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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#475878 | #8526. Polygon II | AWR | WA | 3ms | 4384kb | C++20 | 1.9kb | 2024-07-13 16:55:20 | 2024-07-13 16:55:21 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pll = pair<ll, ll>;
#define fir first
#define sec second
#define mpr make_pair
#define vv vector
#define eb emplace_back
#define Fr(i, l, r) for (ll i = l; i <= r; ++i)
#define Rf(i, r, l) for (ll i = r; i >= l; --i)
template<typename T> void Min(T& x, T y) {
if (y < x) x = y;
}
template<typename T> void Max(T& x, T y) {
if (y > x) x = y;
}
const long long MD = 1e9 + 7;
ll qpow(ll a, ll b) {
ll res = 1;
for (; b; b >>= 1, a = a * a % MD) if (b & 1) res = res * a % MD;
return res;
}
const long long V = 2000, inv2 = (MD + 1) / 2;
ll n, a[1010], fac[1010], ifac[1010];
ll K[1010], rem[65], cnt[65];
ll ans, dp[65][2010];
ll binom(ll a, ll b) {
return fac[a] * ifac[b] % MD * ifac[a - b] % MD;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n, fac[0] = 1, ifac[0] = 1;
Fr (i, 1, n) {
cin >> a[i], ++a[i], ++cnt[a[i]];
Fr (j, 1, a[i] - 1) ++K[j];
fac[i] = fac[i - 1] * i % MD;
ifac[i] = qpow(fac[i], MD - 2);
}
Rf (i, 55, 0) rem[i] = rem[i + 1] + K[i];
Fr (j, 0, n) {
ll res = 0;
Fr (i, 0, n) {
ll val = qpow(max(0ll, j + 1 - i), n) * ifac[n] % MD * binom(n, i) % MD;
if (i & 1) val = MD - val;
res = (res + val) % MD;
}
dp[0][j] = res;
}
Rf (j, n, 1) dp[0][j] = (dp[0][j] - dp[0][j - 1] + MD) % MD;
Rf (j, V, 0) if (j % 2) dp[0][j] = 0;
else dp[0][j] = dp[0][j / 2];
// Fr (i, 0, n) cout << dp[0][i] << '\n';
Fr (i, 1, 55) {
ans = (ans + (dp[i - 1][0] + dp[i - 1][1]) * qpow(inv2, rem[i]) % MD * cnt[i]) % MD;
ll t1 = qpow(inv2, K[i]);
Fr (j, 0, V) Fr (k, 0, K[i]) {
ll p = t1 * binom(K[i], k);
dp[i][j / 2 + k] = (dp[i][j / 2 + k] + dp[i - 1][j] * p) % MD;
}
// cout << "ans = " << ans << '\n';
}
// cout << dp[2][0] << '\n';
ans = (1ll - ans + MD) % MD;
cout << ans << '\n';
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 4384kb
input:
3 0 2 0
output:
166666668
result:
ok 1 number(s): "166666668"
Test #2:
score: 0
Accepted
time: 1ms
memory: 4376kb
input:
3 0 0 0
output:
500000004
result:
ok 1 number(s): "500000004"
Test #3:
score: 0
Accepted
time: 1ms
memory: 4360kb
input:
3 5 6 7
output:
208333335
result:
ok 1 number(s): "208333335"
Test #4:
score: 0
Accepted
time: 2ms
memory: 4312kb
input:
3 0 25 50
output:
889268532
result:
ok 1 number(s): "889268532"
Test #5:
score: -100
Wrong Answer
time: 3ms
memory: 4224kb
input:
10 39 11 25 1 12 44 10 46 27 15
output:
976719869
result:
wrong answer 1st numbers differ - expected: '913863330', found: '976719869'