oj.uz

Submission #746134

# Submission time Handle Problem Language Result Execution time Memory
746134 2023-05-21T13:25:26 Z Boomyday Horses (IOI15_horses) C++17
100 / 100
 336 ms 57212 KB 
//
// Created by adavy on 2/11/2023.
//
#include <bits/stdc++.h>
#include "horses.h"
using namespace std;

using ll = long long;
using ld = long double;
using db = double;
using str = string; // yay python!

using ii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;

using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vii = vector<ii>;
using vpl = vector<pl>;
using vpd = vector<pd>;

#define tcT template<class T
#define tcTU tcT, class U

tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
tcT> using PR = pair<T,T>;

// pairs
#define mp make_pair
#define f first
#define s second

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

#define len(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pb push_back
#define eb emplace_back
#define pf push_front

const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18; // not too close to LLONG_MAX
const ld PI = acos((ld)-1);
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1}; // for every grid problem!!


#include <stdio.h>
#include <assert.h>

struct Modular {
    int value;
    static const int MOD_value = MOD;

    Modular(long long v = 0) { value = v % MOD; if (value < 0) value += MOD;}
    Modular(long long a, long long b) : value(0){ *this += a; *this /= b;}

    Modular& operator+=(Modular const& b) {value += b.value; if (value >= MOD) value -= MOD; return *this;}
    Modular& operator-=(Modular const& b) {value -= b.value; if (value < 0) value += MOD;return *this;}
    Modular& operator*=(Modular const& b) {value = (long long)value * b.value % MOD;return *this;}

    friend Modular mexp(Modular a, long long e) {
        Modular res = 1; while (e) { if (e&1) res *= a; a *= a; e >>= 1; }
        return res;
    }
    friend Modular inverse(Modular a) { return mexp(a, MOD - 2); }

    Modular& operator/=(Modular const& b) { return *this *= inverse(b); }
    friend Modular operator+(Modular a, Modular const b) { return a += b; }
    friend Modular operator-(Modular a, Modular const b) { return a -= b; }
    friend Modular operator-(Modular const a) { return 0 - a; }
    friend Modular operator*(Modular a, Modular const b) { return a *= b; }
    friend Modular operator/(Modular a, Modular const b) { return a /= b; }
    friend std::ostream& operator<<(std::ostream& os, Modular const& a) {return os << a.value;}
    friend bool operator==(Modular const& a, Modular const& b) {return a.value == b.value;}
    friend bool operator!=(Modular const& a, Modular const& b) {return a.value != b.value;}
};


vl X, Y;
ll sz;
vl seg;
set<int> brks;
Modular totalX = 1;

void update(int i, ll x){
    i += sz;
    seg[i] = x;
    i >>= 1;
    //cout << i << endl;
    while (i > 0){
        seg[i] = max(seg[2*i], seg[2*i+1]);
        i >>= 1;
    }
}

ll query(int l, int r){
    l += sz; r += sz;
    ll ans = 0;
    while(l<=r){
        if (l&1) ans = max(ans, seg[l++]);
        if (!(r&1)) ans = max(ans, seg[r--]);
        l>>=1;
        r>>=1;

    }
    return ans;
}

ll solve(){
    //cout << totalX << endl;
    ll neg_amount = 1;
    ll pos_amount = 1;
    ll best = 0;
    auto ptr = brks.end();
    ptr--; ptr--;
    int dist = 0;

    //cout << *ptr << endl;

    while(ptr != brks.begin() && neg_amount*X[*ptr] <= 1e9+3){
        neg_amount *= X[*ptr];
        ptr--; dist++;
    }
    //cout << dist << endl;
    //cout << *ptr << " " << *next(ptr)-1 << endl;
    //cout << sz << " "<< query(0, 4) << endl;
    best = max(best, pos_amount*query(*ptr, *next(ptr)-1));
    //cout << best << endl;
    F0R(_, dist){
        ptr++;
        pos_amount*= X[*ptr];

        best = max(best, pos_amount*query(*ptr, *next(ptr)-1));
    }

    //cout << best%MOD << endl;
    //cout << totalX << endl;
    //cout << neg_amount << " "<< pos_amount << endl;

    return (totalX*best/neg_amount).value;
}

int init(int N, int Xi[], int Yi[]) {
    sz = 1<<(ll)(log2(N)+1);
    seg.rsz(2*sz);
    fill(all(seg),0);

    /*
    ll myHorses = 1;
    ll bestScr = 0;*/

    brks.insert(N);
    brks.insert(0);
    X = vl(Xi, Xi+N);
    Y = vl(Yi, Yi+N);
    F0R(i, N){
        totalX *= X[i];
        update(i, Y[i]);
        if (X[i] > 1) brks.insert(i);

    }




    /*
    F0R(i, N){
        myHorses *= X[i];
        bestScr = max(bestScr, myHorses*Y[i]);
    }*/
    return solve();
}

int updateX(int pos, int val) {
    totalX /= X[pos];
    if (pos==0){
        X[pos] = val;
        totalX *= X[pos];
        return solve();

