contestId int64 0 1.01k | name stringlengths 2 58 | tags listlengths 0 11 | title stringclasses 523
values | time-limit stringclasses 8
values | memory-limit stringclasses 8
values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | test_cases listlengths 0 402 | timeConsumedMillis int64 0 8k | memoryConsumedBytes int64 0 537M | score float64 -1 3.99 | __index_level_0__ int64 0 621k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
557 | Arthur and Table | [
"brute force",
"data structures",
"dp",
"greedy",
"math",
"sortings"
] | null | null | Arthur has bought a beautiful big table into his new flat. When he came home, Arthur noticed that the new table is unstable.
In total the table Arthur bought has *n* legs, the length of the *i*-th leg is *l**i*.
Arthur decided to make the table stable and remove some legs. For each of them Arthur determined number *d... | The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=105) — the initial number of legs in the table Arthur bought.
The second line of the input contains a sequence of *n* integers *l**i* (1<=≤<=*l**i*<=≤<=105), where *l**i* is equal to the length of the *i*-th leg of the table.
The third line of the input ... | Print a single integer — the minimum number of energy units that Arthur needs to spend in order to make the table stable. | [
"2\n1 5\n3 2\n",
"3\n2 4 4\n1 1 1\n",
"6\n2 2 1 1 3 3\n4 3 5 5 2 1\n"
] | [
"2\n",
"0\n",
"8\n"
] | none | [
{
"input": "2\n1 5\n3 2",
"output": "2"
},
{
"input": "3\n2 4 4\n1 1 1",
"output": "0"
},
{
"input": "6\n2 2 1 1 3 3\n4 3 5 5 2 1",
"output": "8"
},
{
"input": "10\n20 1 15 17 11 2 15 3 16 3\n129 114 183 94 169 16 18 104 49 146",
"output": "652"
},
{
"input": "10\... | 92 | 20,172,800 | 0 | 4,190 | |
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<=><=*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<=<<=*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"... | 62 | 0 | 3 | 4,196 | |
886 | Petya and Catacombs | [
"dsu",
"greedy",
"implementation",
"trees"
] | null | null | A very brave explorer Petya once decided to explore Paris catacombs. Since Petya is not really experienced, his exploration is just walking through the catacombs.
Catacombs consist of several rooms and bidirectional passages between some pairs of them. Some passages can connect a room to itself and since the passages ... | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·105) — then number of notes in Petya's logbook.
The second line contains *n* non-negative integers *t*1,<=*t*2,<=...,<=*t**n* (0<=≤<=*t**i*<=<<=*i*) — notes in the logbook. | In the only line print a single integer — the minimum possible number of rooms in Paris catacombs. | [
"2\n0 0\n",
"5\n0 1 0 1 3\n"
] | [
"2\n",
"3\n"
] | In the first sample, sequence of rooms Petya visited could be, for example 1 → 1 → 2, 1 → 2 → 1 or 1 → 2 → 3. The minimum possible number of rooms is 2.
In the second sample, the sequence could be 1 → 2 → 3 → 1 → 2 → 1. | [
{
"input": "2\n0 0",
"output": "2"
},
{
"input": "5\n0 1 0 1 3",
"output": "3"
},
{
"input": "7\n0 1 0 0 0 0 0",
"output": "6"
},
{
"input": "100\n0 0 0 0 0 0 1 4 4 0 2 2 4 1 7 1 11 0 8 4 12 12 3 0 3 2 2 4 3 9 1 5 4 6 9 14 6 2 4 18 7 7 19 11 20 13 17 16 0 34 2 6 12 27 9 4 29 ... | 218 | 14,643,200 | 3 | 4,201 | |
629 | Famil Door and Brackets | [
"dp",
"strings"
] | null | null | As Famil Door’s birthday is coming, some of his friends (like Gabi) decided to buy a present for him. His friends are going to buy a string consisted of round brackets since Famil Door loves string of brackets of length *n* more than any other strings!
The sequence of round brackets is called valid if and only if:
1... | First line contains *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100<=000,<=*n*<=-<=*m*<=≤<=2000) — the desired length of the string and the length of the string bought by Gabi, respectively.
The second line contains string *s* of length *m* consisting of characters '(' and ')' only. | Print the number of pairs of string *p* and *q* such that *p*<=+<=*s*<=+<=*q* is a valid sequence of round brackets modulo 109<=+<=7. | [
"4 1\n(\n",
"4 4\n(())\n",
"4 3\n(((\n"
] | [
"4\n",
"1\n",
"0\n"
] | In the first sample there are four different valid pairs:
1. *p* = "(", *q* = "))" 1. *p* = "()", *q* = ")" 1. *p* = "", *q* = "())" 1. *p* = "", *q* = ")()"
In the second sample the only way to obtain a desired string is choose empty *p* and *q*.
In the third sample there is no way to get a valid sequence of b... | [
{
"input": "4 1\n(",
"output": "4"
},
{
"input": "4 4\n(())",
"output": "1"
},
{
"input": "4 3\n(((",
"output": "0"
},
{
"input": "875 50\n)))((())()))((()(())))))())))((((((()))))))()(((((",
"output": "0"
},
{
"input": "1980 464\n))(()()))(((((((((()))))))(()((((... | 327 | 37,273,600 | 0 | 4,202 | |
98 | Help King | [
"implementation",
"probabilities",
"trees"
] | B. Help King | 2 | 256 | This is the modification of the problem used during the official round. Unfortunately, author's solution of the original problem appeared wrong, so the problem was changed specially for the archive.
Once upon a time in a far away kingdom lived the King. The King had a beautiful daughter, Victoria. They lived happily, ... | The first line contains a single integer *n* from the problem's statement (1<=≤<=*n*<=≤<=10000). | Print the sought expected number of tosses as an irreducible fraction in the following form: "*a*/*b*" (without the quotes) without leading zeroes. | [
"2\n",
"3\n",
"4\n"
] | [
"1/1\n",
"8/3\n",
"2/1\n"
] | none | [
{
"input": "2",
"output": "1/1"
},
{
"input": "3",
"output": "8/3"
},
{
"input": "4",
"output": "2/1"
},
{
"input": "8",
"output": "3/1"
},
{
"input": "7",
"output": "24/7"
},
{
"input": "6",
"output": "11/3"
},
{
"input": "1",
"output"... | 0 | 0 | -1 | 4,209 |
190 | Non-Secret Cypher | [
"two pointers"
] | null | null | Berland starts to seize the initiative on the war with Flatland. To drive the enemy from their native land, the berlanders need to know exactly how many more flatland soldiers are left in the enemy's reserve. Fortunately, the scouts captured an enemy in the morning, who had a secret encrypted message with the informati... | The first line contains two space-separated integers *n*, *k* (1<=≤<=*k*<=≤<=*n*<=≤<=4·105), showing how many numbers an array has and how many equal numbers the subarrays are required to have, correspondingly.
The second line contains *n* space-separated integers *a**i* (1<=≤<=*a**i*<=≤<=109) — elements of the array... | Print the single number — the number of such subarrays of array *a*, that they have at least *k* equal integers.
Please do not use the %lld specifier to read or write 64-bit integers in С++. In is preferred to use the cin, cout streams or the %I64d specifier. | [
"4 2\n1 2 1 2\n",
"5 3\n1 2 1 1 3\n",
"3 1\n1 1 1\n"
] | [
"3",
"2",
"6"
] | In the first sample are three subarrays, containing at least two equal numbers: (1,2,1), (2,1,2) and (1,2,1,2).
In the second sample are two subarrays, containing three equal numbers: (1,2,1,1,3) and (1,2,1,1).
In the third sample any subarray contains at least one 1 number. Overall they are 6: (1), (1), (1), (1,1), ... | [
{
"input": "4 2\n1 2 1 2",
"output": "3"
},
{
"input": "5 3\n1 2 1 1 3",
"output": "2"
},
{
"input": "3 1\n1 1 1",
"output": "6"
},
{
"input": "20 2\n6 7 2 4 6 8 4 3 10 5 3 5 7 9 1 2 8 1 9 10",
"output": "131"
},
{
"input": "63 2\n1 2 1 2 4 5 1 1 1 1 1 2 3 1 2 3 3... | 3,000 | 2,355,200 | 0 | 4,210 | |
460 | Little Dima and Equation | [
"brute force",
"implementation",
"math",
"number theory"
] | null | null | Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following problem as a punishment.
Find all integer solutions *x* (0<=<<=*x*<=<<=109) of the equation:
where *a*, *b*, *c* are some predetermined constant values and function *s*(*x*) determines the sum of all digi... | The first line contains three space-separated integers: *a*,<=*b*,<=*c* (1<=≤<=*a*<=≤<=5; 1<=≤<=*b*<=≤<=10000; <=-<=10000<=≤<=*c*<=≤<=10000). | Print integer *n* — the number of the solutions that you've found. Next print *n* integers in the increasing order — the solutions of the given equation. Print only integer solutions that are larger than zero and strictly less than 109. | [
"3 2 8\n",
"1 2 -18\n",
"2 2 -1\n"
] | [
"3\n10 2008 13726 ",
"0\n",
"4\n1 31 337 967 "
] | none | [
{
"input": "3 2 8",
"output": "3\n10 2008 13726 "
},
{
"input": "1 2 -18",
"output": "0"
},
{
"input": "2 2 -1",
"output": "4\n1 31 337 967 "
},
{
"input": "1 1 0",
"output": "9\n1 2 3 4 5 6 7 8 9 "
},
{
"input": "1 37 963",
"output": "16\n1000 1111 1222 1333 ... | 139 | 6,041,600 | 0 | 4,214 | |
612 | HDD is Outdated Technology | [
"implementation",
"math"
] | null | null | HDD hard drives group data by sectors. All files are split to fragments and each of them are written in some sector of hard drive. Note the fragments can be written in sectors in arbitrary order.
One of the problems of HDD hard drives is the following: the magnetic head should move from one sector to another to read s... | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of fragments.
The second line contains *n* different integers *f**i* (1<=≤<=*f**i*<=≤<=*n*) — the number of the fragment written in the *i*-th sector. | Print the only integer — the number of time units needed to read the file. | [
"3\n3 1 2\n",
"5\n1 3 5 4 2\n"
] | [
"3\n",
"10\n"
] | In the second example the head moves in the following way:
- 1->2 means movement from the sector 1 to the sector 5, i.e. it takes 4 time units - 2->3 means movement from the sector 5 to the sector 2, i.e. it takes 3 time units - 3->4 means movement from the sector 2 to the sector 4, i.e. it takes 2 time un... | [
{
"input": "3\n3 1 2",
"output": "3"
},
{
"input": "5\n1 3 5 4 2",
"output": "10"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "10\n8 2 10 3 4 6 1 7 9 5",
"output": "40"
... | 187 | 716,800 | -1 | 4,218 | |
78 | Beaver Game | [
"dp",
"games",
"number theory"
] | C. Beaver Game | 1 | 256 | Two beavers, Timur and Marsel, play the following game.
There are *n* logs, each of exactly *m* meters in length. The beavers move in turns. For each move a beaver chooses a log and gnaws it into some number (more than one) of equal parts, the length of each one is expressed by an integer and is no less than *k* meter... | The first line contains three integers *n*, *m*, *k* (1<=≤<=*n*,<=*m*,<=*k*<=≤<=109). | Print "Timur", if Timur wins, or "Marsel", if Marsel wins. You should print everything without the quotes. | [
"1 15 4\n",
"4 9 5\n"
] | [
"Timur",
"Marsel"
] | In the first sample the beavers only have one log, of 15 meters in length. Timur moves first. The only move he can do is to split the log into 3 parts each 5 meters in length. Then Marsel moves but he can't split any of the resulting logs, as *k* = 4. Thus, the winner is Timur.
In the second example the beavers have 4... | [
{
"input": "1 15 4",
"output": "Timur"
},
{
"input": "4 9 5",
"output": "Marsel"
},
{
"input": "14 30 9",
"output": "Marsel"
},
{
"input": "81 180 53",
"output": "Timur"
},
{
"input": "225 187 20",
"output": "Marsel"
},
{
"input": "501 840 11",
"ou... | 46 | 4,608,000 | 0 | 4,222 |
186 | Growing Mushrooms | [
"greedy",
"sortings"
] | null | null | Each year in the castle of Dwarven King there is a competition in growing mushrooms among the dwarves. The competition is one of the most prestigious ones, and the winner gets a wooden salad bowl. This year's event brought together the best mushroom growers from around the world, so we had to slightly change the rules ... | The first input line contains four integer numbers *n*, *t*1, *t*2, *k* (1<=≤<=*n*,<=*t*1,<=*t*2<=≤<=1000; 1<=≤<=*k*<=≤<=100) — the number of participants, the time before the break, the time after the break and the percentage, by which the mushroom growth drops during the break, correspondingly.
Each of the following... | Print the final results' table: *n* lines, each line should contain the number of the corresponding dwarf and the final maximum height of his mushroom with exactly two digits after the decimal point. The answer will be considered correct if it is absolutely accurate. | [
"2 3 3 50\n2 4\n4 2\n",
"4 1 1 1\n544 397\n280 101\n280 101\n693 970\n"
] | [
"1 15.00\n2 15.00\n",
"4 1656.07\n1 937.03\n2 379.99\n3 379.99\n"
] | - First example: for each contestant it is optimal to use firstly speed 2 and afterwards speed 4, because 2·3·0.5 + 4·3 > 4·3·0.5 + 2·3. | [
{
"input": "2 3 3 50\n2 4\n4 2",
"output": "1 15.00\n2 15.00"
},
{
"input": "4 1 1 1\n544 397\n280 101\n280 101\n693 970",
"output": "4 1656.07\n1 937.03\n2 379.99\n3 379.99"
},
{
"input": "10 1 1 25\n981 1\n352 276\n164 691\n203 853\n599 97\n901 688\n934 579\n910 959\n317 624\n440 737",... | 278 | 22,835,200 | 3 | 4,227 | |
441 | Valera and Tubes | [
"constructive algorithms",
"dfs and similar",
"implementation"
] | null | null | Valera has got a rectangle table consisting of *n* rows and *m* columns. Valera numbered the table rows starting from one, from top to bottom and the columns – starting from one, from left to right. We will represent cell that is on the intersection of row *x* and column *y* by a pair of integers (*x*,<=*y*).
Valera w... | The first line contains three space-separated integers *n*,<=*m*,<=*k* (2<=≤<=*n*,<=*m*<=≤<=300; 2<=≤<=2*k*<=≤<=*n*·*m*) — the number of rows, the number of columns and the number of tubes, correspondingly. | Print *k* lines. In the *i*-th line print the description of the *i*-th tube: first print integer *r**i* (the number of tube cells), then print 2*r**i* integers *x**i*1,<=*y**i*1,<=*x**i*2,<=*y**i*2,<=...,<=*x**ir**i*,<=*y**ir**i* (the sequence of table cells).
If there are multiple solutions, you can print any of the... | [
"3 3 3\n",
"2 3 1\n"
] | [
"3 1 1 1 2 1 3\n3 2 1 2 2 2 3\n3 3 1 3 2 3 3\n",
"6 1 1 1 2 1 3 2 3 2 2 2 1\n"
] | Picture for the first sample:
Picture for the second sample: | [
{
"input": "3 3 3",
"output": "3 1 1 1 2 1 3\n3 2 1 2 2 2 3\n3 3 1 3 2 3 3"
},
{
"input": "2 3 1",
"output": "6 1 1 1 2 1 3 2 3 2 2 2 1"
},
{
"input": "2 3 1",
"output": "6 1 1 1 2 1 3 2 3 2 2 2 1"
},
{
"input": "300 300 2",
"output": "2 1 1 1 2\n89998 1 3 1 4 1 5 1 6 1 7... | 607 | 16,486,400 | 3 | 4,230 | |
680 | Bear and Five Cards | [
"constructive algorithms",
"implementation"
] | null | null | A little bear Limak plays a game. He has five cards. There is one number written on each card. Each number is a positive integer.
Limak can discard (throw out) some cards. His goal is to minimize the sum of numbers written on remaining (not discarded) cards.
He is allowed to at most once discard two or three cards wi... | The only line of the input contains five integers *t*1, *t*2, *t*3, *t*4 and *t*5 (1<=≤<=*t**i*<=≤<=100) — numbers written on cards. | Print the minimum possible sum of numbers written on remaining cards. | [
"7 3 7 3 20\n",
"7 9 3 1 8\n",
"10 10 10 10 10\n"
] | [
"26\n",
"28\n",
"20\n"
] | In the first sample, Limak has cards with numbers 7, 3, 7, 3 and 20. Limak can do one of the following.
- Do nothing and the sum would be 7 + 3 + 7 + 3 + 20 = 40. - Remove two cards with a number 7. The remaining sum would be 3 + 3 + 20 = 26. - Remove two cards with a number 3. The remaining sum would be 7 + 7 + 20... | [
{
"input": "7 3 7 3 20",
"output": "26"
},
{
"input": "7 9 3 1 8",
"output": "28"
},
{
"input": "10 10 10 10 10",
"output": "20"
},
{
"input": "8 7 1 8 7",
"output": "15"
},
{
"input": "7 7 7 8 8",
"output": "16"
},
{
"input": "8 8 8 2 2",
"output"... | 46 | 0 | 3 | 4,232 | |
784 | Numbers Joke | [
"*special"
] | null | null | The input contains a single integer *a* (1<=≤<=*a*<=≤<=30).
