oj.uz

Submission #416311

# Submission time Handle Problem Language Result Execution time Memory
416311 2021-06-02T10:01:01 Z Theo830 Horses (IOI15_horses) C++17
100 / 100
 961 ms 73396 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1e9+7;
ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<ll,ii>
#define f(i,a,b) for(ll i = a;i < b;i++)
#define pb push_back
#define vll vector<ll>
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
///I hope I will get uprating and don't make mistakes
///I will never stop programming
///sqrt(-1) Love C++
///Please don't hack me
///@TheofanisOrfanou Theo830
///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
///Stay Calm
///Look for special cases
///Beware of overflow and array bounds
///Think the problem backwards
///Training
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_int_distribution<ll> distr;
ll rnd(ll a, ll b){return distr(rng)%(b-a+1)+a;}
#include "horses.h"
/*
int init(int N, int X[], int Y[]);
int updateX(int pos, int val);
int updateY(int pos, int val);



int main() {
	int N;
	cin>>N;
	int *X = (int*)malloc(sizeof(int)*(unsigned int)N);
	int *Y = (int*)malloc(sizeof(int)*(unsigned int)N);

	for (int i = 0; i < N; i++) {
		cin>>X[i];
	}

	for (int i = 0; i < N; i++) {
		cin>>Y[i];
	}

	printf("%d\n",init(N,X,Y));

	int M;
    cin>>M;
	for (int i = 0; i < M; i++) {
		int type;
		cin>>type;
		int pos;
		int val;
		cin>>pos>>val;
		if (type == 1) {
			printf("%d\n",updateX(pos,val));
		} else if (type == 2) {
			printf("%d\n",updateY(pos,val));
		}
	}

	return 0;
}
*/
ll seg[2000005]={0},se[2000005]={0};
ll y[500000];
ll n;
void build(ll s,ll e,ll idx){
    if(s == e){
        seg[idx] = y[s-1];
        return;
    }
    ll mid = (s+e)/2;
    build(s,mid,idx*2);
    build(mid+1,e,idx*2+1);
    seg[idx] = max(seg[idx*2],seg[idx*2+1]);
}
void update(ll s,ll e,ll qs,ll qe,ll idx,ll k){
    if(s == e && s == qs){
        seg[idx] = k;
        return;
    }
    if(qs > e || qe < s){
        return;
    }
    ll mid = (s+e)/2;
    update(s,mid,qs,qe,idx*2,k);
    update(mid+1,e,qs,qe,idx*2+1,k);
    seg[idx] = max(seg[idx*2],seg[idx*2+1]);
}
ll query(ll s,ll e,ll qs,ll qe,ll idx){
    if(qs <= s && e <= qe){
        return seg[idx];
    }
    if(qs > e || qe < s){
        return 0;
    }
    ll mid = (s+e)/2;
    ll a = query(s,mid,qs,qe,idx*2);
    ll b = query(mid+1,e,qs,qe,idx*2+1);
    return max(a,b);
}
ll x[500000];
void build2(ll s,ll e,ll idx){
    if(s == e){
        se[idx] = x[s-1];
        return;
    }
    ll mid = (s+e)/2;
    build2(s,mid,idx*2);
    build2(mid+1,e,idx*2+1);
    se[idx] = (se[idx*2] * se[idx*2+1]) % INF;
}
void update2(ll s,ll e,ll qs,ll qe,ll idx,ll k){
    if(s == e && s == qs){
        se[idx] = k;
        return;
    }
    if(qs > e || qe < s){
        return;
    }
    ll mid = (s+e)/2;
    update2(s,mid,qs,qe,idx*2,k);
    update2(mid+1,e,qs,qe,idx*2+1,k);
    se[idx] = (se[idx*2] * se[idx*2+1]) % INF;
}
ll query2(ll s,ll e,ll qs,ll qe,ll idx){
    if(qs <= s && e <= qe){
        return se[idx];
    }
    if(qs > e || qe < s){
        return 1;
    }
    ll mid = (s+e)/2;
    ll a = query2(s,mid,qs,qe,idx*2);
    ll b = query2(mid+1,e,qs,qe,idx*2+1);
    return (a * b) % INF;
}
set<ii>ar;
ll power(ll a,ll b){
    if(b == 0){
        return 1;
    }
    if(b == 1){
        return a;
    }
    ll ans = power(a,b/2);
    ans *= ans;
    ans %= INF;
    if(b % 2){
        ans *= a;
    }
    return ans % INF;
}
ll inv(ll a){
    return power(a,INF-2);
}
int solve(void){
    ll num = 1;
    ll p = 0;
    ll product = query2(1,n,1,n,1);
    ll num2 = 1,y2 = y[n-1];
    auto it = ar.begin();
    ll last = n;
    while(num <= 1e9 && p != ar.size()){
        ll y1 = query(1,n,-(*it).F+1,last,1);
        if(y1 * num2 > y2 * num){
            y2 = y1;
            num2 = num;
        }
        last = -(*it).F;
        num *= (*it).S;
        it++;
        p++;
    }
    if(num <= 1e9){
        ll y1 = query(1,n,1,last,1);
        if(y1 * num2 > y2 * num){
            y2 = y1;
            num2 = num;
        }
    }
    ll ans = (((product * inv(num2)) % INF) * y2) % INF;
    return ans;
}
int init(int N, int X[], int Y[]) {
    n = N;
    f(i,0,N){
        y[i] = Y[i];
        x[i] = X[i];
    }
    build(1,N,1);
    build2(1,N,1);
    ll pos = N - 1;
    while(pos >= 0){
        if(x[pos] > 1){
            ar.insert(ii(-pos,x[pos]));
        }
        pos--;
    }
	return solve();
}

