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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. There are $n$ candy boxes in front of Tania. The boxes are arranged in a row from left to right, numbered from $1$ to $n$. The $i$-th box contains $r_i$ candies, candies have the color $c_i$ (the color can take one of three values ​​— red, green, or blue). All candies inside a single box have the same color (and it is equal to $c_i$). Initially, Tanya is next to the box number $s$. Tanya can move to the neighbor box (that is, with a number that differs by one) or eat candies in the current box. Tanya eats candies instantly, but the movement takes one second. If Tanya eats candies from the box, then the box itself remains in place, but there is no more candies in it. In other words, Tanya always eats all the candies from the box and candies in the boxes are not refilled. It is known that Tanya cannot eat candies of the same color one after another (that is, the colors of candies in two consecutive boxes from which she eats candies are always different). In addition, Tanya's appetite is constantly growing, so in each next box from which she eats candies, there should be strictly more candies than in the previous one. Note that for the first box from which Tanya will eat candies, there are no restrictions on the color and number of candies. Tanya wants to eat at least $k$ candies. What is the minimum number of seconds she will need? Remember that she eats candies instantly, and time is spent only on movements. -----Input----- The first line contains three integers $n$, $s$ and $k$ ($1 \le n \le 50$, $1 \le s \le n$, $1 \le k \le 2000$) — number of the boxes, initial position of Tanya and lower bound on number of candies to eat. The following line contains $n$ integers $r_i$ ($1 \le r_i \le 50$) — numbers of candies in the boxes. The third line contains sequence of $n$ letters 'R', 'G' and 'B', meaning the colors of candies in the correspondent boxes ('R' for red, 'G' for green, 'B' for blue). Recall that each box contains candies of only one color. The third line contains no spaces. -----Output----- Print minimal number of seconds to eat at least $k$ candies. If solution doesn't exist, print "-1". -----Examples----- Input 5 3 10 1 2 3 4 5 RGBRR Output 4 Input 2 1 15 5 6 RG Output -1 -----Note----- The sequence of actions of Tanya for the first example: move from the box $3$ to the box $2$; eat candies from the box $2$; move from the box $2$ to the box $3$; eat candy from the box $3$; move from the box $3$ to the box $4$; move from the box $4$ to the box $5$; eat candies from the box $5$. Since Tanya eats candy instantly, the required time is four seconds.### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE #
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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. If you visit Aizu Akabeko shrine, you will find a unique paper fortune on which a number with more than one digit is written. Each digit ranges from 1 to 9 (zero is avoided because it is considered a bad omen in this shrine). Using this string of numeric values, you can predict how many years it will take before your dream comes true. Cut up the string into more than one segment and compare their values. The difference between the largest and smallest value will give you the number of years before your wish will be fulfilled. Therefore, the result varies depending on the way you cut up the string. For example, if you are given a string 11121314 and divide it into segments, say, as 1,11,21,3,14, then the difference between the largest and smallest is 21 - 1 = 20. Another division 11,12,13,14 produces 3 (i.e. 14 - 11) years. Any random division produces a game of luck. However, you can search the minimum number of years using a program. Given a string of numerical characters, write a program to search the minimum years before your wish will be fulfilled. Input The input is given in the following format. n An integer n is given. Its number of digits is from 2 to 100,000, and each digit ranges from 1 to 9. Output Output the minimum number of years before your wish will be fulfilled. Examples Input 11121314 Output 3 Input 123125129 Output 6 Input 119138 Output 5### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR
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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. An **anagram** is the result of rearranging the letters of a word to produce a new word. **Note:** anagrams are case insensitive Complete the function to return `true` if the two arguments given are anagrams of each other; return `false` otherwise. ## Examples * `"foefet"` is an anagram of `"toffee"` * `"Buckethead"` is an anagram of `"DeathCubeK"`### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # DO NOT EDIT THIS CELL # 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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. Arkady decides to observe a river for n consecutive days. The river's water level on each day is equal to some real value. Arkady goes to the riverside each day and makes a mark on the side of the channel at the height of the water level, but if it coincides with a mark made before, no new mark is created. The water does not wash the marks away. Arkady writes down the number of marks strictly above the water level each day, on the i-th day this value is equal to mi. Define di as the number of marks