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Submission #248493

# Submission time Handle Problem Language Result Execution time Memory
248493 2020-07-12T14:32:12 Z ernestvw Horses (IOI15_horses) C++11
100 / 100
 955 ms 59868 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

const ll mod = 1e9 + 7;

int n;
vector<ll> C, P;
set<int> indices;

ll treeProd[4000000],treeMax[4000000];

void updateProd(int l, int r, int idx, int i, ll val) {
	if(idx < l || r < idx || r < l) return;
	if(l == r) {
		treeProd[i] = val;
		return;
	}
	updateProd(l, (l+r)/2, idx, 2*i+1, val);
	updateProd((l+r)/2+1, r, idx, 2*i+2, val);
	treeProd[i] = treeProd[2*i+1] * treeProd[2*i+2];
	treeProd[i] %= mod;
}

ll getProd(int l, int r, int L, int R, int i) {
	if(R < l || L > r || r < l) return 1;
	if(L <= l && r <= R) return treeProd[i];
	return (getProd(l, (l+r)/2, L, R, 2*i+1) * getProd((l+r)/2+1, r, L, R, 2*i+2)) % mod;
}

void updateMax(int l, int r, int idx, int i, ll val) {
	if(idx < l || r < idx || r < l) return;
	if(l == r) {
		treeMax[i] = val;
		return;
	}
	updateMax(l, (l+r)/2, idx, 2*i+1, val);
	updateMax((l+r)/2+1, r, idx, 2*i+2, val);
	treeMax[i] = max(treeMax[2*i+1], treeMax[2*i+2]);
}

ll getMax(int l, int r, int L, int R, int i) {
	if(R < l || L > r || r < l) return 0;
	if(L <= l && r <= R) return treeMax[i];
	return max(getMax(l, (l+r)/2, L, R, 2*i+1), getMax((l+r)/2+1, r, L, R, 2*i+2));
}

int solve() {
	ll prod = 1;
	int best = n-1;
	ll pbest = 1;
	int der = n;
	for(auto it = indices.rbegin(); it != indices.rend(); it++) {
		int i = *it;
		ll p = getMax(0, n-1, i, der-1, 0);
		if(prod <= p) {
			best = i;
			prod = p;
			pbest = p;
		}
		prod *= C[i];
		if(prod > 1e9) break;
		der = i;
	}
	prod = getProd(0, n-1, 0, best, 0);
	prod *= pbest;
	prod %= mod;
	return int(prod);
}

int init(int N, int X[], int Y[]) {
	n = N;
	C.resize(n);
	P.resize(n);
	for(int i = 0; i < n; ++i) C[i] = X[i];
	for(int i = 0; i < n; ++i) P[i] = Y[i];
	memset(treeProd, 1, sizeof(P));
	memset(treeMax, 0, sizeof(P));
	for(int i = 0; i < n; ++i) {
		updateProd(0, n - 1, i, 0, C[i]);
		updateMax(0, n - 1, i, 0, P[i]);
	}

	for(int i = 0; i < n; ++i)
		if(C[i] > 1 || i == 0)
			indices.insert(i);

	return solve();
}

int updateX(int pos, int val) {
	updateProd(0, n-1, pos, 0, val);
	if(indices.find(pos) != indices.end()) indices.erase(pos);
	if(pos == 0 || val > 1) indices.insert(pos);
	C[pos] = val;
	return solve();
}

int updateY(int pos, int val) {
	updateMax(0, n-1, pos, 0, val);
	P[pos] = val;
	return solve();
}

Compilation message

horses.cpp: In function 'int solve()':
horses.cpp:63:13: warning: conversion to 'double' from 'll {aka long long int}' may alter its value [-Wconversion]
   if(prod > 1e9) break;
             ^~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 1 ms 512 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 3 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 875 ms 52968 KB Output is correct
2 Correct 595 ms 53368 KB Output is correct
3 Correct 583 ms 56808 KB Output is correct
4 Correct 604 ms 59640 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 1 ms 512 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 3 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct
33 Correct 276 ms 32632 KB Output is correct
34 Correct 261 ms 32632 KB Output is correct
35 Correct 418 ms 59512 KB Output is correct
36 Correct 406 ms 59384 KB Output is correct
37 Correct 336 ms 30840 KB Output is correct
38 Correct 334 ms 43536 KB Output is correct
39 Correct 266 ms 30536 KB Output is correct
40 Correct 404 ms 58024 KB Output is correct
41 Correct 281 ms 30584 KB Output is correct
42 Correct 307 ms 30840 KB Output is correct
43 Correct 386 ms 58360 KB Output is correct
44 Correct 394 ms 58360 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 1 ms 512 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 3 ms 384 KB Output is correct
32 Correct 4 ms 384 KB Output is correct
33 Correct 878 ms 56852 KB Output is correct
34 Correct 572 ms 57016 KB Output is correct
35 Correct 581 ms 56824 KB Output is correct
36 Correct 637 ms 59864 KB Output is correct
37 Correct 291 ms 32632 KB Output is correct
38 Correct 271 ms 32632 KB Output is correct
39 Correct 409 ms 56824 KB Output is correct
40 Correct 405 ms 56824 KB Output is correct
41 Correct 321 ms 30840 KB Output is correct
42 Correct 313 ms 43512 KB Output is correct
43 Correct 282 ms 30584 KB Output is correct
44 Correct 392 ms 57976 KB Output is correct
45 Correct 280 ms 30584 KB Output is correct
46 Correct 301 ms 30672 KB Output is correct
47 Correct 368 ms 58360 KB Output is correct
48 Correct 377 ms 58360 KB Output is correct
49 Correct 381 ms 35704 KB Output is correct
50 Correct 349 ms 35704 KB Output is correct
51 Correct 588 ms 57592 KB Output is correct
52 Correct 457 ms 57464 KB Output is correct
53 Correct 955 ms 33912 KB Output is correct
54 Correct 501 ms 47480 KB Output is correct
55 Correct 387 ms 31736 KB Output is correct
56 Correct 496 ms 59868 KB Output is correct
57 Correct 625 ms 32396 KB Output is correct
58 Correct 823 ms 32820 KB Output is correct
59 Correct 379 ms 58360 KB Output is correct