Library/Data Structures/sparse_table.cpp
2019-08-02 22:03:09 -05:00

20 lines
539 B
C++

template< typename T > class sparse_table {
private: vector<T> st[20];
public:
int log(int x) { return 32 - __builtin_clz(x) - 1; }
sparse_table(vector<T> &A) {
int N = A.size();
for (int i = 0; i <= log(N); i++) st[i].resize(N);
for (int i = 0; i < N; i++) st[0][i] = A[i];
for (int i = 1; i <= log(N); i++) {
for (int j = 0; j + (1 << i) < N; j++) st[i][j] = min(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
}
}
T query(int i, int j) {
int k = log(j - i + 1);
return min(st[k][i], st[k][j - (1 << k) + 1]);
}
};