Output a single integer. | The input contains a single integer *a* (1<=≤<=*a*<=≤<=30). | Output a single integer. | [
"3\n"
] | [
"27\n"
] | none | [
{
"input": "3",
"output": "27"
},
{
"input": "1",
"output": "4"
},
{
"input": "2",
"output": "22"
},
{
"input": "4",
"output": "58"
},
{
"input": "5",
"output": "85"
},
{
"input": "6",
"output": "94"
},
{
"input": "7",
"output": "121"
... | 0 | 0 | -1 | 4,246 | |
142 | Help Greg the Dwarf 2 | [
"geometry"
] | null | null | Greg the Dwarf has been really busy recently with excavations by the Neverland Mountain. However for the well-known reasons (as you probably remember he is a very unusual dwarf and he cannot stand sunlight) Greg can only excavate at night. And in the morning he should be in his crypt before the first sun ray strikes. T... | The first input line contains space-separated integers *r* and *h* (1<=≤<=*r*,<=*h*<=≤<=1000) — the base radius and the cone height correspondingly. The second and third lines contain coordinates of two points on the cone surface, groups of three space-separated real numbers. The coordinates of the points are given in ... | Print the length of the shortest path between the points given in the input, with absolute or relative error not exceeding 10<=-<=6. | [
"2 2\n1.0 0.0 0.0\n-1.0 0.0 0.0\n",
"2 2\n1.0 0.0 0.0\n1.0 0.0 1.0\n",
"2 2\n1.0 0.0 1.0\n-1.0 0.0 1.0\n",
"2 2\n1.0 0.0 0.0\n0.0 1.0 1.0\n"
] | [
"2.000000000",
"2.414213562",
"2.534324263",
"3.254470198"
] | none | [
{
"input": "2 2\n1.0 0.0 0.0\n-1.0 0.0 0.0",
"output": "2.0000000000000000"
},
{
"input": "2 2\n1.0 0.0 0.0\n1.0 0.0 1.0",
"output": "2.414213562373095"
},
{
"input": "2 2\n1.0 0.0 1.0\n-1.0 0.0 1.0",
"output": "2.534324262661599"
},
{
"input": "2 2\n1.0 0.0 0.0\n0.0 1.0 1.0"... | 92 | 0 | 0 | 4,257 | |
598 | Queries on a String | [
"implementation",
"strings"
] | null | null | You are given a string *s* and should process *m* queries. Each query is described by two 1-based indices *l**i*, *r**i* and integer *k**i*. It means that you should cyclically shift the substring *s*[*l**i*... *r**i*] *k**i* times. The queries should be processed one after another in the order they are given.
One ope... | The first line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=10<=000) in its initial state, where |*s*| stands for the length of *s*. It contains only lowercase English letters.
Second line contains a single integer *m* (1<=≤<=*m*<=≤<=300) — the number of queries.
The *i*-th of the next *m* lines contains thr... | Print the resulting string *s* after processing all *m* queries. | [
"abacaba\n2\n3 6 1\n1 4 2\n"
] | [
"baabcaa\n"
] | The sample is described in problem statement. | [
{
"input": "abacaba\n2\n3 6 1\n1 4 2",
"output": "baabcaa"
},
{
"input": "u\n1\n1 1 1",
"output": "u"
},
{
"input": "p\n5\n1 1 5\n1 1 9\n1 1 10\n1 1 10\n1 1 4",
"output": "p"
},
{
"input": "ssssssssss\n5\n5 7 9\n3 9 3\n2 7 1\n7 7 10\n1 9 6",
"output": "ssssssssss"
},
... | 2,000 | 1,433,600 | 0 | 4,260 | |
915 | Imbalance Value of a Tree | [
"data structures",
"dsu",
"graphs",
"trees"
] | null | null | You are given a tree *T* consisting of *n* vertices. A number is written on each vertex; the number written on vertex *i* is *a**i*. Let's denote the function *I*(*x*,<=*y*) as the difference between maximum and minimum value of *a**i* on a simple path connecting vertices *x* and *y*.
Your task is to calculate . | The first line contains one integer number *n* (1<=≤<=*n*<=≤<=106) — the number of vertices in the tree.
The second line contains *n* integer numbers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=106) — the numbers written on the vertices.
Then *n*<=-<=1 lines follow. Each line contains two integers *x* and *y* denoting ... | Print one number equal to . | [
"4\n2 2 3 1\n1 2\n1 3\n1 4\n"
] | [
"6\n"
] | none | [
{
"input": "4\n2 2 3 1\n1 2\n1 3\n1 4",
"output": "6"
}
] | 93 | 2,867,200 | 0 | 4,276 | |
675 | Restoring Painting | [
"brute force",
"constructive algorithms",
"math"
] | null | null | Vasya works as a watchman in the gallery. Unfortunately, one of the most expensive paintings was stolen while he was on duty. He doesn't want to be fired, so he has to quickly restore the painting. He remembers some facts about it.
- The painting is a square 3<=×<=3, each cell contains a single integer from 1 to *n*,... | The first line of the input contains five integers *n*, *a*, *b*, *c* and *d* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*a*,<=*b*,<=*c*,<=*d*<=≤<=*n*) — maximum possible value of an integer in the cell and four integers that Vasya remembers. | Print one integer — the number of distinct valid squares. | [
"2 1 1 1 2\n",
"3 3 1 2 3\n"
] | [
"2\n",
"6\n"
] | Below are all the possible paintings for the first sample. <img class="tex-graphics" src="https://espresso.codeforces.com/c4c53d4e7b6814d8aad7b72604b6089d61dadb48.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/46a6ad6a5d3db202f3779b045b9dc77fc2348cf1.... | [
{
"input": "2 1 1 1 2",
"output": "2"
},
{
"input": "3 3 1 2 3",
"output": "6"
},
{
"input": "1 1 1 1 1",
"output": "1"
},
{
"input": "1000 522 575 426 445",
"output": "774000"
},
{
"input": "99000 52853 14347 64237 88869",
"output": "1296306000"
},
{
... | 124 | 307,200 | 3 | 4,286 | |
963 | Frequency of String | [
"hashing",
"string suffix structures",
"strings"
] | null | null | You are given a string $s$. You should answer $n$ queries. The $i$-th query consists of integer $k_i$ and string $m_i$. The answer for this query is the minimum length of such a string $t$ that $t$ is a substring of $s$ and $m_i$ has at least $k_i$ occurrences as a substring in $t$.
A substring of a string is a contin... | The first line contains string $s$ $(1 \leq \left | s \right | \leq 10^{5})$.
The second line contains an integer $n$ ($1 \leq n \leq 10^5$).
Each of next $n$ lines contains an integer $k_i$ $(1 \leq k_i \leq |s|)$ and a non-empty string $m_i$ — parameters of the query with number $i$, in this order.
All strings in ... | For each query output the answer for it in a separate line.
If a string $m_{i}$ occurs in $s$ less that $k_{i}$ times, output -1. | [
"aaaaa\n5\n3 a\n3 aa\n2 aaa\n3 aaaa\n1 aaaaa\n",
"abbb\n7\n4 b\n1 ab\n3 bb\n1 abb\n2 bbb\n1 a\n2 abbb\n"
] | [
"3\n4\n4\n-1\n5\n",
"-1\n2\n-1\n3\n-1\n1\n-1\n"
] | none | [] | 0 | 0 | -1 | 4,301 | |
165 | Burning Midnight Oil | [
"binary search",
"implementation"
] | null | null | One day a highly important task was commissioned to Vasya — writing a program in a night. The program consists of *n* lines of code. Vasya is already exhausted, so he works like that: first he writes *v* lines of code, drinks a cup of tea, then he writes as much as lines, drinks another cup of tea, then he writes lin... | The input consists of two integers *n* and *k*, separated by spaces — the size of the program in lines and the productivity reduction coefficient, 1<=≤<=*n*<=≤<=109, 2<=≤<=*k*<=≤<=10. | Print the only integer — the minimum value of *v* that lets Vasya write the program in one night. | [
"7 2\n",
"59 9\n"
] | [
"4\n",
"54\n"
] | In the first sample the answer is *v* = 4. Vasya writes the code in the following portions: first 4 lines, then 2, then 1, and then Vasya falls asleep. Thus, he manages to write 4 + 2 + 1 = 7 lines in a night and complete the task.
In the second sample the answer is *v* = 54. Vasya writes the code in the following por... | [
{
"input": "7 2",
"output": "4"
},
{
"input": "59 9",
"output": "54"
},
{
"input": "1 9",
"output": "1"
},
{
"input": "11 2",
"output": "7"
},
{
"input": "747 2",
"output": "376"
},
{
"input": "6578 2",
"output": "3293"
},
{
"input": "37212... | 154 | 2,867,200 | -1 | 4,307 | |
331 | Oh Sweet Beaverette | [
"data structures",
"sortings"
] | null | null | — Oh my sweet Beaverette, would you fancy a walk along a wonderful woodland belt with me?
— Of course, my Smart Beaver! Let us enjoy the splendid view together. How about Friday night?
At this point the Smart Beaver got rushing. Everything should be perfect by Friday, so he needed to prepare the belt to the upcom... | The first line contains a single integer *n* — the initial number of trees in the woodland belt, 2<=≤<=*n*. The second line contains space-separated integers *a**i* — the esthetic appeals of each tree. All esthetic appeals do not exceed 109 in their absolute value.
- to get 30 points, you need to solve the problem wi... | In the first line print two integers — the total esthetic appeal of the woodland belt after the Smart Beaver's intervention and the number of the cut down trees *k*.
In the next line print *k* integers — the numbers of the trees the Beaver needs to cut down. Assume that the trees are numbered from 1 to *n* from left t... | [
"5\n1 2 3 1 2\n",
"5\n1 -2 3 1 -2\n"
] | [
"8 1\n1 ",
"5 2\n2 5 "
] | none | [
{
"input": "5\n1 2 3 1 2",
"output": "8 1\n1 "
},
{
"input": "5\n1 -2 3 1 -2",
"output": "5 2\n2 5 "
},
{
"input": "2\n0 0",
"output": "0 0"
},
{
"input": "3\n0 -1 0",
"output": "0 1\n2 "
},
{
"input": "3\n1 1 1",
"output": "3 0"
},
{
"input": "4\n-1 1... | 92 | 0 | 0 | 4,320 | |
133 | Unary | [
"implementation"
] | null | null | Unary is a minimalistic Brainfuck dialect in which programs are written using only one token.
Brainfuck programs use 8 commands: "+", "-", "[", "]", "<", ">", "." and "," (their meaning is not important for the purposes of this problem). Unary programs are created from Brainfuck programs using the following alg... | The input will consist of a single line *p* which gives a Brainfuck program. String *p* will contain between 1 and 100 characters, inclusive. Each character of *p* will be "+", "-", "[", "]", "<", ">", "." or ",". | Output the size of the equivalent Unary program modulo 1000003 (106<=+<=3). | [
",.\n",
"++++[>,.<-]\n"
] | [
"220\n",
"61425\n"
] | To write a number *n* in unary numeral system, one simply has to write 1 *n* times. For example, 5 written in unary system will be 11111.
In the first example replacing Brainfuck commands with binary code will give us 1101 1100. After we concatenate the codes, we'll get 11011100 in binary system, or 220 in decimal. Th... | [
{
"input": ",.",
"output": "220"
},
{
"input": "++++[>,.<-]",
"output": "61425"
},
{
"input": "[-],<],<<,<[,>,+>[[<>.,[>-[-[<><>><<<<]>,.-].>-[[>+,>,[,-,.-,-[[]>..<>,<[+,-<]-++.<+.]<,[[.<<-><<<],",
"output": "43789"
},
{
"input": "+",
"output": "10"
},
{
"input": ... | 124 | 0 | 3 | 4,325 | |
320 | Ping-Pong (Easy Version) | [
"dfs and similar",
"graphs"
] | null | null | In this problem at each moment you have a set of intervals. You can move from interval (*a*,<=*b*) from our set to interval (*c*,<=*d*) from our set if and only if *c*<=<<=*a*<=<<=*d* or *c*<=<<=*b*<=<<=*d*. Also there is a path from interval *I*1 from our set to interval *I*2 from our set if there is a seq... | The first line of the input contains integer *n* denoting the number of queries, (1<=≤<=*n*<=≤<=100). Each of the following lines contains a query as described above. All numbers in the input are integers and don't exceed 109 by their absolute value.
It's guaranteed that all queries are correct. | For each query of the second type print "YES" or "NO" on a separate line depending on the answer. | [
"5\n1 1 5\n1 5 11\n2 1 2\n1 2 9\n2 1 2\n"
] | [
"NO\nYES\n"
] | none | [
{
"input": "5\n1 1 5\n1 5 11\n2 1 2\n1 2 9\n2 1 2",
"output": "NO\nYES"
},
{
"input": "10\n1 -311 -186\n1 -1070 -341\n1 -1506 -634\n1 688 1698\n2 2 4\n1 70 1908\n2 1 2\n2 2 4\n1 -1053 1327\n2 5 4",
"output": "NO\nNO\nNO\nYES"
},
{
"input": "10\n1 -1365 -865\n1 1244 1834\n2 1 2\n1 -1508 -... | 124 | 0 | 0 | 4,334 | |
787 | The Monster | [
"brute force",
"math",
"number theory"
] | null | null | A monster is chasing after Rick and Morty on another planet. They're so frightened that sometimes they scream. More accurately, Rick screams at times *b*,<=*b*<=+<=*a*,<=*b*<=+<=2*a*,<=*b*<=+<=3*a*,<=... and Morty screams at times *d*,<=*d*<=+<=*c*,<=*d*<=+<=2*c*,<=*d*<=+<=3*c*,<=....
The Monster will catch them if a... | The first line of input contains two integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=100).
The second line contains two integers *c* and *d* (1<=≤<=*c*,<=*d*<=≤<=100). | Print the first time Rick and Morty will scream at the same time, or <=-<=1 if they will never scream at the same time. | [
"20 2\n9 19\n",
"2 1\n16 12\n"
] | [
"82\n",
"-1\n"
] | In the first sample testcase, Rick's 5th scream and Morty's 8th time are at time 82.
In the second sample testcase, all Rick's screams will be at odd times and Morty's will be at even times, so they will never scream at the same time. | [
{
"input": "20 2\n9 19",
"output": "82"
},
{
"input": "2 1\n16 12",
"output": "-1"
},
{
"input": "39 52\n88 78",
"output": "1222"
},
{
"input": "59 96\n34 48",
"output": "1748"
},
{
"input": "87 37\n91 29",
"output": "211"
},
{
"input": "11 81\n49 7",
... | 514 | 4,608,000 | 3 | 4,338 | |
0 | none | [
"none"
] | null | null | As we all know Barney's job is "PLEASE" and he has not much to do at work. That's why he started playing "cups and key". In this game there are three identical cups arranged in a line from left to right. Initially key to Barney's heart is under the middle cup.
Then at one turn Barney swaps the cup in the middle with a... | The first line of input contains a single integer *k* (1<=≤<=*k*<=≤<=105) — the number of elements in array Barney gave you.
The second line contains *k* integers *a*1,<=*a*2,<=...,<=*a**k* (1<=≤<=*a**i*<=≤<=1018) — the elements of the array. | In the only line of output print a single string *x*<=/<=*y* where *x* is the remainder of dividing *p* by 109<=+<=7 and *y* is the remainder of dividing *q* by 109<=+<=7. | [
"1\n2\n",
"3\n1 1 1\n"
] | [
"1/2\n",
"0/1\n"
] | none | [
{
"input": "1\n2",
"output": "1/2"
},
{
"input": "3\n1 1 1",
"output": "0/1"
},
{
"input": "1\n983155795040951739",
"output": "145599903/436799710"
},
{
"input": "2\n467131402341701583 956277077729692725",
"output": "63467752/190403257"
},
{
"input": "10\n21767322... | 62 | 1,228,800 | 0 | 4,342 | |
879 | Borya's Diagnosis | [
"implementation"
] | null | null | It seems that Borya is seriously sick. He is going visit *n* doctors to find out the exact diagnosis. Each of the doctors needs the information about all previous visits, so Borya has to visit them in the prescribed order (i.e. Borya should first visit doctor 1, then doctor 2, then doctor 3 and so on). Borya will get t... | First line contains an integer *n* — number of doctors (1<=≤<=*n*<=≤<=1000).
Next *n* lines contain two numbers *s**i* and *d**i* (1<=≤<=*s**i*,<=*d**i*<=≤<=1000). | Output a single integer — the minimum day at which Borya can visit the last doctor. | [
"3\n2 2\n1 2\n2 2\n",
"2\n10 1\n6 5\n"
] | [
"4\n",
"11\n"
] | In the first sample case, Borya can visit all doctors on days 2, 3 and 4.
In the second sample case, Borya can visit all doctors on days 10 and 11. | [
{
"input": "3\n2 2\n1 2\n2 2",
"output": "4"
},
{
"input": "2\n10 1\n6 5",
"output": "11"
},
{
"input": "3\n6 10\n3 3\n8 2",
"output": "10"
},
{
"input": "4\n4 8\n10 10\n4 2\n8 2",
"output": "14"
},
{
"input": "5\n7 1\n5 1\n6 1\n1 6\n6 8",
"output": "14"
},
... | 62 | 0 | 0 | 4,362 | |
975 | Mancala | [
"brute force",
"implementation"
] | null | null | Mancala is a game famous in the Middle East. It is played on a board that consists of 14 holes.