int updateX(int pos, int val){
    if(ar.count(ii(-pos,x[pos]))){
        ar.erase(ii(-pos,x[pos]));
    }
    x[pos] = val;
    update2(1,n,pos+1,pos+1,1,val);
    if(val != 1){
        ar.insert(ii(-pos,x[pos]));
    }
	return solve();
}

int updateY(int pos, int val){
    y[pos] = val;
    update(1,n,pos+1,pos+1,1,val);
	return solve();
}
/*
3
2 1 3
3 4 1
1
2 1 2
*/

Compilation message

horses.cpp: In function 'int solve()':
horses.cpp:170:11: warning: conversion from 'll' {aka 'long long int'} to 'double' may change value [-Wconversion]
  170 |     while(num <= 1e9 && p != ar.size()){
      |           ^~~
horses.cpp:170:27: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::set<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  170 |     while(num <= 1e9 && p != ar.size()){
      |                         ~~^~~~~~~~~~~~
horses.cpp:181:8: warning: conversion from 'll' {aka 'long long int'} to 'double' may change value [-Wconversion]
  181 |     if(num <= 1e9){
      |        ^~~
horses.cpp:189:12: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  189 |     return ans;
      |            ^~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 332 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 304 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 304 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 420 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 2 ms 448 KB Output is correct
27 Correct 5 ms 332 KB Output is correct
28 Correct 3 ms 460 KB Output is correct
29 Correct 2 ms 332 KB Output is correct
30 Correct 2 ms 460 KB Output is correct
31 Correct 4 ms 332 KB Output is correct
32 Correct 5 ms 332 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 891 ms 60672 KB Output is correct
2 Correct 527 ms 73396 KB Output is correct
3 Correct 533 ms 64540 KB Output is correct
4 Correct 679 ms 68420 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 0 ms 332 KB Output is correct
21 Correct 1 ms 304 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 3 ms 460 KB Output is correct
26 Correct 2 ms 440 KB Output is correct
27 Correct 5 ms 424 KB Output is correct
28 Correct 3 ms 460 KB Output is correct
29 Correct 2 ms 332 KB Output is correct
30 Correct 2 ms 460 KB Output is correct
31 Correct 4 ms 332 KB Output is correct
32 Correct 5 ms 332 KB Output is correct
33 Correct 67 ms 32564 KB Output is correct
34 Correct 64 ms 32648 KB Output is correct
35 Correct 249 ms 70720 KB Output is correct
36 Correct 249 ms 70828 KB Output is correct
37 Correct 148 ms 30896 KB Output is correct
38 Correct 144 ms 47484 KB Output is correct
39 Correct 52 ms 30532 KB Output is correct
40 Correct 233 ms 65844 KB Output is correct
41 Correct 87 ms 30528 KB Output is correct
42 Correct 108 ms 30652 KB Output is correct
43 Correct 213 ms 66084 KB Output is correct
44 Correct 224 ms 66172 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 308 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 1 ms 308 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 300 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 2 ms 460 KB Output is correct
27 Correct 5 ms 332 KB Output is correct
28 Correct 3 ms 460 KB Output is correct
29 Correct 2 ms 332 KB Output is correct
30 Correct 2 ms 440 KB Output is correct
31 Correct 4 ms 332 KB Output is correct
32 Correct 5 ms 332 KB Output is correct
33 Correct 917 ms 64556 KB Output is correct
34 Correct 518 ms 73356 KB Output is correct
35 Correct 548 ms 64592 KB Output is correct
36 Correct 728 ms 68628 KB Output is correct
37 Correct 65 ms 32564 KB Output is correct
38 Correct 61 ms 32584 KB Output is correct
39 Correct 312 ms 70720 KB Output is correct
40 Correct 287 ms 70724 KB Output is correct
41 Correct 145 ms 30728 KB Output is correct
42 Correct 155 ms 47448 KB Output is correct
43 Correct 52 ms 30540 KB Output is correct
44 Correct 237 ms 65680 KB Output is correct
45 Correct 87 ms 30548 KB Output is correct
46 Correct 108 ms 30636 KB Output is correct
47 Correct 256 ms 66224 KB Output is correct
48 Correct 251 ms 66160 KB Output is correct
49 Correct 262 ms 35976 KB Output is correct
50 Correct 230 ms 35976 KB Output is correct
51 Correct 519 ms 72604 KB Output is correct
52 Correct 401 ms 72132 KB Output is correct
53 Correct 961 ms 34228 KB Output is correct
54 Correct 441 ms 52084 KB Output is correct
55 Correct 212 ms 31552 KB Output is correct
56 Correct 424 ms 67524 KB Output is correct
57 Correct 568 ms 32324 KB Output is correct
58 Correct 786 ms 32716 KB Output is correct
59 Correct 249 ms 66116 KB Output is correct