task stringclasses 4
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values | instruction stringlengths 66 14k | response stringlengths 13 8.89k | id stringlengths 68 68 | parent_id stringlengths 64 64 |
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Coding | codecontest | Write Python code to solve the task.
In India IPL is on full swing now. Fans of cricket love watching the game and seeing ball by ball with having Snacks. Yummy, crispy snacks. Ankit and his friends are one of them.
One night, while watching his Favourite team's Match he is eating Snacks. His team is leading the game ... | Step 1: To solve this problem, we need to calculate the probability of a snack being faulted based on the given input.
Step 2: We can start by reading the input, which includes the number of test cases, the number of snacks, and the arrays D and F containing probabilities.
Step 3: We need to calculate the probabilit... | e2b93c4e96444414ca9f31c09b6194027eacc6325c02ac04c7e0fe71d4f25f55_1_1 | 79096bf092d2d78d513546fb1f4eef33fef2ce61472b004afa99cf28339f34e9 |
Coding | codecontest | Write Python code to solve the task.
Given is a string S consisting of `L` and `R`.
Let N be the length of S. There are N squares arranged from left to right, and the i-th character of S from the left is written on the i-th square from the left.
The character written on the leftmost square is always `R`, and the char... | Step 1: To solve this problem, we need to track the number of children standing at each square after performing the moves.
Step 2: We can iterate through the string and determine the movement direction for each child.
Step 3: We need to keep track of the left and right positions for each child and update the count... | efff658ad392f8a44324d188c6d3863370429f3dde01bff3b3b726be058828ce_1_1 | 9d460ddc1c44d880894aeed4c35b4f02e18a20efc5388443d0564e6dc346abc4 |
Coding | codecontest | Write Python code to solve the task.
Given is a string S consisting of `L` and `R`.
Let N be the length of S. There are N squares arranged from left to right, and the i-th character of S from the left is written on the i-th square from the left.
The character written on the leftmost square is always `R`, and the char... | Step 1: This problem requires determining the number of children standing on each square after they have performed a certain sequence of moves.
Step 2: We need to keep track of the number of children standing on each square as the moves are performed.
Step 3: We also need to consider the direction of the moves and t... | f99f2236074d77903bf04e3b0e018db403d7f551b171b6ec0a7b4dfc63e16358_1_1 | 9d460ddc1c44d880894aeed4c35b4f02e18a20efc5388443d0564e6dc346abc4 |
Coding | codecontest | Write Python code to solve the task.
There is a robot staying at X=0 on the Ox axis. He has to walk to X=n. You are controlling this robot and controlling how he goes. The robot has a battery and an accumulator with a solar panel.
The i-th segment of the path (from X=i-1 to X=i) can be exposed to sunlight or not. The ... | Step 1: To solve this problem, we need to simulate the robot's journey to the destination while managing the battery and accumulator capacities.
Step 2: We'll iterate through each segment of the path, check whether that segment is exposed to sunlight or not, and choose the energy storage type (battery or accumulator)... | 0be3e8bef5c07caf07da24314a73f0137efc9120939b451e611e09f59fd0a49d_1_1 | 323961ccfcc255e9686ac09d9bab73f142951570840f9b4d7661c09002d06c15 |
Coding | codecontest | Write Python code to solve the task.
There is a robot staying at X=0 on the Ox axis. He has to walk to X=n. You are controlling this robot and controlling how he goes. The robot has a battery and an accumulator with a solar panel.
The i-th segment of the path (from X=i-1 to X=i) can be exposed to sunlight or not. The ... | Step 1: In this problem, the robot needs to walk from X=0 to X=n using an optimal selection of battery or accumulator to pass each segment.
Step 2: The robot should use the battery for segments exposed to sunlight (s_i=1) and switch to the accumulator when the battery is depleted.
Step 3: We need to keep track of ... | b47c36245c8c59883b1fc109ded6711e013cff7b3342470a8ff41d350e8ed66d_1_1 | 323961ccfcc255e9686ac09d9bab73f142951570840f9b4d7661c09002d06c15 |
Coding | codecontest | Write Python code to solve the task.
The map of Bertown can be represented as a set of n intersections, numbered from 1 to n and connected by m one-way roads. It is possible to move along the roads from any intersection to any other intersection. The length of some path from one intersection to another is the number of... | Step 1:
The problem requires determining the minimum and maximum number of times the navigation system would have to rebuild the shortest path from Polycarp's home to his workplace.
Step 2: To solve this problem, we need to understand the relationship between the roadmap of Bertown, Polycarp's path, and the navigati... | d8681f55bd99b04de7e6b19adb498d5e21245f58aadf1722d312c01104ae84cf_1_1 | 1975c8d3c36af76e9365930f8b63cc3c54b0c189753c5e56020d5655213de037 |
Coding | codecontest | Write Python code to solve the task.
The map of Bertown can be represented as a set of n intersections, numbered from 1 to n and connected by m one-way roads. It is possible to move along the roads from any intersection to any other intersection. The length of some path from one intersection to another is the number of... | Step 1: The task is to determine the minimum and the maximum number of rebuilds that could have happened during Polycarp's journey from s to t.
Step 2: We need to process input data and build a graph to represent the relations between intersections and roads.
Step 3: Then we traverse the path, determining the shorte... | abbbbfb84a24c1e828e7b0d5788127f6bab27d779d76a3b1d2955c24cb407240_1_1 | 1975c8d3c36af76e9365930f8b63cc3c54b0c189753c5e56020d5655213de037 |
Coding | codecontest | Write Python code to solve the task.
You are given a multiset S initially consisting of n distinct non-negative integers. A multiset is a set, that can contain some elements multiple times.
You will perform the following operation k times:
* Add the element β(a+b)/(2)β (rounded up) into S, where a = \operatorname{... | Step 1: To solve this problem, we need to take the given inputs and perform the specified operations k times.
Step 2: We need to implement a function to calculate the number of distinct elements in S after k operations will be done.
Step 3: The function will calculate the mex and max of a multiset, and then apply th... | 5be6067421d19457154254009dbb93375ca07f49314e98a692827c22719ac8b3_1_1 | 3e018ffb4bd5d787242a0d0df55e5c7e45c648539dc5ba7b5bc26e31db75a4e3 |
Coding | codecontest | Write Python code to solve the task.
You are given a multiset S initially consisting of n distinct non-negative integers. A multiset is a set, that can contain some elements multiple times.
You will perform the following operation k times:
* Add the element β(a+b)/(2)β (rounded up) into S, where a = \operatorname{... | Step 1: The problem requires us to calculate the number of distinct elements in a multiset after performing a series of operations.
Step 2: We need to understand the operations involved and how they affect the multiset.
Step 3: We can start by implementing a function to perform a single operation on the multiset.
St... | 72727d9943b98a8ab2fd92360d02717e70192c4685652991cfe2de91b7c34966_1_1 | 3e018ffb4bd5d787242a0d0df55e5c7e45c648539dc5ba7b5bc26e31db75a4e3 |
Coding | codecontest | Write Python code to solve the task.
A group of n merry programmers celebrate Robert Floyd's birthday. Polucarpus has got an honourable task of pouring Ber-Cola to everybody. Pouring the same amount of Ber-Cola to everybody is really important. In other words, the drink's volume in each of the n mugs must be the same.
... | Step 1: We need to find the amount of drink that needs to be added to each mug so that the total volume of drink in each mug is the same, and the sum of all the volumes matches the total amount of drink in the bottle.
Step 2: To find the amount to be added to each mug, we'll first calculate the total amount of drink,... | 58f1b654dd461cad4fec9ee77d87750505f809b485b44027c8e9f75e32d55b97_1_1 | 4b30db1abc2447a0e4d93b155e4400be56cb19a1510f9e0919523d3ade3e5a89 |
Coding | codecontest | Write Python code to solve the task.
A group of n merry programmers celebrate Robert Floyd's birthday. Polucarpus has got an honourable task of pouring Ber-Cola to everybody. Pouring the same amount of Ber-Cola to everybody is really important. In other words, the drink's volume in each of the n mugs must be the same.
... | Step 1: To solve this problem, we can use the given inputs to calculate the amount of drink that needs to be added to each mug in order to achieve the specified conditions.
Step 2: We can start by parsing the input values for the total number of friends and the current volume of drink in the bottle.
Step 3: Then we ... | 5083174ba06503fd074f69cd830ce146cf141b3c83f18944e85fe70583051022_1_1 | 4b30db1abc2447a0e4d93b155e4400be56cb19a1510f9e0919523d3ade3e5a89 |
Coding | codecontest | Write Python code to solve the task.
There is a square painted on a piece of paper, the square's side equals n meters. John Doe draws crosses on the square's perimeter. John paints the first cross in the lower left corner of the square. Then John moves along the square's perimeter in the clockwise direction (first upwa... | Step 1: To solve this problem, we need to understand the pattern of crosses that John draws as he moves along the square's perimeter.
Step 2: We need to consider the movement directions and the intervals at which John draws crosses.
Step 3: Then we can determine the total number of crosses John will draw based on th... | 8f3933c5ee48adbcac9c4040f9add4c23932c4cad538e9a017da112299e93c64_1_1 | 546eabda357f02acc6ed24237d9477108bd67f22c8b294ef88c9c812212cce30 |
Coding | codecontest | Write Python code to solve the task.
