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  • 不在B中的A的子串数量 HDU

    题目:

    给定一个字符串a,又给定一系列b字符串,求字符串a的子串不在b中出现的个数。

    题解:

    先将所有的查询串放入后缀自动机(每次将sam.last=1)(算出所有子串个数)

    然后将母串放入后缀自动机然后记录这个子串个数

    两个值相减即可

      1 #include <set>
      2 #include <map>
      3 #include <stack>
      4 #include <queue>
      5 #include <cmath>
      6 #include <ctime>
      7 #include <cstdio>
      8 #include <string>
      9 #include <vector>
     10 #include <cstring>
     11 #include <iostream>
     12 #include <algorithm>
     13 #include <unordered_map>
     14 
     15 #define  pi    acos(-1.0)
     16 #define  eps   1e-9
     17 #define  fi    first
     18 #define  se    second
     19 #define  rtl   rt<<1
     20 #define  rtr   rt<<1|1
     21 #define  bug                printf("******
    ")
     22 #define  mem(a, b)          memset(a,b,sizeof(a))
     23 #define  name2str(x)        #x
     24 #define  fuck(x)            cout<<#x" = "<<x<<endl
     25 #define  sfi(a)             scanf("%d", &a)
     26 #define  sffi(a, b)         scanf("%d %d", &a, &b)
     27 #define  sfffi(a, b, c)     scanf("%d %d %d", &a, &b, &c)
     28 #define  sffffi(a, b, c, d) scanf("%d %d %d %d", &a, &b, &c, &d)
     29 #define  sfL(a)             scanf("%lld", &a)
     30 #define  sffL(a, b)         scanf("%lld %lld", &a, &b)
     31 #define  sfffL(a, b, c)     scanf("%lld %lld %lld", &a, &b, &c)
     32 #define  sffffL(a, b, c, d) scanf("%lld %lld %lld %lld", &a, &b, &c, &d)
     33 #define  sfs(a)             scanf("%s", a)
     34 #define  sffs(a, b)         scanf("%s %s", a, b)
     35 #define  sfffs(a, b, c)     scanf("%s %s %s", a, b, c)
     36 #define  sffffs(a, b, c, d) scanf("%s %s %s %s", a, b,c, d)
     37 #define  FIN                freopen("../in.txt","r",stdin)
     38 #define  gcd(a, b)          __gcd(a,b)
     39 #define  lowbit(x)          x&-x
     40 #define  IO                 iOS::sync_with_stdio(false)
     41 
     42 
     43 using namespace std;
     44 typedef long long LL;
     45 typedef unsigned long long ULL;
     46 const ULL seed = 13331;
     47 const LL INFLL = 0x3f3f3f3f3f3f3f3fLL;
     48 const int maxm = 8e6 + 10;
     49 const int INF = 0x3f3f3f3f;
     50 const int mod = 1e9 + 7;
     51 const int maxn = 2e5 + 7;
     52 
     53 struct Suffix_Automaton {
     54     int last, tot, nxt[maxn << 1][26], fail[maxn << 1];
     55     int len[maxn << 1];// 最长子串的长度 (该节点子串数量 = len[x] - len[fa[x]])
     56     int sa[maxn << 1], c[maxn << 1];
     57     int sz[maxn << 1];// 被后缀链接的个数,方便求节点字符串的个数
     58     LL num[maxn << 1];// 该状态子串的数量
     59     LL maxx[maxn << 1];// 长度为x的子串出现次数最多的子串的数目
     60     LL sum[maxn << 1];// 该节点后面所形成的自字符串的总数
     61     LL subnum, sublen;// subnum表示不同字符串数目,sublen表示不同字符串总长度
     62     int X[maxn << 1], Y[maxn << 1]; // Y表示排名为x的节点,X表示该长度前面还有多少个
     63     void init(int n) {
     64         tot = last = 1;
     65         fail[1] = len[1] = 0;
     66         for (int i = 0; i <= 25; i++) nxt[1][i] = 0;
     67     }
     68 
     69     void extend(int c) {
     70         int u = ++tot, v = last;
     71         for (int i = 0; i <= 25; i++) nxt[u][i] = 0;
     72         fail[u] = 0;
     73         len[u] = len[v] + 1;
     74         num[u] = 1;
     75         for (; v && !nxt[v][c]; v = fail[v]) nxt[v][c] = u;
     76         if (!v) fail[u] = 1, sz[1]++;
     77         else if (len[nxt[v][c]] == len[v] + 1) fail[u] = nxt[v][c], sz[nxt[v][c]]++;
     78         else {
     79             int now = ++tot, cur = nxt[v][c];
     80             len[now] = len[v] + 1;
     81             memcpy(nxt[now], nxt[cur], sizeof(nxt[cur]));
     82             fail[now] = fail[cur];
     83             fail[cur] = fail[u] = now;
     84             for (; v && nxt[v][c] == cur; v = fail[v]) nxt[v][c] = now;
     85             sz[now] += 2;
     86         }
     87         last = u;
     88     }
     89 
     90     void get_posnum() {// 每个节点子串出现的次数
