Create Adjacent Bit Counts.cpp #177
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walidbarakat
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Nov 5, 2021
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| /* | ||
| For a string of n bits x1,x2,x3,...,Xn the adjacent bit count of the string (AdjBC(x)) is given by | ||
| X1*X2 + X2*X3 + X3*X4 + ... + Xn-1 * Xn | ||
| which counts the number of times a 1 bit is adjacent to another 1 bit. For example: | ||
| AdjBC(011101101) = 3 | ||
| AdjBC(111101101) = 4 | ||
| AdjBC(010101010) = 0 | ||
| Write a program which takes as input integers n and k and returns the number of bit strings x of n bits (out of 2ⁿ) that satisfy AdjBC(x) = k. For example, for 5 bit strings, there are 6 ways of getting AdjBC(x) = 2: | ||
| 11100, 01110, 00111, 10111, 11101, 11011 | ||
| Input | ||
| The first line of input contains a single integer P, (1 ≤ P ≤ 1000), which is the number of data sets that follow. Each data set is a single line that contains the data set number, followed by a space, followed by a decimal integer giving the number (n) of bits in the bit strings, followed by a single space, followed by a decimal integer (k) giving the desired adjacent bit count. The number of bits (n) will not be greater than 100. | ||
| Output | ||
| For each data set there is one line of output. It contains the data set number followed by a single space, followed by the number of n-bit strings with adjacent bit count equal to k. As answer can be very large print your answer modulo 10^9+7. | ||
| Sample Input | ||
| 10 | ||
| 1 5 2 | ||
| 2 20 8 | ||
| 3 30 17 | ||
| 4 40 24 | ||
| 5 50 37 | ||
| 6 60 52 | ||
| 7 70 59 | ||
| 8 80 73 | ||
| 9 90 84 | ||
| 10 100 90 | ||
| Sample Output | ||
| 1 6 | ||
| 2 63426 | ||
| 3 1861225 | ||
| 4 168212501 | ||
| 5 44874764 | ||
| 6 160916 | ||
| 7 22937308 | ||
| 8 99167 | ||
| 9 15476 | ||
| 10 23076518 | ||
| */ | ||
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| // C++ program to count number of binary strings | ||
| // with k times appearing consecutive 1's. |
| // C++ program to count number of binary strings | ||
| // with k times appearing consecutive 1's. | ||
| //http://shuklas664.blogspot.com/2015/01/gnyr09f-solution.html | ||
| #include <bits/stdc++.h> |
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it's not a good practice to use this header, it can be understood only in problem solving context.
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| int count(int n, int k) | ||
| { | ||
| // dp[i][j][0] stores count of binary |
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maybe instead of using abstract variables names n and k you would use expressive names to explain your logic with no need to very long comments?
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