There is a square painted on a piece of paper, the square's side equals n meters. John Doe draws crosses on the square's perimeter. John paints the first cross in the lower left corner of the square. Then John moves along the square's perimeter in the clockwise direction (first upwa... | Step 1: The problem requires us to find the number of crosses John will draw as he moves along a square of varying sizes.
Step 2: We can start by understanding the pattern in which John draws crosses as he moves along the square's perimeter.
Step 3: By identifying the pattern, we can come up with a formula or set of... | 7a6896149771290ce0ee346f86f936221b7fe57fb2e175f4c3f50bbd6ffa372e_1_1 | 546eabda357f02acc6ed24237d9477108bd67f22c8b294ef88c9c812212cce30 |
Coding | codecontest | Write Python code to solve the task.
Little Artem has invented a time machine! He could go anywhere in time, but all his thoughts of course are with computer science. He wants to apply this time machine to a well-known data structure: multiset.
Artem wants to create a basic multiset of integers. He wants these structu... | Step 1: To solve this problem, we need to process the queries in the order they were given and keep track of the changes to the multiset over time.
Step 2: We can use dictionaries to store the additions and removals of integers at different moments of time.
Step 3: We will need to use bisect functions to quickly ins... | b565b5d1c1fde2cea183b83d71322ca312247da81456e4d4dc21629c8ac2c758_1_1 | 0a697a51499bbb4818881c78cd7407905a5e712cb3349bfd4119da153d8d3e71 |
Coding | codecontest | Write Python code to solve the task.
Little Artem has invented a time machine! He could go anywhere in time, but all his thoughts of course are with computer science. He wants to apply this time machine to a well-known data structure: multiset.
Artem wants to create a basic multiset of integers. He wants these structu... | Step 1: To solve this problem, we need to handle three different types of queries: add, remove, and count.
Step 2: For the add and remove operations, we can use a dictionary to store the timestamps when the operations occurred for each integer.
Step 3: For the count operation, we can use the timestamps to calculate... | 4912705fee48a7c7dd6e914e4b1ed97478a6880717c614a866548d2fd7328b1b_1_1 | 0a697a51499bbb4818881c78cd7407905a5e712cb3349bfd4119da153d8d3e71 |
Coding | codecontest | Write Python code to solve the task.
Richard is a travel freak. He is now out to travel to a distant place with his friends, so he took his car and went out with a certain amount of fuel. Thus he must stop at a fuel station before his fuel gets over. There are several fuel station with 1 km gap providing fixed amount o... | Step 1: To solve this problem, we need to help Richard reach his destination by making as few stops as possible while ensuring that he always has enough fuel to travel to the next fuel station.
Step 2: We can process each test case to calculate the minimum number of stops required.
Step 3: Each stop can provide fuel... | 8ceb95425c9138d83551456111fb1dff4e51354ff190d33d9015fe6ddb712b20_1_1 | b7a44c988857ad72a893e4485945407a822c8c1e75542e0413484d34cfe234ea |
Coding | codecontest | Write Python code to solve the task.
Richard is a travel freak. He is now out to travel to a distant place with his friends, so he took his car and went out with a certain amount of fuel. Thus he must stop at a fuel station before his fuel gets over. There are several fuel station with 1 km gap providing fixed amount o... | Step 1: The problem requires determining the minimum number of stops at fuel stations needed to reach the destination, given the fuel available at each station and the distance to the destination.
Step 2: We can calculate the distance to next station based on the current fuel available. We aim to minimize stops by re... | 2ab6e509be3dd171716cf3957aa604c6a95e4a190b0a7c68ccd22d13a9df27a6_1_1 | b7a44c988857ad72a893e4485945407a822c8c1e75542e0413484d34cfe234ea |
Coding | codecontest | Write Python code to solve the task.
Takahashi is going to buy N items one by one.
The price of the i-th item he buys is A_i yen (the currency of Japan).
He has M discount tickets, and he can use any number of them when buying an item.
If Y tickets are used when buying an item priced X yen, he can get the item for \... | Step 1: To solve this problem, we need to consider the cost of each item and the discount tickets available to minimize the total cost.
Step 2: We can use a priority queue to keep track of the prices and apply the discount tickets as needed when buying the items.
Step 3: We can iterate through the items and apply th... | c5acf49eb7479dd8465fec582700197bb81f3bc7476365d27ae0686223c09667_1_1 | 4d0b82773aecf0d139c9e70e4cd551f3b09db3dfcd71d8b2c497852092e3e3ca |
Coding | codecontest | Write Python code to solve the task.
Takahashi is going to buy N items one by one.
The price of the i-th item he buys is A_i yen (the currency of Japan).
He has M discount tickets, and he can use any number of them when buying an item.
If Y tickets are used when buying an item priced X yen, he can get the item for \... | Step 1: This problem can be solved by iteratively using discount tickets to reduce the cost of each item.
Step 2: We can use a heap to efficiently keep track of the cost of items and the number of discount tickets used.
Step 3: We can then pop the maximum item from the heap, apply the discount tickets, and push the ... | 9a1836f6668d283155bb6d228381fb11ac8d89067f0b683aca3acc608bcc6a52_1_1 | 4d0b82773aecf0d139c9e70e4cd551f3b09db3dfcd71d8b2c497852092e3e3ca |
Coding | codecontest | Write Python code to solve the task.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties. Help Rikhail to convince the scientific ... | Step 1: The problem requires finding the maximum value of n such that the quantity of palindromic numbers no larger than n multiplied by a coefficient A is less than the quantity of primes no larger than n.
Step 2: We need to check all numbers starting from 1 to find the maximum value of n that satisfies the given co... | 604a33fcbdaa0b5d491a3feaca94d41e5506cf7440a702c80bbc2aa56e72d988_1_1 | bbd0be0f20139d95f842771cbae98c1075f3601c71699e0b3933f3551bc94d4c |
Coding | codecontest | Write Python code to solve the task.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties. Help Rikhail to convince the scientific ... | Step 1: To solve this problem, we need to first understand the definitions of prime numbers and palindromic numbers.
Step 2: We'll also need to understand the relationship between the number of prime numbers and palindromic numbers for a given value of a coefficient A.
Step 3: We can use the provided functions to ch... | 051e7b7055e7e9519f4f6de27f28a6f30fee1187a52d0b72eb2f5ff359e44018_1_1 | bbd0be0f20139d95f842771cbae98c1075f3601c71699e0b3933f3551bc94d4c |
Coding | codecontest | Write Python code to solve the task.
The Fair Nut is going to travel to the Tree Country, in which there are n cities. Most of the land of this country is covered by forest. Furthermore, the local road system forms a tree (connected graph without cycles). Nut wants to rent a car in the city u and go by a simple path to... | Step 1: To solve this problem, we need to determine the maximum amount of gasoline Nut can have at the end of the path from city u to city v on a tree-shaped road system.
Step 2: We can start by modeling the graph of the road connectivity using an adjacency list and implement a method to calculate the subtree for eac... | 561e4f75a45b9bfeaf7b44447c7cbf9bc6203957e404121c0ded39ff54e6c777_1_1 | 26097cf3c6cce98a5b3f42a60ff01ef0f65e319320abc3d192c69df7e1d768c5 |
Coding | codecontest | Write Python code to solve the task.
The Fair Nut is going to travel to the Tree Country, in which there are n cities. Most of the land of this country is covered by forest. Furthermore, the local road system forms a tree (connected graph without cycles). Nut wants to rent a car in the city u and go by a simple path to... | Step 1: To solve this problem, we need to traverse the tree and keep track of the maximum amount of gasoline that Nut can have at the end of the path.
Step 2: We also need to consider the amount of gasoline he can buy in each city and the length of each road.
Step 3: We can use a graph representation to store the ed... | f05c11343a5e88465d6a837153d293e2066ae6e73b48370df293e77179c66d40_1_1 | 26097cf3c6cce98a5b3f42a60ff01ef0f65e319320abc3d192c69df7e1d768c5 |
Coding | codecontest | Write Python code to solve the task.
There is a programming language in which every program is a non-empty sequence of "<" and ">" signs and digits. Let's explain how the interpreter of this programming language works. A program is interpreted using movement of instruction pointer (IP) which consists of two parts.
*... | Step 1: The function `f` takes a sequence of characters as input and simulates the behavior of the language interpreter while running the program with this sequence.
Step 2: The function initializes the current position pointer `p` at 0, the direction pointer `d` as 1, and a list `l` to keep track of the count of ea... | a790b4d9ceb3b9d48b0450091ffe74b87555ea92fcf834be3946f0fa35241bbf_1_1 | d59820d4fdd329046d4bf4d916965fcf767b209e2ca25efe7f94149d79061b27 |
Coding | codecontest | Write Python code to solve the task.
There is a programming language in which every program is a non-empty sequence of "<" and ">" signs and digits. Let's explain how the interpreter of this programming language works. A program is interpreted using movement of instruction pointer (IP) which consists of two parts.
*... | Step 1: The problem provides a sequence of characters representing a program in a custom programming language.
Step 2: We need to interpret and execute the program based on the rules provided.
Step 3: We should handle the movement of instruction pointers (CP) and direction pointers (DP) as described in the problem.