Initially, each hole has $a_i$ stones. When a player makes a move, he chooses a hole which contains a positive number of stones. He takes all the stones inside it and then redistributes these stones one by one in the next ... | The only line contains 14 integers $a_1, a_2, \ldots, a_{14}$ ($0 \leq a_i \leq 10^9$) — the number of stones in each hole.
It is guaranteed that for any $i$ ($1\leq i \leq 14$) $a_i$ is either zero or odd, and there is at least one stone in the board. | Output one integer, the maximum possible score after one move. | [
"0 1 1 0 0 0 0 0 0 7 0 0 0 0\n",
"5 1 1 1 1 0 0 0 0 0 0 0 0 0\n"
] | [
"4\n",
"8\n"
] | In the first test case the board after the move from the hole with $7$ stones will look like 1 2 2 0 0 0 0 0 0 0 1 1 1 1. Then the player collects the even numbers and ends up with a score equal to $4$. | [
{
"input": "0 1 1 0 0 0 0 0 0 7 0 0 0 0",
"output": "4"
},
{
"input": "5 1 1 1 1 0 0 0 0 0 0 0 0 0",
"output": "8"
},
{
"input": "10001 10001 10001 10001 10001 10001 10001 10001 10001 10001 10001 10001 10001 1",
"output": "54294"
},
{
"input": "0 0 0 0 0 0 0 0 0 0 0 0 0 15",
... | 46 | 409,600 | 3 | 4,364 | |
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",
... | 1,000 | 13,619,200 | 0 | 4,380 | |
88 | Chord | [
"brute force",
"implementation"
] | A. Chord | 2 | 256 | Vasya studies music.
He has learned lots of interesting stuff. For example, he knows that there are 12 notes: C, C#, D, D#, E, F, F#, G, G#, A, B, H. He also knows that the notes are repeated cyclically: after H goes C again, and before C stands H. We will consider the C note in the row's beginning and the C note aft... | The only line contains 3 space-separated notes in the above-given notation. | Print "major" if the chord is major, "minor" if it is minor, and "strange" if the teacher gave Vasya some weird chord which is neither major nor minor. Vasya promises you that the answer will always be unambiguous. That is, there are no chords that are both major and minor simultaneously. | [
"C E G\n",
"C# B F\n",
"A B H\n"
] | [
"major\n",
"minor\n",
"strange\n"
] | none | [
{
"input": "C E G",
"output": "major"
},
{
"input": "C# B F",
"output": "minor"
},
{
"input": "A B H",
"output": "strange"
},
{
"input": "G H E",
"output": "minor"
},
{
"input": "D# B G",
"output": "major"
},
{
"input": "D# B F#",
"output": "minor"... | 310 | 0 | 3.9225 | 4,389 |
253 | Physics Practical | [
"binary search",
"dp",
"sortings",
"two pointers"
] | null | null | One day Vasya was on a physics practical, performing the task on measuring the capacitance. He followed the teacher's advice and did as much as *n* measurements, and recorded the results in the notebook. After that he was about to show the results to the teacher, but he remembered that at the last lesson, the teacher h... | The first line contains integer *n* (2<=≤<=*n*<=≤<=105) — the number of measurements Vasya made. The second line contains *n* integers *c*1,<=*c*2,<=...,<=*c**n* (1<=≤<=*c**i*<=≤<=5000) — the results of the measurements. The numbers on the second line are separated by single spaces. | Print a single integer — the minimum number of results Vasya will have to remove. | [
"6\n4 5 3 8 3 7\n",
"4\n4 3 2 4\n"
] | [
"2\n",
"0\n"
] | In the first sample you can remove the fourth and the sixth measurement results (values 8 and 7). Then the maximum of the remaining values will be 5, and the minimum one will be 3. Or else, you can remove the third and fifth results (both equal 3). After that the largest remaining result will be 8, and the smallest one... | [
{
"input": "6\n4 5 3 8 3 7",
"output": "2"
},
{
"input": "4\n4 3 2 4",
"output": "0"
},
{
"input": "6\n5 6 4 9 4 8",
"output": "1"
},
{
"input": "4\n5 4 1 5",
"output": "1"
},
{
"input": "2\n3 2",
"output": "0"
},
{
"input": "10\n39 9 18 13 6 16 47 15 ... | 92 | 0 | 0 | 4,414 | |
863 | 1-2-3 | [
"graphs",
"implementation"
] | null | null | Ilya is working for the company that constructs robots. Ilya writes programs for entertainment robots, and his current project is "Bob", a new-generation game robot. Ilya's boss wants to know his progress so far. Especially he is interested if Bob is better at playing different games than the previous model, "Alice".
... | The first line contains three numbers *k*, *a*, *b* (1<=≤<=*k*<=≤<=1018, 1<=≤<=*a*,<=*b*<=≤<=3).
Then 3 lines follow, *i*-th of them containing 3 numbers *A**i*,<=1, *A**i*,<=2, *A**i*,<=3, where *A**i*,<=*j* represents Alice's choice in the game if Alice chose *i* in previous game and Bob chose *j* (1<=≤<=*A**i*,<=*... | Print two numbers. First of them has to be equal to the number of points Alice will have, and second of them must be Bob's score after *k* games. | [
"10 2 1\n1 1 1\n1 1 1\n1 1 1\n2 2 2\n2 2 2\n2 2 2\n",
"8 1 1\n2 2 1\n3 3 1\n3 1 3\n1 1 1\n2 1 1\n1 2 3\n",
"5 1 1\n1 2 2\n2 2 2\n2 2 2\n1 2 2\n2 2 2\n2 2 2\n"
] | [
"1 9\n",
"5 2\n",
"0 0\n"
] | In the second example game goes like this:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1e21b6e200707470571d69c9946ace6b56f5279b.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The fourth and the seventh game are won by Bob, the first game is draw and the rest are won by Alice. | [
{
"input": "10 2 1\n1 1 1\n1 1 1\n1 1 1\n2 2 2\n2 2 2\n2 2 2",
"output": "1 9"
},
{
"input": "8 1 1\n2 2 1\n3 3 1\n3 1 3\n1 1 1\n2 1 1\n1 2 3",
"output": "5 2"
},
{
"input": "5 1 1\n1 2 2\n2 2 2\n2 2 2\n1 2 2\n2 2 2\n2 2 2",
"output": "0 0"
},
{
"input": "1 1 1\n3 3 1\n1 1 1\... | 61 | 204,800 | -1 | 4,415 | |
808 | Selling Souvenirs | [
"binary search",
"dp",
"greedy",
"ternary search"
] | null | null | After several latest reforms many tourists are planning to visit Berland, and Berland people understood that it's an opportunity to earn money and changed their jobs to attract tourists. Petya, for example, left the IT corporation he had been working for and started to sell souvenirs at the market.
This morning, as us... | The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100000, 1<=≤<=*m*<=≤<=300000) — the number of Petya's souvenirs and total weight that he can carry to the market.
Then *n* lines follow. *i*th line contains two integers *w**i* and *c**i* (1<=≤<=*w**i*<=≤<=3, 1<=≤<=*c**i*<=≤<=109) — the weight and the cos... | Print one number — maximum possible total cost of souvenirs that Petya can carry to the market. | [
"1 1\n2 1\n",
"2 2\n1 3\n2 2\n",
"4 3\n3 10\n2 7\n2 8\n1 1\n"
] | [
"0\n",
"3\n",
"10\n"
] | none | [
{
"input": "1 1\n2 1",
"output": "0"
},
{
"input": "2 2\n1 3\n2 2",
"output": "3"
},
{
"input": "4 3\n3 10\n2 7\n2 8\n1 1",
"output": "10"
},
{
"input": "5 5\n3 5\n2 6\n3 2\n1 1\n1 6",
"output": "13"
},
{
"input": "6 6\n1 6\n1 4\n1 8\n3 2\n3 2\n2 8",
"output":... | 2,000 | 62,361,600 | 0 | 4,416 | |
284 | Cows and Primitive Roots | [
"implementation",
"math",
"number theory"
] | null | null | The cows have just learned what a primitive root is! Given a prime *p*, a primitive root is an integer *x* (1<=≤<=*x*<=<<=*p*) such that none of integers *x*<=-<=1,<=*x*2<=-<=1,<=...,<=*x**p*<=-<=2<=-<=1 are divisible by *p*, but *x**p*<=-<=1<=-<=1 is.
Unfortunately, computing primitive roots can be time consumin... | The input contains a single line containing an integer *p* (2<=≤<=*p*<=<<=2000). It is guaranteed that *p* is a prime. | Output on a single line the number of primitive roots . | [
"3\n",
"5\n"
] | [
"1\n",
"2\n"
] | The only primitive root <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3722298ba062e95b18705d1253eb4e5d31e3b2d1.png" style="max-width: 100.0%;max-height: 100.0%;"/> is 2.
The primitive roots <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1d85c6a17ef1c42b53cf9... | [
{
"input": "3",
"output": "1"
},
{
"input": "5",
"output": "2"
},
{
"input": "7",
"output": "2"
},
{
"input": "11",
"output": "4"
},
{
"input": "17",
"output": "8"
},
{
"input": "19",
"output": "6"
},
{
"input": "1583",
"output": "672"
... | 92 | 0 | 0 | 4,423 | |
171 | Broken checker | [
"*special",
"brute force"
] | null | null | "This problem is rubbish! There is not statement, and there are only 5 test cases. The problemsetter took liberties with this problem!" — people complained in the comments to one round on Codeforces. And even more... No, wait, the checker for the problem was alright, that's a mercy. | The only line of the input contains an integer between 1 and 5, inclusive. All tests for this problem are different. The contents of the test case doesn't need to be equal to its index. | The only line of the output contains an integer between 1 and 3, inclusive. | [] | [] | This problem has no samples, since there so few test cases. | [
{
"input": "3",
"output": "1"
},
{
"input": "1",
"output": "2"
},
{
"input": "4",
"output": "2"
},
{
"input": "2",
"output": "3"
},
{
"input": "5",
"output": "1"
}
] | 186 | 0 | 0 | 4,426 | |
11 | Jumping Jack | [
"math"
] | B. Jumping Jack | 1 | 64 | Jack is working on his jumping skills recently. Currently he's located at point zero of the number line. He would like to get to the point *x*. In order to train, he has decided that he'll first jump by only one unit, and each subsequent jump will be exactly one longer than the previous one. He can go either left or ri... | The input data consists of only one integer *x* (<=-<=109<=≤<=*x*<=≤<=109). | Output the minimal number of jumps that Jack requires to reach *x*. | [
"2\n",
"6\n",
"0\n"
] | [
"3\n",
"3\n",
"0\n"
] | none | [
{
"input": "2",
"output": "3"
},
{
"input": "6",
"output": "3"
},
{
"input": "0",
"output": "0"
},
{
"input": "-1000000000",
"output": "44723"
},
{
"input": "999961560",
"output": "44720"
},
{
"input": "999961561",
"output": "44721"
},
{
"i... | 92 | 0 | 0 | 4,428 |
524 | Возможно, вы знаете этих людей? | [
"implementation"
] | null | null | Основой любой социальной сети является отношение дружбы между двумя пользователями в том или ином смысле. В одной известной социальной сети дружба симметрична, то есть если *a* является другом *b*, то *b* также является другом *a*.
В этой же сети есть функция, которая демонстрирует множество людей, имеющих высокую ве... | В первой строке следуют два целых числа *m* и *k* (1<=≤<=*m*<=≤<=100, 0<=≤<=*k*<=≤<=100) — количество пар друзей и необходимый процент общих друзей для того, чтобы считаться предполагаемым другом.
В последующих *m* строках записано по два числа *a**i*,<=*b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=109, *a**i*<=≠<=*b**i*), обозна... | Для всех упомянутых людей в порядке возрастания id выведите информацию о предполагаемых друзьях. Информация должна иметь вид "*id*:<= *k* *id*1 *id*2 ... *id**k*", где *id* — это id самого человека, *k* — количество его предполагаемых друзей, а *id*1, *id*2, ..., *id**k* — идентификаторы его предполагаемых друзей в воз... | [
"5 51\n10 23\n23 42\n39 42\n10 39\n39 58\n",
"5 100\n1 2\n1 3\n1 4\n2 3\n2 4\n"
] | [
"10: 1 42\n23: 1 39\n39: 1 23\n42: 1 10\n58: 2 10 42\n",
"1: 0\n2: 0\n3: 1 4\n4: 1 3\n"
] | none | [
{
"input": "5 51\n10 23\n23 42\n39 42\n10 39\n39 58",
"output": "10: 1 42\n23: 1 39\n39: 1 23\n42: 1 10\n58: 2 10 42"
},
{
"input": "5 100\n1 2\n1 3\n1 4\n2 3\n2 4",
"output": "1: 0\n2: 0\n3: 1 4\n4: 1 3"
},
{
"input": "4 1\n1 2\n1 3\n2 3\n4 5",
"output": "1: 0\n2: 0\n3: 0\n4: 0\n5: ... | 93 | 0 | 0 | 4,434 | |
106 | Card Game | [
"implementation"
] | A. Card Game | 2 | 256 | There is a card game called "Durak", which means "Fool" in Russian. The game is quite popular in the countries that used to form USSR. The problem does not state all the game's rules explicitly — you can find them later yourselves if you want.
To play durak you need a pack of 36 cards. Each card has a suit ("S", "H", ... | The first line contains the tramp suit. It is "S", "H", "D" or "C".
The second line contains the description of the two different cards. Each card is described by one word consisting of two symbols. The first symbol stands for the rank ("6", "7", "8", "9", "T", "J", "Q", "K" and "A"), and the second one stands for the... | Print "YES" (without the quotes) if the first cards beats the second one. Otherwise, print "NO" (also without the quotes). | [
"H\nQH 9S\n",
"S\n8D 6D\n",
"C\n7H AS\n"
] | [
"YES\n",
"YES",
"NO"
] | none | [
{
"input": "H\nQH 9S",
"output": "YES"
},
{
"input": "S\n8D 6D",
"output": "YES"
},
{
"input": "C\n7H AS",
"output": "NO"
},
{
"input": "C\nKC 9C",
"output": "YES"
},
{
"input": "D\n7D KD",
"output": "NO"
},
{
"input": "H\n7H KD",
"output": "YES"
... | 92 | 307,200 | 0 | 4,441 |
401 | Team | [
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing ... | The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1. | In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1. | [
"1 2\n",
"4 8\n",
"4 10\n",
"1 5\n"
] | [
"101\n",
"110110110101\n",
"11011011011011\n",
"-1\n"
] | none | [
{
"input": "1 2",
"output": "101"
},
{
"input": "4 8",
"output": "110110110101"
},
{
"input": "4 10",
"output": "11011011011011"
},
{
"input": "1 5",
"output": "-1"
},
{
"input": "3 4",
"output": "1010101"
},
{
"input": "3 10",
"output": "-1"
},
... | 1,000 | 8,294,400 | 0 | 4,444 | |
346 | Lucky Common Subsequence | [
"dp",
"strings"
] | null | null | In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substri... | The input contains three strings in three separate lines: *s*1, *s*2 and *virus* (1<=≤<=|*s*1|,<=|*s*2|,<=|*virus*|<=≤<=100). Each string consists only of uppercase English letters. | Output the longest common subsequence of *s*1 and *s*2 without *virus* as a substring. If there are multiple answers, any of them will be accepted.
If there is no valid common subsequence, output 0. | [
"AJKEQSLOBSROFGZ\nOVGURWZLWVLUXTH\nOZ\n",
"AA\nA\nA\n"
] | [
"ORZ\n",
"0\n"
] | none | [
{
"input": "AJKEQSLOBSROFGZ\nOVGURWZLWVLUXTH\nOZ",
"output": "ORZ"
},
{
"input": "AA\nA\nA",
"output": "0"
},
{
"input": "PWBJTZPQHA\nZJMKLWSROQ\nUQ",
"output": "WQ"
},
{
"input": "QNHRPFYMAAPJDUHBAEXNEEZSTMYHVGQPYKNMVKMBVSVLIYGUVMJHEFLJEPIWFHSLISTGOKRXNMSCXYKMAXBPKCOCNTIRPCU... | 404 | 2,048,000 | -1 | 4,446 | |
789 | Masha and geometric depression | [
"brute force",
"implementation",
"math"
] | null | null | Masha really loves algebra. On the last lesson, her strict teacher Dvastan gave she new exercise.
You are given geometric progression *b* defined by two integers *b*1 and *q*. Remind that a geometric progression is a sequence of integers *b*1,<=*b*2,<=*b*3,<=..., where for each *i*<=><=1 the respective term satisfi... | The first line of input contains four integers *b*1, *q*, *l*, *m* (-109<=≤<=*b*1,<=*q*<=≤<=109, 1<=≤<=*l*<=≤<=109, 1<=≤<=*m*<=≤<=105) — the initial term and the common ratio of progression, absolute value of maximal number that can be written on the board and the number of "bad" integers, respectively.
The second lin... | Print the only integer, meaning the number of progression terms that will be written on the board if it is finite, or "inf" (without quotes) otherwise. | [
"3 2 30 4\n6 14 25 48\n",
"123 1 2143435 4\n123 11 -5453 141245\n",
"123 1 2143435 4\n54343 -13 6 124\n"
] | [
"3",
"0",
"inf"
] | In the first sample case, Masha will write integers 3, 12, 24. Progression term 6 will be skipped because it is a "bad" integer. Terms bigger than 24 won't be written because they exceed *l* by absolute value.
