[hdu4552]最长公共前缀

题意:给一个串s,求s的每个前缀出现次数之和。

思路:对于一个后缀i,设i和原串的最长公共前缀为k,则当前总共可以产生k个答案。因此原题转化为求所有后缀与原串的最长公共前缀之和。模板题。以下为通过模板。

  1 #pragma comment(linker, "/STACK:10240000,10240000")
  2 
  3 #include <iostream>
  4 #include <cstdio>
  5 #include <algorithm>
  6 #include <cstdlib>
  7 #include <cstring>
  8 #include <map>
  9 #include <queue>
 10 #include <deque>
 11 #include <cmath>
 12 #include <vector>
 13 #include <ctime>
 14 #include <cctype>
 15 #include <set>
 16 #include <bitset>
 17 #include <functional>
 18 #include <numeric>
 19 #include <stdexcept>
 20 #include <utility>
 21 
 22 using namespace std;
 23 
 24 #define mem0(a) memset(a, 0, sizeof(a))
 25 #define mem_1(a) memset(a, -1, sizeof(a))
 26 #define lson l, m, rt << 1
 27 #define rson m + 1, r, rt << 1 | 1
 28 #define define_m int m = (l + r) >> 1
 29 #define rep_up0(a, b) for (int a = 0; a < (b); a++)
 30 #define rep_up1(a, b) for (int a = 1; a <= (b); a++)
 31 #define rep_down0(a, b) for (int a = b - 1; a >= 0; a--)
 32 #define rep_down1(a, b) for (int a = b; a > 0; a--)
 33 #define all(a) (a).begin(), (a).end()
 34 #define lowbit(x) ((x) & (-(x)))
 35 #define constructInt4(name, a, b, c, d) name(int a = 0, int b = 0, int c = 0, int d = 0): a(a), b(b), c(c), d(d) {}
 36 #define constructInt3(name, a, b, c) name(int a = 0, int b = 0, int c = 0): a(a), b(b), c(c) {}
 37 #define constructInt2(name, a, b) name(int a = 0, int b = 0): a(a), b(b) {}
 38 #define pchr(a) putchar(a)
 39 #define pstr(a) printf("%s", a)
 40 #define sstr(a) scanf("%s", a)
 41 #define sint(a) scanf("%d", &a)
 42 #define sint2(a, b) scanf("%d%d", &a, &b)
 43 #define sint3(a, b, c) scanf("%d%d%d", &a, &b, &c)
 44 #define pint(a) printf("%d
", a)
 45 #define test_print1(a) cout << "var1 = " << a << endl
 46 #define test_print2(a, b) cout << "var1 = " << a << ", var2 = " << b << endl
 47 #define test_print3(a, b, c) cout << "var1 = " << a << ", var2 = " << b << ", var3 = " << c << endl
 48 
 49 typedef double db;
 50 typedef long long LL;
 51 typedef pair<int, int> pii;
 52 typedef multiset<int> msi;
 53 typedef set<int> si;
 54 typedef vector<int> vi;
 55 typedef map<int, int> mii;
 56 
 57 const int dx[8] = {0, 0, -1, 1, 1, 1, -1, -1};
 58 const int dy[8] = {-1, 1, 0, 0, 1, -1, 1, -1 };
 59 const int maxn = 1e5 + 7;
 60 const int md = 1e9 + 7;
 61 const int inf = 1e9 + 7;
 62 const LL inf_L = 1e18 + 7;
 63 const double pi = acos(-1.0);
 64 const double eps = 1e-6;
 65 
 66 template<class T>T gcd(T a, T b){return b==0?a:gcd(b,a%b);}
 67 template<class T>bool max_update(T &a,const T &b){if(b>a){a = b; return true;}return false;}
 68 template<class T>bool min_update(T &a,const T &b){if(b<a){a = b; return true;}return false;}
 69 template<class T>T condition(bool f, T a, T b){return f?a:b;}
 70 template<class T>void copy_arr(T a[], T b[], int n){rep_up0(i,n)a[i]=b[i];}
 71 int make_id(int x, int y, int n) { return x * n + y; }
 72 
 73 struct SparseTable {
 74     int d[maxn][20];
 75     int t[maxn];
 76     int n;
 77     void resize(int nn) { n = nn; }
 78     void Init_min(int a[]) {
 79         rep_up0(i, n) d[i][0] = a[i];
 80         for (int j = 1; (1 << j) <= n; j++) {
 81             for (int i = 0; i + (1 << j) - 1 < n; i++) {
 82                 d[i][j] = min(d[i][j - 1], d[i + (1 << (j - 1))][j - 1]);
 83             }
