oj.uz

Submission #747480

# Submission time Handle Problem Language Result Execution time Memory
747480 2023-05-24T08:16:14 Z Desh03 Horses (IOI15_horses) C++17
100 / 100
 261 ms 37616 KB 
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;

const int mod = 1000000007;
vector<int> x, y;
int n;

struct segtree1 {
    vector<double> st, lz;
    vector<int> id;
    int sz;
    void init(vector<double> a) {
        sz = a.size();
        while (sz & sz - 1) ++sz;
        st.resize(sz << 1), lz.resize(sz << 1), id.resize(sz << 1);
        for (int i = sz; i < (sz << 1); i++) id[i] = i - sz;
        for (int i = 0; i < a.size(); i++) st[i + sz] = a[i] + log2(y[i]);
        for (int i = sz - 1; i; i--) pull(i);
    }
    void pull(int v) {
        if (st[v << 1] >= st[v << 1 | 1]) {
            st[v] = st[v << 1], id[v] = id[v << 1];
        } else {
            st[v] = st[v << 1 | 1], id[v] = id[v << 1 | 1];
        }
    }
    void push(int v) {
        st[v << 1] += lz[v];
        st[v << 1 | 1] += lz[v];
        lz[v << 1] += lz[v];
        lz[v << 1 | 1] += lz[v];
        lz[v] = 0;
    }
    void updx(int v, int l, int r, int ql, int qr, double x) {
        if (l > qr || r < ql) return;
        if (l >= ql && r <= qr) {
            st[v] += x, lz[v] += x;
            return;
        }
        if (lz[v] != 0) push(v);
        int m = l + r >> 1;
        updx(v << 1, l, m, ql, qr, x);
        updx(v << 1 | 1, m + 1, r, ql, qr, x);
        pull(v);
    }
    void updy(int v, int l, int r, int u, double y) {
        if (l == r) {
            st[v] += y;
            return;
        }
        if (lz[v] != 0) push(v);
        int m = l + r >> 1;
        if (u <= m) updy(v << 1, l, m, u, y);
        else updy(v << 1 | 1, m + 1, r, u, y);
        pull(v);
    }
    void updx(int l, int r, double x) {
        updx(1, 0, sz - 1, l, r, x);
    }
    void updy(int u, double y) {
        updy(1, 0, sz - 1, u, y);
    }
} st1;

struct segtree2 {
    vector<int> st;
    int sz;
    void init(int n) {
        sz = n;
        st.resize(sz << 1);
    }
    void upd(int id, int x) {
        for (st[id += sz] = x; id >>= 1;) st[id] = 1LL * st[id << 1] * st[id << 1 | 1] % mod;
    }
    int qry(int l, int r) {
        int s = 1;
        for (l += sz, r += sz + 1; l < r; l >>= 1, r >>= 1) {
            if (l & 1) s = 1LL * s * st[l++] % mod;
            if (r & 1) s = 1LL * s * st[--r] % mod;
        }
        return s;
    }
} st2;

int init(int N, int X[], int Y[]) {
    n = N, x.resize(n), y.resize(n);
    for (int i = 0; i < n; i++) x[i] = X[i], y[i] = Y[i];
    vector<double> p(n);
    p[0] = log2(x[0]);
    for (int i = 1; i < n; i++) p[i] = p[i - 1] + log2(x[i]);
    st1.init(p);
    st2.init(n);
    for (int i = 0; i < n; i++) st2.upd(i, x[i]);
    return 1LL * st2.qry(0, st1.id[1]) * y[st1.id[1]] % mod;
}

int updateX(int pos, int val) {
    st1.updx(pos, n - 1, log2(val) - log2(x[pos]));
    st2.upd(pos, val);
    x[pos] = val;
    return 1LL * st2.qry(0, st1.id[1]) * y[st1.id[1]] % mod;
}

int updateY(int pos, int val) {
    st1.updy(pos, log2(val) - log2(y[pos]));
    y[pos] = val;
    return 1LL * st2.qry(0, st1.id[1]) * y[st1.id[1]] % mod;
}

