Submission #247424

# Submission time Handle Problem Language Result Execution time Memory
247424 2020-07-11T10:59:11 Z ernestvw Horses (IOI15_horses) C++11
54 / 100
144 ms 20732 KB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

const ll mod = 1e9 + 7;

int n;
vector<ll> C, P;

ll preprod = 1;

ll fp(ll x, ll y){
	ll res=1;
	while(y){
		if(y%2LL)res*=x;
		res%=mod;
		x*=x;
		x%=mod;
		y/=2LL;
	}
	return res;
}

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

int solve() {
	ll prod = C[n - 1];
	int best = n - 1;
	long double ldprod = (long double)C[n-1];
	for(int i = n - 2; i >= 0; --i) {
		prod *= C[i];
		ldprod *= C[i];
		long double x = ldprod * (long double)P[best];
		if(x >= 1.5e18) break;
		if(prod * P[best] <= C[i] * P[i]) {
			best = i;
			prod = C[i];
			ldprod = (long double)C[i];
		}
	}
	prod = 1;
	if(n > 1000) {
      	if(best < n - 100) exit(1);
		prod = preprod;
		for(int i = n - 100; i <= best; ++i)
			prod = (prod * C[i]) % mod;
		prod = (prod * P[best]) % mod;
		return int(prod % mod);
	}
	for(int i = 0; i <= best; ++i) {
		prod *= C[i];
		prod %= mod;
	}
	prod *= P[best];
	prod %= mod;
	return int(prod % mod);
}

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];
	if(n > 1000) {
		preprod = 1;
		for(int i = 0; i < n - 100; ++i) {
			preprod *= C[i];
			preprod %= mod;
		}
	}
	return solve();
}

int updateX(int pos, int val) {
	if(n > 1000 && pos < n - 100) {
		preprod *= inv(C[pos]);
		preprod %= mod;
		preprod *= (ll)val;
		preprod %= mod;
	}
	C[pos] = val;
	return solve();
}

int updateY(int pos, int val) {
	P[pos] = val;
	return solve();
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 256 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 6 ms 256 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 4 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 256 KB Output is correct
15 Correct 4 ms 256 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 256 KB Output is correct
2 Correct 4 ms 256 KB Output is correct
3 Correct 5 ms 256 KB Output is correct
4 Correct 4 ms 256 KB Output is correct
5 Correct 4 ms 256 KB Output is correct
6 Correct 4 ms 256 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 256 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 304 KB Output is correct
12 Correct 4 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 4 ms 256 KB Output is correct
15 Correct 5 ms 256 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 5 ms 256 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 256 KB Output is correct
21 Correct 5 ms 256 KB Output is correct
22 Correct 4 ms 256 KB Output is correct
23 Correct 10 ms 384 KB Output is correct
24 Correct 10 ms 384 KB Output is correct
25 Correct 10 ms 308 KB Output is correct
26 Correct 10 ms 384 KB Output is correct
27 Correct 13 ms 384 KB Output is correct
28 Correct 10 ms 384 KB Output is correct
29 Correct 14 ms 384 KB Output is correct
30 Correct 10 ms 384 KB Output is correct
31 Correct 12 ms 384 KB Output is correct
32 Correct 13 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 115 ms 13048 KB Output is correct
2 Correct 144 ms 13176 KB Output is correct
3 Correct 113 ms 16888 KB Output is correct
4 Correct 138 ms 20728 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 256 KB Output is correct
4 Correct 4 ms 256 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 256 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 256 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 256 KB Output is correct
12 Correct 4 ms 256 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 256 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 256 KB Output is correct
20 Correct 5 ms 256 KB Output is correct
21 Correct 5 ms 256 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 10 ms 384 KB Output is correct
24 Correct 10 ms 384 KB Output is correct
25 Correct 10 ms 384 KB Output is correct
26 Correct 10 ms 432 KB Output is correct
27 Correct 13 ms 384 KB Output is correct
28 Correct 10 ms 384 KB Output is correct
29 Correct 14 ms 384 KB Output is correct
30 Correct 10 ms 384 KB Output is correct
31 Correct 12 ms 384 KB Output is correct
32 Correct 14 ms 384 KB Output is correct
33 Runtime error 33 ms 12032 KB Execution failed because the return code was nonzero
34 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 4 ms 256 KB Output is correct
5 Correct 4 ms 256 KB Output is correct
6 Correct 5 ms 256 KB Output is correct
7 Correct 4 ms 256 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 256 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 5 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 4 ms 256 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 256 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 4 ms 256 KB Output is correct
21 Correct 4 ms 256 KB Output is correct
22 Correct 5 ms 256 KB Output is correct
23 Correct 11 ms 384 KB Output is correct
24 Correct 10 ms 384 KB Output is correct
25 Correct 10 ms 384 KB Output is correct
26 Correct 10 ms 384 KB Output is correct
27 Correct 13 ms 384 KB Output is correct
28 Correct 10 ms 384 KB Output is correct
29 Correct 14 ms 384 KB Output is correct
30 Correct 10 ms 384 KB Output is correct
31 Correct 12 ms 384 KB Output is correct
32 Correct 13 ms 384 KB Output is correct
33 Correct 116 ms 13052 KB Output is correct
34 Correct 143 ms 13048 KB Output is correct
35 Correct 113 ms 16888 KB Output is correct
36 Correct 139 ms 20732 KB Output is correct
37 Runtime error 35 ms 16000 KB Execution failed because the return code was nonzero
38 Halted 0 ms 0 KB -