Submission #397021

# Submission time Handle Problem Language Result Execution time Memory
397021 2021-05-01T06:57:38 Z tibinyte The grade (info1cup18_thegrade) C++14
100 / 100
455 ms 6572 KB
#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <set>
#include <bitset>
#include <string>
#include <unordered_map>
#pragma optimize("O2")
#define mod 1000000007
using namespace std;
long long powmod(long long a, long long b, long long p) {
	if (b == 0) {
		return 1;
	}
	if (b % 2 == 1) {
		return (a * powmod(a, b - 1, p)) % p;
	}
	long long P = powmod(a, b / 2, p);
	return (P * P) % p;
}
long long inv(long long a, long long p) {
	return powmod(a, p - 2, p);
}
vector<long long> fact;
long long combs(long long n, long long k, long long p) {
	return ((fact[n] * inv(fact[k], p) % p) * inv(fact[n - k] , p)) % p;
}
long long stars_and_bars(long long n, long long k, long long p) {
	return combs(n + k - 1, n, p);
}
void precompute(long long n , long long p) {
	fact = vector<long long>(n + 1);
	fact[0] = 1;
	for (int i = 1; i <= n; ++i) {
		fact[i] = fact[i - 1] * i;
		fact[i] %= p;
	}
}
int main() {
	int q, n;
	cin >> q >> n;
	precompute(n, mod);
	vector<int> f(1000001);
	long long sum = 0;
	long long perms = 1;
	long long elem = 0;
	while (q--) {
		int t, x;
		cin >> t >> x;
		perms *= inv(fact[elem], mod);
		perms %= mod;
		if (t == 1) {
			perms *= fact[f[x]];
			perms %= mod;
			f[x]--;
			perms *= inv(fact[f[x]], mod);
			perms %= mod;
			elem--;
			sum -= x;
		}
		else {
			perms *= fact[f[x]];
			perms %= mod;
			f[x]++;
			perms *= inv(fact[f[x]], mod);
			perms %= mod;
			sum += x;
			elem++;
		}
		perms *= fact[elem];
		perms %= mod;
		if (sum > n) {
			cout << -1 << '\n';
			continue;
		}
		cout << (perms * stars_and_bars(n - sum, elem + 1, mod)) % mod << '\n';
	}
}

Compilation message

thegrade.cpp:9: warning: ignoring #pragma optimize  [-Wunknown-pragmas]
    9 | #pragma optimize("O2")
      |
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4172 KB Output is correct
2 Correct 3 ms 4172 KB Output is correct
3 Correct 3 ms 4172 KB Output is correct
4 Correct 3 ms 4172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 4276 KB Output is correct
2 Correct 405 ms 5380 KB Output is correct
3 Correct 448 ms 5784 KB Output is correct
4 Correct 413 ms 5600 KB Output is correct
5 Correct 434 ms 5408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 4176 KB Output is correct
2 Correct 374 ms 5656 KB Output is correct
3 Correct 376 ms 5600 KB Output is correct
4 Correct 383 ms 5752 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4172 KB Output is correct
2 Correct 3 ms 4172 KB Output is correct
3 Correct 3 ms 4172 KB Output is correct
4 Correct 3 ms 4172 KB Output is correct
5 Correct 21 ms 4276 KB Output is correct
6 Correct 405 ms 5380 KB Output is correct
7 Correct 448 ms 5784 KB Output is correct
8 Correct 413 ms 5600 KB Output is correct
9 Correct 434 ms 5408 KB Output is correct
10 Correct 14 ms 4176 KB Output is correct
11 Correct 374 ms 5656 KB Output is correct
12 Correct 376 ms 5600 KB Output is correct
13 Correct 383 ms 5752 KB Output is correct
14 Correct 19 ms 4300 KB Output is correct
15 Correct 432 ms 5556 KB Output is correct
16 Correct 403 ms 5644 KB Output is correct
17 Correct 404 ms 5544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 4276 KB Output is correct
2 Correct 405 ms 5380 KB Output is correct
3 Correct 448 ms 5784 KB Output is correct
4 Correct 413 ms 5600 KB Output is correct
5 Correct 434 ms 5408 KB Output is correct
6 Correct 433 ms 6532 KB Output is correct
7 Correct 436 ms 6476 KB Output is correct
8 Correct 455 ms 6468 KB Output is correct
9 Correct 451 ms 6432 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 4176 KB Output is correct
2 Correct 374 ms 5656 KB Output is correct
3 Correct 376 ms 5600 KB Output is correct
4 Correct 383 ms 5752 KB Output is correct
5 Correct 342 ms 6324 KB Output is correct
6 Correct 367 ms 6344 KB Output is correct
7 Correct 381 ms 6572 KB Output is correct
8 Correct 336 ms 6300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4172 KB Output is correct
2 Correct 3 ms 4172 KB Output is correct
3 Correct 3 ms 4172 KB Output is correct
4 Correct 3 ms 4172 KB Output is correct
5 Correct 21 ms 4276 KB Output is correct
6 Correct 405 ms 5380 KB Output is correct
7 Correct 448 ms 5784 KB Output is correct
8 Correct 413 ms 5600 KB Output is correct
9 Correct 434 ms 5408 KB Output is correct
10 Correct 14 ms 4176 KB Output is correct
11 Correct 374 ms 5656 KB Output is correct
12 Correct 376 ms 5600 KB Output is correct
13 Correct 383 ms 5752 KB Output is correct
14 Correct 19 ms 4300 KB Output is correct
15 Correct 432 ms 5556 KB Output is correct
16 Correct 403 ms 5644 KB Output is correct
17 Correct 404 ms 5544 KB Output is correct
18 Correct 433 ms 6532 KB Output is correct
19 Correct 436 ms 6476 KB Output is correct
20 Correct 455 ms 6468 KB Output is correct
21 Correct 451 ms 6432 KB Output is correct
22 Correct 342 ms 6324 KB Output is correct
23 Correct 367 ms 6344 KB Output is correct
24 Correct 381 ms 6572 KB Output is correct
25 Correct 336 ms 6300 KB Output is correct
26 Correct 429 ms 6468 KB Output is correct
27 Correct 445 ms 6420 KB Output is correct
28 Correct 444 ms 6468 KB Output is correct
29 Correct 424 ms 6420 KB Output is correct
30 Correct 428 ms 6408 KB Output is correct