• Bzoj2946:[POI2000] 最长公共子串


    题面

    求多个串的最长公共子串

    Sol

    套路,拼在一起,二分答案+后缀数组判定
    把大于答案的(height)分组,然后计算出一个组内是否有所有串的后缀
    由于串只有(5)个开个桶就好了

    # include <bits/stdc++.h>
    # define IL inline
    # define RG register
    # define Fill(a, b) memset(a, b, sizeof(a))
    using namespace std;
    typedef long long ll;
    const int _(100010);
    
    int T, n, a[_], sa[_], rk[_], y[_], height[_], t[_], vis[_];
    char s[_];
    
    IL bool Cmp(RG int i, RG int j, RG int k){  return y[i] == y[j] && y[i + k] == y[j + k];  }
    
    IL void Sort(){
    	RG int m = 30;
    	for(RG int i = 1; i <= n; ++i) ++t[rk[i] = a[i]];
    	for(RG int i = 1; i <= m; ++i) t[i] += t[i - 1];
    	for(RG int i = n; i; --i) sa[t[rk[i]]--] = i;
    	for(RG int k = 1; k <= n; k <<= 1){
    		RG int l = 0;
    		for(RG int i = n - k + 1; i <= n; ++i) y[++l] = i;
    		for(RG int i = 1; i <= n; ++i) if(sa[i] > k) y[++l] = sa[i] - k;
    		for(RG int i = 0; i <= m; ++i) t[i] = 0;
    		for(RG int i = 1; i <= n; ++i) ++t[rk[y[i]]];
    		for(RG int i = 1; i <= m; ++i) t[i] += t[i - 1];
    		for(RG int i = n; i; --i) sa[t[rk[y[i]]]--] = y[i];
    		swap(rk, y); rk[sa[1]] = l = 1;
    		for(RG int i = 2; i <= n; ++i) rk[sa[i]] = Cmp(sa[i - 1], sa[i], k) ? l : ++l;
    		if(l >= n) break;
    		m = l;
    	}
    	for(RG int i = 1, j = 0; i <= n; ++i){
    		j = max(0, j - 1);
    		while(a[j + i] == a[sa[rk[i] - 1] + j]) ++j;
    		height[rk[i]] = j;
    	}
    }
    
    IL bool Check(RG int x){
    	RG int v[6], cnt = 0; Fill(v, 0);
    	for(RG int i = 2; i <= n; ++i){
    		if(height[i] >= x){
    			if(vis[sa[i]] && !v[vis[sa[i]]]) ++cnt;
    			++v[vis[sa[i]]];
    		}
    		else{
    			Fill(v, 0); cnt = 0;
    			if(vis[sa[i]] && !v[vis[sa[i]]]) ++cnt;
    			++v[vis[sa[i]]];
    		}
    		if(cnt == T) return 1;
    	}
    	return 0;
    }
    
    int main(RG int argc, RG char* argv[]){
    	scanf("%d", &T);
    	for(RG int id = 1; id <= T; ++id){
    		scanf(" %s", s); RG int l = strlen(s);
    		for(RG int i = 0; i < l; ++i) a[++n] = s[i] - 'a' + 1, vis[n] = id;
    		a[++n] = 27;
    	}
    	Sort();
    	RG int l = 0, r = n, ans = 0;
    	while(l <= r){
    		RG int mid = (l + r) >> 1;
    		if(Check(mid)) ans = mid, l = mid + 1;
    		else r = mid - 1;
    	}
    	printf("%d
    ", ans);
        return 0;
    }
    
    
    
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  • 原文地址:https://www.cnblogs.com/cjoieryl/p/8340548.html
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