**i*.
[ "10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n" ]
[ "6\n6\n6\n6\n6\n5\n4\n3\n2\n1\n" ]
none
[ { "input": "10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10", "output": "6\n6\n6\n6\n6\n5\n4\n3\n2\n1" }, { "input": "8 3\n8 6 4 3 4 2 4 8\n6\n4\n2", "output": "3\n4\n5" }, { "input": "7 10\n1 3 8 6 2 2 7\n4\n2\n6\n3\n4\n4\n6\n2\n7\n4", "output": "3\n5\n2\n4\n3\n3\...
15
0
0
14
604
Uncowed Forces
[ "implementation" ]
null
null
Kevin Sun has just finished competing in Codeforces Round #334! The round was 120 minutes long and featured five problems with maximum point values of 500, 1000, 1500, 2000, and 2500, respectively. Despite the challenging tasks, Kevin was uncowed and bulldozed through all of them, distinguishing himself from the herd a...
The first line of the input contains five space-separated integers *m*1, *m*2, *m*3, *m*4, *m*5, where *m**i* (0<=≤<=*m**i*<=≤<=119) is the time of Kevin's last submission for problem *i*. His last submission is always correct and gets accepted. The second line contains five space-separated integers *w*1, *w*2, *w*3, ...
Print a single integer, the value of Kevin's final score.
[ "20 40 60 80 100\n0 1 2 3 4\n1 0\n", "119 119 119 119 119\n0 0 0 0 0\n10 0\n" ]
[ "4900\n", "4930\n" ]
In the second sample, Kevin takes 119 minutes on all of the problems. Therefore, he gets <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/42158dc2bc78cd21fa679530ae9ef8b9ea298d15.png" style="max-width: 100.0%;max-height: 100.0%;"/> of the points on each problem. So his score from solving pro...
[ { "input": "20 40 60 80 100\n0 1 2 3 4\n1 0", "output": "4900" }, { "input": "119 119 119 119 119\n0 0 0 0 0\n10 0", "output": "4930" }, { "input": "3 6 13 38 60\n6 10 10 3 8\n9 9", "output": "5088" }, { "input": "21 44 11 68 75\n6 2 4 8 4\n2 8", "output": "4522" }, {...
46
0
3
15
522
Photo to Remember
[ "*special", "data structures", "dp", "implementation" ]
null
null
One day *n* friends met at a party, they hadn't seen each other for a long time and so they decided to make a group photo together. Simply speaking, the process of taking photos can be described as follows. On the photo, each photographed friend occupies a rectangle of pixels: the *i*-th of them occupies the rectangl...
The first line contains integer *n* (2<=≤<=*n*<=≤<=200<=000) — the number of friends. Then *n* lines follow: the *i*-th line contains information about the *i*-th friend. The line contains a pair of integers *w**i*,<=*h**i* (1<=≤<=*w**i*<=≤<=10,<=1<=≤<=*h**i*<=≤<=1000) — the width and height in pixels of the correspo...
Print *n* space-separated numbers *b*1,<=*b*2,<=...,<=*b**n*, where *b**i* — the total number of pixels on the minimum photo containing all friends expect for the *i*-th one.
[ "3\n1 10\n5 5\n10 1\n", "3\n2 1\n1 2\n2 1\n" ]
[ "75 110 60 ", "6 4 6 " ]
none
[ { "input": "3\n1 10\n5 5\n10 1", "output": "75 110 60 " }, { "input": "3\n2 1\n1 2\n2 1", "output": "6 4 6 " }, { "input": "2\n1 5\n2 3", "output": "6 5 " }, { "input": "2\n2 3\n1 1", "output": "1 6 " }, { "input": "3\n1 10\n2 10\n3 10", "output": "50 40 30 " ...
