oj.uz

Submission #1033254

# Submission time Handle Problem Language Result Execution time Memory
1033254 2024-07-24T15:17:09 Z socpite Horses (IOI15_horses) C++17
100 / 100
 375 ms 53432 KB 
#include "horses.h"
#include<bits/stdc++.h>
using namespace std;

const int maxn = 5e5+5;
const int mod = 1e9+7;

int st_max[4*maxn], st_prod[4*maxn];

int mult[maxn], cost[maxn];

int n;

void build(int X[], int Y[], int l = 0, int r = n-1, int id = 1){
	if(l == r){
		st_max[id] = Y[l];
		st_prod[id] = X[l];
	}
	else {
		int mid = (l+r)>>1;
		build(X, Y, l, mid, id<<1);
		build(X, Y, mid+1, r, id<<1|1);
		st_max[id] = max(st_max[id<<1], st_max[id<<1|1]);
		st_prod[id] = 1LL*st_prod[id<<1]*st_prod[id<<1|1]%mod;
	}
}

void edit_max(int pos, int val, int l = 0, int r = n-1, int id = 1){
	if(l == r)st_max[id] = val;
	else {
		int mid = (l+r)>>1;
		if(pos <= mid)edit_max(pos, val, l, mid, id<<1);
		else edit_max(pos, val, mid+1, r, id<<1|1);
		st_max[id] = max(st_max[id<<1], st_max[id<<1|1]);
	}
}

int get_max(int ql, int qr, int l = 0, int r = n-1, int id = 1){
	if(ql > r || l > qr)return 0;
	if(ql <= l && r <= qr)return st_max[id];
	int mid = (l+r)>>1;
	return max(get_max(ql, qr, l, mid, id<<1), get_max(ql, qr, mid+1, r, id<<1|1));
}

void edit_prod(int pos, int val, int l = 0, int r = n - 1, int id = 1){
	if(l == r)st_prod[id] = val;
	else {
		int mid = (l+r)>>1;
		if(pos <= mid)edit_prod(pos, val, l, mid, id<<1);
		else edit_prod(pos, val, mid+1, r, id<<1|1);
		st_prod[id] = 1LL*st_prod[id<<1]*st_prod[id<<1|1]%mod;
	}
}

int get_prod(int ql, int qr, int l = 0, int r = n-1, int id = 1){
	if(ql > r || l > qr)return 1;
	if(ql <= l && r <= qr)return st_prod[id];
	int mid = (l+r)>>1;
	return 1LL*get_prod(ql, qr, l, mid, id<<1)*get_prod(ql, qr, mid+1, r, id<<1|1)%mod;
}


set<int> st;

int solve(){
	int best = 0, bcost = 0, prv = n;
	long long mx = 0;
	for(auto it = st.rbegin(); it != st.rend(); it++){
		int nw = get_max(*it, prv - 1);
		// cout << nw << " " << mx << endl;
		if(nw > mx){
			mx = nw;
			best = *it;
			bcost = nw;
		}
		mx*=mult[*it];
		if(mx >= mod)break;
	}
	return 1LL*get_prod(0, best)*bcost%mod;
}

int init(int N, int X[], int Y[]) {
	n = N;
	build(X, Y);
	for(int i = 0; i < N; i++){
		mult[i] = X[i];
		cost[i] = Y[i];
		if(X[i] > 1)st.insert(i);
	}
	st.insert(0);
	return solve();
}

int updateX(int pos, int val) {	
	if(mult[pos] > 1)st.erase(pos);
	mult[pos] = val;
	edit_prod(pos, val);
	if(mult[pos] > 1)st.insert(pos);
	st.insert(0);
	return solve();
}

int updateY(int pos, int val) {
	cost[pos] = val;
	edit_max(pos, val);
	return solve();
}

Compilation message

horses.cpp: In function 'void build(int*, int*, int, int, int)':
horses.cpp:24:52: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   24 |   st_prod[id] = 1LL*st_prod[id<<1]*st_prod[id<<1|1]%mod;
      |                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'void edit_prod(int, int, int, int, int)':
horses.cpp:51:52: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   51 |   st_prod[id] = 1LL*st_prod[id<<1]*st_prod[id<<1|1]%mod;
      |                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'int get_prod(int, int, int, int, int)':
horses.cpp:59:80: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   59 |  return 1LL*get_prod(ql, qr, l, mid, id<<1)*get_prod(ql, qr, mid+1, r, id<<1|1)%mod;
      |         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'int solve()':
horses.cpp:79:36: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   79 |  return 1LL*get_prod(0, best)*bcost%mod;
      |         ~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 448 KB Output is correct
12 Correct 0 ms 440 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 448 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 440 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 448 KB Output is correct
19 Correct 0 ms 416 KB Output is correct
20 Correct 0 ms 448 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 448 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 2 ms 356 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 375 ms 44632 KB Output is correct
2 Correct 268 ms 53432 KB Output is correct
3 Correct 246 ms 44736 KB Output is correct
4 Correct 260 ms 48396 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 436 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 452 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 600 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 2 ms 348 KB Output is correct
33 Correct 36 ms 20440 KB Output is correct
34 Correct 30 ms 20460 KB Output is correct
35 Correct 157 ms 50864 KB Output is correct
36 Correct 142 ms 50820 KB Output is correct
37 Correct 48 ms 18772 KB Output is correct
38 Correct 76 ms 31476 KB Output is correct
39 Correct 24 ms 18520 KB Output is correct
40 Correct 133 ms 45904 KB Output is correct
41 Correct 38 ms 18524 KB Output is correct
42 Correct 45 ms 18596 KB Output is correct
43 Correct 120 ms 46164 KB Output is correct
44 Correct 119 ms 46128 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 380 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 388 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 440 KB Output is correct
23 Correct 1 ms 536 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 476 KB Output is correct
26 Correct 1 ms 476 KB Output is correct
27 Correct 2 ms 344 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 2 ms 348 KB Output is correct
33 Correct 359 ms 44628 KB Output is correct
34 Correct 227 ms 53336 KB Output is correct
35 Correct 224 ms 44496 KB Output is correct
36 Correct 241 ms 48464 KB Output is correct
37 Correct 31 ms 20516 KB Output is correct
38 Correct 31 ms 20572 KB Output is correct
39 Correct 143 ms 50888 KB Output is correct
40 Correct 158 ms 51032 KB Output is correct
41 Correct 50 ms 18768 KB Output is correct
42 Correct 73 ms 31496 KB Output is correct
43 Correct 24 ms 18524 KB Output is correct
44 Correct 127 ms 45940 KB Output is correct
45 Correct 38 ms 18476 KB Output is correct
46 Correct 47 ms 18776 KB Output is correct
47 Correct 119 ms 46184 KB Output is correct
48 Correct 120 ms 46304 KB Output is correct
49 Correct 103 ms 23464 KB Output is correct
50 Correct 77 ms 23636 KB Output is correct
51 Correct 233 ms 52564 KB Output is correct
52 Correct 167 ms 52308 KB Output is correct
53 Correct 343 ms 21756 KB Output is correct
54 Correct 180 ms 35408 KB Output is correct
55 Correct 76 ms 19572 KB Output is correct
56 Correct 202 ms 47700 KB Output is correct
57 Correct 203 ms 20140 KB Output is correct
58 Correct 286 ms 20564 KB Output is correct
59 Correct 126 ms 46160 KB Output is correct