Educational Codeforces Round 44 (Rated for Div. 2) F - Isomorphic Strings

时间:2023-03-09 19:53:57
Educational Codeforces Round 44 (Rated for Div. 2) F - Isomorphic Strings

F - Isomorphic Strings

题目大意:给你一个长度为n 由小写字母组成的字符串,有m个询问, 每个询问给你两个区间, 问你xi,yi能不能形成映射关系。

思路:这个题意好难懂啊。。。  字符串哈希, 将26个字符分开来hash, 那么check就变成啦, 区间内对应的26个字符的hash值是否一致。

即如果 a -> b  那么区间1内a的hash值等于区间2内b的hash值。

 #include<bits/stdc++.h>
#define LL long long
#define fi first
#define se second
#define mk make_pair
#define pii pair<int,int>
#define piii pair<int, pair<int,int>> using namespace std; const int N = 2e5 + ;
const int M = 1e4 + ;
const int inf = 0x3f3f3f3f;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int mod = 1e9 + ; int n, m;
LL hs[][N], f[N], base = , seed = ;
char s[N]; vector<int> vec[];
LL getHash(int x, int l, int r) {
LL ans = hs[x][l];
if(r < n - ) ans -= hs[x][r + ] * f[r - l + ];
ans = (ans % mod + mod) % mod;
return ans;
} bool check(int l1, int r1, int l2, int r2) {
for(int j = ; j < ; j++) {
int p = lower_bound(vec[j].begin(), vec[j].end(), l1) - vec[j].begin();
if(p >= vec[j].size() || vec[j][p] > r1) continue;
if(getHash(j, l1, r1) != getHash(s[l2 + (vec[j][p] - l1)] - 'a', l2, r2))
return false;
}
return true;
}
int main() { f[] = ; for(int i = ; i < N; i++) f[i] = f[i - ] * base % mod;
scanf("%d%d", &n, &m);
scanf("%s", s);
n = strlen(s); for(int i = n - ; i >= ; i--) {
for(int j = ; j < ; j++) {
hs[j][i] = hs[j][i + ] * base % mod;
if(j == s[i] - 'a') {
hs[j][i] = (hs[j][i] + seed) % mod;
}
}
} for(int i = ; i < n; i++)
vec[s[i] - 'a'].push_back(i); while(m--) {
int x, y, len;
scanf("%d%d%d", &x, &y, &len);
int l1 = x - , l2 = y - , r1 = l1 + len - , r2 = l2 + len - ; if(check(l1, r1, l2, r2)) puts("YES");
else puts("NO");
}
return ;
} /*
*/