strictly under the water level on the i-th day. You are to find out the minimum possible sum of di over all days. There are no marks on the channel before the first day. Input The first line contains a single positive integer n (1 ≤ n ≤ 105) — the number of days. The second line contains n space-separated integers m1, m2, ..., mn (0 ≤ mi < i) — the number of marks strictly above the water on each day. Output Output one single integer — the minimum possible sum of the number of marks strictly below the water level among all days. Examples Input 6 0 1 0 3 0 2 Output 6 Input 5 0 1 2 1 2 Output 1 Input 5 0 1 1 2 2 Output 0 Note In the first example, the following figure shows an optimal case. <image> Note that on day 3, a new mark should be created because if not, there cannot be 3 marks above water on day 4. The total number of marks underwater is 0 + 0 + 2 + 0 + 3 + 1 = 6. In the second example, the following figure shows an optimal case. <image>### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE #
3,589
You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. You are given an array $a_1, a_2, \dots, a_n$. You can perform the following operation any number of times: Choose a pair of two neighboring equal elements $a_i = a_{i + 1}$ (if there is at least one such pair). Replace them by one element with value $a_i + 1$. After each such operation, the length of the array will decrease by one (and elements are renumerated accordingly). What is the minimum possible length of the array $a$ you can get? -----Input----- The first line contains the single integer $n$ ($1 \le n \le 500$) — the initial length of the array $a$. The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 1000$) — the initial array $a$. -----Output----- Print the only integer — the minimum possible length you can get after performing the operation described above any number of times. -----Examples----- Input 5 4 3 2 2 3 Output 2 Input 7 3 3 4 4 4 3 3 Output 2 Input 3 1 3 5 Output 3 Input 1 1000 Output 1 -----Note----- In the first test, this is one of the optimal sequences of operations: $4$ $3$ $2$ $2$ $3$ $\rightarrow$ $4$ $3$ $3$ $3$ $\rightarrow$ $4$ $4$ $3$ $\rightarrow$ $5$ $3$. In the second test, this is one of the optimal sequences of operations: $3$ $3$ $4$ $4$ $4$ $3$ $3$ $\rightarrow$ $4$ $4$ $4$ $4$ $3$ $3$ $\rightarrow$ $4$ $4$ $4$ $4$ $4$ $\rightarrow$ $5$ $4$ $4$ $4$ $\rightarrow$ $5$ $5$ $4$ $\rightarrow$ $6$ $4$. In the third and fourth tests, you can't perform the operation at all.### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. There are X+Y+Z people, conveniently numbered 1 through X+Y+Z. Person i has A_i gold coins, B_i silver coins and C_i bronze coins. Snuke is thinking of getting gold coins from X of those people, silver coins from Y of the people and bronze coins from Z of the people. It is not possible to get two or more different colors of coins from a single person. On the other hand, a person will give all of his/her coins of the color specified by Snuke. Snuke would like to maximize the total number of coins of all colors he gets. Find the maximum possible number of coins. Constraints * 1 \leq X * 1 \leq Y * 1 \leq Z * X+Y+Z \leq 10^5 * 1 \leq A_i \leq 10^9 * 1 \leq B_i \leq 10^9 * 1 \leq C_i \leq 10^9 Input Input is given from Standard Input in the following format: X Y Z A_1 B_1 C_1 A_2 B_2 C_2 : A_{X+Y+Z} B_{X+Y+Z} C_{X+Y+Z} Output Print the maximum possible total number of coins of all colors he gets. Examples Input 1 2 1 2 4 4 3 2 1 7 6 7 5 2 3 Output 18 Input 3 3 2 16 17 1 2 7 5 2 16 12 17 7 7 13 2 10 12 18 3 16 15 19 5 6 2 Output 110 Input 6 2 4 33189 87907 277349742 71616 46764 575306520 8801 53151 327161251 58589 4337 796697686 66854 17565 289910583 50598 35195 478112689 13919 88414 103962455 7953 69657 699253752 44255 98144 468443709 2332 42580 752437097 39752 19060 845062869 60126 74101 382963164 Output 3093929975### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. Implement a function called makeAcronym that returns the first letters of each word in a passed in string. Make sure the letters returned are uppercase. If the value passed in is not a string return 'Not a string'. If the value passed in is a string which contains characters other than spaces and alphabet letters, return 'Not letters'. If the string is empty, just return the string itself: "". **EXAMPLES:** ``` 'Hello codewarrior' -> 'HC' 'a42' -> 'Not letters' 42 -> 'Not a string' [2,12] -> 'Not a string' {name: 'Abraham'} -> 'Not a string' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> def makeAcronym(s): if type(s) != str: return 'Not a string' elif not s.isalpha(): return 'Not letters' elif s == '': return s else: return s[0].upper() + s[1:].lower().replace(' ', '') print(makeAcronym('Hello codewarrior')) print(makeAcronym('a42')) print(makeAcronym(42)) print(makeAcronym([2,12])) print(makeAcronym({'name': 'Abraham'})) <pr_base_code> <pr_file> <|pad|> ### 2. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 3. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 4. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 5. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 6. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 7. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 8. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 9. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 10. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 11. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 12. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 13. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 14. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 15. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow' '123' -> '321' 'abc' -> 'cba' '1a2b3c' -> 'c3b2a1' '1a2b3c4d5e' -> 'e5d4c3b2a1' ```### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks) ```python # YOUR CODE HERE ``` <repo_name> def reverseString(s): return s[::-1] print(reverseString('hello')) print(reverseString('world')) print(reverseString('123')) print(reverseString('abc')) print(reverseString('1a2b3c')) print(reverseString('1a2b3c4d5e')) <pr_base_code> <pr_file> <|pad|> ### 16. Write a function that takes a string as input and returns the string reversed. **EXAMPLES:** ``` 'hello' -> 'olleh' 'world' -> 'dlrow'
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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. When little Petya grew up and entered the university, he started to take part in АСМ contests. Later he realized that he doesn't like how the АСМ contests are organised: the team could only have three members (and he couldn't take all his friends to the competitions and distribute the tasks between the team members efficiently), so he decided to organize his own contests PFAST Inc. — Petr and Friends Are Solving Tasks Corporation. PFAST Inc. rules allow a team to have unlimited number of members. To make this format of contests popular he organised his own tournament. To create the team he will prepare for the contest organised by the PFAST Inc. rules, he chose several volunteers (up to 16 people) and decided to compile a team from them. Petya understands perfectly that if a team has two people that don't get on well, then the team will perform poorly. Put together a team with as many players as possible given that all players should get on well with each other. Input The first line contains two integer numbers n (1 ≤ n ≤ 16) — the number of volunteers, and m (<image>) — the number of pairs that do not get on. Next n lines contain the volunteers' names (each name is a non-empty string consisting of no more than 10 uppercase and/or lowercase Latin letters). Next m lines contain two names — the names of the volunteers who do not get on. The names in pair are separated with a single space. Each pair of volunteers who do not get on occurs exactly once. The strings are case-sensitive. All n names are distinct. Output The first output line should contain the single number k — the number of people in the sought team. Next k lines should contain the names of the sought team's participants in the lexicographical order. If there are several variants to solve the problem, print any of them. Petya might not be a member of the sought team. Examples Input 3 1 Petya Vasya Masha Petya Vasya Output 2 Masha Petya Input 3 0 Pasha Lesha Vanya Output 3 Lesha Pasha Vanya### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. # Solve For X You will be given an equation as a string and you will need to [solve for X](https://www.mathplacementreview.com/algebra/basic-algebra.php#solve-for-a-variable) and return x's value. For example: ```python solve_for_x('x - 5 = 20') # should return 25 solve_for_x('20 = 5 * x - 5') # should return 5 solve_for_x('5 * x = x + 8') # should return 2 solve_for_x('(5 - 3) * x = x + 2') # should return 2 ``` NOTES: * All numbers will be whole numbers * Don't forget about the [order of operations](https://www.mathplacementreview.com/algebra/basic-algebra.php#order-of-operations). * If the random tests don't pass the first time, just run them again.### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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3,781
You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. Write a function that takes an array/list of numbers and returns a number such that Explanation total([1,2,3,4,5]) => 48 1+2=3--\ 3+5 => 8 \ 2+3=5--/ \ == 8+12=>20\ ==>5+7=> 12 / \ 20+28 => 48 3+4=7--\ / == 12+16=>28/ 4+5=9--/ 7+9 => 16 / if total([1,2,3]) => 8 then first+second => 3 \ then 3+5 => 8 second+third => 5 / ### Examples ```python total([-1,-1,-1]) => -4 total([1,2,3,4]) => 20 ``` **Note:** each array/list will have at least an element and all elements will be valid numbers.### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> def total(arr): total = 0 for i in range(len(arr)): total += arr[i] return total total([1,2,3,4]) <pr_base_code> <pr_file>
55
You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. Consider sequences \{A_1,...,A_N\} of length N consisting of integers between 1 and K (inclusive). There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them. Since this sum can be enormous, print the value modulo (10^9+7). Here \gcd(A_1, ..., A_N) denotes the greatest common divisor of A_1, ..., A_N. -----Constraints----- - 2 \leq N \leq 10^5 - 1 \leq K \leq 10^5 - All values in input are integers. -----Input----- Input is given from Standard Input in the following format: N K -----Output----- Print the sum of \gcd(A_1, ..., A_N) over all K^N sequences, modulo (10^9+7). -----Sample Input----- 3 2 -----Sample Output----- 9 \gcd(1,1,1)+\gcd(1,1,2)+\gcd(1,2,1)+\gcd(1,2,2)+\gcd(2,1,1)+\gcd(2,1,2)+\gcd(2,2,1)+\gcd(2,2,2)=1+1+1+1+1+1+1+2=9 Thus, the answer is 9.### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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3,669
