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3337.cpp
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64 lines (63 loc) · 2.07 KB
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class Solution {
public:
long long mod = 1e9 + 7;
vector<vector<long long>> toMatrix(vector<int>& nums) {
vector<vector<long long>> matrix(26, vector<long long>(26, 0));
for (int i = 0; i < 26; ++i) {
for (int j = 0; j < nums[i]; ++j) {
matrix[i][(i + j + 1) % 26]++;
}
}
return matrix;
}
vector<vector<long long>> multiplyMatrix(vector<vector<long long>>& matrix1, vector<vector<long long>>& matrix2) {
int m = matrix1.size();
int n = matrix1[0].size();
int o = matrix2[0].size();
vector<vector<long long>> matrix(m, vector<long long>(o, 0));
for (int i = 0; i < m; ++i) {
for (int j = 0; j < o; ++j) {
for (int k = 0; k < n; ++k) {
matrix[i][j] += matrix1[i][k] * matrix2[k][j];
matrix[i][j] %= mod;
}
}
}
return matrix;
}
int lengthAfterTransformations(string s, int t, vector<int>& nums) {
vector<vector<long long>> numsMatrix(26, vector<long long>(1, 0));
for (int i = 0; i < 26; ++i) {
numsMatrix[i][0] = 1;
}
vector<vector<long long>> matrix = toMatrix(nums);
vector<bool> bits(32, 0);
int index = 0;
int maxBit = 0;
while (t) {
if (t & 1) {
bits[index] = 1;
maxBit = index;
}
t >>= 1;
index++;
}
vector<vector<vector<long long>>> hashMatrix(32);
vector<vector<long long>> curMatrix = matrix;
for (int i = 0; i < maxBit + 1; ++i) {
hashMatrix[i] = curMatrix;
curMatrix = multiplyMatrix(curMatrix, curMatrix);
}
for (int i = 0; i < maxBit + 1; ++i) {
if (bits[i]) {
numsMatrix = multiplyMatrix(hashMatrix[i], numsMatrix);
}
}
long long res = 0;
for (auto& c : s) {
res += numsMatrix[c - 'a'][0];
res %= mod;
}
return res;
}
};