1,731
18,534,400
3
16
714
Meeting of Old Friends
[ "implementation", "math" ]
null
null
Today an outstanding event is going to happen in the forest — hedgehog Filya will come to his old fried Sonya! Sonya is an owl and she sleeps during the day and stay awake from minute *l*1 to minute *r*1 inclusive. Also, during the minute *k* she prinks and is unavailable for Filya. Filya works a lot and he plans to ...
The only line of the input contains integers *l*1, *r*1, *l*2, *r*2 and *k* (1<=≤<=*l*1,<=*r*1,<=*l*2,<=*r*2,<=*k*<=≤<=1018, *l*1<=≤<=*r*1, *l*2<=≤<=*r*2), providing the segments of time for Sonya and Filya and the moment of time when Sonya prinks.
Print one integer — the number of minutes Sonya and Filya will be able to spend together.
[ "1 10 9 20 1\n", "1 100 50 200 75\n" ]
[ "2\n", "50\n" ]
In the first sample, they will be together during minutes 9 and 10. In the second sample, they will be together from minute 50 to minute 74 and from minute 76 to minute 100.
[ { "input": "1 10 9 20 1", "output": "2" }, { "input": "1 100 50 200 75", "output": "50" }, { "input": "6 6 5 8 9", "output": "1" }, { "input": "1 1000000000 1 1000000000 1", "output": "999999999" }, { "input": "5 100 8 8 8", "output": "0" }, { "input":...
46
6,758,400
0
17
855
Helga Hufflepuff's Cup
[ "dp", "trees" ]
null
null
Harry, Ron and Hermione have figured out that Helga Hufflepuff's cup is a horcrux. Through her encounter with Bellatrix Lestrange, Hermione came to know that the cup is present in Bellatrix's family vault in Gringott's Wizarding Bank. The Wizarding bank is in the form of a tree with total *n* vaults where each vault ...
The first line of input contains two space separated integers, *n* and *m* — the number of vaults and the number of different vault types possible. (1<=≤<=*n*<=≤<=105,<=1<=≤<=*m*<=≤<=109). Each of the next *n*<=-<=1 lines contain two space separated integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*) representi...
Output a single integer, the number of ways of giving each vault a type following the conditions modulo 109<=+<=7.
[ "4 2\n1 2\n2 3\n1 4\n1 2\n", "3 3\n1 2\n1 3\n2 1\n", "3 1\n1 2\n1 3\n1 1\n" ]
[ "1\n", "13\n", "0\n" ]
In test case 1, we cannot have any vault of the highest security as its type is 1 implying that its adjacent vaults would have to have a vault type less than 1, which is not allowed. Thus, there is only one possible combination, in which all the vaults have type 2.
[ { "input": "4 2\n1 2\n2 3\n1 4\n1 2", "output": "1" }, { "input": "3 3\n1 2\n1 3\n2 1", "output": "13" }, { "input": "3 1\n1 2\n1 3\n1 1", "output": "0" }, { "input": "3 1000000000\n2 3\n3 1\n585430050 9", "output": "91592837" }, { "input": "4 50000\n2 1\n4 2\n2 3...
77
0
0
18
559
Equivalent Strings
[ "divide and conquer", "hashing", "sortings", "strings" ]
null
null
Today on a lecture about strings Gerald learned a new definition of string equivalency. Two strings *a* and *b* of equal length are called equivalent in one of the two cases: 1. They are equal. 1. If we split string *a* into two halves of the same size *a*1 and *a*2, and string *b* into two halves of the same size ...
The first two lines of the input contain two strings given by the teacher. Each of them has the length from 1 to 200<=000 and consists of lowercase English letters. The strings have the same length.
Print "YES" (without the quotes), if these two strings are equivalent, and "NO" (without the quotes) otherwise.
[ "aaba\nabaa\n", "aabb\nabab\n" ]
[ "YES\n", "NO\n" ]
In the first sample you should split the first string into strings "aa" and "ba", the second one — into strings "ab" and "aa". "aa" is equivalent to "aa"; "ab" is equivalent to "ba" as "ab" = "a" + "b", "ba" = "b" + "a". In the second sample the first string can be splitted into strings "aa" and "bb", that are equival...