You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. We have a tree with N vertices numbered 1 to N. The i-th edge in this tree connects Vertex a_i and b_i. For each k=1, ..., N, solve the problem below: - Consider writing a number on each vertex in the tree in the following manner: - First, write 1 on Vertex k. - Then, for each of the numbers 2, ..., N in this order, write the number on the vertex chosen as follows: - Choose a vertex that still does not have a number written on it and is adjacent to a vertex with a number already written on it. If there are multiple such vertices, choose one of them at random. - Find the number of ways in which we can write the numbers on the vertices, modulo (10^9+7). -----Constraints----- - 2 \leq N \leq 2 \times 10^5 - 1 \leq a_i,b_i \leq N - The given graph is a tree. -----Input----- Input is given from Standard Input in the following format: N a_1 b_1 : a_{N-1} b_{N-1} -----Output----- For each k=1, 2, ..., N in this order, print a line containing the answer to the problem. -----Sample Input----- 3 1 2 1 3 -----Sample Output----- 2 1 1 The graph in this input is as follows: For k=1, there are two ways in which we can write the numbers on the vertices, as follows: - Writing 1, 2, 3 on Vertex 1, 2, 3, respectively - Writing 1, 3, 2 on Vertex 1, 2, 3, respectively### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. Every summer Vitya comes to visit his grandmother in the countryside. This summer, he got a huge wart. Every grandma knows that one should treat warts when the moon goes down. Thus, Vitya has to catch the moment when the moon is down. Moon cycle lasts 30 days. The size of the visible part of the moon (in Vitya's units) for each day is 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, and then cycle repeats, thus after the second 1 again goes 0. As there is no internet in the countryside, Vitya has been watching the moon for n consecutive days and for each of these days he wrote down the size of the visible part of the moon. Help him find out whether the moon will be up or down next day, or this cannot be determined by the data he has. -----Input----- The first line of the input contains a single integer n (1 ≤ n ≤ 92) — the number of consecutive days Vitya was watching the size of the visible part of the moon. The second line contains n integers a_{i} (0 ≤ a_{i} ≤ 15) — Vitya's records. It's guaranteed that the input data is consistent. -----Output----- If Vitya can be sure that the size of visible part of the moon on day n + 1 will be less than the size of the visible part on day n, then print "DOWN" at the only line of the output. If he might be sure that the size of the visible part will increase, then print "UP". If it's impossible to determine what exactly will happen with the moon, print -1. -----Examples----- Input 5 3 4 5 6 7 Output UP Input 7 12 13 14 15 14 13 12 Output DOWN Input 1 8 Output -1 -----Note----- In the first sample, the size of the moon on the next day will be equal to 8, thus the answer is "UP". In the second sample, the size of the moon on the next day will be 11, thus the answer is "DOWN". In the third sample, there is no way to determine whether the size of the moon on the next day will be 7 or 9, thus the answer is -1.### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. Two polar bears Menshykov and Uslada from the St.Petersburg zoo and elephant Horace from the Kiev zoo got six sticks to play with and assess the animals' creativity. Menshykov, Uslada and Horace decided to make either an elephant or a bear from those sticks. They can make an animal from sticks in the following way: * Four sticks represent the animal's legs, these sticks should have the same length. * Two remaining sticks represent the animal's head and body. The bear's head stick must be shorter than the body stick. The elephant, however, has a long trunk, so his head stick must be as long as the body stick. Note that there are no limits on the relations between the leg sticks and the head and body sticks. Your task is to find out which animal can be made from the given stick set. The zoo keeper wants the sticks back after the game, so they must never be broken, even bears understand it. Input The single line contains six space-separated integers li (1 ≤ li ≤ 9) — the lengths of the six sticks. It is guaranteed that the input is such that you cannot make both animals from the sticks. Output If you can make a bear from the given set, print string "Bear" (without the quotes). If you can make an elephant, print string "Elephant" (wıthout the quotes). If you can make neither a bear nor an elephant, print string "Alien" (without the quotes). Examples Input 4 2 5 4 4 4 Output Bear Input 4 4 5 4 4 5 Output Elephant Input 1 2 3 4 5 6 Output Alien Note If you're out of creative ideas, see instructions below which show how to make a bear and an elephant in the first two samples. The stick of length 2 is in red, the sticks of length 4 are in green, the sticks of length 5 are in blue. <image>### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows. Ensure that when the python program runs, it reads the inputs, runs the algorithm and writes output to STDOUT. ```python # YOUR CODE HERE ``` ### Answer: (use the provided format with backticks)
```python # YOUR CODE HERE ``` <repo_name> # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # YOUR CODE HERE # 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