In the second case, Masha won't write any number because all terms are equal 123 and this is a "bad" integer.... | [
{
"input": "3 2 30 4\n6 14 25 48",
"output": "3"
},
{
"input": "123 1 2143435 4\n123 11 -5453 141245",
"output": "0"
},
{
"input": "123 1 2143435 4\n54343 -13 6 124",
"output": "inf"
},
{
"input": "3 2 25 2\n379195692 -69874783",
"output": "4"
},
{
"input": "3 2 3... | 93 | 15,667,200 | 3 | 4,458 | |
992 | Nastya and a Game | [
"brute force",
"implementation",
"math"
] | null | null | Nastya received one more array on her birthday, this array can be used to play a traditional Byteland game on it. However, to play the game the players should first select such a subsegment of the array that , where *p* is the product of all integers on the given array, *s* is their sum, and *k* is a given constant for... | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=2·105, 1<=≤<=*k*<=≤<=105), where *n* is the length of the array and *k* is the constant described above.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=108) — the elements of the array. | In the only line print the number of subsegments such that the ratio between the product and the sum on them is equal to *k*. | [
"1 1\n1\n",
"4 2\n6 3 8 1\n"
] | [
"1\n",
"2\n"
] | In the first example the only subsegment is [1]. The sum equals 1, the product equals 1, so it suits us because <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/627b2899a459d42fe3b2ca04fc812d4132b5f2ca.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
There are two suitable subsegments ... | [
{
"input": "1 1\n1",
"output": "1"
},
{
"input": "4 2\n6 3 8 1",
"output": "2"
},
{
"input": "94 58\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 29 58 1 1 1 29 58 58 1 1 29 1 1 1 1 2 1 58 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 29 1 1 1 1 1 58 1 29 1 1 1 1 1 1 1 1 1 1 1 1 58 1 1 1 ... | 109 | 2,150,400 | -1 | 4,461 | |
20 | Equation | [
"math"
] | B. Equation | 1 | 256 | You are given an equation:
Your task is to find the number of distinct roots of the equation and print all of them in ascending order. | The first line contains three integer numbers *A*,<=*B* and *C* (<=-<=105<=≤<=*A*,<=*B*,<=*C*<=≤<=105). Any coefficient may be equal to 0. | In case of infinite root count print the only integer -1. In case of no roots print the only integer 0. In other cases print the number of root on the first line and the roots on the following lines in the ascending order. Print roots with at least 5 digits after the decimal point. | [
"1 -5 6\n"
] | [
"2\n2.0000000000\n3.0000000000"
] | none | [
{
"input": "1 -5 6",
"output": "2\n2.0000000000\n3.0000000000"
},
{
"input": "1 1 1",
"output": "0"
},
{
"input": "1 2 1",
"output": "1\n-1.0000000000"
},
{
"input": "0 0 0",
"output": "-1"
},
{
"input": "0 -2 1",
"output": "1\n0.5000000000"
},
{
"inpu... | 46 | 0 | -1 | 4,475 |
949 | Zebras | [
"greedy"
] | null | null | Oleg writes down the history of the days he lived. For each day he decides if it was good or bad. Oleg calls a non-empty sequence of days a zebra, if it starts with a bad day, ends with a bad day, and good and bad days are alternating in it. Let us denote bad days as 0 and good days as 1. Then, for example, sequences o... | In the only line of input data there is a non-empty string *s* consisting of characters 0 and 1, which describes the history of Oleg's life. Its length (denoted as |*s*|) does not exceed 200<=000 characters. | If there is a way to divide history into zebra subsequences, in the first line of output you should print an integer *k* (1<=≤<=*k*<=≤<=|*s*|), the resulting number of subsequences. In the *i*-th of following *k* lines first print the integer *l**i* (1<=≤<=*l**i*<=≤<=|*s*|), which is the length of the *i*-th subsequenc... | [
"0010100\n",
"111\n"
] | [
"3\n3 1 3 4\n3 2 5 6\n1 7\n",
"-1\n"
] | none | [
{
"input": "0010100",
"output": "3\n1 1\n5 2 3 4 5 6\n1 7"
},
{
"input": "111",
"output": "-1"
},
{
"input": "0",
"output": "1\n1 1"
},
{
"input": "1",
"output": "-1"
},
{
"input": "0101010101",
"output": "-1"
},
{
"input": "010100001",
"output": "... | 61 | 20,172,800 | 0 | 4,476 | |
914 | Bash and a Tough Math Puzzle | [
"data structures",
"number theory"
] | null | null | Bash likes playing with arrays. He has an array *a*1,<=*a*2,<=... *a**n* of *n* integers. He likes to guess the greatest common divisor (gcd) of different segments of the array. Of course, sometimes the guess is not correct. However, Bash will be satisfied if his guess is almost correct.
Suppose he guesses that the gc... | The first line contains an integer *n* (1<=≤<=*n*<=≤<=5·105) — the size of the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array.
The third line contains an integer *q* (1<=≤<=*q*<=≤<=4·105) — the number of queries.
The next *q* lines descri... | For each query of first type, output "YES" (without quotes) if Bash's guess is almost correct and "NO" (without quotes) otherwise. | [
"3\n2 6 3\n4\n1 1 2 2\n1 1 3 3\n2 1 9\n1 1 3 2\n",
"5\n1 2 3 4 5\n6\n1 1 4 2\n2 3 6\n1 1 4 2\n1 1 5 2\n2 5 10\n1 1 5 2\n"
] | [
"YES\nYES\nNO\n",
"NO\nYES\nNO\nYES\n"
] | In the first sample, the array initially is {2, 6, 3}.
For query 1, the first two numbers already have their gcd as 2.
For query 2, we can achieve a gcd of 3 by changing the first element of the array to 3. Note that the changes made during queries of type 1 are temporary and do not get reflected in the array.
Aft... | [
{
"input": "3\n2 6 3\n4\n1 1 2 2\n1 1 3 3\n2 1 9\n1 1 3 2",
"output": "YES\nYES\nNO"
},
{
"input": "5\n1 2 3 4 5\n6\n1 1 4 2\n2 3 6\n1 1 4 2\n1 1 5 2\n2 5 10\n1 1 5 2",
"output": "NO\nYES\nNO\nYES"
},
{
"input": "1\n1000000000\n1\n1 1 1 1000000000",
"output": "YES"
},
{
"inpu... | 61 | 1,843,200 | 0 | 4,485 | |
350 | Resort | [
"graphs"
] | null | null | Valera's finally decided to go on holiday! He packed up and headed for a ski resort.
Valera's fancied a ski trip but he soon realized that he could get lost in this new place. Somebody gave him a useful hint: the resort has *n* objects (we will consider the objects indexed in some way by integers from 1 to *n*), each ... | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of objects.
The second line contains *n* space-separated integers *type*1,<=*type*2,<=...,<=*type**n* — the types of the objects. If *type**i* equals zero, then the *i*-th object is the mountain. If *type**i* equals one, then the *i*-th object is the... | In the first line print *k* — the maximum possible path length for Valera. In the second line print *k* integers *v*1,<=*v*2,<=...,<=*v**k* — the path. If there are multiple solutions, you can print any of them. | [
"5\n0 0 0 0 1\n0 1 2 3 4\n",
"5\n0 0 1 0 1\n0 1 2 2 4\n",
"4\n1 0 0 0\n2 3 4 2\n"
] | [
"5\n1 2 3 4 5\n",
"2\n4 5\n",
"1\n1\n"
] | none | [
{
"input": "5\n0 0 0 0 1\n0 1 2 3 4",
"output": "5\n1 2 3 4 5"
},
{
"input": "5\n0 0 1 0 1\n0 1 2 2 4",
"output": "2\n4 5"
},
{
"input": "4\n1 0 0 0\n2 3 4 2",
"output": "1\n1"
},
{
"input": "10\n0 0 0 0 0 0 0 0 0 1\n4 0 8 4 7 8 5 5 7 2",
"output": "2\n2 10"
},
{
... | 340 | 19,660,800 | 3 | 4,489 | |
471 | MUH and Important Things | [
"implementation",
"sortings"
] | null | null | It's time polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got down to business. In total, there are *n* tasks for the day and each animal should do each of these tasks. For each task, they have evaluated its difficulty. Also animals decided to do the tasks in ord... | The first line contains integer *n* (1<=≤<=*n*<=≤<=2000) — the number of tasks. The second line contains *n* integers *h*1,<=*h*2,<=...,<=*h**n* (1<=≤<=*h**i*<=≤<=2000), where *h**i* is the difficulty of the *i*-th task. The larger number *h**i* is, the more difficult the *i*-th task is. | In the first line print "YES" (without the quotes), if it is possible to come up with three distinct plans of doing the tasks. Otherwise print in the first line "NO" (without the quotes). If three desired plans do exist, print in the second line *n* distinct integers that represent the numbers of the tasks in the order... | [
"4\n1 3 3 1\n",
"5\n2 4 1 4 8\n"
] | [
"YES\n1 4 2 3 \n4 1 2 3 \n4 1 3 2 \n",
"NO"
] | In the first sample the difficulty of the tasks sets one limit: tasks 1 and 4 must be done before tasks 2 and 3. That gives the total of four possible sequences of doing tasks : [1, 4, 2, 3], [4, 1, 2, 3], [1, 4, 3, 2], [4, 1, 3, 2]. You can print any three of them in the answer.
In the second sample there are only tw... | [
{
"input": "4\n1 3 3 1",
"output": "YES\n1 4 2 3 \n4 1 2 3 \n4 1 3 2 "
},
{
"input": "5\n2 4 1 4 8",
"output": "NO"
},
{
"input": "8\n1 5 4 12 7 2 10 11",
"output": "NO"
},
{
"input": "6\n5 1 2 5 2 4",
"output": "YES\n2 3 5 6 1 4 \n2 5 3 6 1 4 \n2 5 3 6 4 1 "
},
{
... | 124 | 0 | 3 | 4,498 | |
557 | Pasha and Tea | [
"constructive algorithms",
"implementation",
"math",
"sortings"
] | null | null | Pasha decided to invite his friends to a tea party. For that occasion, he has a large teapot with the capacity of *w* milliliters and 2*n* tea cups, each cup is for one of Pasha's friends. The *i*-th cup can hold at most *a**i* milliliters of water.
It turned out that among Pasha's friends there are exactly *n* boys a... | The first line of the input contains two integers, *n* and *w* (1<=≤<=*n*<=≤<=105, 1<=≤<=*w*<=≤<=109) — the number of Pasha's friends that are boys (equal to the number of Pasha's friends that are girls) and the capacity of Pasha's teapot in milliliters.
The second line of the input contains the sequence of integers *... | Print a single real number — the maximum total amount of water in milliliters that Pasha can pour to his friends without violating the given conditions. Your answer will be considered correct if its absolute or relative error doesn't exceed 10<=-<=6. | [
"2 4\n1 1 1 1\n",
"3 18\n4 4 4 2 2 2\n",
"1 5\n2 3\n"
] | [
"3",
"18",
"4.5"
] | Pasha also has candies that he is going to give to girls but that is another task... | [
{
"input": "2 4\n1 1 1 1",
"output": "3.0000000000"
},
{
"input": "3 18\n4 4 4 2 2 2",
"output": "18.0000000000"
},
{
"input": "1 5\n2 3",
"output": "4.5000000000"
},
{
"input": "1 1\n1000000000 1000000000",
"output": "1.0000000000"
},
{
"input": "4 1000000000\n1 ... | 358 | 17,100,800 | 3 | 4,512 | |
147 | Punctuation | [
"implementation",
"strings"
] | null | null | You are given a text that consists of lowercase Latin letters, spaces and punctuation marks (dot, comma, exclamation mark and question mark). A word is defined as a sequence of consecutive Latin letters.
Your task is to add spaces to the text by the following rules:
- if there is no punctuation mark between two word... | The input data contains of a single non-empty line — the text whose length is no more than 10000 characters. | Print the text, edited according to the rules. In this problem you should follow the output format very strictly. For example, extra space at the end of the output line is considered as wrong answer. Note that a newline character at the end of the line doesn't matter. | [
"galileo galilei was an italian physicist ,mathematician,astronomer\n",
"galileo was born in pisa\n"
] | [
"galileo galilei was an italian physicist, mathematician, astronomer\n",
"galileo was born in pisa\n"
] | none | [
{
"input": "galileo galilei was an italian physicist ,mathematician,astronomer",
"output": "galileo galilei was an italian physicist, mathematician, astronomer"
},
{
"input": "galileo was born in pisa",
"output": "galileo was born in pisa"
},
{
"input": "jkhksdfhsdfsf",
"outpu... | 124 | 5,120,000 | 3 | 4,527 | |
612 | The Union of k-Segments | [
"greedy",
"sortings"
] | null | null | You are given *n* segments on the coordinate axis Ox and the number *k*. The point is satisfied if it belongs to at least *k* segments. Find the smallest (by the number of segments) set of segments on the coordinate axis Ox which contains all satisfied points and no others. | The first line contains two integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=106) — the number of segments and the value of *k*.
The next *n* lines contain two integers *l**i*,<=*r**i* (<=-<=109<=≤<=*l**i*<=≤<=*r**i*<=≤<=109) each — the endpoints of the *i*-th segment. The segments can degenerate and intersect each other. ... | First line contains integer *m* — the smallest number of segments.
Next *m* lines contain two integers *a**j*,<=*b**j* (*a**j*<=≤<=*b**j*) — the ends of *j*-th segment in the answer. The segments should be listed in the order from left to right. | [
"3 2\n0 5\n-3 2\n3 8\n",
"3 2\n0 5\n-3 3\n3 8\n"
] | [
"2\n0 2\n3 5\n",
"1\n0 5\n"
] | none | [
{
"input": "3 2\n0 5\n-3 2\n3 8",
"output": "2\n0 2\n3 5"
},
{
"input": "3 2\n0 5\n-3 3\n3 8",
"output": "1\n0 5"
},
{
"input": "1 1\n-1 1",
"output": "1\n-1 1"
},
{
"input": "10 2\n27 96\n-22 45\n-68 26\n46 69\n-91 86\n12 73\n-89 76\n-11 33\n17 47\n-57 78",
"output": "1\... | 4,000 | 218,112,000 | 0 | 4,534 | |
140 | New Year Snowmen | [
"binary search",
"data structures",
"greedy"
] | null | null | As meticulous Gerald sets the table and caring Alexander sends the postcards, Sergey makes snowmen. Each showman should consist of three snowballs: a big one, a medium one and a small one. Sergey's twins help him: they've already made *n* snowballs with radii equal to *r*1, *r*2, ..., *r**n*. To make a snowman, one nee... | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of snowballs. The next line contains *n* integers — the balls' radii *r*1, *r*2, ..., *r**n* (1<=≤<=*r**i*<=≤<=109). The balls' radii can coincide. | Print on the first line a single number *k* — the maximum number of the snowmen. Next *k* lines should contain the snowmen's descriptions. The description of each snowman should consist of three space-separated numbers — the big ball's radius, the medium ball's radius and the small ball's radius. It is allowed to print... | [
"7\n1 2 3 4 5 6 7\n",
"3\n2 2 3\n"
] | [
"2\n3 2 1\n6 5 4\n",
"0\n"
] | none | [
{
"input": "7\n1 2 3 4 5 6 7",
"output": "2\n7 5 3\n6 4 2"
},
{
"input": "3\n2 2 3",
"output": "0"
},
{
"input": "1\n255317",
"output": "0"
},
{
"input": "6\n1 1 2 2 3 3",
"output": "2\n3 2 1\n3 2 1"
},
{
"input": "6\n1 2 2 2 3 3",
"output": "1\n3 2 1"
},
... | 122 | 0 | 0 | 4,547 | |
989 | A Mist of Florescence | [
"constructive algorithms",
"graphs"
] | null | null | "I've been here once," Mino exclaims with delight, "it's breathtakingly amazing."
"What is it like?"
"Look, Kanno, you've got your paintbrush, and I've got my words. Have a try, shall we?"
There are four kinds of flowers in the wood, Amaranths, Begonias, Centaureas and Dianthuses.
The wood can be represented by a ... | The first and only line of input contains four space-separated integers $a$, $b$, $c$ and $d$ ($1 \leq a, b, c, d \leq 100$) — the required number of connected components of Amaranths, Begonias, Centaureas and Dianthuses, respectively. | In the first line, output two space-separated integers $n$ and $m$ ($1 \leq n, m \leq 50$) — the number of rows and the number of columns in the grid respectively.
Then output $n$ lines each consisting of $m$ consecutive English letters, representing one row of the grid. Each letter should be among 'A', 'B', 'C' and '... | [
"5 3 2 1\n",
"50 50 1 1\n",
"1 6 4 5\n"
] | [
"4 7\nDDDDDDD\nDABACAD\nDBABACD\nDDDDDDD",
"4 50\nCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC\nABABABABABABABABABABABABABABABABABABABABABABABABAB\nBABABABABABABABABABABABABABABABABABABABABABABABABA\nDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD",
"7 7\nDDDDDDD\nDDDBDBD\nDDCDCDD\nDBDADBD\nDDCDCDD\nDB... | In the first example, each cell of Amaranths, Begonias and Centaureas forms a connected component, while all the Dianthuses form one. | [
{
"input": "5 3 2 1",
"output": "5 13\nAABABBBBCDDAD\nABAABBBBCDADD\nAAAABBBBCDDAD\nAAAABCBBCDADD\nAAAABBBBCDDDD"
},
{
"input": "50 50 1 1",
"output": "10 50\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\nABABABABABABABABABABABABABABABABABABABABABABABABAA\nBABABABABABABABABABABABABABABABAB... | 77 | 0 | -1 | 4,550 | |
864 | Make a Permutation! | [
"greedy",
"implementation",
"math"
] | null | null | Ivan has an array consisting of *n* elements. Each of the elements is an integer from 1 to *n*.