     91         for (int i = 1; i <= tot; i++) X[len[i]]++;
     92         for (int i = 1; i <= tot; i++) X[i] += X[i - 1];
     93         for (int i = 1; i <= tot; i++) Y[X[len[i]]--] = i;
     94         for (int i = tot; i >= 1; i--) num[fail[Y[i]]] += num[Y[i]];
     95     }
     96 
     97     void get_maxx(int n) {// 长度为x的子串出现次数最多的子串的数目
     98         get_posnum();
     99         for (int i = 1; i <= tot; i++) maxx[len[i]] = max(maxx[len[i]], num[i]);
    100         for (int i = n - 1; i >= 1; i--) maxx[i] = max(maxx[i], maxx[i + 1]);
    101     }
    102 
    103     void get_sum() {// 该节点后面所形成的自字符串的总数
    104         get_posnum();
    105         for (int i = tot; i >= 1; i--) {
    106             sum[Y[i]] = 1;
    107             for (int j = 0; j <= 25; j++) sum[Y[i]] += sum[nxt[Y[i]][j]];
    108         }
    109     }
    110 
    111     void get_subnum() {//本质不同的子串的个数
    112         subnum = 0;
    113         for (int i = 1; i <= tot; i++) subnum += len[i] - len[fail[i]];
    114     }
    115 
    116     void get_sublen() {//本质不同的子串的总长度
    117         sublen = 0;
    118         for (int i = 1; i <= tot; i++) sublen += 1LL * (len[i] + len[fail[i]] + 1) * (len[i] - len[fail[i]]) / 2;
    119     }
    120 
    121     void get_sa() { //获取sa数组
    122         for (int i = 1; i <= tot; i++) c[len[i]]++;
    123         for (int i = 1; i <= tot; i++) c[i] += c[i - 1];
    124         for (int i = tot; i >= 1; i--) sa[c[len[i]]--] = i;
    125     }
    126 
    127     int mx[maxn << 1];
    128 
    129     void match(char s[]) {
    130         int p = 1, maxlen = 0;
    131         mem(mx, 0);
    132         for (int i = 0; s[i]; i++) {
    133             int c = s[i] - 'a';
    134             if (nxt[p][c]) p = nxt[p][c], maxlen++;
    135             else {
    136                 for (; p && !nxt[p][c]; p = fail[p]);
    137                 if (!p) p = 1, maxlen = 0;
    138                 else maxlen = len[p] + 1, p = nxt[p][c];
    139             }
    140             mx[p] = max(mx[p], maxlen);
    141         }
    142     }
    143 
    144     void get_kth(int k) {
    145         int pos = 1, cnt;
    146         string s = "";
    147         while (k) {
    148             for (int i = 0; i <= 25; i++) {
    149                 if (nxt[pos][i] && k) {
    150                     cnt = nxt[pos][i];
    151                     if (sum[cnt] < k) k -= sum[cnt];
    152                     else {
    153                         k--;
    154                         pos = cnt;
    155                         s += (char) (i + 'a');
    156                         break;
    157                     }
    158                 }
    159             }
    160         }
    161         cout << s << endl;
    162     }
    163 
    164 } sam;
    165 
    166 
    167 int T, n, cas = 1;
    168 char s[maxn], t[maxn];
    169 
    170 int main() {
    171     //  FIN;
    172     sfi(T);
    173     while (T--) {
    174         sfi(n);
    175         sfs(s + 1);
    176         int len = strlen(s + 1);
    177         sam.init(len);
    178         for (int i = 0; i < n; i++) {
    179             sfs(t + 1);
    180             len = strlen(t + 1);
    181             sam.last = 1;
    182             for (int j = 1; j <= len; j++) sam.extend((t[j] - 'a'));
    183         }
    184         sam.get_subnum();
    185         LL ans1 = sam.subnum;
    186         sam.last = 1;
    187         len = strlen(s + 1);
    188         for (int i = 1; i <= len; i++) sam.extend((s[i] - 'a'));
    189         sam.get_subnum();
    190         LL ans2 = sam.subnum;
    191         // fuck(ans1),fuck(ans2);
    192         printf("Case %d: %lld
    ", cas++, ans2 - ans1);
    193     }
    194     return 0;
    195 }
    View Code
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  • 原文地址:https://www.cnblogs.com/qldabiaoge/p/11562307.html
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