... | 0b196adc92d3996533e96bcc0d7afddebc598baa38f5aeaa49d2b37d085df7da_1_1 | d59820d4fdd329046d4bf4d916965fcf767b209e2ca25efe7f94149d79061b27 |
Coding | codecontest | Write Python code to solve the task.
As you know, Vova has recently become a new shaman in the city of Ultima Thule. So, he has received the shaman knowledge about the correct bracket sequences. The shamans of Ultima Thule have been using lots of different types of brackets since prehistoric times. A bracket type is a ... | Step 1: The problem describes the process for encoding and decoding a bracket sequence using positive integers and negative integers representing the bracket types.
Step 2: We need to implement a function that takes the input sequences and restores the original bracket sequence.
Step 3: The process involves identify... | 5289385b10da8e1fbe55f0962bdd1d0c88c410941fec86d612d53cfffcf234af_1_1 | 6515974c4f21e3881227b597745ea5dfac87e47b6f9f48cdb0b57c185a2bdd6e |
Coding | codecontest | Write Python code to solve the task.
As you know, Vova has recently become a new shaman in the city of Ultima Thule. So, he has received the shaman knowledge about the correct bracket sequences. The shamans of Ultima Thule have been using lots of different types of brackets since prehistoric times. A bracket type is a ... | Step 1: The problem requires us to restore the original sequence based on the encryption provided.
Step 2: The input strings need to be processed to derive the necessary information to restore the original sequence.
Step 3: Once the sequence is restored, we need to check if the sequence satisfies the rules for a cor... | 36b5cbfd6b4cbc6b1b780fdf5d0fac388e0fbaf2a754258e5b8d34c3ddd7add1_1_1 | 6515974c4f21e3881227b597745ea5dfac87e47b6f9f48cdb0b57c185a2bdd6e |
Coding | codecontest | Write Python code to solve the task.
In a far away land, there are two cities near a river. One day, the cities decide that they have too little space and would like to reclaim some of the river area into land.
The river area can be represented by a grid with r rows and exactly two columns β each cell represents a rec... | Step 1: The problem requires a way to determine which city can be the last to take a cell and reclaim part of the river area. The cells in the grid have constraints on which cells can be reclaimed based on the already-claimed cells. The game is played optimally, and the program needs to determine a win or lose outcome... | bb2e5ce7805dc0f734a24c97c11258682528db7bac19d9754e224323ad84ce88_1_1 | 912e148d11fdac3a864e26bb14fd1e4541a5bc66d324ef97482953b83c2d8c37 |
Coding | codecontest | Write Python code to solve the task.
In a far away land, there are two cities near a river. One day, the cities decide that they have too little space and would like to reclaim some of the river area into land.
The river area can be represented by a grid with r rows and exactly two columns β each cell represents a rec... | Step 1: To solve this problem, we need to analyze the constraints and determine the conditions that would result in a win for the first or second city.
Step 2: We can use the given input to determine the cells that have been reclaimed by each city and store this information in a grid.
Step 3: Then, we need to implem... | 7e57afb33815e7a385aa67cb1e03612bd44f037cc017af5b5f13de361cd52ee0_1_1 | 912e148d11fdac3a864e26bb14fd1e4541a5bc66d324ef97482953b83c2d8c37 |
Coding | codecontest | Write Python code to solve the task.
Cat Noku has obtained a map of the night sky. On this map, he found a constellation with n stars numbered from 1 to n. For each i, the i-th star is located at coordinates (xi, yi). No two stars are located at the same position.
In the evening Noku is going to take a look at the nig... | Step 1: The problem requires finding three distinct stars to form a triangle with a positive area, where all other stars lie strictly outside the triangle.
Step 2: Given the coordinates of the stars, we need to implement a solution that identifies a valid triangle meeting these conditions.
Step 3: We can achieve thi... | e57a97da0afee0a9f38532ad63eecb8899b0828450da7de9902de74f794c8805_1_1 | 45ad2c30e6d651ba67bc176480658b9476e25d668be0ba8dd4dfe3484a3384ef |
Coding | codecontest | Write Python code to solve the task.
Cat Noku has obtained a map of the night sky. On this map, he found a constellation with n stars numbered from 1 to n. For each i, the i-th star is located at coordinates (xi, yi). No two stars are located at the same position.
In the evening Noku is going to take a look at the nig... | Step 1: The problem requires us to find three distinct stars that form a triangle with a positive area and have all other stars lying strictly outside the triangle.
Step 2: We can start by sorting the stars based on their x-coordinates and then iterate through the stars to find the indices of the three points that f... | 5c2999b52cd1677b723d41bf7de0a320b9db31cc9b941ced6fad728d265bc461_1_1 | 45ad2c30e6d651ba67bc176480658b9476e25d668be0ba8dd4dfe3484a3384ef |
Coding | codecontest | Write Python code to solve the task.
Kostya is a genial sculptor, he has an idea: to carve a marble sculpture in the shape of a sphere. Kostya has a friend Zahar who works at a career. Zahar knows about Kostya's idea and wants to present him a rectangular parallelepiped of marble from which he can carve the sphere.
Z... | Step 1:
Upon understanding the problem, Zahar needs to select at most two stones that when glued together form a rectangular parallelepiped that can be carved into a maximum volume sphere. Zahar needs to consider dimensions and shapes when choosing the stones. There are two possibilities to obtain the selection. The f... | da2848f9fbb4b6ed178e2d1c67f2aaf1f923bb30c91d0a02263b98329e3fd0b8_1_1 | ecb29ff0adcac22f6989632f9513f43a26d003a882cb4495b6a58228535b6ece |
Coding | codecontest | Write Python code to solve the task.
Kostya is a genial sculptor, he has an idea: to carve a marble sculpture in the shape of a sphere. Kostya has a friend Zahar who works at a career. Zahar knows about Kostya's idea and wants to present him a rectangular parallelepiped of marble from which he can carve the sphere.
Z... | Step 1: To solve this problem, we need to find the pair of stones that, when glued together, give the largest possible sphere.
Step 2: We can start by writing a function to calculate the volume of the sphere for a given pair of stones.
Step 3: Then, we need to iterate through all possible pairs of stones and calcula... | 6cccfee455f4e707455b9287a193a96575084b7e41199fdb81bdffafa41819a2_1_1 | ecb29ff0adcac22f6989632f9513f43a26d003a882cb4495b6a58228535b6ece |
Coding | codecontest | Write Python code to solve the task.
You are a product engineer and would like to improve the quality of duct tapes that your company manufactures. An entire tape can be represented as a single row of N cells. Each cell has its Stickiness factor, which stands for its ability to stick to an object. We say that a tape is... | Step 1: To solve this problem, we need to calculate the minimum number of augment operations needed to transform the tape into a good quality product.
Step 2: We can start by reading the input values for N, K, D, and the stickiness factors for each cell in the tape.
Step 3: Then, we can implement a function to calcu... | c86ff7f999d492b5ed28941dd1d8d066622bd701c5e88a8bcdda9a8958f51143_1_1 | 3506c3ad87b161339ab233b9a8f33e593313e8b7e11ab0aa836b148e4867b967 |
Coding | codecontest | Write Python code to solve the task.
You are a product engineer and would like to improve the quality of duct tapes that your company manufactures. An entire tape can be represented as a single row of N cells. Each cell has its Stickiness factor, which stands for its ability to stick to an object. We say that a tape is... | Step 1: The task requires creating a function that can calculate the minimum number of augment operations needed to transform a given tape to a good quality product.
Step 2: The input consists of the total number of cells, the size of the subarray for augmentation, and the stickiness factors for each cell. The functi... | c5304307874f14178350de68aad5ddce9e42685a4e4e0e6f18a1472c817aecdb_1_1 | 3506c3ad87b161339ab233b9a8f33e593313e8b7e11ab0aa836b148e4867b967 |
Coding | codecontest | Write Python code to solve the task.
Knights' tournaments were quite popular in the Middle Ages. A lot of boys were dreaming of becoming a knight, while a lot of girls were dreaming of marrying a knight on a white horse.
In this problem we consider one of these tournaments.
Let's us call a tournament binary, if it r... | Step 1: We need to find the number of initial configurations that will lead a knight with a particular strength to the final round of the tournament.
Step 2: To solve this problem, we need to calculate the combinatorial number of different arrangements and use modulo 10^9 + 9 for large numbers.
Step 3: Calculating t... | fbb862ec4b570ab980fd9d87aed15670dd9b1550814c015a095806dcb9abea82_1_1 | 88ce61a3c8d6ff4027816a64b2f509f13fa1c2824fd584a0be720c1eb35d88dd |
Coding | codecontest | Write Python code to solve the task.
Knights' tournaments were quite popular in the Middle Ages. A lot of boys were dreaming of becoming a knight, while a lot of girls were dreaming of marrying a knight on a white horse.
In this problem we consider one of these tournaments.
Let's us call a tournament binary, if it r... | Step 1: We need to calculate the number of initial configurations that will lead each participant to the final round
Step 2: To solve this problem, we can use a few important concepts such as permutations, combinations, and modulo arithmetic
Step 3: In each round, the total number of possibilities for which knight c... | 8b4731d6b34d059225b3e392ab8e29d91976f82ceb65d1bf0157b150afac4d46_1_1 | 88ce61a3c8d6ff4027816a64b2f509f13fa1c2824fd584a0be720c1eb35d88dd |
Coding | codecontest | Write Python code to solve the task.
