• Treap初步


    模板题

      bzoj3224: Tyvj 1728 普通平衡树

      1 #include <bits/stdc++.h>
      2 #define rep(i, a, b) for (int i = a; i <= b; i++)
      3 #define REP(i, a, b) for (int i = a; i < b; i++)
      4 #define drep(i, a, b) for (int i = a; i >= b; i--)
      5 #define pb push_back
      6 #define mp make_pair
      7 #define xx first
      8 #define yy second
      9 using namespace std;
     10 typedef long long i64;
     11 typedef pair<int, int> pii;
     12 const int inf = ~0U >> 1;
     13 const i64 INF = ~0ULL >> 1;
     14 //*****************************
     15  
     16 const int maxn = 100005;
     17 struct node {
     18     int l, r, v, w, sz, rnd;
     19     node () { l = r = v = w = sz = rnd = 0; }
     20 } tr[maxn];
     21 int ndtot, root, ans;
     22  
     23 int read() {
     24     int l = 1, s(0); char ch = getchar_unlocked();
     25     while (ch < '0' || ch > '9') { if (ch == '-') l = -1; ch = getchar_unlocked(); }
     26     while (ch >= '0' && ch <= '9') { s = (s << 1) + (s << 3) + ch - '0'; ch = getchar_unlocked(); }
     27     return l * s;
     28 }
     29  
     30 void update(int &k) { tr[k].sz = tr[tr[k].l].sz + tr[k].w + tr[tr[k].r].sz; }
     31  
     32 void lturn(int &k) {
     33     int t = tr[k].r; tr[k].r = tr[t].l; tr[t].l = k;
     34     tr[t].sz = tr[k].sz; update(k); k = t;
     35 }
     36  
     37 void rturn(int &k) {
     38     int t = tr[k].l; tr[k].l = tr[t].r; tr[t].r = k;
     39     tr[t].sz = tr[k].sz; update(k); k = t;
     40 }
     41  
     42 void insrt(int &k, int x) {
     43     if (k == 0) {
     44         k = ++ndtot;
     45         tr[k].sz = tr[k].w = 1, tr[k].v = x, tr[k].rnd = rand();
     46         return;
     47     }
     48     tr[k].sz++;
     49     if (tr[k].v == x) tr[k].w++;
     50     else if (x > tr[k].v) {
     51         insrt(tr[k].r, x);
     52         if (tr[tr[k].r].rnd < tr[k].rnd) lturn(k);
     53     }
     54     else {
     55         insrt(tr[k].l, x);
     56         if (tr[tr[k].l].rnd < tr[k].rnd) rturn(k);
     57     }
     58 }
     59  
     60 void del(int &k, int x) {
     61     if (k == 0) return;
     62     if (tr[k].v == x) {
     63         if (tr[k].w > 1) {
     64             tr[k].w--; tr[k].sz--; return;
     65         }
     66         if (tr[k].l * tr[k].r == 0) k = tr[k].l + tr[k].r;
     67         else if (tr[tr[k].l].rnd < tr[tr[k].r].rnd) rturn(k), del(k, x);
     68         else lturn(k), del(k, x);
     69     }
     70     else if (x > tr[k].v) tr[k].sz--, del(tr[k].r, x);
     71     else tr[k].sz--, del(tr[k].l, x);
     72 }
     73  
     74 int query_rnk(int k, int x) {
     75     if (k == 0) return 0;
     76     if (tr[k].v == x) return tr[tr[k].l].sz + 1;
     77     else if (x > tr[k].v) return tr[tr[k].l].sz + tr[k].w + query_rnk(tr[k].r, x);
     78     else return query_rnk(tr[k].l, x);
     79 }
     80  
     81 int query_num(int k, int x) {
     82     if (k == 0) return 0;
     83     if (x <= tr[tr[k].l].sz) return query_num(tr[k].l, x);
     84     else if (x > tr[tr[k].l].sz + tr[k].w) return query_num(tr[k].r, x - tr[tr[k].l].sz - tr[k].w);
     85     else return tr[k].v;
     86 }
     87  
     88 void query_pre(int k, int x) {
     89     if (k == 0) return;
     90     if (x > tr[k].v) {
     91         ans = tr[k].v; query_pre(tr[k].r, x);
     92     }
     93     else query_pre(tr[k].l, x);
     94 }
     95  
     96 void query_sub(int k, int x) {
     97     if (k == 0) return;
     98     if (x < tr[k].v) {
     99         ans = tr[k].v; query_sub(tr[k].l, x);
    100     }
    101     else query_sub(tr[k].r, x);
    102 }
    103  
    104 int main() {
    105     int n; n = read();
    106     while (n--) {
    107         int op, x; op = read(), x = read();
    108         switch(op) {
    109             case 1: insrt(root, x); break;
    110             case 2: del(root, x); break;
    111             case 3: printf("%d
    ", query_rnk(root, x)); break;
    112             case 4: printf("%d
    ", query_num(root, x)); break;
    113             case 5: ans = 0; query_pre(root, x); printf("%d
    ", ans); break;
    114             case 6: ans = 0; query_sub(root, x); printf("%d
    ", ans); break;
    115         }
    116     }
    117 }
    View Code