Recently Ivan learned about permutations and their lexicographical order. Now he wants to change (replace) minimum number of elements in his array in such a way that his array becomes a permutation (i.e. each of the integer... | The first line contains an single integer *n* (2<=≤<=*n*<=≤<=200<=000) — the number of elements in Ivan's array.
The second line contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*) — the description of Ivan's array. | In the first line print *q* — the minimum number of elements that need to be changed in Ivan's array in order to make his array a permutation. In the second line, print the lexicographically minimal permutation which can be obtained from array with *q* changes. | [
"4\n3 2 2 3\n",
"6\n4 5 6 3 2 1\n",
"10\n6 8 4 6 7 1 6 3 4 5\n"
] | [
"2\n1 2 4 3 \n",
"0\n4 5 6 3 2 1 \n",
"3\n2 8 4 6 7 1 9 3 10 5 \n"
] | In the first example Ivan needs to replace number three in position 1 with number one, and number two in position 3 with number four. Then he will get a permutation [1, 2, 4, 3] with only two changed numbers — this permutation is lexicographically minimal among all suitable.
In the second example Ivan does not need t... | [
{
"input": "4\n3 2 2 3",
"output": "2\n1 2 4 3 "
},
{
"input": "6\n4 5 6 3 2 1",
"output": "0\n4 5 6 3 2 1 "
},
{
"input": "10\n6 8 4 6 7 1 6 3 4 5",
"output": "3\n2 8 4 6 7 1 9 3 10 5 "
},
{
"input": "6\n5 5 5 6 4 6",
"output": "3\n1 2 5 3 4 6 "
},
{
"input": "50... | 124 | 0 | 0 | 4,562 | |
835 | Palindromic characteristics | [
"brute force",
"dp",
"hashing",
"strings"
] | null | null | Palindromic characteristics of string *s* with length |*s*| is a sequence of |*s*| integers, where *k*-th number is the total number of non-empty substrings of *s* which are *k*-palindromes.
A string is 1-palindrome if and only if it reads the same backward as forward.
A string is *k*-palindrome (*k*<=><=1) if and... | The first line contains the string *s* (1<=≤<=|*s*|<=≤<=5000) consisting of lowercase English letters. | Print |*s*| integers — palindromic characteristics of string *s*. | [
"abba\n",
"abacaba\n"
] | [
"6 1 0 0 \n",
"12 4 1 0 0 0 0 \n"
] | In the first example 1-palindromes are substring «a», «b», «b», «a», «bb», «abba», the substring «bb» is 2-palindrome. There are no 3- and 4-palindromes here. | [
{
"input": "abba",
"output": "6 1 0 0 "
},
{
"input": "abacaba",
"output": "12 4 1 0 0 0 0 "
},
{
"input": "qqqpvmgd",
"output": "11 3 0 0 0 0 0 0 "
},
{
"input": "wyemcafatp",
"output": "11 1 0 0 0 0 0 0 0 0 "
}
] | 3,000 | 1,024,000 | 0 | 4,572 | |
588 | Duff in Love | [
"math"
] | null | null | Duff is in love with lovely numbers! A positive integer *x* is called lovely if and only if there is no such positive integer *a*<=><=1 such that *a*2 is a divisor of *x*.
Malek has a number store! In his store, he has only divisors of positive integer *n* (and he has all of them). As a birthday present, Malek want... | The first and only line of input contains one integer, *n* (1<=≤<=*n*<=≤<=1012). | Print the answer in one line. | [
"10\n",
"12\n"
] | [
"10\n",
"6\n"
] | In first sample case, there are numbers 1, 2, 5 and 10 in the shop. 10 isn't divisible by any perfect square, so 10 is lovely.
In second sample case, there are numbers 1, 2, 3, 4, 6 and 12 in the shop. 12 is divisible by 4 = 2<sup class="upper-index">2</sup>, so 12 is not lovely, while 6 is indeed lovely. | [
{
"input": "10",
"output": "10"
},
{
"input": "12",
"output": "6"
},
{
"input": "1",
"output": "1"
},
{
"input": "2",
"output": "2"
},
{
"input": "4",
"output": "2"
},
{
"input": "8",
"output": "2"
},
{
"input": "3",
"output": "3"
},
... | 202 | 22,528,000 | 3 | 4,578 | |
75 | Big Maximum Sum | [
"data structures",
"dp",
"greedy",
"implementation",
"math",
"trees"
] | D. Big Maximum Sum | 2 | 256 | Ahmed and Mostafa used to compete together in many programming contests for several years. Their coach Fegla asked them to solve one challenging problem, of course Ahmed was able to solve it but Mostafa couldn't.
This problem is similar to a standard problem but it has a different format and constraints.
In the stand... | The first line contains two integers *n* and *m*, *n* is the number of the small arrays (1<=≤<=*n*<=≤<=50), and *m* is the number of indexes in the big array (1<=≤<=*m*<=≤<=250000). Then follow *n* lines, the *i*-th line starts with one integer *l* which is the size of the *i*-th array (1<=≤<=*l*<=≤<=5000), followed by... | Print one line containing the maximum sum in the big array after formatting it as described above. You must choose at least one element for the sum, i. e. it cannot be empty.
Please, do not use %lld specificator to write 64-bit integers in C++. It is preferred to use cout (also you may use %I64d). | [
"3 4\n3 1 6 -2\n2 3 3\n2 -5 1\n2 3 1 3\n",
"6 1\n4 0 8 -3 -10\n8 3 -2 -5 10 8 -9 -5 -4\n1 0\n1 -3\n3 -8 5 6\n2 9 6\n1\n"
] | [
"9\n",
"8\n"
] | none | [
{
"input": "3 4\n3 1 6 -2\n2 3 3\n2 -5 1\n2 3 1 3",
"output": "9"
},
{
"input": "6 1\n4 0 8 -3 -10\n8 3 -2 -5 10 8 -9 -5 -4\n1 0\n1 -3\n3 -8 5 6\n2 9 6\n1",
"output": "8"
},
{
"input": "4 3\n6 6 8 -5 4 10 -2\n1 -2\n1 -10\n5 -10 10 8 -7 -10\n2 4 1",
"output": "24"
},
{
"input"... | 2,000 | 10,854,400 | 0 | 4,596 |
35 | Fire Again | [
"brute force",
"dfs and similar",
"shortest paths"
] | C. Fire Again | 2 | 64 | After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it *N* rows with *M* trees each were planted and the rows were so neat that one could map it on a system of coordinates so that the *j*-th tree in the *i*-th row would have the coordinates of (*i*,<=*j*). However a terrible thing... | The first input line contains two integers *N*,<=*M* (1<=≤<=*N*,<=*M*<=≤<=2000) — the size of the forest. The trees were planted in all points of the (*x*,<=*y*) (1<=≤<=*x*<=≤<=*N*,<=1<=≤<=*y*<=≤<=*M*) type, *x* and *y* are integers.
The second line contains an integer *K* (1<=≤<=*K*<=≤<=10) — amount of trees, burning... | Output a line with two space-separated integers *x* and *y* — coordinates of the tree that will be the last one to start burning. If there are several such trees, output any. | [
"3 3\n1\n2 2\n",
"3 3\n1\n1 1\n",
"3 3\n2\n1 1 3 3\n"
] | [
"1 1\n",
"3 3\n",
"2 2"
] | none | [
{
"input": "3 3\n1\n2 2",
"output": "1 1"
},
{
"input": "3 3\n1\n1 1",
"output": "3 3"
},
{
"input": "3 3\n2\n1 1 3 3",
"output": "1 3"
},
{
"input": "1 1\n1\n1 1",
"output": "1 1"
},
{
"input": "2 2\n1\n2 2",
"output": "1 1"
},
{
"input": "2 2\n2\n1 1... | 998 | 4,505,600 | 3.716931 | 4,600 |
328 | Sheldon and Ice Pieces | [
"greedy"
] | null | null | Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number *t*. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to... | The first line contains integer *t* (1<=≤<=*t*<=≤<=10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9. | Print the required number of instances. | [
"42\n23454\n",
"169\n12118999\n"
] | [
"2\n",
"1\n"
] | This problem contains very weak pretests. | [
{
"input": "42\n23454",
"output": "2"
},
{
"input": "169\n12118999",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "7\n777",
"output": "3"
},
{
"input": "18\n8118",
"output": "2"
},
{
"input": "33\n33333333",
"output": "4"
},
... | 342 | 409,600 | 0 | 4,602 | |
84 | Toy Army | [
"math",
"number theory"
] | A. Toy Army | 2 | 256 | The hero of our story, Valera, and his best friend Arcady are still in school, and therefore they spend all the free time playing turn-based strategy "GAGA: Go And Go Again". The gameplay is as follows.
There are two armies on the playing field each of which consists of *n* men (*n* is always even). The current playe... | The input data consist of a single integer *n* (2<=≤<=*n*<=≤<=108, *n* is even). Please note that before the game starts there are 2*n* soldiers on the fields. | Print a single number — a maximum total number of soldiers that could be killed in the course of the game in three turns. | [
"2\n",
"4\n"
] | [
"3\n",
"6\n"
] | The first sample test:
1) Valera's soldiers 1 and 2 shoot at Arcady's soldier 1.
2) Arcady's soldier 2 shoots at Valera's soldier 1.
3) Valera's soldier 1 shoots at Arcady's soldier 2.
There are 3 soldiers killed in total: Valera's soldier 1 and Arcady's soldiers 1 and 2. | [
{
"input": "2",
"output": "3"
},
{
"input": "4",
"output": "6"
},
{
"input": "6",
"output": "9"
},
{
"input": "8",
"output": "12"
},
{
"input": "10",
"output": "15"
},
{
"input": "140",
"output": "210"
},
{
"input": "500",
"output": "75... | 0 | 0 | -1 | 4,605 |
168 | Wizards and Minimal Spell | [
"implementation",
"strings"
] | null | null | Let's dive into one of the most interesting areas of magic — writing spells. Learning this exciting but challenging science is very troublesome, so now you will not learn the magic words, but only get to know the basic rules of writing spells.
Each spell consists of several lines. The line, whose first non-space chara... | The input contains multiple lines. All characters in the lines have codes from 32 to 127 (inclusive). Please note that the lines may begin with or end with one or more spaces. The size of the input does not exceed 1048576 (<==<=220) bytes. Newlines are included in this size.
In the Windows operating system used on the... | Print the text of the spell where all extra characters are deleted. Please note that each output line should be followed by a newline.
Please be careful: your answers will be validated by comparing them to the jury's answer byte-by-byte. So, all spaces and newlines matter. | [
"# include <cstdio>\n\nusing namespace std;\n\nint main ( ){\nputs(\"Hello # World\"); #\n#\n}\n",
"#\n\n#\n"
] | [
"# include <cstdio>\nusingnamespacestd;intmain(){puts(\"Hello#World\");#\n#\n}\n",
"#\n\n#\n"
] | In the first sample the amplifying lines are lines 1 and 7. So, lines 2 to 6 are concatenated to each other, all spaces are deleted from them.
In the second sample the amplifying lines are lines 1 and 3. So, no lines are concatenated to each other. | [
{
"input": " # include <cstdio>\n\nusing namespace std;\n\nint main ( ){\nputs(\"Hello # World\"); #\n#\n}",
"output": " # include <cstdio>\nusingnamespacestd;intmain(){puts(\"Hello#World\");#\n#\n}"
},
{
"input": "#\n\n#",
"output": "#\n\n#"
},
{
"input": "#\n \n#",
"... | 186 | 0 | 0 | 4,611 | |
911 | Nearest Minimums | [
"implementation"
] | null | null | You are given an array of *n* integer numbers *a*0,<=*a*1,<=...,<=*a**n*<=-<=1. Find the distance between two closest (nearest) minimums in it. It is guaranteed that in the array a minimum occurs at least two times. | The first line contains positive integer *n* (2<=≤<=*n*<=≤<=105) — size of the given array. The second line contains *n* integers *a*0,<=*a*1,<=...,<=*a**n*<=-<=1 (1<=≤<=*a**i*<=≤<=109) — elements of the array. It is guaranteed that in the array a minimum occurs at least two times. | Print the only number — distance between two nearest minimums in the array. | [
"2\n3 3\n",
"3\n5 6 5\n",
"9\n2 1 3 5 4 1 2 3 1\n"
] | [
"1\n",
"2\n",
"3\n"
] | none | [
{
"input": "2\n3 3",
"output": "1"
},
{
"input": "3\n5 6 5",
"output": "2"
},
{
"input": "9\n2 1 3 5 4 1 2 3 1",
"output": "3"
},
{
"input": "6\n4 6 7 8 6 4",
"output": "5"
},
{
"input": "2\n1000000000 1000000000",
"output": "1"
},
{
"input": "42\n1 1 ... | 2,000 | 1,126,400 | 0 | 4,612 | |
598 | Tricky Sum | [
"math"
] | null | null | In this problem you are to calculate the sum of all integers from 1 to *n*, but you should take all powers of two with minus in the sum.
For example, for *n*<==<=4 the sum is equal to <=-<=1<=-<=2<=+<=3<=-<=4<==<=<=-<=4, because 1, 2 and 4 are 20, 21 and 22 respectively.
Calculate the answer for *t* values of *n*. | The first line of the input contains a single integer *t* (1<=≤<=*t*<=≤<=100) — the number of values of *n* to be processed.
Each of next *t* lines contains a single integer *n* (1<=≤<=*n*<=≤<=109). | Print the requested sum for each of *t* integers *n* given in the input. | [
"2\n4\n1000000000\n"
] | [
"-4\n499999998352516354\n"
] | The answer for the first sample is explained in the statement. | [
{
"input": "2\n4\n1000000000",
"output": "-4\n499999998352516354"
},
{
"input": "10\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10",
"output": "-1\n-3\n0\n-4\n1\n7\n14\n6\n15\n25"
},
{
"input": "10\n10\n9\n47\n33\n99\n83\n62\n1\n100\n53",
"output": "25\n15\n1002\n435\n4696\n3232\n1827\n-1\n4796\n130... | 46 | 0 | 3 | 4,619 | |
40 | Interesting Sequence | [
"math"
] | D. Interesting Sequence | 3 | 256 | Berland scientists noticed long ago that the world around them depends on Berland population. Due to persistent research in this area the scientists managed to find out that the Berland chronology starts from the moment when the first two people came to that land (it is considered to have happened in the first year). A... | The first line contains integer *A* (1<=≤<=*A*<=<<=10300). It is guaranteed that the number doesn't contain leading zeros. | On the first output line print YES, if there could be a year in which the total population of the country equaled *A*, otherwise print NO.
If the answer is YES, then you also have to print number *k* — the number of years in which the population could equal *A*. On the next line you have to output precisely *k* space... | [
"2\n",
"3\n",
"13\n",
"1729\n"
] | [
"YES\n1\n1\n0\n",
"NO\n",
"YES\n1\n2\n0\n",
"YES\n1\n4\n1\n156\n"
] | none | [
{
"input": "2",
"output": "YES\n1\n1\n0"
},
{
"input": "3",
"output": "NO"
},
{
"input": "13",
"output": "YES\n1\n2\n0"
},
{
"input": "1729",
"output": "YES\n1\n4\n1\n156"
},
{
"input": "1",
"output": "NO"
},
{
"input": "156",
"output": "YES\n1\n4\... | 404 | 1,126,400 | 0 | 4,622 |
171 | MYSTERIOUS LANGUAGE | [
"*special"
] | null | null | You are given a mysterious language (codenamed "Secret") available in "Custom Test" tab. Find out what this language is and write a program which outputs its name. Note that the program must be written in this language. | This program has only one test, and it's empty (it doesn't give your program anything to read). | Output the name of the mysterious language. | [] | [] | none | [
{
"input": "1",
"output": "INTERCAL"
}
] | 0 | 0 | -1 | 4,636 | |
952 | Cheese Board | [] | null | null | Not to be confused with [chessboard](https://en.wikipedia.org/wiki/Chessboard). | The first line of input contains a single integer *N* (1<=≤<=*N*<=≤<=100) — the number of cheeses you have.
The next *N* lines describe the cheeses you have. Each line contains two space-separated strings: the name of the cheese and its type. The name is a string of lowercase English letters between 1 and 10 character... | Output a single number. | [
"9\nbrie soft\ncamembert soft\nfeta soft\ngoat soft\nmuenster soft\nasiago hard\ncheddar hard\ngouda hard\nswiss hard\n",
"6\nparmesan hard\nemmental hard\nedam hard\ncolby hard\ngruyere hard\nasiago hard\n"
] | [
"3\n",
"4\n"
] | none | [
{
"input": "9\nbrie soft\ncamembert soft\nfeta soft\ngoat soft\nmuenster soft\nasiago hard\ncheddar hard\ngouda hard\nswiss hard",
"output": "3"
},
{
"input": "6\nparmesan hard\nemmental hard\nedam hard\ncolby hard\ngruyere hard\nasiago hard",
"output": "4"
},
{
"input": "9\ngorgonzola s... | 46 | 0 | 3 | 4,641 | |
0 | none | [
"none"
] | null | null | This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden number — an integer from interval [2,<=100]. Your task is to say if the hidden number is prime or composite.
