oj.uz

Submission #343360

# Submission time Handle Problem Language Result Execution time Memory
343360 2021-01-03T18:41:14 Z bigDuck Horses (IOI15_horses) C++14
100 / 100
 742 ms 41196 KB 
#include "horses.h"

#include<bits/stdc++.h>
using namespace std;
#define INIT  ios_base :: sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define mp make_pair
#define pb push_back
#define ft first
#define sc second
#define ll long long
#define pii pair<int, int>
#define count_bits __builtin_popcount

ll mod=((ll)1e9)+7;
int N;
ll exp(ll x, ll e){
    if(e==1){
        return x%mod;
    }
    if(e==0){
        return 1;
    }
    return (exp(x, e%2)*exp( (x*x)%mod, e/2))%mod;
}

ll inv(ll x){
    return exp(x, mod-2);
}



ll prod=1ll;
multiset<pii> suf;


int x[500010], y[500010];
int seg[2000010];


void build_seg(int v, int tl, int tr){
    if(tl==tr){
        seg[v]=y[tl];
        return;
    }
    int mid=(tl+tr)>>1ll;
    build_seg(2*v, tl, mid); build_seg(2*v+1, mid+1, tr);
    seg[v]=max(seg[2*v], seg[2*v+1]);
    return;
}


void update_seg(int v, int tl, int tr, int pos, int x){

    if(tl==tr){
        seg[v]=x;
        y[tl]=x;
        return;
    }
    int mid=(tl+tr)>>1ll;
    if(pos<=mid){
        update_seg(2*v, tl, mid, pos, x);
    }
    else{
        update_seg(2*v+1, mid+1, tr, pos, x);
    }
    seg[v]=max(seg[2*v], seg[2*v+1]);
    return;
}

int query(int v, int tl, int tr, int l, int r){
    if(l>r){
        return 0;
    }
    if( (tl==l) && (tr==r) ){
        return seg[v];
    }
    int mid=(tl+tr)>>1ll;
    int q1=query(2*v, tl, mid, l, min(r, mid)), q2=query(2*v+1, mid+1, tr, max(l, mid+1), r);
    return max(q1, q2);
}





int get_resp(int N){
    ll prod2=1ll;
    ll prod3=1ll;
    ll prod1=1ll;
    ll res=y[N];
    auto it=suf.end();
    ll lt=N;

    if(it==suf.begin()){
        res=query(1, 1, N, 1, lt);
        return (res*prod)%mod;
    }
    it--;
    int cnt=0;
    for(;;it--){
        ll pos=it->ft, X=it->sc;
        ll Y=query(1, 1, N, pos, lt);
        if( (  ( ( (res*prod3)%mod  )*((prod1) ) )  )<Y  ){
            //cout<<res<<" "<<((res*prod2)%mod)<<" "<<Y<<" "<<prod<<"\n";
            res=(Y*inv(prod2))%mod;
            prod3=prod2;
            prod1=1ll;
            cnt++;
        }
        lt=pos-1;

        prod2*=X;
        prod1*=X;
        if(prod2>=((ll)1e9)){
            break;
        }
        if(it==suf.begin()){
            break;
        }
    }
    if( (prod2<((ll)1e9)) && (lt>0) ){
        ll Y=query(1, 1, N, 1, lt);
        if( (  ( ( (res*prod3)%mod  )*(prod1 ) )  )<Y  ){
            //cout<<res<<" "<<((res*prod2)%mod)<<" "<<Y<<" "<<prod<<"\n";
            res=(Y*inv(prod2))%mod;
            prod3=prod2;
            prod1=1;
            cnt++;
        }
    }
    res=(res*prod)%mod;

    return res;
}




int init(int n, int X[], int Y[]) {

    //cout<<inv(1000000000ll)<<" "<<((1000000000ll*inv(1000000000ll))%mod )<<"\n";


	N=n;
	for(int i=1; i<=N; i++){
        x[i]=X[i-1];
        y[i]=Y[i-1];
	}
    build_seg(1, 1, N);
    for(int i=1; i<=N; i++){
        prod=(prod*x[i])%mod;
    }
    for(int i=1; i<=N; i++){
        if(x[i]>1){
            suf.insert({i, x[i]});
        }
    }
	return get_resp(N);
}

int updateX(int pos, int val) {
    auto it=suf.lower_bound({pos+1, 0});
    if( (it!=suf.end()) ){
        if( (it->ft)==(pos+1) ){
            prod=(prod*inv(it->sc))%mod;
            suf.erase(it);
        }
    }
    if( (val>1) ){suf.insert({(pos+1), val});}
    prod=(prod*val)%mod;
	return get_resp(N);
}

