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POJ 1743 Musical Theme 后缀数组
最简单的后缀数组求最长不可重叠的重复字串长度的问题。。
具体见论文《后缀数组——处理字符串的有力工具
#include <cstdio>#include <cstring>#include <algorithm>#include <set>#include <map>#include <queue>#include <climits> using namespace std; #define MP make_pair#define PB push_backtypedef long long LL;typedef unsigned long long ULL;typedef vector<int> VI;typedef pair<int, int> PII;typedef pair<double, double> PDD;const int INF = INT_MAX / 3;const double eps = 1e-8;const LL LINF = 1e17;const double DINF = 1e60;const int maxn = 20000 + 10;//以下是倍增法求后缀数组int wa[maxn], wb[maxn], wv[maxn], ws[maxn];int cmp(int *r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; }void da(int *r, int *sa, int n, int m) { int i, j, p, *x = wa, *y = wb, *t; for(i = 0; i < m; i++) ws[i] = 0; for(i = 0; i < n; i++) ws[x[i] = r[i]]++; for(i = 1; i < m; i++) ws[i] += ws[i - 1]; for(i = n - 1; i >= 0; i--) sa[--ws[x[i]]] = i; for(j = 1, p = 1; p < n; j <<= 1, m = p) { 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; for(i = 0; i < n; i++) wv[i] = x[y[i]]; for(i = 0; i < m; i++) ws[i] = 0; for(i = 0; i < n; i++) ws[wv[i]]++; for(i = 0; i < m; i++) ws[i] += ws[i - 1]; for(i = n - 1; i >= 0; i--) sa[--ws[wv[i]]] = y[i]; for(t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; i++) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; }}//以下是求解height 数组int height[maxn], Rank[maxn];void calheight(int *r, int *sa, int n) { int i, j, k = 0; for(i = 1; i <= n; i++) Rank[sa[i]] = i; for(i = 0; i < n; height[Rank[i++]] = k) for(k ? k-- : 0, j = sa[Rank[i] - 1]; r[i + k] == r[j + k]; k++) ;}int n, val[maxn], str[maxn], sa[maxn], len;bool ok(int k) { int min_pos = INF, max_pos = -INF; for(int i = 0; i < len; i++) { if(height[i] >= k) { min_pos = min(min_pos, sa[i]); max_pos = max(max_pos, sa[i]); if(max_pos - min_pos >= k) return true; } else { min_pos = sa[i]; max_pos = sa[i]; } } return false;}int main() { while(scanf("%d", &n), n) { len = 0; for(int i = 0; i < n; i++) scanf("%d", &val[i]); for(int i = 1; i < n; i++) str[len++] = val[i] - val[i - 1] + 100; str[len] = 0; da(str, sa, len + 1, 200); calheight(str, sa, len); int l = 1, r = len, ans = 0; while(l <= r) { int mid = (l + r) >> 1; if(ok(mid)) { ans = mid; l = mid + 1; } else r = mid - 1; } ans++; if(ans < 5) ans = 0; printf("%d\n", ans); } return 0;}
POJ 1743 Musical Theme 后缀数组
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