 84         }
 85         int p = -1;
 86         rep_up1(i, n) {
 87             if ((i & (i - 1)) == 0) p++;
 88             t[i] = p;
 89         }
 90     }
 91     void Init_max(int a[]) {
 92         rep_up0(i, n) d[i][0] = a[i];
 93         for (int j = 1; (1 << j) <= n; j++) {
 94             for (int i = 0; i + (1 << j) - 1 < n; i++) {
 95                 d[i][j] = max(d[i][j - 1], d[i + (1 << (j - 1))][j - 1]);
 96             }
 97         }
 98         int p = -1;
 99         rep_up1(i, n) {
100             if ((i & (i - 1) == 0)) p++;
101             t[i] = p;
102         }
103     }
104     int RMQ_min(int L, int R) {
105         int p = t[R - L + 1];
106         return min(d[L][p], d[R - (1 << p) + 1][p]);
107     }
108     int RMQ_max(int L, int R) {
109         int p = t[R - L + 1];
110         return max(d[L][p], d[R - (1 << p) + 1][p]);
111     }
112 };
113 
114 /// 构造后缀数组的之前,需要在原串末尾加个空字符(比其它字符都小即可),
115 ///把这个空字符看成原串的一部分(这样在比较的时候到这个位置一定可以分个大小),
116 ///所以n应该为原序列长度+1,后缀n-1是"空串",sa[0]总是n-1。
117 struct SuffixArray {
118     int n;
119     int arr[6][maxn];
120     int *sa = arr[0], *x = arr[1], *y = arr[2], *c = arr[3], *rnk = arr[4], *height = arr[5];
121     void resize(int nn) {  n = nn; mem0(arr[0]); }
122     void build_sa(int s[], int m) { // m is biger than the max value of char
123         rep_up0(i, m) c[i] = 0;
124         rep_up0(i, n) c[x[i] = s[i]]++;
125         rep_up1(i, m - 1) c[i] += c[i - 1];
126         rep_down0(i, n) sa[--c[x[i]]] = i;
127         for (int k = 1; k <= n; k <<= 1) {
128             int p = 0;
129             for (int i = n - k; i < n; i++) y[p++] = i;
130             rep_up0(i, n) if (sa[i] >= k) y[p++] = sa[i] - k;
131             rep_up0(i, m) c[i] = 0;
132             rep_up0(i, n) c[x[y[i]]]++;
133             rep_up0(i, m) c[i] += c[i - 1];
134             rep_down0(i, n) sa[--c[x[y[i]]]] = y[i];
135             swap(x, y);
136             p = 1; x[sa[0]] = 0;
137             for (int i = 1; i < n; i++) {
138                 x[sa[i]] = y[sa[i - 1]] == y[sa[i]] && y[sa[i - 1] + k] == y[sa[i] + k]? p - 1 : p++;
139             }
140             if (p >= n) break;
141             m = p;
142         }
143     }
144     void build_height(int s[]) {
145         int k = 0;
146         rep_up0(i, n) rnk[sa[i]] = i;
147         rep_up0(i, n) {
148             if (k) k--;
149             int j = sa[rnk[i] - 1];
150             while (s[i + k] == s[j + k]) k++;
151             height[rnk[i]] = k;
152         }
153     }
154 };
155 
156 SparseTable st;
157 SuffixArray sa;
158 char s[maxn];
159 int ss[maxn];
160 
161 int main() {
162     //freopen("in.txt", "r", stdin);
163     while (~scanf("%s", s)) {
164         int len = strlen(s) + 1;
165         rep_up0(i, len) ss[i] = s[i];
166         sa.resize(len);
167         sa.build_sa(ss, 128);
168         sa.build_height(ss);
169         st.resize(len);
170         st.Init_min(sa.height);
171         int ans = (len - 1) % 256;
172         for (int i = 1; i < len; i++) {
173             int j = sa.rnk[0], k = sa.rnk[i];
174             if (j > k) swap(j, k);
175             ans += st.RMQ_min(j + 1, k);
176             ans %= 256;
177         }
178         cout << ans << endl;
179     }
180     return 0;
181 }
View Code
原文地址:https://www.cnblogs.com/jklongint/p/4446117.html