Integer *x*<=><=1 is called prime if it has exactly two d... | After each query you should read one string from the input. It will be "yes" if the printed integer is a divisor of the hidden number, and "no" otherwise. | Up to 20 times you can ask a query — print an integer from interval [2,<=100] in one line. You have to both print the end-of-line character and flush the output. After flushing you should read a response from the input.
In any moment you can print the answer "prime" or "composite" (without the quotes). After that, flu... | [
"yes\nno\nyes\n",
"no\nyes\nno\nno\nno\n"
] | [
"2\n80\n5\ncomposite\n",
"58\n59\n78\n78\n2\nprime\n"
] | The hidden number in the first query is 30. In a table below you can see a better form of the provided example of the communication process.
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/ea790051c34ea7d2761cd9b096412ca7c647a173.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The hi... | [
{
"input": "30",
"output": "composite 4"
},
{
"input": "59",
"output": "prime 15"
},
{
"input": "2",
"output": "prime 16"
},
{
"input": "7",
"output": "prime 16"
},
{
"input": "9",
"output": "composite 3"
},
{
"input": "13",
"output": "prime 15"
... | 77 | 0 | 3 | 4,643 | |
385 | Bear and Prime Numbers | [
"binary search",
"brute force",
"data structures",
"dp",
"implementation",
"math",
"number theory"
] | null | null | Recently, the bear started studying data structures and faced the following problem.
You are given a sequence of integers *x*1,<=*x*2,<=...,<=*x**n* of length *n* and *m* queries, each of them is characterized by two integers *l**i*,<=*r**i*. Let's introduce *f*(*p*) to represent the number of such indexes *k*, that *... | The first line contains integer *n* (1<=≤<=*n*<=≤<=106). The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (2<=≤<=*x**i*<=≤<=107). The numbers are not necessarily distinct.
The third line contains integer *m* (1<=≤<=*m*<=≤<=50000). Each of the following *m* lines contains a pair of space-separated integ... | Print *m* integers — the answers to the queries on the order the queries appear in the input. | [
"6\n5 5 7 10 14 15\n3\n2 11\n3 12\n4 4\n",
"7\n2 3 5 7 11 4 8\n2\n8 10\n2 123\n"
] | [
"9\n7\n0\n",
"0\n7\n"
] | Consider the first sample. Overall, the first sample has 3 queries.
1. The first query *l* = 2, *r* = 11 comes. You need to count *f*(2) + *f*(3) + *f*(5) + *f*(7) + *f*(11) = 2 + 1 + 4 + 2 + 0 = 9. 1. The second query comes *l* = 3, *r* = 12. You need to count *f*(3) + *f*(5) + *f*(7) + *f*(11) = 1 + 4 + 2 + 0 = 7.... | [
{
"input": "6\n5 5 7 10 14 15\n3\n2 11\n3 12\n4 4",
"output": "9\n7\n0"
},
{
"input": "7\n2 3 5 7 11 4 8\n2\n8 10\n2 123",
"output": "0\n7"
},
{
"input": "9\n50 50 50 50 50 50 50 50 50\n7\n20 20\n8 13\n13 13\n6 14\n3 5\n15 17\n341 1792",
"output": "0\n0\n0\n0\n9\n0\n0"
},
{
"... | 2,000 | 83,558,400 | 0 | 4,645 | |
787 | Not Afraid | [
"greedy",
"implementation",
"math"
] | null | null | Since the giant heads have appeared in the sky all humanity is in danger, so all Ricks and Mortys from all parallel universes are gathering in groups to find a solution to get rid of them.
There are *n* parallel universes participating in this event (*n* Ricks and *n* Mortys). I. e. each of *n* universes has one Rick... | The first line of input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=104) — number of universes and number of groups respectively.
The next *m* lines contain the information about the groups. *i*-th of them first contains an integer *k* (number of times someone joined *i*-th group, *k*<=><=0) followed by ... | In a single line print the answer to Summer's question. Print "YES" if she should cancel the event and "NO" otherwise. | [
"4 2\n1 -3\n4 -2 3 2 -3\n",
"5 2\n5 3 -2 1 -1 5\n3 -5 2 5\n",
"7 2\n3 -1 6 7\n7 -5 4 2 4 7 -3 4\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | In the first sample testcase, 1st group only contains the Rick from universe number 3, so in case he's a traitor, then all members of this group are traitors and so Summer should cancel the event. | [
{
"input": "4 2\n1 -3\n4 -2 3 2 -3",
"output": "YES"
},
{
"input": "5 2\n5 3 -2 1 -1 5\n3 -5 2 5",
"output": "NO"
},
{
"input": "7 2\n3 -1 6 7\n7 -5 4 2 4 7 -3 4",
"output": "YES"
},
{
"input": "2 1\n2 -2 2",
"output": "NO"
},
{
"input": "7 7\n1 -2\n1 6\n2 7 -6\n2... | 46 | 1,433,600 | 3 | 4,650 | |
835 | Star sky | [
"dp",
"implementation"
] | null | null | The Cartesian coordinate system is set in the sky. There you can see *n* stars, the *i*-th has coordinates (*x**i*, *y**i*), a maximum brightness *c*, equal for all stars, and an initial brightness *s**i* (0<=≤<=*s**i*<=≤<=*c*).
Over time the stars twinkle. At moment 0 the *i*-th star has brightness *s**i*. Let at mom... | The first line contains three integers *n*, *q*, *c* (1<=≤<=*n*,<=*q*<=≤<=105, 1<=≤<=*c*<=≤<=10) — the number of the stars, the number of the views and the maximum brightness of the stars.
The next *n* lines contain the stars description. The *i*-th from these lines contains three integers *x**i*, *y**i*, *s**i* (1<=≤... | For each view print the total brightness of the viewed stars. | [
"2 3 3\n1 1 1\n3 2 0\n2 1 1 2 2\n0 2 1 4 5\n5 1 1 5 5\n",
"3 4 5\n1 1 2\n2 3 0\n3 3 1\n0 1 1 100 100\n1 2 2 4 4\n2 2 1 4 7\n1 50 50 51 51\n"
] | [
"3\n0\n3\n",
"3\n3\n5\n0\n"
] | Let's consider the first example.
At the first view, you can see only the first star. At moment 2 its brightness is 3, so the answer is 3.
At the second view, you can see only the second star. At moment 0 its brightness is 0, so the answer is 0.
At the third view, you can see both stars. At moment 5 brightness of th... | [
{
"input": "2 3 3\n1 1 1\n3 2 0\n2 1 1 2 2\n0 2 1 4 5\n5 1 1 5 5",
"output": "3\n0\n3"
},
{
"input": "3 4 5\n1 1 2\n2 3 0\n3 3 1\n0 1 1 100 100\n1 2 2 4 4\n2 2 1 4 7\n1 50 50 51 51",
"output": "3\n3\n5\n0"
}
] | 623 | 10,854,400 | 3 | 4,655 | |
656 | Scrambled | [
"*special",
"implementation"
] | null | null | Btoh yuo adn yuor roomatme lhoate wianshg disehs, btu stlil sdmoeboy msut peorrfm tihs cohre dialy. Oen dya yuo decdie to idourtcne smoe syestm. Yuor rmmotaoe sstgegus teh fooniwllg dael. Yuo argee on tow arayrs of ientgres M adn R, nmebur upmicnog dyas (induiclng teh cunrret oen) wtih sicsescuve irnegets (teh ceurrnt ... | The first line of input contains a single integer N (1<=≤<=*N*<=≤<=16).
The second and third lines of input contain N integers each, all between 0 and 16, inclusive, and represent arrays M and R, respectively. All *M*[*i*] are positive, for each *i* *R*[*i*]<=<<=*M*[*i*]. | Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10<=-<=4. | [
"1\n2\n0\n",
"2\n2 3\n1 0\n"
] | [
"0.500000\n",
"0.666667\n"
] | none | [
{
"input": "1\n2\n0",
"output": "0.500000"
},
{
"input": "2\n2 3\n1 0",
"output": "0.666667"
},
{
"input": "3\n2 4 4\n0 1 3",
"output": "1.000000"
},
{
"input": "1\n16\n15",
"output": "0.062500"
},
{
"input": "16\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n0 1 2 3 4 ... | 296 | 6,041,600 | 3 | 4,660 | |
570 | Replacement | [
"constructive algorithms",
"data structures",
"implementation"
] | null | null | Daniel has a string *s*, consisting of lowercase English letters and period signs (characters '.'). Let's define the operation of replacement as the following sequence of steps: find a substring ".." (two consecutive periods) in string *s*, of all occurrences of the substring let's choose the first one, and replace thi... | The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=300<=000) the length of the string and the number of queries.
The second line contains string *s*, consisting of *n* lowercase English letters and period signs.
The following *m* lines contain the descriptions of queries. The *i*-th line contains i... | Print *m* numbers, one per line, the *i*-th of these numbers must be equal to the value of *f*(*s*) after performing the *i*-th assignment. | [
"10 3\n.b..bz....\n1 h\n3 c\n9 f\n",
"4 4\n.cc.\n2 .\n3 .\n2 a\n1 a\n"
] | [
"4\n3\n1\n",
"1\n3\n1\n1\n"
] | Note to the first sample test (replaced periods are enclosed in square brackets).
The original string is ".b..bz....".
- after the first query *f*(hb..bz....) = 4 ("hb[..]bz...." → "hb.bz[..].." → "hb.bz[..]." → "hb.bz[..]" → "hb.bz.")- after the second query *f*(hbс.bz....) = 3 ("hbс.bz[..].." → "hb... | [
{
"input": "10 3\n.b..bz....\n1 h\n3 c\n9 f",
"output": "4\n3\n1"
},
{
"input": "4 4\n.cc.\n2 .\n3 .\n2 a\n1 a",
"output": "1\n3\n1\n1"
},
{
"input": "3 3\n...\n1 .\n2 a\n3 b",
"output": "2\n0\n0"
},
{
"input": "5 1\n.....\n5 z",
"output": "3"
},
{
"input": "1 5\n... | 46 | 0 | 0 | 4,663 | |
19 | Checkout Assistant | [
"dp"
] | B. Checkout Assistant | 1 | 256 | Bob came to a cash & carry store, put *n* items into his trolley, and went to the checkout counter to pay. Each item is described by its price *c**i* and time *t**i* in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from... | The first input line contains number *n* (1<=≤<=*n*<=≤<=2000). In each of the following *n* lines each item is described by a pair of numbers *t**i*, *c**i* (0<=≤<=*t**i*<=≤<=2000,<=1<=≤<=*c**i*<=≤<=109). If *t**i* is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item *i*. | Output one number — answer to the problem: what is the minimum amount of money that Bob will have to pay. | [
"4\n2 10\n0 20\n1 5\n1 3\n",
"3\n0 1\n0 10\n0 100\n"
] | [
"8\n",
"111\n"
] | none | [
{
"input": "4\n2 10\n0 20\n1 5\n1 3",
"output": "8"
},
{
"input": "3\n0 1\n0 10\n0 100",
"output": "111"
},
{
"input": "2\n0 635254032\n0 75159864",
"output": "710413896"
},
{
"input": "2\n0 861438648\n1 469893784",
"output": "469893784"
},
{
"input": "2\n2 876232... | 109 | 307,200 | 0 | 4,669 |
888 | K-Dominant Character | [
"binary search",
"implementation",
"two pointers"
] | null | null | You are given a string *s* consisting of lowercase Latin letters. Character *c* is called *k*-dominant iff each substring of *s* with length at least *k* contains this character *c*.
You have to find minimum *k* such that there exists at least one *k*-dominant character. | The first line contains string *s* consisting of lowercase Latin letters (1<=≤<=|*s*|<=≤<=100000). | Print one number — the minimum value of *k* such that there exists at least one *k*-dominant character. | [
"abacaba\n",
"zzzzz\n",
"abcde\n"
] | [
"2\n",
"1\n",
"3\n"
] | none | [
{
"input": "abacaba",
"output": "2"
},
{
"input": "zzzzz",
"output": "1"
},
{
"input": "abcde",
"output": "3"
},
{
"input": "bcaccacaaabaacaabaaabcbbcbcaacacbcbaaaacccacbbcbaabcbacaacbabacacacaccbbccbcbacbbbbccccabcabaaab",
"output": "8"
},
{
"input": "daabcdabbab... | 2,000 | 10,956,800 | 0 | 4,678 | |
216 | Forming Teams | [
"dfs and similar",
"implementation"
] | null | null | One day *n* students come to the stadium. They want to play football, and for that they need to split into teams, the teams must have an equal number of people.
We know that this group of people has archenemies. Each student has at most two archenemies. Besides, if student *A* is an archenemy to student *B*, then stud... | The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=100, 1<=≤<=*m*<=≤<=100) — the number of students and the number of pairs of archenemies correspondingly.
Next *m* lines describe enmity between students. Each enmity is described as two numbers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*, *a**i*<=≠<=... | Print a single integer — the minimum number of students you will have to send to the bench in order to start the game. | [
"5 4\n1 2\n2 4\n5 3\n1 4\n",
"6 2\n1 4\n3 4\n",
"6 6\n1 2\n2 3\n3 1\n4 5\n5 6\n6 4\n"
] | [
"1",
"0",
"2"
] | none | [
{
"input": "5 4\n1 2\n2 4\n5 3\n1 4",
"output": "1"
},
{
"input": "6 2\n1 4\n3 4",
"output": "0"
},
{
"input": "6 6\n1 2\n2 3\n3 1\n4 5\n5 6\n6 4",
"output": "2"
},
{
"input": "5 1\n1 2",
"output": "1"
},
{
"input": "8 8\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 1",
... | 592 | 31,539,200 | 0 | 4,682 | |
676 | Nicholas and Permutation | [
"constructive algorithms",
"implementation"
] | null | null | Nicholas has an array *a* that contains *n* distinct integers from 1 to *n*. In other words, Nicholas has a permutation of size *n*.
Nicholas want the minimum element (integer 1) and the maximum element (integer *n*) to be as far as possible from each other. He wants to perform exactly one swap in order to maximize th... | The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100) — the size of the permutation.
The second line of the input contains *n* distinct integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*), where *a**i* is equal to the element at the *i*-th position. | Print a single integer — the maximum possible distance between the minimum and the maximum elements Nicholas can achieve by performing exactly one swap. | [
"5\n4 5 1 3 2\n",
"7\n1 6 5 3 4 7 2\n",
"6\n6 5 4 3 2 1\n"
] | [
"3\n",
"6\n",
"5\n"
] | In the first sample, one may obtain the optimal answer by swapping elements 1 and 2.
In the second sample, the minimum and the maximum elements will be located in the opposite ends of the array if we swap 7 and 2.
In the third sample, the distance between the minimum and the maximum elements is already maximum possib... | [
{
"input": "5\n4 5 1 3 2",
"output": "3"
},
{
"input": "7\n1 6 5 3 4 7 2",
"output": "6"
},
{
"input": "6\n6 5 4 3 2 1",
"output": "5"
},
{
"input": "2\n1 2",
"output": "1"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "3\n2 3 1",
"output": "... | 62 | 0 | 0 | 4,691 | |
289 | Polo the Penguin and Segments | [
"brute force",
"implementation"
] | null | null | Little penguin Polo adores integer segments, that is, pairs of integers [*l*; *r*] (*l*<=≤<=*r*).
He has a set that consists of *n* integer segments: [*l*1; *r*1],<=[*l*2; *r*2],<=...,<=[*l**n*; *r**n*]. We know that no two segments of this set intersect. In one move Polo can either widen any segment of the set 1 uni... | The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=105). Each of the following *n* lines contain a segment as a pair of integers *l**i* and *r**i* (<=-<=105<=≤<=*l**i*<=≤<=*r**i*<=≤<=105), separated by a space.
It is guaranteed that no two segments intersect. In other words, for any two integers *i*... | In a single line print a single integer — the answer to the problem. | [
"2 3\n1 2\n3 4\n",
"3 7\n1 2\n3 3\n4 7\n"
] | [
"2\n",
"0\n"
] | none | [
{
"input": "2 3\n1 2\n3 4",
"output": "2"
},
{
"input": "3 7\n1 2\n3 3\n4 7",
"output": "0"
},
{
"input": "3 7\n1 10\n11 47\n74 128",
"output": "3"
},
{
"input": "5 4\n1 1\n2 2\n3 3\n4 4\n5 5",
"output": "3"
},
{
"input": "7 4\n2 2\n-1 -1\n0 1\n7 8\n-3 -2\n9 9\n4 ... | 654 | 0 | 3 | 4,694 | |
319 | Psychos in a Line | [
"data structures",
"implementation"
] | null | null | There are *n* psychos standing in a line. Each psycho is assigned a unique integer from 1 to *n*. At each step every psycho who has an id greater than the psycho to his right (if exists) kills his right neighbor in the line. Note that a psycho might kill and get killed at the same step.