[ { "input": "aaba\nabaa", "output": "YES" }, { "input": "aabb\nabab", "output": "NO" }, { "input": "a\na", "output": "YES" }, { "input": "a\nb", "output": "NO" }, { "input": "ab\nab", "output": "YES" }, { "input": "ab\nba", "output": "YES" }, { ...
2,000
1,638,400
0
19
702
Powers of Two
[ "brute force", "data structures", "implementation", "math" ]
null
null
You are given *n* integers *a*1,<=*a*2,<=...,<=*a**n*. Find the number of pairs of indexes *i*,<=*j* (*i*<=&lt;<=*j*) that *a**i*<=+<=*a**j* is a power of 2 (i. e. some integer *x* exists so that *a**i*<=+<=*a**j*<==<=2*x*).
The first line contains the single positive integer *n* (1<=≤<=*n*<=≤<=105) — the number of integers. The second line contains *n* positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
Print the number of pairs of indexes *i*,<=*j* (*i*<=&lt;<=*j*) that *a**i*<=+<=*a**j* is a power of 2.
[ "4\n7 3 2 1\n", "3\n1 1 1\n" ]
[ "2\n", "3\n" ]
In the first example the following pairs of indexes include in answer: (1, 4) and (2, 4). In the second example all pairs of indexes (*i*, *j*) (where *i* &lt; *j*) include in answer.
[ { "input": "4\n7 3 2 1", "output": "2" }, { "input": "3\n1 1 1", "output": "3" }, { "input": "1\n1000000000", "output": "0" }, { "input": "10\n2827343 1373647 96204862 723505 796619138 71550121 799843967 5561265 402690754 446173607", "output": "2" }, { "input": "1...
171
19,558,400
3
20
109
Lucky Sum of Digits
[ "brute force", "implementation" ]
A. Lucky Sum of Digits
2
256
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Petya wonders eagerly what minimum lucky number has the sum of digits equal to *n*. Help him cope wi...
The single line contains an integer *n* (1<=≤<=*n*<=≤<=106) — the sum of digits of the required lucky number.
Print on the single line the result — the minimum lucky number, whose sum of digits equals *n*. If such number does not exist, print -1.
[ "11\n", "10\n" ]
[ "47\n", "-1\n" ]
none
[ { "input": "11", "output": "47" }, { "input": "10", "output": "-1" }, { "input": "64", "output": "4477777777" }, { "input": "1", "output": "-1" }, { "input": "4", "output": "4" }, { "input": "7", "output": "7" }, { "input": "12", "outpu...
468
102,400
3.882809
21
540
Combination Lock
[ "implementation" ]
null
null
Scrooge McDuck keeps his most treasured savings in a home safe with a combination lock. Each time he wants to put there the treasures that he's earned fair and square, he has to open the lock. The combination lock is represented by *n* rotating disks with digits from 0 to 9 written on them. Scrooge McDuck has to turn ...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of disks on the combination lock. The second line contains a string of *n* digits — the original state of the disks. The third line contains a string of *n* digits — Scrooge McDuck's combination that opens the lock.
Print a single integer — the minimum number of moves Scrooge McDuck needs to open the lock.
[ "5\n82195\n64723\n" ]
[ "13\n" ]
In the sample he needs 13 moves: - 1 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b8967f65a723782358b93eff9ce69f336817cf70.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 2 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/07fa58573ece0d32...
[ { "input": "5\n82195\n64723", "output": "13" }, { "input": "12\n102021090898\n010212908089", "output": "16" }, { "input": "1\n8\n1", "output": "3" }, { "input": "2\n83\n57", "output": "7" }, { "input": "10\n0728592530\n1362615763", "output": "27" }, { ...
