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  • 【SPOJ 220】Relevant Phrases of Annihilation

    http://www.spoj.com/problems/PHRASES/
    求出后缀数组然后二分。
    因为有多组数据,所以倍增求后缀数组时要特判是否越界。
    二分答案时的判断要注意优化!
    时间复杂度(O(TnLlog L)),L为字符串总长度。

    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    
    const int N = 100103;
    
    int t1[N << 1], t2[N << 1], c[N];
    
    void st(int *x, int *y, int *sa, int n, int m) {
    	memset(c, 0, sizeof(int) * (m + 1));
    	for (int i = 0; i < n; ++i) ++c[x[i]];
    	for (int i = 1; i <= m; ++i) c[i] += c[i - 1];
    	for (int i = n - 1; i >= 0; --i) sa[--c[x[y[i]]]] = y[i];
    }
    
    void mkhz(int *r, int *sa, int n, int m) {
    	int *x = t1, *y = t2, *t, i, j, p;
    	for (i = 0; i < n; ++i) y[i] = i, x[i] = r[i];
    	st(x, y, sa, n, m);
    	for (j = 1, p = 1; j < n && p < n; m = p - 1) {
    		for (p = 0, i = n - j; i < n; ++i) y[p++] = i;
    		for (i = 0; i < n; ++i) if (sa[i] >= j) y[p++] = sa[i] - j;
    		st(x, y, sa, n, m);
    		for (t = x, x = y, y = t, x[sa[0]] = 0, p = 1, i = 1; i < n; ++i)
    			x[sa[i]] = y[sa[i]] == y[sa[i - 1]] && ((sa[i] + j >= n ? -1 : y[sa[i] + j]) == (sa[i - 1] + j >= n ? -1 : y[sa[i - 1] + j])) ? p - 1 : p++;
    	}
    }
    
    void mkh(int *r, int *sa, int *h, int *rank, int n) {
    	int i, j, k = 0;
    	for (i = 0; i < n; ++i) rank[sa[i]] = i;
    	for (i = 1; i < n; h[rank[i++]] = k)
    		for (k ? --k : k = 0, j = sa[rank[i] - 1]; r[i + k] == r[j + k]; ++k);
    }
    
    char s[N];
    int r[N], n, id[N], slen, len, sa[N], h[N], rank[N], L[13], R[13], maxl[13], minr[13], used[13];
    
    bool can(int x) {
    	int left = 1, ret, right, tl, tr, idnow;
    	while (left <= len) {
    		for (right = left + 1; h[right] >= x && right <= len; ++right); 
    		--right;
    		
    		if (right - left + 1 < (n << 1)) {left = right + 1; continue;}
    		ret = 0;
    		for (int i = 1; i <= n; ++i) maxl[i] = L[i] - 1, minr[i] = R[i] + 1, used[i] = 0;
    		for (int i = left; i <= right; ++i)
    			if ((idnow = id[i]) && !used[idnow]) {
    				tl = sa[i]; tr = tl + x - 1;
    				if (tr < maxl[idnow] || tl > minr[idnow])
    					++ret, used[idnow] = 1;
    				else
    					maxl[idnow] = max(maxl[idnow], tl), minr[idnow] = min(minr[idnow], tr);
    			}
    		if (ret == n) return true;
    		
    		left = right + 1;
    	}
    	return false;
    }
    
    int main() {
    	int T; scanf("%d", &T);
    	while (T--) {
    		scanf("%d", &n);
    		len = 0; int minslen = 0x7ffffff;
    		for (int i = 1; i <= n; ++i) {
    			scanf("%s", s);
    			slen = strlen(s);
    			minslen = min(minslen, slen);
    			L[i] = len + 1;
    			R[i] = len + slen;
    			for (int j = 0; j < slen; ++j)
    				r[++len] = s[j];
    			r[++len] = 200 + i;
    		}
    		r[len + 1] = -1;
    		
    		mkhz(r, sa, len + 1, 300);
    		mkh(r, sa, h, rank, len + 1);
    		
    		for (int i = 1; i <= n; ++i) {
    			for (int j = L[i], top = R[i]; j <= top; ++j)
    				id[rank[j]] = i;
    			id[rank[R[i] + 1]] = 0;
    		}
    		int left = 0, mid, right = minslen >> 1;
    		while (left < right) {
    			mid = (left + right + 1) >> 1;
    			if (can(mid)) left = mid;
    			else right = mid - 1;
    		}
    		printf("%d
    ", left);
    	}
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/abclzr/p/6644199.html
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