    }
    if (val==1){
        if (X[pos]!=1) brks.erase(pos);
        X[pos] = val;
    }
    else {
        brks.insert(pos);
        X[pos] = val;
    }
    totalX *= X[pos];

    return solve();
}

int updateY(int pos, int val) {
    Y[pos] = val;
    update(pos, Y[pos]);

    return solve();
}


/*
int main(){
    int n; cin >> n;
    int x[n], y[n];
    F0R(i, n) cin >> x[i];
    F0R(i, n) cin >> y[i];
    cout << init(n, x, y) << endl;
    //cout << updateX(2, 5) << endl;
    //cout << updateY(2, 2) << endl;

}
*/

Compilation message

horses.cpp: In constructor 'Modular::Modular(long long int)':
horses.cpp:71:42: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   71 |     Modular(long long v = 0) { value = v % MOD; if (value < 0) value += MOD;}
      |                                        ~~^~~~~
horses.cpp: In member function 'Modular& Modular::operator*=(const Modular&)':
horses.cpp:76:79: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   76 |     Modular& operator*=(Modular const& b) {value = (long long)value * b.value % MOD;return *this;}
      |                                                    ~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'void update(int, ll)':
horses.cpp:103:7: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  103 |     i += sz;
      |     ~~^~~~~
horses.cpp: In function 'll query(int, int)':
horses.cpp:114:7: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  114 |     l += sz; r += sz;
      |     ~~^~~~~
horses.cpp:114:16: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  114 |     l += sz; r += sz;
      |              ~~^~~~~
horses.cpp: In function 'll solve()':
horses.cpp:137:44: warning: conversion from 'll' {aka 'long long int'} to 'double' may change value [-Wconversion]
  137 |     while(ptr != brks.begin() && neg_amount*X[*ptr] <= 1e9+3){
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:188:17: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  188 |     return solve();
      |            ~~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:196:21: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  196 |         return solve();
      |                ~~~~~^~
horses.cpp:209:17: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  209 |     return solve();
      |            ~~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:216:17: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  216 |     return solve();
      |            ~~~~~^~

Subtask #1
17.0 / 17.0

# 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 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 332 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 0 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 0 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# 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 0 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 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 0 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 0 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 2 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 2 ms 340 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 240 ms 44748 KB Output is correct
2 Correct 295 ms 44716 KB Output is correct
3 Correct 271 ms 44748 KB Output is correct
4 Correct 336 ms 44616 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 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 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 1 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 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 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 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 2 ms 312 KB Output is correct
28 Correct 1 ms 312 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 312 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 57 ms 24380 KB Output is correct
34 Correct 57 ms 24376 KB Output is correct
35 Correct 194 ms 54592 KB Output is correct
36 Correct 192 ms 54564 KB Output is correct
37 Correct 55 ms 22476 KB Output is correct
38 Correct 109 ms 35388 KB Output is correct
39 Correct 47 ms 22332 KB Output is correct
40 Correct 182 ms 49740 KB Output is correct
41 Correct 50 ms 22384 KB Output is correct
42 Correct 49 ms 22396 KB Output is correct
43 Correct 176 ms 50096 KB Output is correct
44 Correct 179 ms 50000 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 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 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 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 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 0 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 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 308 KB Output is correct
32 Correct 2 ms 312 KB Output is correct
33 Correct 234 ms 48568 KB Output is correct
34 Correct 305 ms 57212 KB Output is correct
35 Correct 268 ms 48468 KB Output is correct
36 Correct 336 ms 52456 KB Output is correct
37 Correct 56 ms 24368 KB Output is correct
38 Correct 55 ms 24324 KB Output is correct
39 Correct 217 ms 54612 KB Output is correct
40 Correct 228 ms 54528 KB Output is correct
41 Correct 57 ms 22544 KB Output is correct
42 Correct 115 ms 35268 KB Output is correct
43 Correct 46 ms 22220 KB Output is correct
44 Correct 196 ms 49756 KB Output is correct
45 Correct 48 ms 22288 KB Output is correct
46 Correct 51 ms 22388 KB Output is correct
47 Correct 183 ms 50092 KB Output is correct
48 Correct 181 ms 50012 KB Output is correct
49 Correct 116 ms 27472 KB Output is correct
50 Correct 108 ms 27300 KB Output is correct
51 Correct 253 ms 56484 KB Output is correct
52 Correct 239 ms 56164 KB Output is correct
53 Correct 159 ms 25620 KB Output is correct
54 Correct 178 ms 39244 KB Output is correct
55 Correct 117 ms 23332 KB Output is correct
56 Correct 238 ms 51516 KB Output is correct
57 Correct 107 ms 23940 KB Output is correct
58 Correct 134 ms 24524 KB Output is correct
59 Correct 176 ms 50112 KB Output is correct