0
0
-1
22
3
Shortest path of the king
[ "greedy", "shortest paths" ]
A. Shortest path of the king
1
64
The king is left alone on the chessboard. In spite of this loneliness, he doesn't lose heart, because he has business of national importance. For example, he has to pay an official visit to square *t*. As the king is not in habit of wasting his time, he wants to get from his current position *s* to square *t* in the le...
The first line contains the chessboard coordinates of square *s*, the second line — of square *t*. Chessboard coordinates consist of two characters, the first one is a lowercase Latin letter (from a to h), the second one is a digit from 1 to 8.
In the first line print *n* — minimum number of the king's moves. Then in *n* lines print the moves themselves. Each move is described with one of the 8: L, R, U, D, LU, LD, RU or RD. L, R, U, D stand respectively for moves left, right, up and down (according to the picture), and 2-letter combinations stand for diago...
[ "a8\nh1\n" ]
[ "7\nRD\nRD\nRD\nRD\nRD\nRD\nRD\n" ]
none
[ { "input": "a8\nh1", "output": "7\nRD\nRD\nRD\nRD\nRD\nRD\nRD" }, { "input": "b2\nb4", "output": "2\nU\nU" }, { "input": "a5\na5", "output": "0" }, { "input": "h1\nb2", "output": "6\nLU\nL\nL\nL\nL\nL" }, { "input": "c5\nh2", "output": "5\nRD\nRD\nRD\nR\nR" ...
184
0
3.908
23
144
Arrival of the General
[ "implementation" ]
null
null
A Ministry for Defense sent a general to inspect the Super Secret Military Squad under the command of the Colonel SuperDuper. Having learned the news, the colonel ordered to all *n* squad soldiers to line up on the parade ground. By the military charter the soldiers should stand in the order of non-increasing of their...
The first input line contains the only integer *n* (2<=≤<=*n*<=≤<=100) which represents the number of soldiers in the line. The second line contains integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100) the values of the soldiers' heights in the order of soldiers' heights' increasing in the order from the beginnin...
Print the only integer — the minimum number of seconds the colonel will need to form a line-up the general will like.
[ "4\n33 44 11 22\n", "7\n10 10 58 31 63 40 76\n" ]
[ "2\n", "10\n" ]
In the first sample the colonel will need to swap the first and second soldier and then the third and fourth soldier. That will take 2 seconds. The resulting position of the soldiers is (44, 33, 22, 11). In the second sample the colonel may swap the soldiers in the following sequence: 1. (10, 10, 58, 31, 63, 40, 76)...
[ { "input": "4\n33 44 11 22", "output": "2" }, { "input": "7\n10 10 58 31 63 40 76", "output": "10" }, { "input": "2\n88 89", "output": "1" }, { "input": "5\n100 95 100 100 88", "output": "0" }, { "input": "7\n48 48 48 48 45 45 45", "output": "0" }, { "...
30
0
-1
24
676
Vasya and String
[ "binary search", "dp", "strings", "two pointers" ]
null
null
High school student Vasya got a string of length *n* as a birthday present. This string consists of letters 'a' and 'b' only. Vasya denotes beauty of the string as the maximum length of a substring (consecutive subsequence) consisting of equal letters. Vasya can change no more than *k* characters of the original strin...
The first line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000,<=0<=≤<=*k*<=≤<=*n*) — the length of the string and the maximum number of characters to change. The second line contains the string, consisting of letters 'a' and 'b' only.
Print the only integer — the maximum beauty of the string Vasya can achieve by changing no more than *k* characters.
[ "4 2\nabba\n", "8 1\naabaabaa\n" ]
[ "4\n", "5\n" ]
In the first sample, Vasya can obtain both strings "aaaa" and "bbbb". In the second sample, the optimal answer is obtained with the string "aaaaabaa" or with the string "aabaaaaa".