Mike is given an undirected graph G of N vertices and M edges. A non-negative integer Xi is assigned to the i'th vertex of G, for 1 β€ i β€ N.
Mike was asked to assign labels to each edge of the graph so that the following condition is satisfied:
Let's suppose that the j'th edge... | Step 1: The overall goal is to determine if it's possible to create new values for Xi that produce the same values of Yj.
Step 2: We need to explore the entire graph and create new values for Xi using the XOR operation.
Step 3: We also need to determine if it's possible to output the K'th lexicographically valid seq... | 3f88bcbd6744a4b4ee68b1d7f40ce93099971f68ddfeede49d9f0b7acbe00d0b_1_1 | 57087891886997d2a01c0b795ba56418b26b8415d170b82b4572c1fbe3487848 |
Coding | codecontest | Write Python code to solve the task.
Mike is given an undirected graph G of N vertices and M edges. A non-negative integer Xi is assigned to the i'th vertex of G, for 1 β€ i β€ N.
Mike was asked to assign labels to each edge of the graph so that the following condition is satisfied:
Let's suppose that the j'th edge... | Step 1:
The problem asks us to determine if it is possible to assign values to vertices of a graph and calculate the labels of edges that satisfy specific conditions. We can use the concepts of graph theory and algorithmic techniques to approach this problem.
Step 2: We need to validate the correctness of the graph ... | d44e4879608b4a9ede93790004a0195cd7eeebfb3796144caca864f7d59b3c38_1_1 | 57087891886997d2a01c0b795ba56418b26b8415d170b82b4572c1fbe3487848 |
Coding | codecontest | Write Python code to solve the task.
Vanya has been studying all day long about sequences and other Complex Mathematical Terms. She thinks she has now become really good at it. So, her friend Vasya decides to test her knowledge and keeps the following challenge it front of her:
Vanya has been given an integer array A... | Step 1: The problem asks for the number of increasing sub-sequences of the array with a length of at least 1 and a GCD of 1.
Step 2: We need to count the number of increasing sub-sequences and check whether their GCD is 1.
Step 3: To solve this problem, we need to use dynamic programming to store the number of incre... | 3afbf29bdd363cb00518088f90326a07c9575ddfb926f7b4dfa70085fa238f17_1_1 | 05b3565f7bb48f8b5134caf87b379cf219e35dacabd03ee893b66dc7b3d3e667 |
Coding | codecontest | Write Python code to solve the task.
Vanya has been studying all day long about sequences and other Complex Mathematical Terms. She thinks she has now become really good at it. So, her friend Vasya decides to test her knowledge and keeps the following challenge it front of her:
Vanya has been given an integer array A... | Step 1: This problem involves finding the number of increasing subsequences in an array that have a GCD of 1.
Step 2: We need to identify the increasing subsequences and calculate their GCD to determine if it is equal to 1.
Step 3: To solve this problem, we can use dynamic programming to keep track of the increasing... | 5fd0313db9bba48d15821b12a54a4f04449ff4cc9506fe5d400024583532744a_1_1 | 05b3565f7bb48f8b5134caf87b379cf219e35dacabd03ee893b66dc7b3d3e667 |
Coding | codecontest | Write Python code to solve the task.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal.... | Step 1: The problem requires finding the count of infinite sequences based on particular constraints.
Step 2: The given code seems to calculate the number of sequences satisfying these conditions.
Step 3: It initializes an array 'a' of size 'n' and then seems to make some calculations based on the given constraints.... | b7eebf631afbdd983df0728e0b1e427da99004f81daf9f1474c2e14fcdfc3c6d_1_1 | 8efd4f83ab94572e1c5f748c603f590f9cac74f917f1dbbf8088682a7553260b |
Coding | codecontest | Write Python code to solve the task.
How many infinite sequences a_1, a_2, ... consisting of {{1, ... ,n}} satisfy the following conditions?
* The n-th and subsequent elements are all equal. That is, if n \leq i,j, a_i = a_j.
* For every integer i, the a_i elements immediately following the i-th element are all equal.... | Step 1: To solve this problem, we need to understand the conditions given and how to satisfy them in order to generate valid sequences.
Step 2: We can start by iterating through the index of elements and calculating values to satisfy the given conditions.
Step 3: We also need to ensure the calculation is performed m... | 36ed778c63611604870b0818fe3c6a29606544f63472ae3eea3ee2d4e51e4459_1_1 | 8efd4f83ab94572e1c5f748c603f590f9cac74f917f1dbbf8088682a7553260b |
Coding | codecontest | Write Python code to solve the task.
There are three horses living in a horse land: one gray, one white and one gray-and-white. The horses are really amusing animals, which is why they adore special cards. Each of those cards must contain two integers, the first one on top, the second one in the bottom of the card. Let... | Step 1: The question describes a scenario where Polycarpus wants to get a specific set of special cards and needs to go to the horse land to obtain them.
Step 2: The input consists of the number of special cards needed and the sequence of integers representing the special cards. The output should be the number of way... | 75e796af0bc5849156e79ce6c1f1c1a5e459f1894574aa53419afc0d017208f7_1_1 | e685b9cb764590e534f5d048393449b296abc5a448134388f349d1cd570b291b |
Coding | codecontest | Write Python code to solve the task.
There are three horses living in a horse land: one gray, one white and one gray-and-white. The horses are really amusing animals, which is why they adore special cards. Each of those cards must contain two integers, the first one on top, the second one in the bottom of the card. Let... | Step 1: To understand this problem, we need to figure out how Polycarpus can get the required special cards. This involves understanding the actions that can be performed by the horses and their painting capabilities.
Step 2: We also need to consider the constraints given for the input values and output the number of... | 7571803eb0c3e76639446f907a9e12ba461bfde47592896d7de6ac922ffd5c55_1_1 | e685b9cb764590e534f5d048393449b296abc5a448134388f349d1cd570b291b |
Coding | codecontest | Write Python code to solve the task.
As you know, majority of students and teachers of Summer Informatics School live in Berland for the most part of the year. Since corruption there is quite widespread, the following story is not uncommon.
Elections are coming. You know the number of voters and the number of parties ... | Step 1: The United Party needs to find the minimum number of bytecoins needed to ensure its victory in the elections.
Step 2: We know the number of voters, the number of parties, the voter's preferred party, and the number of bytecoins needed for each voter to reconsider their decision.
Step 3: We can approach the p... | d4fec14c5ac2101ad0667aeec3640a2e8b3db0d801f35bebcb07f632e8f59052_1_1 | 51d7348aef7ad4970256c6f851fc736f571d8a2f03bd999441edcbe18de927d6 |
Coding | codecontest | Write Python code to solve the task.
As you know, majority of students and teachers of Summer Informatics School live in Berland for the most part of the year. Since corruption there is quite widespread, the following story is not uncommon.
Elections are coming. You know the number of voters and the number of parties ... | Step 1: The problem requires determining the amount of money The United Party needs to spend to ensure its victory in the elections.
Step 2: To solve this, we'll analyze the votes each party has and calculate the minimum amount of money needed for The United Party to have more votes than any other party.
Step 3: We ... | e56954c3572ce2ee9f8d7243722a701a35d16bf4c0604e3ccdd58da7af35372f_1_1 | 51d7348aef7ad4970256c6f851fc736f571d8a2f03bd999441edcbe18de927d6 |
Coding | codecontest | Write Python code to solve the task.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i, such that:
* p_i is divisible by x_i;... | Step 1: The problem requires finding the greatest integer x such that p is divisible by x, and x is not divisible by q for each pair of integers.
Step 2: One way to approach this is by factoring q and p, then finding the greatest integer that meets the divisibility conditions.
Step 3: A function to factorize a numbe... | 850ea8af2e9535ce9242ae737284d26a24a80e7fdffb82de0dcddb6a324b2ee1_1_1 | cad5d292d5f0fad42e7167e4e372424bab58d464e06ca2f090560e5e14d769a3 |
Coding | codecontest | Write Python code to solve the task.
Oleg's favorite subjects are History and Math, and his favorite branch of mathematics is division.
To improve his division skills, Oleg came up with t pairs of integers p_i and q_i and for each pair decided to find the greatest integer x_i, such that:
* p_i is divisible by x_i;... | Step 1: The problem tasks us with finding the largest integer that is a divisor of a number p but is not divisible by another number q.
Step 2: To solve this problem, we can start by decomposing the number q into its prime factors, as they will help us determine the divisors.
Step 3: We then need to consider the div... | 6fa750fa16fcdc01b91703fbb2186397cd8b84c161b340786d9222d438740bc5_1_1 | cad5d292d5f0fad42e7167e4e372424bab58d464e06ca2f090560e5e14d769a3 |
Coding | codecontest | Write Python code to solve the task.
Let's consider a k Γ k square, divided into unit squares. Please note that k β₯ 3 and is odd. We'll paint squares starting from the upper left square in the following order: first we move to the right, then down, then to the left, then up, then to the right again and so on. We finish... | Step 1: The problem at hand can be solved using dynamic programming.
Step 2: The objective is to find the sum of numbers in all possible spirals formed by the table cells and then return the maximum of those values among all spirals.
Step 3: To solve this problem, we can create a 2D array to store the sum of numbers... | 17b58ad232ad8d90b6571b79ecdde4b0cc4e62fc8f25d402792aff66a3133c44_1_1 | 799cc58a388b18aa0c01df811a6cc69246b46b3299fe0a5286160f89ca6a3c34 |
Coding | codecontest | Write Python code to solve the task.
