Number of Good Binary Strings
Time complexity: $O(maxLength)$
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#include <iostream>
#include <vector>
const int M = 1'000'000'007;
class Solution {
public:
int goodBinaryStrings(int minLength, int maxLength, int oneGroup, int zeroGroup) {
std::vector<int> dp(maxLength + 1, 0);
if (zeroGroup > oneGroup) {
std::swap(zeroGroup, oneGroup);
}
int n = std::min(maxLength + 1, oneGroup + zeroGroup);
for (int i = 0; i < n; i += zeroGroup) {
dp[i] = 1;
}
dp[oneGroup] += 1;
for (int i = oneGroup + 1; i <= maxLength; ++i) {
dp[i] = (dp[i - zeroGroup] + dp[i - oneGroup]) % M;
}
long long res = 0;
for (int i = minLength; i <= maxLength; ++i) {
res += dp[i];
}
return res % M;
}
};
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