      bzoj1503: 郁闷的出纳员

        按理来说Treap保持平衡后是不能旋转的,然而这个题乱搞A了,把要查询的点旋转到根上然后干掉。。

     1 #include <bits/stdc++.h>
     2 #define rep(i, a, b) for (int i = a; i <= b; i++)
     3 #define REP(i, a, b) for (int i = a; i < b; i++)
     4 #define drep(i, a, b) for (int i = a; i >= b; i--)
     5 #define mp make_pair
     6 #define pb push_back
     7 #define clr(x) memset(x, 0, sizeof(x))
     8 #define xx first
     9 #define yy second
    10 using namespace std;
    11 typedef long long i64;
    12 const int inf = ~0U>>1;
    13 const i64 INF = ~0ULL>>1;
    14 //****************************
    15  
    16 const int maxn = 100005;
    17  
    18 struct node {
    19     int l, r, v, rnd, w, sz;
    20     node() { l = r = v = rnd = w = sz = 0; }
    21 } tr[maxn];
    22 int ndtot, root;
    23 void update(int k) { tr[k].sz = tr[tr[k].l].sz + tr[k].w + tr[tr[k].r].sz; }
    24 void lturn(int &k) {
    25     int t = tr[k].r; tr[k].r = tr[t].l; tr[t].l = k;
    26     tr[t].sz = tr[k].sz; update(k); k = t;
    27 }
    28 void rturn(int &k) {
    29     int t = tr[k].l; tr[k].l = tr[t].r; tr[t].r = k;
    30     tr[t].sz = tr[k].sz; update(k); k = t;
    31 }
    32  
    33 void insrt(int &k, int x) {
    34     if (!k) {
    35         k = ++ndtot;
    36         tr[k].v = x, tr[k].rnd = rand(), tr[k].w = tr[k].sz = 1;
    37         return;
    38     }
    39     tr[k].sz++;
    40     if (tr[k].v == x) tr[k].w++;
    41     else if (x > tr[k].v) {
    42         insrt(tr[k].r, x);
    43         if (tr[tr[k].r].rnd < tr[k].rnd) lturn(k);
    44     }
    45     else if (x < tr[k].v) {
    46         insrt(tr[k].l, x);
    47         if (tr[tr[k].l].rnd < tr[k].rnd) rturn(k);
    48     }
    49 }
    50  
    51 int query_num(int &k, int x) {
    52     if (!k) return 0;
    53     if (x <= tr[tr[k].l].sz) return query_num(tr[k].l, x);
    54     else if (x > tr[tr[k].l].sz + tr[k].w) return query_num(tr[k].r, x - tr[tr[k].l].sz - tr[k].w);
    55     else return tr[k].v;
    56 }
    57  
    58 void fix(int &k, int x) {
    59     if (!k) return;
    60     if (tr[k].v >= x) {
    61         fix(tr[k].l, x);
    62         if (tr[k].l && tr[tr[k].l].v >= x) rturn(k);
    63     }
    64     else {
    65         fix(tr[k].r, x);
    66         if (tr[k].r && tr[tr[k].r].v >= x) lturn(k);
    67     }
    68 }
    69  
    70 char str[5];
    71 int main() {
    72     int n, m;
    73     scanf("%d%d", &n, &m);
    74     int tot(0);
    75     int be(0);
    76     insrt(root, 0x3f3f3f3f);
    77     while (n--) {
    78         int x;
    79         scanf("%s%d", str, &x);
    80         if (str[0] == 'I') { if (x >= m) insrt(root, x - tot), be++; }
    81         else if (str[0] == 'A') tot += x;
    82         else if (str[0] == 'S') {
    83             tot -= x;
    84             fix(root, m - tot);
    85             tr[root].sz -= tr[tr[root].l].sz;
    86             tr[tr[root].l] = node();
    87             tr[root].l = 0;
    88         }
    89         else {
    90             if (x + 1 > tr[root].sz) puts("-1");
    91             else printf("%d
    ", query_num(root, tr[root].sz - x) + tot);
    92         }
    93     }
    94     printf("%d
    ", be - tr[root].sz + 1);
    95     return 0;
    96 }
    View Code
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  • 原文地址:https://www.cnblogs.com/y7070/p/5018968.html
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