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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#475886 | #8526. Polygon II | AWR | AC ✓ | 593ms | 4592kb | C++20 | 1.9kb | 2024-07-13 16:57:37 | 2024-07-13 16:57:39 |
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) % MD;
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;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 4308kb
input:
3 0 2 0
output:
166666668
result:
ok 1 number(s): "166666668"
Test #2:
score: 0
Accepted
time: 0ms
memory: 4316kb
input:
3 0 0 0
output:
500000004
result:
ok 1 number(s): "500000004"
Test #3:
score: 0
Accepted
time: 2ms
memory: 4228kb
input:
3 5 6 7
output:
208333335
result:
ok 1 number(s): "208333335"
Test #4:
score: 0
Accepted
time: 2ms
memory: 4256kb
input:
3 0 25 50
output:
889268532
result:
ok 1 number(s): "889268532"
Test #5:
score: 0
Accepted
time: 2ms
memory: 4364kb
input:
10 39 11 25 1 12 44 10 46 27 15
output:
913863330
result:
ok 1 number(s): "913863330"
Test #6:
score: 0
Accepted
time: 17ms
memory: 4240kb
input:
57 43 22 3 16 7 5 24 32 25 16 41 28 24 30 28 10 32 48 41 43 34 37 48 34 3 9 21 41 49 25 2 0 36 45 34 33 45 9 42 29 43 9 38 34 44 33 44 6 46 39 22 36 40 37 19 34 3
output:
400729664
result:
ok 1 number(s): "400729664"
Test #7:
score: 0
Accepted
time: 29ms
memory: 4400kb
input:
100 44 32 6 6 6 44 12 32 6 9 23 12 14 23 12 14 23 49 6 14 32 23 49 9 32 24 23 6 32 6 49 23 12 44 24 9 14 6 24 44 24 23 44 44 49 32 49 12 49 49 24 49 12 23 3 14 6 3 3 6 12 3 49 24 49 24 24 32 23 32 49 14 3 24 49 3 32 14 44 24 49 3 32 23 49 44 44 9 23 14 49 9 3 6 44 24 3 3 12 44
output:
32585394
result:
ok 1 number(s): "32585394"
Test #8:
score: 0
Accepted
time: 141ms
memory: 4308kb
input:
1000 2 27 0 0 27 0 2 0 27 0 27 27 0 0 0 0 0 2 0 27 0 2 2 0 27 27 0 0 0 27 2 2 2 27 0 2 27 2 0 2 27 0 0 27 0 27 0 0 27 2 27 2 2 27 2 27 0 0 27 0 27 0 2 27 2 2 0 27 27 27 27 0 27 0 27 0 2 2 0 2 2 27 0 0 27 0 0 27 0 2 27 27 2 27 2 0 0 2 27 27 27 27 27 27 2 2 0 2 2 0 2 2 0 27 0 27 2 2 0 27 27 0 0 27 2 2...
output:
94588769
result:
ok 1 number(s): "94588769"
Test #9:
score: 0
Accepted
time: 374ms
memory: 4540kb
input:
1000 40 14 47 3 32 18 3 49 22 23 32 18 23 24 18 32 23 39 32 27 49 49 22 50 50 22 23 47 14 47 50 32 22 24 49 49 18 22 18 22 50 3 32 47 40 3 39 22 24 47 32 49 49 22 32 39 14 49 39 3 32 22 24 18 39 49 24 18 40 23 23 49 39 39 18 39 27 49 14 27 27 14 18 24 39 22 40 50 18 18 18 39 39 18 23 23 22 3 49 47 2...
output:
626481946
result:
ok 1 number(s): "626481946"
Test #10:
score: 0
Accepted
time: 298ms
memory: 4408kb
input:
1000 28 32 35 9 21 11 43 23 45 15 23 2 8 3 39 41 31 9 45 35 27 14 40 28 31 9 31 9 9 40 8 6 27 43 3 27 23 49 27 6 28 25 11 9 15 27 38 27 12 28 25 2 15 27 45 6 27 1 21 38 1 25 27 21 49 31 31 14 39 39 8 39 40 28 15 31 21 14 43 38 11 8 8 23 9 11 15 2 11 39 32 14 28 15 40 49 27 9 23 9 9 6 21 2 2 1 14 11 ...