Let's consider a k Γ k square, divided into unit squares. Please note that k β₯ 3 and is odd. We'll paint squares starting from the upper left square in the following order: first we move to the right, then down, then to the left, then up, then to the right again and so on. We finish... | Step 1: The problem given is a numeric matrix traversal problem. We need to consider all possible spirals formed by the table cells, such that the spirals of any size don't go beyond the borders of the table.
Step 2: We first calculate the sum of numbers of cells that form the spiral for each spiral and then we find ... | c64ce9845073e5988d33946a0a4881c931ce6a90bf2d2d4bc36517ded120f38a_1_1 | 799cc58a388b18aa0c01df811a6cc69246b46b3299fe0a5286160f89ca6a3c34 |
Coding | codecontest | Write Python code to solve the task.
Spongebob is already tired trying to reason his weird actions and calculations, so he simply asked you to find all pairs of n and m, such that there are exactly x distinct squares in the table consisting of n rows and m columns. For example, in a 3 Γ 5 table there are 15 squares wit... | Step 1: To solve this problem, we need to find all pairs of n and m, such that there are exactly x distinct squares in the table consisting of n rows and m columns.
Step 2: We can calculate the number of squares for each set of n and m values and compare the sum to the given x to find the pairs.
Step 3: Also, since ... | dfece01485a5d878cbbeff663b7bbe46203879915eb83b5f661a64e71006d54f_1_1 | 8ec2ceb92f735b0f44957d327b4bba1abd18397b9221c7df8fdce185d2dbc9e2 |
Coding | codecontest | Write Python code to solve the task.
Spongebob is already tired trying to reason his weird actions and calculations, so he simply asked you to find all pairs of n and m, such that there are exactly x distinct squares in the table consisting of n rows and m columns. For example, in a 3 Γ 5 table there are 15 squares wit... | Step 1: The problem states that we need to find all pairs of n and m such that there are exactly x distinct squares in a table consisting of n rows and m columns.
Step 2: We can solve this problem using a brute force approach to iterate through possible n and m values and check the total number of distinct squares.
S... | 3e9038b31a233e52fd79e345648a0a2e6abb85c5867b5c7a0adc44043041140b_1_1 | 8ec2ceb92f735b0f44957d327b4bba1abd18397b9221c7df8fdce185d2dbc9e2 |
Coding | codecontest | Write Python code to solve the task.
Little boy Gerald studies at school which is quite far from his house. That's why he has to go there by bus every day. The way from home to school is represented by a segment of a straight line; the segment contains exactly n + 1 bus stops. All of them are numbered with integers fro... | Step 1: The problem involves calculating the number of ways Gerald can get from home to school by taking different buses from the given bus stops.
Step 2: To solve this problem, we need to process the input data and identify the bus segments available between different bus stops.
Step 3: We need to determine the num... | f17b0e8b5ff012d265e5cf9cb5d97f77cf872d26bb8c61705f3697373121074b_1_1 | d5c09efab79b77fc56e3da7629d9c14bb667a4d4552f7b36ee7adc666b644380 |
Coding | codecontest | Write Python code to solve the task.
Little boy Gerald studies at school which is quite far from his house. That's why he has to go there by bus every day. The way from home to school is represented by a segment of a straight line; the segment contains exactly n + 1 bus stops. All of them are numbered with integers fro... | Step 1: The problem involves finding the number of ways for Little boy Gerald to get from home to school using the given buses and stops.
Step 2: We need to read the input which consists of the number of bus stops and the buses running between the stops.
Step 3: We also need to convert the stop numbers and bus data ... | e2d9c1c8289abf59dd7c6f557aa3f3f34262d85656660b75346f6cea850011ef_1_1 | d5c09efab79b77fc56e3da7629d9c14bb667a4d4552f7b36ee7adc666b644380 |
Coding | codecontest | Write Python code to solve the task.
Taro is playing with a puzzle that places numbers 1-9 in 9x9 squares. In this puzzle, you have to arrange the numbers according to the following rules.
* One number appears exactly once in the same column
* A number appears exactly once on the same line
* In each of the 3x3 ranges ... | Step 1: The goal is to create a program to check if a given arrangement of numbers in a 9x9 grid follows certain rules.
Step 2: We need to define and implement a function to perform the checking based on the given rules.
Step 3: The function should consider the occurrences of numbers in rows, columns, and 3x3 sub-gr... | f865a9eb538cb4326175e3a967746b89db8effd5dacb8b07681016f5a08c347e_1_1 | 8751e15af267b2640ce80cdab05a91372daad4317d1039041fbcbb0a22727704 |
Coding | codecontest | Write Python code to solve the task.
Taro is playing with a puzzle that places numbers 1-9 in 9x9 squares. In this puzzle, you have to arrange the numbers according to the following rules.
* One number appears exactly once in the same column
* A number appears exactly once on the same line
* In each of the 3x3 ranges ... | Step 1: The problem requires us to check the validity of the given arrangement of numbers in a puzzle according to the specified rules. We need to identify the incorrect numbers by adding "*" before the number that violates the rules.
Step 2: The rules indicate that a number should appear exactly once in each row, co... | e7e4a95fd526d1c47c3cc8cb5a6c6775d0f7c0c00204c16cef8b782000c97db6_1_1 | 8751e15af267b2640ce80cdab05a91372daad4317d1039041fbcbb0a22727704 |
Coding | codecontest | Write Python code to solve the task.
A girl named Sonya is studying in the scientific lyceum of the Kingdom of Kremland. The teacher of computer science (Sonya's favorite subject!) invented a task for her.
Given an array a of length n, consisting only of the numbers 0 and 1, and the number k. Exactly k times the follo... | Step 1:
The problem requires finding the probability that after k operations of swapping two numbers, the original array will be sorted in non-decreasing order. We need to understand how to calculate this probability based on the given input.
We can break down the calculation of the probability into several steps, inc... | 28ba04389a9f1e3f0e3db698a15cd0998660d882e681636e3a003524aab8a556_1_1 | d546a4689589c348401b0ac2be364c4886ed09e4e0d7bf1aeaae1467003c0cf5 |
Coding | codecontest | Write Python code to solve the task.
A girl named Sonya is studying in the scientific lyceum of the Kingdom of Kremland. The teacher of computer science (Sonya's favorite subject!) invented a task for her.
Given an array a of length n, consisting only of the numbers 0 and 1, and the number k. Exactly k times the follo... | Step 1: The problem requires calculating the probability that a given array will be sorted in non-decreasing order after a certain number of operations.
Step 2: The approach involves analyzing the given array, determining the probability based on the array's characteristics, and performing mathematical computations t... | 536e14f80bf6c9f7cd08509f93fa5c33f0bc774356fc44cbe02bf9f2c0a92f3b_1_1 | d546a4689589c348401b0ac2be364c4886ed09e4e0d7bf1aeaae1467003c0cf5 |
Coding | codecontest | Write Python code to solve the task.
You are given a sequence b_1, b_2, β¦, b_n. Find the lexicographically minimal permutation a_1, a_2, β¦, a_{2n} such that b_i = min(a_{2i-1}, a_{2i}), or determine that it is impossible.
Input
Each test contains one or more test cases. The first line contains the number of test case... | Step 1: The problem asks to find the lexicographically minimal permutation that satisfies the given condition.
Step 2: We need to implement a function that checks for a possible permutation and construct the permutation based on the given sequence.
Step 3: We should keep track of the elements used in the permutation... | ab2069be17fba224d98aaa6be57d640a258001a689d4105bc7773b849b40bfb2_1_1 | 1ea4e0bd3bd81964f562346e3d1aee083b9d65be2b939756f16ac01f6977a6e8 |
Coding | codecontest | Write Python code to solve the task.
You are given a sequence b_1, b_2, β¦, b_n. Find the lexicographically minimal permutation a_1, a_2, β¦, a_{2n} such that b_i = min(a_{2i-1}, a_{2i}), or determine that it is impossible.
Input
Each test contains one or more test cases. The first line contains the number of test case... | Step 1: The problem involves reordering a given sequence b to construct a new permutation a that meets the specified criteria. We can implement a function to check if such a permutation can be formed and compute it if possible. If not, we need to determine if it is impossible and return -1.
Step 2: We also need to so... | 72d2a55efc8455cd4e2ee8641ebb2ba683f2748fe2d08679ed0d041756eae863_1_1 | 1ea4e0bd3bd81964f562346e3d1aee083b9d65be2b939756f16ac01f6977a6e8 |
Coding | codecontest | Write Python code to solve the task.
Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes.
Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are consider... | Step 1: The solution can be implemented in the following steps:
Step 2: 1. Read the input values n and k, and store the quatrains in a list.
Step 3: 2. Define a function to check the rhymes for a given quatrain and compute the suffixes for each line in the quatrain.
Step 4: 3. Using the suffixes of the lines, check... | 7802243f630e06e7209743081e067d2daa3d92a0fdb6c870e998a1800996e289_1_1 | 218726c081ed236dc625c0e6f5beea7b1405b94109f05bf1c76172796e9d9687 |
Coding | codecontest | Write Python code to solve the task.
Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes.
Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "e", "i", "o", "u" are consider... | Step 1: The problem requires us to determine the rhyme scheme of a given poem based on the suffixes of the lines and specific rules for rhyming.
Step 2: We need to iterate through the lines of each quatrain, extract the suffixes based on the given vowel number, and determine the rhyme scheme for each quatrain.
Step 3... | 7d8835a62241ba517376babb55d13668f0164de38781ee317101b44ec8243a2e_1_1 | 218726c081ed236dc625c0e6f5beea7b1405b94109f05bf1c76172796e9d9687 |
Coding | codecontest | Write Python code to solve the task.
An exam consists of N questions. The marks of the N questions are m1, m2, m3, .. mN respectively.
Jam is giving the exam and he wants to maximise his number of marks.
However he takes some time to solve each question. The time taken by him to solve the questions are t1, t2, t3, .. t... | Step 1: To solve this problem, we need to find the maximum number of marks that Jam can achieve within the given time T.
Step 2: We can use dynamic programming to solve this problem, where we consider the marks and time taken for each question.
Step 3: We can create a 2D array to store the maximum marks achievable a... | c296698ee1a6c545a554ea44dc72ad5e6f492e62a8b8e49686ac35965a5e27a9_1_1 | ee51682513146ee7cd503f7baf5c4fc50ce1c39d9c0e065a6db7b712fe25a527 |
Coding | codecontest | Write Python code to solve the task.
An exam consists of N questions. The marks of the N questions are m1, m2, m3, .. mN respectively.
Jam is giving the exam and he wants to maximise his number of marks.
However he takes some time to solve each question. The time taken by him to solve the questions are t1, t2, t3, .. t... | Step 1: To solve this problem, we need to consider the time taken to solve each question and the maximum marks that can be achieved by doubling the marks for one question.
Step 2: To maximize the total marks, we can use dynamic programming to keep track of the maximum marks that can be achieved within the given time.... | 697e24ead5810d6a45b855d52b5d7c785120e9364c5f0b736893690e5a68790e_1_1 | ee51682513146ee7cd503f7baf5c4fc50ce1c39d9c0e065a6db7b712fe25a527 |
Coding | codecontest | Write Python code to solve the task.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are in... | Step 1: The problem involves finding the number of possible values of the sum of a selected set of consecutive integers.
Step 2: We need to iterate through the possible number of chosen integers and calculate the possible sum for each case.
Step 3: The sum calculations should take modulo (10^9+7) to avoid overflow f... | 0521086f2b9e1ada416b39b70dd1fa082998d19c472444b8e8b8f00d6a46ac02_1_1 | 9e74f0d117c0bd58809ab38633300f91442f43d370ee1d0cf2552d6ceb87b451 |
Coding | codecontest | Write Python code to solve the task.
We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
Constraints
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq N+1
* All values in input are in... | Step 1: The problem requires us to find the number of possible values of the sum of K or more integers within a specific range.
Step 2: We know that the sum of an arithmetic series can be calculated using the formula (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term.
Step 3: B... | 50c0efea9e0052eb36564665abd871c95474e89068613914560f1f2a75e1c164_1_1 | 9e74f0d117c0bd58809ab38633300f91442f43d370ee1d0cf2552d6ceb87b451 |
Coding | codecontest | Write Python code to solve the task.
[INSPION FullBand Master - INSPION](https://www.youtube.com/watch?v=kwsciXm_7sA)
[INSPION - IOLITE-SUNSTONE](https://www.youtube.com/watch?v=kwsciXm_7sA)
On another floor of the A.R.C. Markland-N, the young man Simon "Xenon" Jackson, takes a break after finishing his project early... | Step 1: To solve this problem, we need to determine the maximum possible value of S for a given network of gangs.
Step 2: We can start by creating a graph representation of the network, where the nodes represent the gangs and the edges represent the direct links between the gangs.
Step 3: We can then use dynamic pro... | d45b5d0915bd786c1e2d490e880862eea786e291c4e81e5af72ddf927d199d21_1_1 | 80db91c63db3420c679f62c6b39a43ed048787ebb4755474f394611a723438b1 |
Coding | codecontest | Write Python code to solve the task.
[INSPION FullBand Master - INSPION](https://www.youtube.com/watch?v=kwsciXm_7sA)
[INSPION - IOLITE-SUNSTONE](https://www.youtube.com/watch?v=kwsciXm_7sA)
On another floor of the A.R.C. Markland-N, the young man Simon "Xenon" Jackson, takes a break after finishing his project early... | Step 1: The problem involves finding the maximum possible number of layers of passwords in a network of gangs. Essentially, the problem is about computing the value of 'S' based on the given input.
Step 2: The solution involves reading the input, constructing a graph based on the links between gangs, and then perform... | f29fb411b1cad6bcc86c8b93704edd7a93fee6322f7b0c99981c77d98e21412f_1_1 | 80db91c63db3420c679f62c6b39a43ed048787ebb4755474f394611a723438b1 |
Coding | codecontest | Write Python code to solve the task.
You are given a grid with n rows and m columns, where each cell has a non-negative integer written on it. We say the grid is good if for each cell the following condition holds: if it has a number k > 0 written on it, then exactly k of its neighboring cells have a number greater tha... | Step 1:
The problem requires examining the numbers in the grid and determining whether the grid is good. There is a condition for each cell's value that needs to be satisfied by the neighboring cells. If a cell has a number k > 0 written on it, then exactly k of its neighboring cells should have a number greater than ... | dcf639d427cd650f55af08a4865c79fedac1afd2c52a6ad7f5bc914145e6cc68_1_1 | b9f39e482bf5062030f3b8816fb536a158f34702a0cf6baede0d0f9c130a82a8 |
Coding | codecontest | Write Python code to solve the task.
You are given a grid with n rows and m columns, where each cell has a non-negative integer written on it. We say the grid is good if for each cell the following condition holds: if it has a number k > 0 written on it, then exactly k of its neighboring cells have a number greater tha... | Step 1: The input consists of multiple test cases, so we need to loop through each test case and process the grid for each one.
Step 2: Each test case requires checking for the condition of a good grid and modifying the cells to satisfy the condition if possible.
Step 3: The condition for a good grid requires checki... | cc6eb15ef2f916f19dae97a7e0391f2e21c09faad5e9aa9e9bbdbf5e16f5e1eb_1_1 | b9f39e482bf5062030f3b8816fb536a158f34702a0cf6baede0d0f9c130a82a8 |
Coding | codecontest | Write Python code to solve the task.
PolandBall has such a convex polygon with n veritces that no three of its diagonals intersect at the same point. PolandBall decided to improve it and draw some red segments.
He chose a number k such that gcd(n, k) = 1. Vertices of the polygon are numbered from 1 to n in a clockwis... | Step 1: The problem requires us to calculate the number of polygon's sections after each drawing following a specific process described.
Step 2: We need to iterate through the drawing process n times, starting from vertex 1.
Step 3: In each iteration, we draw a red segment from the current vertex to the k-th next ve... | ec334cdc7b1ca168df94582047396f94d8a055c8698689b6c1f32be32fa479f5_1_1 | 0ee666c503905309d8677f2fc1ea56fd61427883e2296b0299d48ca94642be30 |
Coding | codecontest | Write Python code to solve the task.
PolandBall has such a convex polygon with n veritces that no three of its diagonals intersect at the same point. PolandBall decided to improve it and draw some red segments.
He chose a number k such that gcd(n, k) = 1. Vertices of the polygon are numbered from 1 to n in a clockwis... | Step 1: To solve this problem, we need to calculate the number of polygon's sections after drawing a certain number of lines.
Step 2: We can start by initializing the input values n and k, and then modify k to ensure that we work with the correct range of vertices for the next operation.
Step 3: Then, we can iterate... | 9a0b8d99067edbdb07f9145acbb85d904a80439b5a975ddd11bf956e322aaf70_1_1 | 0ee666c503905309d8677f2fc1ea56fd61427883e2296b0299d48ca94642be30 |
Coding | codecontest | Write Python code to solve the task.
Reforms have started in Berland again! At this time, the Parliament is discussing the reform of the calendar. To make the lives of citizens of Berland more varied, it was decided to change the calendar. As more and more people are complaining that "the years fly by...", it was decid... | Step 1: To tackle this problem, we need to consider the constraints for the year lengths and the number of years, as well as the rules for choosing the number of days in each month.
Step 2: We will need to implement a function that uses recursion to compute the required number of sheets of paper for a given year len... | fb846e7e840969da9bd16f80f87436cd70919a48adda0b41b7fe8323060db909_1_1 | bf947bf832993f81a17e02da351b1e8d368cef003fc6129691047346ec01b79d |
Coding | codecontest | Write Python code to solve the task.
Reforms have started in Berland again! At this time, the Parliament is discussing the reform of the calendar. To make the lives of citizens of Berland more varied, it was decided to change the calendar. As more and more people are complaining that "the years fly by...", it was decid... | Step 1: To solve this problem, we need to determine the number of sheets of paper required to print calendars for n years, following the rules described in the problem.
Step 2: The main approach involves using dynamic programming to calculate the number of squares needed for each year, referencing the values for prev... | fe0cd857938b5327235824a44ddc5869ef0cdc82286d462fc8478ee165822a7c_1_1 | bf947bf832993f81a17e02da351b1e8d368cef003fc6129691047346ec01b79d |
Coding | codecontest | Write Python code to solve the task.