Compilation message

horses.cpp: In member function 'void segtree1::init(std::vector<double>)':
horses.cpp:14:20: warning: conversion from 'std::vector<double>::size_type' {aka 'long unsigned int'} to 'int' may change value [-Wconversion]
   14 |         sz = a.size();
      |              ~~~~~~^~
horses.cpp:15:24: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
   15 |         while (sz & sz - 1) ++sz;
      |                     ~~~^~~
horses.cpp:18:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<double>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   18 |         for (int i = 0; i < a.size(); i++) st[i + sz] = a[i] + log2(y[i]);
      |                         ~~^~~~~~~~~~
horses.cpp: In member function 'void segtree1::updx(int, int, int, int, int, double)':
horses.cpp:35:59: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   35 |     void updx(int v, int l, int r, int ql, int qr, double x) {
      |                                                    ~~~~~~~^
horses.cpp:6:13: note: shadowed declaration is here
    6 | vector<int> x, y;
      |             ^
horses.cpp:42:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   42 |         int m = l + r >> 1;
      |                 ~~^~~
horses.cpp: In member function 'void segtree1::updy(int, int, int, int, double)':
horses.cpp:47:50: warning: declaration of 'y' shadows a global declaration [-Wshadow]
   47 |     void updy(int v, int l, int r, int u, double y) {
      |                                           ~~~~~~~^
horses.cpp:6:16: note: shadowed declaration is here
    6 | vector<int> x, y;
      |                ^
horses.cpp:53:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   53 |         int m = l + r >> 1;
      |                 ~~^~~
horses.cpp: In member function 'void segtree1::updx(int, int, double)':
horses.cpp:58:36: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   58 |     void updx(int l, int r, double x) {
      |                             ~~~~~~~^
horses.cpp:6:13: note: shadowed declaration is here
    6 | vector<int> x, y;
      |             ^
horses.cpp: In member function 'void segtree1::updy(int, double)':
horses.cpp:61:29: warning: declaration of 'y' shadows a global declaration [-Wshadow]
   61 |     void updy(int u, double y) {
      |                      ~~~~~~~^
horses.cpp:6:16: note: shadowed declaration is here
    6 | vector<int> x, y;
      |                ^
horses.cpp: In member function 'void segtree2::init(int)':
horses.cpp:69:19: warning: declaration of 'n' shadows a global declaration [-Wshadow]
   69 |     void init(int n) {
      |               ~~~~^
horses.cpp:7:5: note: shadowed declaration is here
    7 | int n;
      |     ^
horses.cpp: In member function 'void segtree2::upd(int, int)':
horses.cpp:73:26: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   73 |     void upd(int id, int x) {
      |                      ~~~~^
horses.cpp:6:13: note: shadowed declaration is here
    6 | vector<int> x, y;
      |             ^
horses.cpp:74:88: warning: conversion from 'long long int' to '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} may change value [-Wconversion]
   74 |         for (st[id += sz] = x; id >>= 1;) st[id] = 1LL * st[id << 1] * st[id << 1 | 1] % mod;
      |                                                    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In member function 'int segtree2::qry(int, int)':
horses.cpp:79:46: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   79 |             if (l & 1) s = 1LL * s * st[l++] % mod;
      |                            ~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp:80:46: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   80 |             if (r & 1) s = 1LL * s * st[--r] % mod;
      |                            ~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:95:55: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   95 |     return 1LL * st2.qry(0, st1.id[1]) * y[st1.id[1]] % mod;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:102:55: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  102 |     return 1LL * st2.qry(0, st1.id[1]) * y[st1.id[1]] % mod;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:108:55: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  108 |     return 1LL * st2.qry(0, st1.id[1]) * y[st1.id[1]] % mod;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 224 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 36496 KB Output is correct
2 Correct 240 ms 36496 KB Output is correct
3 Correct 226 ms 36496 KB Output is correct
4 Correct 261 ms 36496 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 131 ms 36540 KB Output is correct
34 Correct 122 ms 36448 KB Output is correct
35 Correct 138 ms 36488 KB Output is correct
36 Correct 134 ms 36444 KB Output is correct
37 Correct 105 ms 36492 KB Output is correct
38 Correct 110 ms 36496 KB Output is correct
39 Correct 94 ms 36496 KB Output is correct
40 Correct 112 ms 36452 KB Output is correct
41 Correct 95 ms 36440 KB Output is correct
42 Correct 95 ms 36464 KB Output is correct
43 Correct 108 ms 36488 KB Output is correct
44 Correct 113 ms 37408 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 139 ms 36472 KB Output is correct
34 Correct 229 ms 36440 KB Output is correct
35 Correct 195 ms 36504 KB Output is correct
36 Correct 240 ms 36448 KB Output is correct
37 Correct 112 ms 36448 KB Output is correct
38 Correct 112 ms 36496 KB Output is correct
39 Correct 137 ms 36556 KB Output is correct
40 Correct 130 ms 36496 KB Output is correct
41 Correct 100 ms 36468 KB Output is correct
42 Correct 111 ms 36612 KB Output is correct
43 Correct 96 ms 36488 KB Output is correct
44 Correct 112 ms 36488 KB Output is correct
45 Correct 92 ms 36496 KB Output is correct
46 Correct 94 ms 36488 KB Output is correct
47 Correct 109 ms 36428 KB Output is correct
48 Correct 106 ms 37392 KB Output is correct
49 Correct 206 ms 37392 KB Output is correct
50 Correct 205 ms 37452 KB Output is correct
51 Correct 176 ms 37140 KB Output is correct
52 Correct 182 ms 37132 KB Output is correct
53 Correct 203 ms 37356 KB Output is correct
54 Correct 183 ms 37512 KB Output is correct
55 Correct 164 ms 37328 KB Output is correct
56 Correct 195 ms 37504 KB Output is correct
57 Correct 127 ms 37392 KB Output is correct
58 Correct 141 ms 37476 KB Output is correct
59 Correct 111 ms 37616 KB Output is correct