You're given the initial arran... | The first line of input contains integer *n* denoting the number of psychos, (1<=≤<=*n*<=≤<=105). In the second line there will be a list of *n* space separated distinct integers each in range 1 to *n*, inclusive — ids of the psychos in the line from left to right. | Print the number of steps, so that the line remains the same afterward. | [
"10\n10 9 7 8 6 5 3 4 2 1\n",
"6\n1 2 3 4 5 6\n"
] | [
"2\n",
"0\n"
] | In the first sample line of the psychos transforms as follows: [10 9 7 8 6 5 3 4 2 1] → [10 8 4] → [10]. So, there are two steps. | [
{
"input": "10\n10 9 7 8 6 5 3 4 2 1",
"output": "2"
},
{
"input": "6\n1 2 3 4 5 6",
"output": "0"
},
{
"input": "6\n6 5 4 3 2 1",
"output": "1"
},
{
"input": "10\n10 7 4 2 5 8 9 6 3 1",
"output": "4"
},
{
"input": "15\n15 9 5 10 7 11 14 6 2 3 12 1 8 13 4",
"o... | 0 | 0 | -1 | 4,695 | |
36 | Fractal | [
"implementation"
] | B. Fractal | 2 | 64 | Ever since Kalevitch, a famous Berland abstractionist, heard of fractals, he made them the main topic of his canvases. Every morning the artist takes a piece of graph paper and starts with making a model of his future canvas. He takes a square as big as *n*<=×<=*n* squares and paints some of them black. Then he takes a... | The first line contains integers *n* and *k* (2<=≤<=*n*<=≤<=3, 1<=≤<=*k*<=≤<=5), where *k* is the amount of steps of the algorithm. Each of the following *n* lines contains *n* symbols that determine the model. Symbol «.» stands for a white square, whereas «*» stands for a black one. It is guaranteed that the model has... | Output a matrix *n**k*<=×<=*n**k* which is what a picture should look like after *k* steps of the algorithm. | [
"2 3\n.*\n..\n",
"3 2\n.*.\n***\n.*.\n"
] | [
".*******\n..******\n.*.*****\n....****\n.***.***\n..**..**\n.*.*.*.*\n........\n",
".*.***.*.\n*********\n.*.***.*.\n*********\n*********\n*********\n.*.***.*.\n*********\n.*.***.*.\n"
] | none | [
{
"input": "2 3\n.*\n..",
"output": ".*******\n..******\n.*.*****\n....****\n.***.***\n..**..**\n.*.*.*.*\n........"
},
{
"input": "3 2\n.*.\n***\n.*.",
"output": ".*.***.*.\n*********\n.*.***.*.\n*********\n*********\n*********\n.*.***.*.\n*********\n.*.***.*."
},
{
"input": "2 1\n..\n.... | 218 | 921,600 | 3.938634 | 4,702 |
402 | Trees in a Row | [
"brute force",
"implementation"
] | null | null | The Queen of England has *n* trees growing in a row in her garden. At that, the *i*-th (1<=≤<=*i*<=≤<=*n*) tree from the left has height *a**i* meters. Today the Queen decided to update the scenery of her garden. She wants the trees' heights to meet the condition: for all *i* (1<=≤<=*i*<=<<=*n*), *a**i*<=+<=1<=-<=*a... | The first line contains two space-separated integers: *n*, *k* (1<=≤<=*n*,<=*k*<=≤<=1000). The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000) — the heights of the trees in the row. | In the first line print a single integer *p* — the minimum number of minutes the gardener needs. In the next *p* lines print the description of his actions.
If the gardener needs to increase the height of the *j*-th (1<=≤<=*j*<=≤<=*n*) tree from the left by *x* (*x*<=≥<=1) meters, then print in the corresponding line... | [
"4 1\n1 2 1 5\n",
"4 1\n1 2 3 4\n"
] | [
"2\n+ 3 2\n- 4 1\n",
"0\n"
] | none | [
{
"input": "4 1\n1 2 1 5",
"output": "2\n+ 3 2\n- 4 1"
},
{
"input": "4 1\n1 2 3 4",
"output": "0"
},
{
"input": "50 1\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50",
"output": "0"
},
... | 46 | 0 | -1 | 4,703 | |
567 | Geometric Progression | [
"binary search",
"data structures",
"dp"
] | null | null | Polycarp loves geometric progressions very much. Since he was only three years old, he loves only the progressions of length three. He also has a favorite integer *k* and a sequence *a*, consisting of *n* integers.
He wants to know how many subsequences of length three can be selected from *a*, so that they form a geo... | The first line of the input contains two integers, *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=2·105), showing how many numbers Polycarp's sequence has and his favorite number.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109) — elements of the sequence. | Output a single number — the number of ways to choose a subsequence of length three, such that it forms a geometric progression with a common ratio *k*. | [
"5 2\n1 1 2 2 4\n",
"3 1\n1 1 1\n",
"10 3\n1 2 6 2 3 6 9 18 3 9\n"
] | [
"4",
"1",
"6"
] | In the first sample test the answer is four, as any of the two 1s can be chosen as the first element, the second element can be any of the 2s, and the third element of the subsequence must be equal to 4. | [
{
"input": "5 2\n1 1 2 2 4",
"output": "4"
},
{
"input": "3 1\n1 1 1",
"output": "1"
},
{
"input": "10 3\n1 2 6 2 3 6 9 18 3 9",
"output": "6"
},
{
"input": "20 2\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20",
"output": "5"
},
{
"input": "5 3\n5 15 15 15 45... | 233 | 38,195,200 | 3 | 4,721 | |
18 | Platforms | [
"brute force",
"math"
] | B. Platforms | 2 | 64 | In one one-dimensional world there are *n* platforms. Platform with index *k* (platforms are numbered from 1) is a segment with coordinates [(*k*<=-<=1)*m*,<=(*k*<=-<=1)*m*<=+<=*l*], and *l*<=<<=*m*. Grasshopper Bob starts to jump along the platforms from point 0, with each jump he moves exactly *d* units right. Fin... | The first input line contains 4 integer numbers *n*, *d*, *m*, *l* (1<=≤<=*n*,<=*d*,<=*m*,<=*l*<=≤<=106,<=*l*<=<<=*m*) — respectively: amount of platforms, length of the grasshopper Bob's jump, and numbers *m* and *l* needed to find coordinates of the *k*-th platform: [(*k*<=-<=1)*m*,<=(*k*<=-<=1)*m*<=+<=*l*]. | Output the coordinates of the point, where the grosshopper will fall down. Don't forget that if Bob finds himself on the platform edge, he doesn't fall down. | [
"2 2 5 3\n",
"5 4 11 8\n"
] | [
"4\n",
"20\n"
] | none | [
{
"input": "2 2 5 3",
"output": "4"
},
{
"input": "5 4 11 8",
"output": "20"
},
{
"input": "228385 744978 699604 157872",
"output": "2979912"
},
{
"input": "773663 427904 329049 243542",
"output": "1283712"
},
{
"input": "835293 627183 442142 361649",
"output"... | 966 | 50,892,800 | -1 | 4,726 |
0 | none | [
"none"
] | null | null | Two players play the following game. Initially, the players have a knife and a rectangular sheet of paper, divided into equal square grid cells of unit size. The players make moves in turn, the player who can't make a move loses. In one move, a player can take the knife and cut the paper along any segment of the grid l... | The first line contains three integers *n*, *m*, *k* (1<=≤<=*n*,<=*m*<=≤<=109,<=0<=≤<=*k*<=≤<=105) — the sizes of the piece of paper and the number of cuts. Then follow *k* lines, each containing 4 integers *xb**i*,<=*yb**i*,<=*xe**i*,<=*ye**i* (0<=≤<=*xb**i*,<=*xe**i*<=≤<=*n*,<=0<=≤<=*yb**i*,<=*ye**i*<=≤<=*m*) — the c... | If the second player wins, print "SECOND". Otherwise, in the first line print "FIRST", and in the second line print any winning move of the first player (the coordinates of the cut ends, follow input format to print them). | [
"2 1 0\n",
"2 2 4\n0 1 2 1\n0 1 2 1\n1 2 1 0\n1 1 1 2\n"
] | [
"FIRST\n1 0 1 1\n",
"SECOND\n"
] | none | [] | 92 | 0 | 0 | 4,737 | |
821 | Okabe and Banana Trees | [
"brute force",
"math"
] | null | null | Okabe needs bananas for one of his experiments for some strange reason. So he decides to go to the forest and cut banana trees.
Consider the point (*x*,<=*y*) in the 2D plane such that *x* and *y* are integers and 0<=≤<=*x*,<=*y*. There is a tree in such a point, and it has *x*<=+<=*y* bananas. There are no trees nor ... | The first line of input contains two space-separated integers *m* and *b* (1<=≤<=*m*<=≤<=1000, 1<=≤<=*b*<=≤<=10000). | Print the maximum number of bananas Okabe can get from the trees he cuts. | [
"1 5\n",
"2 3\n"
] | [
"30\n",
"25\n"
] | The graph above corresponds to sample test 1. The optimal rectangle is shown in red and has 30 bananas. | [
{
"input": "1 5",
"output": "30"
},
{
"input": "2 3",
"output": "25"
},
{
"input": "4 6",
"output": "459"
},
{
"input": "6 3",
"output": "171"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "10 1",
"output": "55"
},
{
"input": "20 10",
... | 78 | 5,529,600 | 3 | 4,739 | |
624 | Save Luke | [
"math"
] | null | null | Luke Skywalker got locked up in a rubbish shredder between two presses. R2D2 is already working on his rescue, but Luke needs to stay alive as long as possible. For simplicity we will assume that everything happens on a straight line, the presses are initially at coordinates 0 and *L*, and they move towards each other ... | The first line of the input contains four integers *d*, *L*, *v*1, *v*2 (1<=≤<=*d*,<=*L*,<=*v*1,<=*v*2<=≤<=10<=000,<=*d*<=<<=*L*) — Luke's width, the initial position of the second press and the speed of the first and second presses, respectively. | Print a single real value — the maximum period of time Luke can stay alive for. Your answer will be considered correct if its absolute or relative error does not exceed 10<=-<=6.
Namely: let's assume that your answer is *a*, and the answer of the jury is *b*. The checker program will consider your answer correct, if ... | [
"2 6 2 2\n",
"1 9 1 2\n"
] | [
"1.00000000000000000000\n",
"2.66666666666666650000\n"
] | In the first sample Luke should stay exactly in the middle of the segment, that is at coordinates [2;4], as the presses move with the same speed.
In the second sample he needs to occupy the position <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/71395c777960eaded59a9fdc428a9625f152605b.pn... | [
{
"input": "2 6 2 2",
"output": "1.00000000000000000000"
},
{
"input": "1 9 1 2",
"output": "2.66666666666666650000"
},
{
"input": "1 10000 1 1",
"output": "4999.50000000000000000000"
},
{
"input": "9999 10000 10000 10000",
"output": "0.00005000000000000000"
},
{
... | 46 | 0 | 3 | 4,746 | |
413 | Spyke Chatting | [
"implementation"
] | null | null | The R2 company has *n* employees working for it. The work involves constant exchange of ideas, sharing the stories of success and upcoming challenging. For that, R2 uses a famous instant messaging program Spyke.
R2 has *m* Spyke chats just to discuss all sorts of issues. In each chat, some group of employees exchanges... | The first line contains three space-separated integers *n*, *m* and *k* (2<=≤<=*n*<=≤<=2·104; 1<=≤<=*m*<=≤<=10; 1<=≤<=*k*<=≤<=2·105) — the number of the employees, the number of chats and the number of events in the log, correspondingly.
Next *n* lines contain matrix *a* of size *n*<=×<=*m*, consisting of numbers zer... | Print in the single line *n* space-separated integers, where the *i*-th integer shows the number of message notifications the *i*-th employee receives. | [
"3 4 5\n1 1 1 1\n1 0 1 1\n1 1 0 0\n1 1\n3 1\n1 3\n2 4\n3 2\n",
"4 3 4\n0 1 1\n1 0 1\n1 1 1\n0 0 0\n1 2\n2 1\n3 1\n1 3\n"
] | [
"3 3 1 ",
"0 2 3 0 "
] | none | [
{
"input": "3 4 5\n1 1 1 1\n1 0 1 1\n1 1 0 0\n1 1\n3 1\n1 3\n2 4\n3 2",
"output": "3 3 1 "
},
{
"input": "4 3 4\n0 1 1\n1 0 1\n1 1 1\n0 0 0\n1 2\n2 1\n3 1\n1 3",
"output": "0 2 3 0 "
},
{
"input": "2 1 1\n1\n1\n1 1",
"output": "0 1 "
},
{
"input": "3 3 1\n1 1 1\n1 1 1\n1 1 1\... | 1,000 | 10,956,800 | 0 | 4,747 | |
609 | Load Balancing | [
"implementation",
"math"
] | null | null | In the school computer room there are *n* servers which are responsible for processing several computing tasks. You know the number of scheduled tasks for each server: there are *m**i* tasks assigned to the *i*-th server.
In order to balance the load for each server, you want to reassign some tasks to make the differe... | The first line contains positive number *n* (1<=≤<=*n*<=≤<=105) — the number of the servers.
The second line contains the sequence of non-negative integers *m*1,<=*m*2,<=...,<=*m**n* (0<=≤<=*m**i*<=≤<=2·104), where *m**i* is the number of tasks assigned to the *i*-th server. | Print the minimum number of seconds required to balance the load. | [
"2\n1 6\n",
"7\n10 11 10 11 10 11 11\n",
"5\n1 2 3 4 5\n"
] | [
"2\n",
"0\n",
"3\n"
] | In the first example two seconds are needed. In each second, a single task from server #2 should be moved to server #1. After two seconds there should be 3 tasks on server #1 and 4 tasks on server #2.
In the second example the load is already balanced.
A possible sequence of task movements for the third example is:
... | [
{
"input": "2\n1 6",
"output": "2"
},
{
"input": "7\n10 11 10 11 10 11 11",
"output": "0"
},
{
"input": "5\n1 2 3 4 5",
"output": "3"
},
{
"input": "10\n0 0 0 0 0 0 0 0 0 0",
"output": "0"
},
{
"input": "1\n0",
"output": "0"
},
{
"input": "1\n20000",
... | 46 | 0 | 0 | 4,749 | |
1,009 | Annoying Present | [
"greedy",
"math"
] | null | null | Alice got an array of length $n$ as a birthday present once again! This is the third year in a row!
And what is more disappointing, it is overwhelmengly boring, filled entirely with zeros. Bob decided to apply some changes to the array to cheer up Alice.
Bob has chosen $m$ changes of the following form. For some int... | The first line contains two integers $n$ and $m$ ($1 \le n, m \le 10^5$) — the number of elements of the array and the number of changes.
Each of the next $m$ lines contains two integers $x_i$ and $d_i$ ($-10^3 \le x_i, d_i \le 10^3$) — the parameters for the $i$-th change. | Print the maximal average arithmetic mean of the elements Bob can achieve.
Your answer is considered correct if its absolute or relative error doesn't exceed $10^{-6}$. | [
"2 3\n-1 3\n0 0\n-1 -4\n",
"3 2\n0 2\n5 0\n"
] | [
"-2.500000000000000\n",
"7.000000000000000\n"
] | none | [
{
"input": "2 3\n-1 3\n0 0\n-1 -4",
"output": "-2.500000000000000"
},
{
"input": "3 2\n0 2\n5 0",
"output": "7.000000000000000"
},
{
"input": "8 8\n-21 -60\n-96 -10\n-4 -19\n-27 -4\n57 -15\n-95 62\n-42 1\n-17 64",
"output": "-16.500000000000000"
},
{
"input": "1 1\n0 0",
... | 405 | 307,200 | 0 | 4,764 | |
0 | none | [
"none"
] | null | null | Little Artem is fond of dancing. Most of all dances Artem likes rueda — Cuban dance that is danced by pairs of boys and girls forming a circle and dancing together.
More detailed, there are *n* pairs of boys and girls standing in a circle. Initially, boy number 1 dances with a girl number 1, boy number 2 dances with a... | The first line of the input contains two integers *n* and *q* (2<=≤<=*n*<=≤<=1<=000<=000, 1<=≤<=*q*<=≤<=2<=000<=000) — the number of couples in the rueda and the number of commands to perform, respectively. It's guaranteed that *n* is even.
Next *q* lines contain the descriptions of the commands. Each command has type... | Output *n* integers, the *i*-th of them should be equal to the index of boy the *i*-th girl is dancing with after performing all *q* moves. | [
"6 3\n1 2\n2\n1 2\n",
"2 3\n1 1\n2\n1 -2\n",
"4 2\n2\n1 3\n"
] | [
"4 3 6 5 2 1\n",
"1 2\n",
"1 4 3 2\n"
] | none | [
{
"input": "6 3\n1 2\n2\n1 2",
"output": "4 3 6 5 2 1"
},
{
"input": "2 3\n1 1\n2\n1 -2",
"output": "1 2"
},
{
"input": "4 2\n2\n1 3",
"output": "1 4 3 2"
},
{
"input": "6 8\n1 2\n2\n2\n2\n2\n1 1\n1 -5\n2",
"output": "4 3 6 5 2 1"
},
{
"input": "6 8\n1 -1\n2\n2\n1... | 61 | 4,608,000 | 0 | 4,767 | |
47 | Triangular numbers | [
"brute force",
"math"
] | A. Triangular numbers | 2 | 256 | A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The *n*-th triangular number is the number of dots in a triangle with *n* dots on a side. . You can learn more about these numbers fr... | The first line contains the single number *n* (1<=≤<=*n*<=≤<=500) — the given integer. | If the given integer is a triangular number output YES, otherwise output NO. | [
"1\n",
"2\n",
"3\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | [
{
"input": "1",
"output": "YES"
},
{
"input": "2",
"output": "NO"
},
{
"input": "3",
"output": "YES"
},
{
"input": "4",
"output": "NO"
},
{
"input": "5",
"output": "NO"
},
{
"input": "6",
"output": "YES"
},
{
"input": "7",
"output": "NO... | 92 | 0 | 3.977 | 4,772 |
113 | Grammar Lessons | [
"implementation",
"strings"
] | A. Grammar Lessons | 5 | 256 | Petya got interested in grammar on his third year in school. He invented his own language called Petya's. Petya wanted to create a maximally simple language that would be enough to chat with friends, that's why all the language's grammar can be described with the following set of rules:
- There are three parts of spee... | The first line contains one or more words consisting of lowercase Latin letters. The overall number of characters (including letters and spaces) does not exceed 105.
