• [洛谷P4656][CEOI2017]Palindromic Partitions


    题目大意:一个长度为$n$的字符串,要求把它分成尽可能多的小块,使得这些块构成回文串

    题解:贪心,从两边从找尽可能小的块使得左右的块相等,判断相等可以用$hash$

    卡点:

    C++ Code:

    #include <cstdio>
    #include <cstring>
    #define maxn 1000010
    const long long base = 233, mod = 1000000007;
    int Tim;
    int n, mid;
    long long pw[maxn], hsh[maxn];
    char s[maxn];
    inline long long ghsh(int l, int r) {
    	return ((hsh[r] - hsh[l - 1] * pw[r - l + 1]) % mod + mod) % mod;
    }
    inline bool check(int l, int r, int len) {
    	return ghsh(l, l + len - 1) == ghsh(r, r + len - 1);
    }
    int work(int l, int r) {
    	if (l > r) return 0;
    	if (l == r) return 1;
    	int len;
    	for (int i = r; i > mid; i--) {
    		len = r - i + 1;
    		if (check(l, i, len)) return work(l + len, i - 1) + 2;
    	}
    	return 1;
    }
    int main() {
    	scanf("%d", &Tim);
    	pw[0] = 1; for (int i = 1; i < maxn; i++) pw[i] = pw[i - 1] * base % mod;
    	while (Tim --> 0) {
    		scanf("%s", s + 1);
    		n = strlen(s + 1);
    		mid = n + 1 >> 1;
    		for (int i = 1; i <= n; i++) hsh[i] = (hsh[i - 1] * base + s[i]) % mod;
    		printf("%d
    ", work(1, n));
    	}
    	return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/Memory-of-winter/p/9712208.html
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