Anton goes to school, his favorite lessons are arraystudying. He usually solves all the tasks pretty fast, but this time the teacher gave him a complicated one: given two arrays b and c of length n, find array a, such that:
<image>
where a and b means bitwise AND, while a or b mea... | Step 1: To solve this problem, we need to calculate the elements of array a based on the elements of arrays b and c, ensuring that the given equation is satisfied.
Step 2: We can start by reading the input, which includes the size of arrays b and c, and the elements of the arrays.
Step 3: We then calculate array D b... | 9587665013b44c242363379cc13153f6435acc7c63305d03af7adac734271cd1_1_1 | db059df273d1b0694c9e0dff0f5df760cbd0f4448795ac9164863965a13c4ea5 |
Coding | codecontest | Write Python code to solve the task.
Anton goes to school, his favorite lessons are arraystudying. He usually solves all the tasks pretty fast, but this time the teacher gave him a complicated one: given two arrays b and c of length n, find array a, such that:
<image>
where a and b means bitwise AND, while a or b mea... | Step 1: The problem asks to find array A such that (A and B) + (A or C) for each corresponding element bi and ci of arrays B and C, which has a specific formula to calculate the value of array A.
Step 2: To solve the problem, we need to first calculate array D which represents the addition of elements of arrays B and... | 0459e120bab10ed4076e1430e9956b81be7470f2b9412813b707dc0443a8801f_1_1 | db059df273d1b0694c9e0dff0f5df760cbd0f4448795ac9164863965a13c4ea5 |
Coding | codecontest | Write Python code to solve the task.
You are given n numbers a_1, a_2, β¦, a_n. Is it possible to arrange them in a circle in such a way that every number is strictly less than the sum of its neighbors?
For example, for the array [1, 4, 5, 6, 7, 8], the arrangement on the left is valid, while arrangement on the right i... | Step 1: To solve this problem, we need to check if it is possible to arrange the given numbers in a circle in such a way that every number is strictly less than the sum of its neighbors.
Step 2: We can start by defining a function to check if a given arrangement of numbers meets the condition.
Step 3: After that, we... | e9884e90b21eb9143aabc907894e93ff8023be767f94e9c88cd76ecd6077e094_1_1 | 789633c9eb49646f77b3277077115e42a5b18e8bbe60e0f3ae3c4959ffb87274 |
Coding | codecontest | Write Python code to solve the task.
You are given n numbers a_1, a_2, β¦, a_n. Is it possible to arrange them in a circle in such a way that every number is strictly less than the sum of its neighbors?
For example, for the array [1, 4, 5, 6, 7, 8], the arrangement on the left is valid, while arrangement on the right i... | Step 1:
To determine if it's possible to arrange n numbers in a circle in such a way that every number is strictly less than the sum of its neighbors, we need to check if there is any arrangement that satisfies this condition. We can sort the numbers in ascending order and then check if there is any valid arrangement ... | f5370dedc13ffa7fde49758374b8e0e94ad1c43553014006af2618779d762191_1_1 | 789633c9eb49646f77b3277077115e42a5b18e8bbe60e0f3ae3c4959ffb87274 |
Coding | codecontest | Write Python code to solve the task.
Maxim has opened his own restaurant! The restaurant has got a huge table, the table's length is p meters.
Maxim has got a dinner party tonight, n guests will come to him. Let's index the guests of Maxim's restaurant from 1 to n. Maxim knows the sizes of all guests that are going to... | Step 1: The problem involves calculating the average number of visitors who have come to the restaurant for all possible n! orders of guests in the queue.
Step 2: To solve this problem, we need to consider the possible orderings of the guests and calculate the average number of visitors for each ordering.
Step 3: We... | fc71fa294f23d9f14626b9e83bf0d6fcff6e80dc47853a8db774707972a54ee8_1_1 | 272076c3743638636d9d5865a604d0219b5c0be09b192955ec6565eb59b7c047 |
Coding | codecontest | Write Python code to solve the task.
Maxim has opened his own restaurant! The restaurant has got a huge table, the table's length is p meters.
Maxim has got a dinner party tonight, n guests will come to him. Let's index the guests of Maxim's restaurant from 1 to n. Maxim knows the sizes of all guests that are going to... | Step 1: To solve this problem, we first need to calculate the average number of visitors for all possible combinations of guest orders.
Step 2: We have to consider each possible permutation of the guest sizes and calculate the number of visitors based on each permutation.
Step 3: To calculate the average number of v... | ad89d08064dfcc6e84d807ec589c746cc1773f1de74d3030e8367f798af74cbf_1_1 | 272076c3743638636d9d5865a604d0219b5c0be09b192955ec6565eb59b7c047 |
Coding | codecontest | Write Python code to solve the task.
Maksim walks on a Cartesian plane. Initially, he stands at the point (0, 0) and in one move he can go to any of four adjacent points (left, right, up, down). For example, if Maksim is currently at the point (0, 0), he can go to any of the following points in one move:
* (1, 0); ... | Step 1: To solve this problem, we need to find the minimum total distance Maksim has to travel to visit all the key points.
Step 2: We can start by parsing the input to get the coordinates of the key points.
Step 3: Then, we can calculate the distance between points and use a dynamic programming approach to find the... | 9b0bdb15a0e3248196ddd78ecde8c7475de77a7725699e553f1dc1a66a101707_1_1 | 59ad2eef380cd4cb0658b7b4c4bfdf1b2ee19c66025a7c2b8638767cfe58edaa |
Coding | codecontest | Write Python code to solve the task.
Maksim walks on a Cartesian plane. Initially, he stands at the point (0, 0) and in one move he can go to any of four adjacent points (left, right, up, down). For example, if Maksim is currently at the point (0, 0), he can go to any of the following points in one move:
* (1, 0); ... | Step 1: The problem is asking to visit all the key points in such a way that the total distance Maksim has to travel will be minimised.
Step 2: We need to calculate the distance between each pair of points and find the optimal path to visit each point.
Step 3: One way to approach the problem is to use a dynamic prog... | 6cf8baa5a271f686e2af8ee419445853bc13fb65eb56d39a2791755481ecaeda_1_1 | 59ad2eef380cd4cb0658b7b4c4bfdf1b2ee19c66025a7c2b8638767cfe58edaa |
Coding | codecontest | Write Python code to solve the task.
Learn, learn and learn again β Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students lar... | Step 1: To solve this problem, we need to find the maximum total sum of the sequence that can be obtained by applying the described operations.
Step 2: We can consider the impact of multiplying prefixes and suffixes of the sequence by -1 on the total sum.
Step 3: We will iterate through the sequence and calculate ... | e3be73755de5ceffa60e289e2d09fefdde913c8162d26ec2074dcdde8701a9d4_1_1 | e0c6fc05ec09b1b605715c90fcbe59d116bdffd98ae4159136723bdef597d7b5 |
Coding | codecontest | Write Python code to solve the task.
Learn, learn and learn again β Valera has to do this every day. He is studying at mathematical school, where math is the main discipline. The mathematics teacher loves her discipline very much and tries to cultivate this love in children. That's why she always gives her students lar... | Step 1: The problem requires finding the maximum possible total sum of the sequence by applying the described operations.
Step 2: The sequence can be changed by multiplying a prefix or suffix with -1.
Step 3: To solve this problem, we can use a greedy approach to find the maximum total sum.
Step 4: We can iterate... | 04357e8db6b4df07fee6f9e2cfbab6fec5841bd2b5857288226dc63a8877118d_1_1 | e0c6fc05ec09b1b605715c90fcbe59d116bdffd98ae4159136723bdef597d7b5 |
Coding | codecontest | Write Python code to solve the task.
One day, little Vasya found himself in a maze consisting of (n + 1) rooms, numbered from 1 to (n + 1). Initially, Vasya is at the first room and to get out of the maze, he needs to get to the (n + 1)-th one.
The maze is organized as follows. Each room of the maze has two one-way po... | Step 1: The problem requires us to simulate an algorithm that helps Vasya to get out of the maze.
Step 2: We are given n rooms and the number associated with each room represents the target room Vasya can reach using the second portal.
Step 3: We need to calculate the number of portal moves Vasya needs to make in or... | e4c0107f13af471bcf23833c203feb74cad712144835f4a31080aecae1c72383_1_1 | b9d1f8aaa5efdfb14a105bba0b1f52279903dcd2c5128fbeaf396ff0b24a896b |
Coding | codecontest | Write Python code to solve the task.
One day, little Vasya found himself in a maze consisting of (n + 1) rooms, numbered from 1 to (n + 1). Initially, Vasya is at the first room and to get out of the maze, he needs to get to the (n + 1)-th one.
The maze is organized as follows. Each room of the maze has two one-way po... | Step 1: To solve this problem, we need to determine the number of times Vasya needs to use portals to get to the final room.
Step 2: The problem states that each room has two one-way portals, and Vasya's choice of portal depends on the number of crosses on the ceiling.
Step 3: We can use a dynamic programming approa... | c94d55ff41c7f041c8763275bf8a0d8826b4b6e41ab182b6c2c8ada1d84db8c3_1_1 | b9d1f8aaa5efdfb14a105bba0b1f52279903dcd2c5128fbeaf396ff0b24a896b |
Coding | codecontest | Write Python code to solve the task.