int updateY(int pos, int val) {

    update_seg(1, 1, N, pos+1, val);

	return get_resp(N);
}

Compilation message

horses.cpp: In function 'void update_seg(int, int, int, int, int)':
horses.cpp:52:54: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   52 | void update_seg(int v, int tl, int tr, int pos, int x){
      |                                                      ^
horses.cpp:36:5: note: shadowed declaration is here
   36 | int x[500010], y[500010];
      |     ^
horses.cpp: In function 'int get_resp(int)':
horses.cpp:86:19: warning: declaration of 'N' shadows a global declaration [-Wshadow]
   86 | int get_resp(int N){
      |                   ^
horses.cpp:15:5: note: shadowed declaration is here
   15 | int N;
      |     ^
horses.cpp:95:31: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   95 |         res=query(1, 1, N, 1, lt);
      |                               ^~
horses.cpp:96:26: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   96 |         return (res*prod)%mod;
      |                ~~~~~~~~~~^~~~
horses.cpp:102:29: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  102 |         ll Y=query(1, 1, N, pos, lt);
      |                             ^~~
horses.cpp:102:34: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  102 |         ll Y=query(1, 1, N, pos, lt);
      |                                  ^~
horses.cpp:122:32: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  122 |         ll Y=query(1, 1, N, 1, lt);
      |                                ^~
horses.cpp:133:12: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  133 |     return res;
      |            ^~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 0 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 512 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 396 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 0 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 2 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 4 ms 364 KB Output is correct
28 Correct 3 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 2 ms 364 KB Output is correct
31 Correct 3 ms 364 KB Output is correct
32 Correct 4 ms 364 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 742 ms 36720 KB Output is correct
2 Correct 331 ms 40300 KB Output is correct
3 Correct 348 ms 40428 KB Output is correct
4 Correct 471 ms 40940 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 0 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 492 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 2 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 4 ms 364 KB Output is correct
28 Correct 2 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 3 ms 364 KB Output is correct
31 Correct 3 ms 364 KB Output is correct
32 Correct 4 ms 364 KB Output is correct
33 Correct 44 ms 12524 KB Output is correct
34 Correct 38 ms 12524 KB Output is correct
35 Correct 218 ms 36076 KB Output is correct
36 Correct 181 ms 35820 KB Output is correct
37 Correct 105 ms 12428 KB Output is correct
38 Correct 104 ms 24300 KB Output is correct
39 Correct 36 ms 12268 KB Output is correct
40 Correct 168 ms 35820 KB Output is correct
41 Correct 63 ms 12396 KB Output is correct
42 Correct 81 ms 12396 KB Output is correct
43 Correct 172 ms 35820 KB Output is correct
44 Correct 161 ms 35948 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 2 ms 364 KB Output is correct
26 Correct 2 ms 364 KB Output is correct
27 Correct 4 ms 364 KB Output is correct
28 Correct 2 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 2 ms 364 KB Output is correct
31 Correct 3 ms 364 KB Output is correct
32 Correct 4 ms 364 KB Output is correct
33 Correct 724 ms 36972 KB Output is correct
34 Correct 331 ms 39020 KB Output is correct
35 Correct 354 ms 38924 KB Output is correct
36 Correct 462 ms 39020 KB Output is correct
37 Correct 45 ms 14700 KB Output is correct
38 Correct 45 ms 14700 KB Output is correct
39 Correct 198 ms 38252 KB Output is correct
40 Correct 184 ms 38124 KB Output is correct
41 Correct 107 ms 13036 KB Output is correct
42 Correct 106 ms 25580 KB Output is correct
43 Correct 37 ms 12780 KB Output is correct
44 Correct 171 ms 38252 KB Output is correct
45 Correct 63 ms 12908 KB Output is correct
46 Correct 84 ms 12908 KB Output is correct
47 Correct 157 ms 38124 KB Output is correct
48 Correct 157 ms 38124 KB Output is correct
49 Correct 175 ms 16748 KB Output is correct
50 Correct 114 ms 16748 KB Output is correct
51 Correct 401 ms 39276 KB Output is correct
52 Correct 237 ms 39276 KB Output is correct
53 Correct 713 ms 16140 KB Output is correct
54 Correct 316 ms 31340 KB Output is correct
55 Correct 158 ms 15468 KB Output is correct
56 Correct 288 ms 41196 KB Output is correct
57 Correct 443 ms 16236 KB Output is correct
58 Correct 623 ms 16748 KB Output is correct
59 Correct 159 ms 40300 KB Output is correct