[ { "input": "4 2\nabba", "output": "4" }, { "input": "8 1\naabaabaa", "output": "5" }, { "input": "1 0\na", "output": "1" }, { "input": "1 1\nb", "output": "1" }, { "input": "1 0\nb", "output": "1" }, { "input": "1 1\na", "output": "1" }, { ...
124
102,400
3
25
955
Feed the cat
[ "greedy", "math" ]
null
null
After waking up at *hh*:*mm*, Andrew realised that he had forgotten to feed his only cat for yet another time (guess why there's only one cat). The cat's current hunger level is *H* points, moreover each minute without food increases his hunger by *D* points. At any time Andrew can visit the store where tasty buns are...
The first line contains two integers *hh* and *mm* (00<=≤<=*hh*<=≤<=23,<=00<=≤<=*mm*<=≤<=59) — the time of Andrew's awakening. The second line contains four integers *H*, *D*, *C* and *N* (1<=≤<=*H*<=≤<=105,<=1<=≤<=*D*,<=*C*,<=*N*<=≤<=102).
Output the minimum amount of money to within three decimal digits. You answer is considered correct, if its absolute or relative error does not exceed 10<=-<=4. Formally, let your answer be *a*, and the jury's answer be *b*. Your answer is considered correct if .
[ "19 00\n255 1 100 1\n", "17 41\n1000 6 15 11\n" ]
[ "25200.0000\n", "1365.0000\n" ]
In the first sample Andrew can visit the store at exactly 20:00. The cat's hunger will be equal to 315, hence it will be necessary to purchase 315 buns. The discount makes the final answer 25200 roubles. In the second sample it's optimal to visit the store right after he wakes up. Then he'll have to buy 91 bins per 15...
[ { "input": "19 00\n255 1 100 1", "output": "25200.0000" }, { "input": "17 41\n1000 6 15 11", "output": "1365.0000" }, { "input": "16 34\n61066 14 50 59", "output": "43360.0000" }, { "input": "18 18\n23331 86 87 41", "output": "49590.0000" }, { "input": "10 48\n684...
30
0
0
27
764
Taymyr is calling you
[ "brute force", "implementation", "math" ]
null
null
Comrade Dujikov is busy choosing artists for Timofey's birthday and is recieving calls from Taymyr from Ilia-alpinist. Ilia-alpinist calls every *n* minutes, i.e. in minutes *n*, 2*n*, 3*n* and so on. Artists come to the comrade every *m* minutes, i.e. in minutes *m*, 2*m*, 3*m* and so on. The day is *z* minutes long,...
The only string contains three integers — *n*, *m* and *z* (1<=≤<=*n*,<=*m*,<=*z*<=≤<=104).
Print single integer — the minimum number of artists that should be killed so that there are no artists in the room when Ilia calls.
[ "1 1 10\n", "1 2 5\n", "2 3 9\n" ]
[ "10\n", "2\n", "1\n" ]
Taymyr is a place in the north of Russia. In the first test the artists come each minute, as well as the calls, so we need to kill all of them. In the second test we need to kill artists which come on the second and the fourth minutes. In the third test — only the artist which comes on the sixth minute.
[ { "input": "1 1 10", "output": "10" }, { "input": "1 2 5", "output": "2" }, { "input": "2 3 9", "output": "1" }, { "input": "4 8 9", "output": "1" }, { "input": "7 9 2", "output": "0" }, { "input": "10000 10000 10000", "output": "1" }, { "i...
1,000
1,024,000
0
28
525
Vitaliy and Pie
[ "greedy", "hashing", "strings" ]
null
null
After a hard day Vitaly got very hungry and he wants to eat his favorite potato pie. But it's not that simple. Vitaly is in the first room of the house with *n* room located in a line and numbered starting from one from left to right. You can go from the first room to the second room, from the second room to the third ...