In this problem you have to simulate the workflow of one-thread server. There are n queries to process, the i-th will be received at moment ti and needs to be processed for di units of time. All ti are guaranteed to be distinct.
When a query appears server may react in three possib... | Step 1: To solve this problem, we need to simulate the sequence of queries processing by the server.
Step 2: We can store the queries in a list, which represents the chronological order of queries received.
Step 3: Then, we can iterate through each query and simulate the progression of the server's processing state ... | 1b9afce01233c3ca470a5c76b50c99a7e50abc68eeeabbd45b41834b80a51207_1_1 | e8915f7f561b1d2fddb710734debc89c3b3337f87777fca1d504157bf832cce0 |
Coding | codecontest | Write Python code to solve the task.
In this problem you have to simulate the workflow of one-thread server. There are n queries to process, the i-th will be received at moment ti and needs to be processed for di units of time. All ti are guaranteed to be distinct.
When a query appears server may react in three possib... | Step 1: The problem requires simulating the workflow of a one-thread server to process a series of queries.
Step 2: The maximum queue size (b) and the time each query takes to process need to be considered.
Step 3: The server can react in three ways when a query appears: start processing it, add it to the queue if t... | 5546d298420781cca663befbd0fc525c0f8ce5da9ef7d53b3cfcca092db32047_1_1 | e8915f7f561b1d2fddb710734debc89c3b3337f87777fca1d504157bf832cce0 |
Coding | codecontest | Write Python code to solve the task.
Polycarp watched TV-show where k jury members one by one rated a participant by adding him a certain number of points (may be negative, i. e. points were subtracted). Initially the participant had some score, and each the marks were one by one added to his score. It is known that th... | Step 1: The problem requires determining the number of options for the score the participant could have before the judges rated the participant.
Step 2: This involves iterating through the given marks and remembered points to calculate the initial score the participant could have before being rated.
Step 3: The main... | ab0f382269227266aa5980f6d8cc00d6f3b592e4ba1ccf7ab43a96ae4ee3dd21_1_1 | 9232115e02f875fe6c51b13c8a19d4ef3ee1d64129c86486421773659e2dd60e |
Coding | codecontest | Write Python code to solve the task.
Polycarp watched TV-show where k jury members one by one rated a participant by adding him a certain number of points (may be negative, i. e. points were subtracted). Initially the participant had some score, and each the marks were one by one added to his score. It is known that th... | Step 1: The problem requires us to process the input data and determine the number of options for the score the participant could have before the judges rated the participant.
Step 2: First, we need to parse the input values and understand the conditions and constraints specified in the problem.
Step 3: Then, we nee... | 8b69a385385f58fee25ce19396d0e0bea8ebb05c3ebbbd9c0a75b992eac476bc_1_1 | 9232115e02f875fe6c51b13c8a19d4ef3ee1d64129c86486421773659e2dd60e |
Coding | codecontest | Write Python code to solve the task.
You all know that the Library of Bookland is the largest library in the world. There are dozens of thousands of books in the library.
Some long and uninteresting story was removed...
The alphabet of Bookland is so large that its letters are denoted by positive integers. Each lette... | Step 1:
The task is to help Denis create a sequence of words in lexicographical order by changing some letters to large (capitalizing). Denis can choose a letter and change all of its occurrences in all the words to large. We need to determine whether it is possible to capitalize some set of letters in such a way that... | 830570872cc6a08ac0b8e8dd613c9fa6b6f5a38bc129d878ce3d8e1a7bc85219_1_1 | 48d0c3b4586187bfa6b08d36a11c41408263a79cde2e9c46fea18ba11848ff42 |
Coding | codecontest | Write Python code to solve the task.
You all know that the Library of Bookland is the largest library in the world. There are dozens of thousands of books in the library.
Some long and uninteresting story was removed...
The alphabet of Bookland is so large that its letters are denoted by positive integers. Each lette... | Step 1:
The final solution provided in the gt attempts to solve the problem using Python, where it first processes the input and then determines whether the sequence of words can be made lexicographically ordered by changing some letters to their large version. The solution uses a combination of graph theory and topol... | 3bd4487ee593d2b8e50bdd7c41b739cf919b661e335c928e68f0cc74e8adbcc7_1_1 | 48d0c3b4586187bfa6b08d36a11c41408263a79cde2e9c46fea18ba11848ff42 |
Coding | codecontest | Write Python code to solve the task.
One Martian boy called Zorg wants to present a string of beads to his friend from the Earth β Masha. He knows that Masha likes two colours: blue and red, β and right in the shop where he has come, there is a variety of adornments with beads of these two colours. All the strings of b... | Step 1: This problem requires us to generate all possible strings of beads of length n and then choose the k-th string based on certain rules.
Step 2: We can use backtracking to generate all possible strings and determine the index of the k-th string.
Step 3: We'll define a recursive function to generate all possibl... | ee27a3c6ab07e435afe5174c4a450ade332cb74406acaf0877287ce308a47f27_1_1 | 05f5555bddd259f626cafe70e9c2666ef56f9b928d924a7ae560162c3be10e49 |
Coding | codecontest | Write Python code to solve the task.
One Martian boy called Zorg wants to present a string of beads to his friend from the Earth β Masha. He knows that Masha likes two colours: blue and red, β and right in the shop where he has come, there is a variety of adornments with beads of these two colours. All the strings of b... | Step 1: The problem seems to involve generating all possible strings of beads based on the conditions provided and then selecting the k-th string.
Step 2: We need to first understand the logic of generating the strings based on the given conditions, and then find the k-th string from the generated list.
Step 3: It ... | dbceff5519d7fc0e1c202b6600401b4daa6500a8384450a3356ec05cff8b667f_1_1 | 05f5555bddd259f626cafe70e9c2666ef56f9b928d924a7ae560162c3be10e49 |
Coding | codecontest | Write Python code to solve the task.
A brave princess in a poor country's tomboy is married to another country for a political marriage. However, a villain who is trying to kill the princess is releasing a thug on the way to his wife.
You have already decided on a safe route to safely deliver the princess to the other... | Step 1: The problem is asking us to minimize the number of bandits and thugs attacking the princess as she travels to her destination.
Step 2: We need to find an optimal hiring strategy for hiring escorts while considering the budget and the possibility of attacks.
Step 3: The problem provides multiple datasets, and... | de6bf7afb949e1e729b6b48fb2b6114b37333f9e037d145cfc9401bbe7f2c068_1_1 | b08382752363897bc5eb555de9295a8e2133dad3c2732bf5cc04f0558ab64240 |
Coding | codecontest | Write Python code to solve the task.
A brave princess in a poor country's tomboy is married to another country for a political marriage. However, a villain who is trying to kill the princess is releasing a thug on the way to his wife.
You have already decided on a safe route to safely deliver the princess to the other... | Step 1: In order to solve this problem, we can use Dijkstra's algorithm to calculate the minimum costs for each road.
Step 2: We'll also need to take into account the number of bandits and thugs attacking the princess and the budget for hiring escorts.
Step 3: The priority queue (min-heap) will help us maintain the ... | 83704e0194a0824b17e235dbf2aa47cdafd221af52bdcba436438381960c1747_1_1 | b08382752363897bc5eb555de9295a8e2133dad3c2732bf5cc04f0558ab64240 |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is constraints.
A session has begun at Beland State University. Many students are taking exams.
Polygraph Poligrafovich is going to examine a group of n students. Students will take the exam one-by-one in order from 1-th to n-th. ... | Step 1: The problem requires us to find the minimum number of students who need to fail the exam so that each student has enough time to pass the exam.
Step 2: To solve this, we can iterate through the students and calculate the amount of time needed for each student and the students before them, and count how many s... | e0157504a96c374aed721179102df3c19c30c386b4ef79cc7bd30d5f4adbc0a1_1_1 | 301e4291d2530bb798bb2951606a018981f1f752366f60b3f758fe4815df0cf7 |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is constraints.
A session has begun at Beland State University. Many students are taking exams.
Polygraph Poligrafovich is going to examine a group of n students. Students will take the exam one-by-one in order from 1-th to n-th. ... | Step 1: The given code takes input values and processes them to find the minimum number of students who need to fail the exam so that each student can complete the exam within the given total duration.
Step 2: The first input line contains the number of students and the total duration of the exam.
Step 3: The second... | b1f9be6c399c3d2e3b037bf0fcb69b87e368cc30e85bf926af1e8a05044c7df0_1_1 | 301e4291d2530bb798bb2951606a018981f1f752366f60b3f758fe4815df0cf7 |
Coding | codecontest | Write Python code to solve the task.
Creatnx has n mirrors, numbered from 1 to n. Every day, Creatnx asks exactly one mirror "Am I beautiful?". The i-th mirror will tell Creatnx that he is beautiful with probability (p_i)/(100) for all 1 β€ i β€ n.
Creatnx asks the mirrors one by one, starting from the 1-st mirror. Ever... | Step 1: The problem requires the calculation of the expected number of days until Creatnx becomes happy, given the probability of each mirror telling him he is beautiful.
Step 2: We need to keep track of the expected number of days and calculate it according to the probabilities and the conditions provided in the pro... | 3f64ea41a2f3ae9bc8f6685c4be73b5d24fbd2d697e37635b7417f3f39fd4383_1_1 | 60445319412361e1afbfc33bfee1fb56cbf1acea2accf404e1afb1730c805fd6 |
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