It is guaranteed that any two consecutive words are separated by exactly one space and the input data do not contain any other spaces. It is possible tha... | If some word of the given text does not belong to the Petya's language or if the text contains more that one sentence, print "NO" (without the quotes). Otherwise, print "YES" (without the quotes). | [
"petr\n",
"etis atis animatis etis atis amatis\n",
"nataliala kataliala vetra feinites\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | [
{
"input": "petr",
"output": "YES"
},
{
"input": "etis atis animatis etis atis amatis",
"output": "NO"
},
{
"input": "nataliala kataliala vetra feinites",
"output": "YES"
},
{
"input": "qweasbvflios",
"output": "YES"
},
{
"input": "lios lios petr initis qwe",
... | 62 | 4,505,600 | 0 | 4,778 |
219 | Special Offer! Super Price 999 Bourles! | [
"implementation"
] | null | null | Polycarpus is an amateur businessman. Recently he was surprised to find out that the market for paper scissors is completely free! Without further ado, Polycarpus decided to start producing and selling such scissors.
Polycaprus calculated that the optimal celling price for such scissors would be *p* bourles. However, ... | The first line contains two integers *p* and *d* (1<=≤<=*p*<=≤<=1018; 0<=≤<=*d*<=<<=*p*) — the initial price of scissors and the maximum possible price reduction.
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 the required price — the maximum price that ends with the largest number of nines and that is less than *p* by no more than *d*.
The required number shouldn't have leading zeroes. | [
"1029 102\n",
"27191 17\n"
] | [
"999\n",
"27189\n"
] | none | [
{
"input": "1029 102",
"output": "999"
},
{
"input": "27191 17",
"output": "27189"
},
{
"input": "1 0",
"output": "1"
},
{
"input": "9 0",
"output": "9"
},
{
"input": "20 1",
"output": "19"
},
{
"input": "100 23",
"output": "99"
},
{
"input... | 310 | 0 | 0 | 4,785 | |
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... | 670 | 33,894,400 | 0 | 4,787 | |
431 | k-Tree | [
"dp",
"implementation",
"trees"
] | null | null | Quite recently a creative student Lesha had a lecture on trees. After the lecture Lesha was inspired and came up with the tree of his own which he called a *k*-tree.
A *k*-tree is an infinite rooted tree where:
- each vertex has exactly *k* children; - each edge has some weight; - if we look at the edges that goes... | A single line contains three space-separated integers: *n*, *k* and *d* (1<=≤<=*n*,<=*k*<=≤<=100; 1<=≤<=*d*<=≤<=*k*). | Print a single integer — the answer to the problem modulo 1000000007 (109<=+<=7). | [
"3 3 2\n",
"3 3 3\n",
"4 3 2\n",
"4 5 2\n"
] | [
"3\n",
"1\n",
"6\n",
"7\n"
] | none | [
{
"input": "3 3 2",
"output": "3"
},
{
"input": "3 3 3",
"output": "1"
},
{
"input": "4 3 2",
"output": "6"
},
{
"input": "4 5 2",
"output": "7"
},
{
"input": "28 6 3",
"output": "110682188"
},
{
"input": "5 100 1",
"output": "16"
},
{
"inp... | 77 | 2,150,400 | 3 | 4,795 | |
583 | Robot's Task | [
"greedy",
"implementation"
] | null | null | Robot Doc is located in the hall, with *n* computers stand in a line, numbered from left to right from 1 to *n*. Each computer contains exactly one piece of information, each of which Doc wants to get eventually. The computers are equipped with a security system, so to crack the *i*-th of them, the robot needs to colle... | The first line contains number *n* (1<=≤<=*n*<=≤<=1000). The second line contains *n* non-negative integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=<<=*n*), separated by a space. It is guaranteed that there exists a way for robot to collect all pieces of the information. | Print a single number — the minimum number of changes in direction that the robot will have to make in order to collect all *n* parts of information. | [
"3\n0 2 0\n",
"5\n4 2 3 0 1\n",
"7\n0 3 1 0 5 2 6\n"
] | [
"1\n",
"3\n",
"2\n"
] | In the first sample you can assemble all the pieces of information in the optimal manner by assembling first the piece of information in the first computer, then in the third one, then change direction and move to the second one, and then, having 2 pieces of information, collect the last piece.
In the second sample to... | [
{
"input": "3\n0 2 0",
"output": "1"
},
{
"input": "5\n4 2 3 0 1",
"output": "3"
},
{
"input": "7\n0 3 1 0 5 2 6",
"output": "2"
},
{
"input": "1\n0",
"output": "0"
},
{
"input": "2\n0 1",
"output": "0"
},
{
"input": "10\n0 0 0 0 0 0 0 0 0 0",
"out... | 233 | 0 | 3 | 4,813 | |
261 | Maxim and Discounts | [
"greedy",
"sortings"
] | null | null | Maxim always goes to the supermarket on Sundays. Today the supermarket has a special offer of discount systems.
There are *m* types of discounts. We assume that the discounts are indexed from 1 to *m*. To use the discount number *i*, the customer takes a special basket, where he puts exactly *q**i* items he buys. Unde... | The first line contains integer *m* (1<=≤<=*m*<=≤<=105) — the number of discount types. The second line contains *m* integers: *q*1,<=*q*2,<=...,<=*q**m* (1<=≤<=*q**i*<=≤<=105).
The third line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of items Maxim needs. The fourth line contains *n* integers: *a*1,<=*a*... | In a single line print a single integer — the answer to the problem. | [
"1\n2\n4\n50 50 100 100\n",
"2\n2 3\n5\n50 50 50 50 50\n",
"1\n1\n7\n1 1 1 1 1 1 1\n"
] | [
"200\n",
"150\n",
"3\n"
] | In the first sample Maxim needs to buy two items that cost 100 and get a discount for two free items that cost 50. In that case, Maxim is going to pay 200.
In the second sample the best strategy for Maxim is to buy 3 items and get 2 items for free using the discount. In that case, Maxim is going to pay 150. | [
{
"input": "1\n2\n4\n50 50 100 100",
"output": "200"
},
{
"input": "2\n2 3\n5\n50 50 50 50 50",
"output": "150"
},
{
"input": "1\n1\n7\n1 1 1 1 1 1 1",
"output": "3"
},
{
"input": "60\n7 4 20 15 17 6 2 2 3 18 13 14 16 11 13 12 6 10 14 1 16 6 4 9 10 8 10 15 16 13 13 9 16 11 5 ... | 62 | 0 | 0 | 4,815 | |
884 | Boxes And Balls | [
"data structures",
"greedy"
] | null | null | Ivan has *n* different boxes. The first of them contains some balls of *n* different colors.
Ivan wants to play a strange game. He wants to distribute the balls into boxes in such a way that for every *i* (1<=≤<=*i*<=≤<=*n*) *i*-th box will contain all balls with color *i*.
In order to do this, Ivan will make some tu... | The first line contains one integer number *n* (1<=≤<=*n*<=≤<=200000) — the number of boxes and colors.
The second line contains *n* integer numbers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109), where *a**i* is the number of balls with color *i*. | Print one number — the minimum possible penalty of the game. | [
"3\n1 2 3\n",
"4\n2 3 4 5\n"
] | [
"6\n",
"19\n"
] | In the first example you take all the balls from the first box, choose *k* = 3 and sort all colors to corresponding boxes. Penalty is 6.
In the second example you make two turns:
1. Take all the balls from the first box, choose *k* = 3, put balls of color 3 to the third box, of color 4 — to the fourth box and the r... | [
{
"input": "3\n1 2 3",
"output": "6"
},
{
"input": "4\n2 3 4 5",
"output": "19"
},
{
"input": "6\n1 4 4 4 4 4",
"output": "38"
},
{
"input": "8\n821407370 380061316 428719552 90851747 825473738 704702117 845629927 245820158",
"output": "8176373828"
},
{
"input": "... | 514 | 15,974,400 | 3 | 4,819 | |
928 | Chat | [
"*special",
"dp"
] | null | null | There are times you recall a good old friend and everything you've come through together. Luckily there are social networks — they store all your message history making it easy to know what you argued over 10 years ago.
More formal, your message history is a sequence of messages ordered by time sent numbered from 1 to... | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=105, 0<=≤<=*k*<=≤<=*n*) — the total amount of messages and the number of previous and next messages visible.
The second line features a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=<<=*i*), where *a**i* denotes the *i*-th message link... | Print *n* integers with *i*-th denoting the number of distinct messages you can read starting from message *i* and traversing the links while possible. | [
"6 0\n0 1 1 2 3 2\n",
"10 1\n0 1 0 3 4 5 2 3 7 0\n",
"2 2\n0 1\n"
] | [
"1 2 2 3 3 3 \n",
"2 3 3 4 5 6 6 6 8 2 \n",
"2 2 \n"
] | Consider *i* = 6 in sample case one. You will read message 6, then 2, then 1 and then there will be no link to go.
In the second sample case *i* = 6 gives you messages 5, 6, 7 since *k* = 1, then 4, 5, 6, then 2, 3, 4 and then the link sequence breaks. The number of distinct messages here is equal to 6. | [
{
"input": "6 0\n0 1 1 2 3 2",
"output": "1 2 2 3 3 3 "
},
{
"input": "10 1\n0 1 0 3 4 5 2 3 7 0",
"output": "2 3 3 4 5 6 6 6 8 2 "
},
{
"input": "2 2\n0 1",
"output": "2 2 "
},
{
"input": "1 1\n0",
"output": "1 "
},
{
"input": "5 2\n0 1 2 3 1",
"output": "3 4... | 295 | 30,924,800 | 0 | 4,826 | |
784 | Kids' Riddle | [
"*special"
] | null | null | Programmers' kids solve this riddle in 5-10 minutes. How fast can you do it? | The input contains a single integer *n* (0<=≤<=*n*<=≤<=2000000000). | Output a single integer. | [
"11\n",
"14\n",
"61441\n",
"571576\n",
"2128506\n"
] | [
"2\n",
"0\n",
"2\n",
"10\n",
"3\n"
] | none | [
{
"input": "11",
"output": "2"
},
{
"input": "14",
"output": "0"
},
{
"input": "61441",
"output": "2"
},
{
"input": "571576",
"output": "10"
},
{
"input": "2128506",
"output": "3"
},
{
"input": "0",
"output": "1"
},
{
"input": "2000000000",... | 78 | 7,065,600 | 3 | 4,843 | |
456 | Fedya and Maths | [
"math",
"number theory"
] | null | null | Fedya studies in a gymnasium. Fedya's maths hometask is to calculate the following expression:
for given value of *n*. Fedya managed to complete the task. Can you? Note that given number *n* can be extremely large (e.g. it can exceed any integer type of your programming language). | The single line contains a single integer *n* (0<=≤<=*n*<=≤<=10105). The number doesn't contain any leading zeroes. | Print the value of the expression without leading zeros. | [
"4\n",
"124356983594583453458888889\n"
] | [
"4\n",
"0\n"
] | Operation *x* *mod* *y* means taking remainder after division *x* by *y*.
Note to the first sample:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/825f244180bb10323db01645118c3cfdb312fa89.png" style="max-width: 100.0%;max-height: 100.0%;"/> | [
{
"input": "4",
"output": "4"
},
{
"input": "124356983594583453458888889",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "7854",
"output": "0"
},
{
"input": "584660",
"output": "4"
},
{
"input": "464",
"output": "4"
},
{
"inp... | 46 | 0 | 0 | 4,846 | |
615 | Multipliers | [
"math",
"number theory"
] | null | null | Ayrat has number *n*, represented as it's prime factorization *p**i* of size *m*, i.e. *n*<==<=*p*1·*p*2·...·*p**m*. Ayrat got secret information that that the product of all divisors of *n* taken modulo 109<=+<=7 is the password to the secret data base. Now he wants to calculate this value. | The first line of the input contains a single integer *m* (1<=≤<=*m*<=≤<=200<=000) — the number of primes in factorization of *n*.
The second line contains *m* primes numbers *p**i* (2<=≤<=*p**i*<=≤<=200<=000). | Print one integer — the product of all divisors of *n* modulo 109<=+<=7. | [
"2\n2 3\n",
"3\n2 3 2\n"
] | [
"36\n",
"1728\n"
] | In the first sample *n* = 2·3 = 6. The divisors of 6 are 1, 2, 3 and 6, their product is equal to 1·2·3·6 = 36.
In the second sample 2·3·2 = 12. The divisors of 12 are 1, 2, 3, 4, 6 and 12. 1·2·3·4·6·12 = 1728. | [
{
"input": "2\n2 3",
"output": "36"
},
{
"input": "3\n2 3 2",
"output": "1728"
},
{
"input": "1\n2017",
"output": "2017"
},
{
"input": "2\n63997 63997",
"output": "135893224"
},
{
"input": "5\n11 7 11 7 11",
"output": "750455957"
},
{
"input": "5\n2 2 ... | 124 | 0 | 0 | 4,853 | |
670 | Magic Powder - 1 | [
"binary search",
"brute force",
"implementation"
] | null | null | This problem is given in two versions that differ only by constraints. If you can solve this problem in large constraints, then you can just write a single solution to the both versions. If you find the problem too difficult in large constraints, you can write solution to the simplified version only.
Waking up in the ... | The first line of the input contains two positive integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1000) — the number of ingredients and the number of grams of the magic powder.
The second line contains the sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000), where the *i*-th number is equal to the number of grams of... | Print the maximum number of cookies, which Apollinaria will be able to bake using the ingredients that she has and the magic powder. | [
"3 1\n2 1 4\n11 3 16\n",
"4 3\n4 3 5 6\n11 12 14 20\n"
] | [
"4\n",
"3\n"
] | In the first sample it is profitably for Apollinaria to make the existing 1 gram of her magic powder to ingredient with the index 2, then Apollinaria will be able to bake 4 cookies.
In the second sample Apollinaria should turn 1 gram of magic powder to ingredient with the index 1 and 1 gram of magic powder to ingredie... | [
{
"input": "3 1\n2 1 4\n11 3 16",
"output": "4"
},
{
"input": "4 3\n4 3 5 6\n11 12 14 20",
"output": "3"
},
{
"input": "10 926\n5 6 8 1 2 5 1 8 4 4\n351 739 998 725 953 970 906 691 707 1000",
"output": "137"
},
{
"input": "20 925\n7 3 1 2 1 3 1 3 1 2 3 1 5 8 1 3 7 3 4 2\n837 ... | 124 | 2,150,400 | -1 | 4,854 | |
771 | Bear and Tree Jumps | [
"dfs and similar",
"dp",
"trees"
] | null | null | A tree is an undirected connected graph without cycles. The distance between two vertices is the number of edges in a simple path between them.
Limak is a little polar bear. He lives in a tree that consists of *n* vertices, numbered 1 through *n*.
Limak recently learned how to jump. He can jump from a vertex to any v... | The first line of the input contains two integers *n* and *k* (2<=≤<=*n*<=≤<=200<=000, 1<=≤<=*k*<=≤<=5) — the number of vertices in the tree and the maximum allowed jump distance respectively.
The next *n*<=-<=1 lines describe edges in the tree. The *i*-th of those lines contains two integers *a**i* and *b**i* (1<=≤<=... | Print one integer, denoting the sum of *f*(*s*,<=*t*) over all pairs of vertices (*s*,<=*t*) such that *s*<=<<=*t*. | [
"6 2\n1 2\n1 3\n2 4\n2 5\n4 6\n",
"13 3\n1 2\n3 2\n4 2\n5 2\n3 6\n10 6\n6 7\n6 13\n5 8\n5 9\n9 11\n11 12\n",
"3 5\n2 1\n3 1\n"
] | [
"20\n",
"114\n",
"3\n"
] | In the first sample, the given tree has 6 vertices and it's displayed on the drawing below. Limak can jump to any vertex within distance at most 2. For example, from the vertex 5 he can jump to any of vertices: 1, 2 and 4 (well, he can also jump to the vertex 5 itself).
There are <img align="middle" class="tex-formula... | [
{
"input": "6 2\n1 2\n1 3\n2 4\n2 5\n4 6",
"output": "20"
},
{
"input": "13 3\n1 2\n3 2\n4 2\n5 2\n3 6\n10 6\n6 7\n6 13\n5 8\n5 9\n9 11\n11 12",
"output": "114"
},
{
"input": "3 5\n2 1\n3 1",
"output": "3"
},
{
"input": "2 1\n1 2",
"output": "1"
},
{
"input": "2 5... | 46 | 0 | 0 | 4,857 |
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