The first line of the input contains a positive integer *n* (2<=≤<=*n*<=≤<=105) — the number of rooms in the house. The second line of the input contains string *s* of length 2·*n*<=-<=2. Let's number the elements of the string from left to right, starting from one. The odd positions in the given string *s* contain ...
Print the only integer — the minimum number of keys that Vitaly needs to buy to surely get from room one to room *n*.
[ "3\naAbB\n", "4\naBaCaB\n", "5\nxYyXzZaZ\n" ]
[ "0\n", "3\n", "2\n" ]
none
[ { "input": "3\naAbB", "output": "0" }, { "input": "4\naBaCaB", "output": "3" }, { "input": "5\nxYyXzZaZ", "output": "2" }, { "input": "26\naAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyY", "output": "0" }, { "input": "26\nzAyBxCwDvEuFtGsHrIqJpKoLnMmNlOkPjQiRhSg...
140
409,600
3
29
915
Permute Digits
[ "dp", "greedy" ]
null
null
You are given two positive integer numbers *a* and *b*. Permute (change order) of the digits of *a* to construct maximal number not exceeding *b*. No number in input and/or output can start with the digit 0. It is allowed to leave *a* as it is.
The first line contains integer *a* (1<=≤<=*a*<=≤<=1018). The second line contains integer *b* (1<=≤<=*b*<=≤<=1018). Numbers don't have leading zeroes. It is guaranteed that answer exists.
Print the maximum possible number that is a permutation of digits of *a* and is not greater than *b*. The answer can't have any leading zeroes. It is guaranteed that the answer exists. The number in the output should have exactly the same length as number *a*. It should be a permutation of digits of *a*.
[ "123\n222\n", "3921\n10000\n", "4940\n5000\n" ]
[ "213\n", "9321\n", "4940\n" ]
none
[ { "input": "123\n222", "output": "213" }, { "input": "3921\n10000", "output": "9321" }, { "input": "4940\n5000", "output": "4940" }, { "input": "23923472834\n23589234723", "output": "23498743322" }, { "input": "102391019\n491010301", "output": "399211100" },...
62
0
0
30
749
Bachgold Problem
[ "greedy", "implementation", "math", "number theory" ]
null
null
Bachgold problem is very easy to formulate. Given a positive integer *n* represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer *k* is called prime if it is greater than 1 and has exactly two positive integer ...
The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000).
The first line of the output contains a single integer *k* — maximum possible number of primes in representation. The second line should contain *k* primes with their sum equal to *n*. You can print them in any order. If there are several optimal solution, print any of them.
[ "5\n", "6\n" ]
[ "2\n2 3\n", "3\n2 2 2\n" ]
none
[ { "input": "5", "output": "2\n2 3" }, { "input": "6", "output": "3\n2 2 2" }, { "input": "2", "output": "1\n2" }, { "input": "3", "output": "1\n3" }, { "input": "99999", "output": "49999\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
46
102,400
3
32
204
Little Elephant and Interval
[ "binary search", "combinatorics", "dp" ]
null
null
The Little Elephant very much loves sums on intervals. This time he has a pair of integers *l* and *r* (*l*<=≤<=*r*). The Little Elephant has to find the number of such integers *x* (*l*<=≤<=*x*<=≤<=*r*), that the first digit of integer *x* equals the last one (in decimal notation). For example, such numbers as 101, 4...
The single line contains a pair of integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=1018) — the boundaries of the interval. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.
On a single line print a single integer — the answer to the problem.
[ "2 47\n", "47 1024\n" ]
[ "12\n", "98\n" ]
In the first sample the answer includes integers 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44.
[ { "input": "2 47", "output": "12" }, { "input": "47 1024", "output": "98" }, { "input": "1 1000", "output": "108" }, { "input": "1 10000", "output": "1008" }, { "input": "47 8545", "output": "849" }, { "input": "1000 1000", "output": "0" }, { ...