output:
644443122
result:
ok 1 number(s): "644443122"
Test #11:
score: 0
Accepted
time: 313ms
memory: 4544kb
input:
972 39 15 23 0 40 29 43 47 6 9 30 9 2 8 19 9 45 25 26 38 33 18 6 33 44 48 24 8 4 16 33 42 33 31 36 33 13 16 3 12 21 19 1 30 24 23 43 35 0 33 31 32 23 31 36 12 26 0 29 48 28 33 28 28 3 49 9 5 29 8 29 28 49 41 33 49 5 49 6 9 50 25 39 11 1 36 6 44 10 34 32 31 25 31 36 36 3 9 50 35 47 43 25 46 30 18 5 2...
output:
684920840
result:
ok 1 number(s): "684920840"
Test #12:
score: 0
Accepted
time: 48ms
memory: 4416kb
input:
147 34 47 42 23 46 3 41 9 15 42 21 32 24 1 19 46 29 35 38 20 2 43 36 47 19 23 20 9 6 28 48 46 45 21 19 41 31 36 50 7 11 25 0 43 38 46 21 2 26 40 32 14 45 35 47 21 13 26 26 30 3 36 35 45 36 21 21 25 2 40 35 50 23 3 16 44 40 42 6 37 36 19 20 14 30 47 13 49 47 45 26 12 15 21 42 30 19 5 21 9 28 8 3 34 4...
output:
972735235
result:
ok 1 number(s): "972735235"
Test #13:
score: 0
Accepted
time: 310ms
memory: 4536kb
input:
1000 36 15 9 5 35 37 17 30 24 13 18 32 14 35 36 26 23 7 21 15 43 15 21 11 33 33 9 16 5 26 1 45 48 27 20 20 20 48 42 27 22 7 39 35 11 38 33 47 22 34 43 4 32 0 47 35 48 8 9 3 40 3 27 22 20 43 12 37 30 18 2 37 37 35 44 3 42 14 20 24 44 5 17 38 46 41 28 23 21 7 13 15 35 38 21 14 6 37 37 6 13 34 32 13 23...
output:
179933029
result:
ok 1 number(s): "179933029"
Test #14:
score: 0
Accepted
time: 320ms
memory: 4416kb
input:
1000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7...
output:
540327646
result:
ok 1 number(s): "540327646"
Test #15:
score: 0
Accepted
time: 316ms
memory: 4476kb
input:
1000 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 46 46 46 46 46 46 46 46 46 46 46 46 46 4...
output:
169647494
result:
ok 1 number(s): "169647494"
Test #16:
score: 0
Accepted
time: 575ms
memory: 4592kb
input:
1000 11 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 40 50 50 50 50 50 21 50 12 50 50 50 50 50 0 50 50 50 38 50 50 50 50 50 50 25 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 7 50 50 50 50 50 50 50 50 ...
output:
862643524
result:
ok 1 number(s): "862643524"
Test #17:
score: 0
Accepted
time: 593ms
memory: 4520kb
input:
1000 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 5...
output:
819612372
result:
ok 1 number(s): "819612372"
Test #18:
score: 0
Accepted
time: 593ms
memory: 4528kb
input:
1000 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 5...
output:
18215579
result:
ok 1 number(s): "18215579"
Test #19:
score: 0
Accepted
time: 5ms
memory: 4248kb
input:
16 0 2 24 1 23 9 14 17 28 29 25 27 15 19 11 20
output:
115090079
result:
ok 1 number(s): "115090079"
Test #20:
score: 0
Accepted
time: 34ms
memory: 4384kb
input:
1000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...
output:
819612372
result:
ok 1 number(s): "819612372"
Test #21:
score: 0
Accepted
time: 3ms
memory: 4316kb
input:
18 9 4 21 5 22 6 9 16 3 14 11 2 0 12 6 3 7 21
output:
0
result:
ok 1 number(s): "0"
Extra Test:
score: 0
Extra Test Passed