92
0
0
33
294
Shaass and Oskols
[ "implementation", "math" ]
null
null
Shaass has decided to hunt some birds. There are *n* horizontal electricity wires aligned parallel to each other. Wires are numbered 1 to *n* from top to bottom. On each wire there are some oskols sitting next to each other. Oskol is the name of a delicious kind of birds in Shaass's territory. Supposed there are *a**i*...
The first line of the input contains an integer *n*, (1<=≤<=*n*<=≤<=100). The next line contains a list of space-separated integers *a*1,<=*a*2,<=...,<=*a**n*, (0<=≤<=*a**i*<=≤<=100). The third line contains an integer *m*, (0<=≤<=*m*<=≤<=100). Each of the next *m* lines contains two integers *x**i* and *y**i*. The i...
On the *i*-th line of the output print the number of birds on the *i*-th wire.
[ "5\n10 10 10 10 10\n5\n2 5\n3 13\n2 12\n1 13\n4 6\n", "3\n2 4 1\n1\n2 2\n" ]
[ "0\n12\n5\n0\n16\n", "3\n0\n3\n" ]
none
[ { "input": "5\n10 10 10 10 10\n5\n2 5\n3 13\n2 12\n1 13\n4 6", "output": "0\n12\n5\n0\n16" }, { "input": "3\n2 4 1\n1\n2 2", "output": "3\n0\n3" }, { "input": "5\n58 51 45 27 48\n5\n4 9\n5 15\n4 5\n5 8\n1 43", "output": "0\n66\n57\n7\n0" }, { "input": "10\n48 53 10 28 91 56 8...
124
0
3
34
0
none
[ "none" ]
null
null
Alice and Bob decided to eat some fruit. In the kitchen they found a large bag of oranges and apples. Alice immediately took an orange for herself, Bob took an apple. To make the process of sharing the remaining fruit more fun, the friends decided to play a game. They put multiple cards and on each one they wrote a let...
The first line of the input contains two integers, *x*,<=*y* (1<=≤<=*x*,<=*y*<=≤<=1018,<=*xy*<=&gt;<=1) — the number of oranges and apples that were initially in the bag.
Print any sequence of cards that would meet the problem conditions as a compressed string of characters 'A' and 'B. That means that you need to replace the segments of identical consecutive characters by the number of repetitions of the characters and the actual character. For example, string AAABAABBB should be replac...
[ "1 4\n", "2 2\n", "3 2\n" ]
[ "3B\n", "Impossible\n", "1A1B\n" ]
In the first sample, if the row contained three cards with letter 'B', then Bob should give one apple to Alice three times. So, in the end of the game Alice has one orange and three apples, and Bob has one apple, in total it is one orange and four apples. In second sample, there is no answer since one card is not enou...
[ { "input": "1 4", "output": "3B" }, { "input": "2 2", "output": "Impossible" }, { "input": "3 2", "output": "1A1B" }, { "input": "2 1", "output": "1A" }, { "input": "5 3", "output": "1A1B1A" }, { "input": "5 2", "output": "2A1B" }, { "input...
62
0
3
35
80
Panoramix's Prediction
[ "brute force" ]
A. Panoramix's Prediction
2
256
A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not. The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note t...
The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=&lt;<=*m*<=≤<=50). It is guaranteed that *n* is prime. Pretests contain all the cases with restrictions 2<=≤<=*n*<=&lt;<=*m*<=≤<=4.
Print YES, if *m* is the next prime number after *n*, or NO otherwise.
[ "3 5\n", "7 11\n", "7 9\n" ]
[ "YES", "YES", "NO" ]
none
[ { "input": "3 5", "output": "YES" }, { "input": "7 11", "output": "YES" }, { "input": "7 9", "output": "NO" }, { "input": "2 3", "output": "YES" }, { "input": "2 4", "output": "NO" }, { "input": "3 4", "output": "NO" }, { "input": "3 5", ...
218
6,963,200
3.93253
36
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