QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#277028 | #7875. Queue Sorting | supepapupu | AC ✓ | 56ms | 7512kb | C++17 | 2.4kb | 2023-12-06 14:45:23 | 2023-12-06 14:45:23 |
Judging History
answer
#include <bits/stdc++.h>
#define x first
#define y second
#define el '\n'
#define debug(x) cout << #x << ": " << x << endl
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int N = 3e5 + 10, INF = 0x3f3f3f3f, mod = 998244353;
void inc(ll &a, ll b) {
a += b;
if (a >= mod) a -= mod;
}
void dec(ll &a, ll b) {
a -= b;
if (a < 0) a += mod;
}
ll add(ll a, ll b) {
a += b;
return a >= mod ? a - mod : a;
}
ll del(ll a, ll b) {
a -= b;
return a < 0 ? a + mod : a;
}
int main() {
ios::sync_with_stdio(0); cin.tie(0);
int n; cin >> n;
vector<int> a(n + 1);
for (int i = 1; i <= n; ++i) cin >> a[i];
int m = accumulate(a.begin(), a.end(), 0);
vector<vector<ll>> binom(m + 1, vector<ll>(m + 1)), sbinom(m + 1, vector<ll>(m + 1));
for (int i = 0; i <= m; ++i) {
for (int j = 0; j <= i; ++j) {
if (!j) binom[i][j] = sbinom[i][j] = 1;
else {
binom[i][j] = add(binom[i - 1][j], binom[i - 1][j - 1]);
sbinom[i][j] = add(sbinom[i][j - 1], binom[i][j]);
}
}
}
vector<ll> f;
for (int i = 1, s = 0; i <= n; ++i) {
if (!a[i]) continue;
vector<ll> dp(s + a[i] + 1);
for (int j = 1; j < a[i]; ++j) {
inc(dp[j], sbinom[j - 1][j - 1]);
if (j - s > 0) dec(dp[j], sbinom[j - 1][j - s - 1]);
}
for (int j = a[i]; j < s + a[i]; ++j) {
inc(dp[j], sbinom[j - 1][a[i] - 1]);
if (j - s > 0) dec(dp[j], sbinom[j - 1][j - s - 1]);
}
for (int j = 1; j <= s; ++j) {
for (int k = j + 1; k < j + a[i]; ++k) {
inc(dp[k], f[j] * sbinom[k - j - 1][k - j - 1] % mod);
if (k - s > 0) dec(dp[k], f[j] * sbinom[k - j - 1][k - s - 1] % mod);
}
for (int k = j + a[i]; k < s + a[i]; ++k) {
inc(dp[k], f[j] * sbinom[k - j - 1][a[i] - 1] % mod);
if (k - s > 0) dec(dp[k], f[j] * sbinom[k - j - 1][k - s - 1] % mod);
}
// dec(dp[s + a[i]], f[j]);
inc(dp[j], f[j]);
}
s += a[i];
f.swap(dp);
// for (int i: f) cout << i << ' '; cout << el;
}
ll ans = 1;
for (ll i: f) inc(ans, i);
cout << ans << el;
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3476kb
input:
4 1 1 1 1
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 56ms
memory: 7448kb
input:
300 0 5 2 2 1 0 3 2 2 5 2 1 1 2 1 3 2 3 2 0 0 0 0 1 2 2 3 0 2 2 3 2 0 2 3 0 6 0 0 2 0 1 3 2 1 1 1 3 4 0 1 0 4 1 1 1 1 1 1 2 3 2 1 2 3 2 3 0 5 3 3 2 0 1 1 0 2 1 1 2 0 0 2 1 1 3 2 2 1 2 1 3 0 3 0 1 2 2 0 5 0 2 2 0 0 0 1 2 1 4 2 1 1 0 3 0 2 0 3 1 1 2 0 2 1 1 0 2 0 1 2 2 3 3 1 1 1 1 0 1 3 3 1 0 2 2 4 2 ...
output:
507010274
result:
ok 1 number(s): "507010274"
Test #3:
score: 0
Accepted
time: 54ms
memory: 7512kb
input:
500 1 1 0 2 1 0 2 3 2 0 0 2 0 2 1 1 0 0 1 1 1 2 1 1 1 0 1 1 2 2 1 4 0 2 1 0 2 3 1 0 1 1 0 2 1 2 2 1 0 0 3 1 4 1 1 2 1 1 0 1 3 1 2 0 0 0 2 1 2 0 0 3 2 1 1 1 1 1 2 1 0 1 0 0 0 1 0 0 2 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 2 1 1 0 1 1 0 1 1 0 0 1 0 3 1 3 0 0 2 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 2 0 0 ...
output:
7590964
result:
ok 1 number(s): "7590964"
Test #4:
score: 0
Accepted
time: 49ms
memory: 7436kb
input:
200 3 1 0 3 2 1 0 3 1 1 2 3 3 1 6 2 1 3 2 1 1 2 1 2 1 5 2 2 3 4 0 4 2 1 2 2 0 2 3 1 2 3 6 3 2 3 2 2 4 2 7 2 1 5 1 9 0 4 4 8 3 3 3 1 3 0 2 2 8 1 3 5 4 3 0 6 1 6 1 3 4 2 2 1 1 4 4 4 1 0 4 3 4 3 3 0 3 2 0 0 3 4 0 3 1 3 2 4 3 2 0 3 2 2 3 2 2 2 1 2 2 1 0 2 0 3 1 3 5 1 3 3 6 5 3 2 2 2 3 6 2 0 5 2 2 2 2 1 ...
output:
507844569
result:
ok 1 number(s): "507844569"
Test #5:
score: 0
Accepted
time: 8ms
memory: 5020kb
input:
100 4 8 2 5 4 4 3 0 2 7 2 3 4 4 1 2 3 4 4 4 3 3 3 3 3 2 4 1 3 5 5 1 4 6 1 1 1 3 2 3 2 1 0 1 4 4 2 4 2 5 3 5 1 6 2 3 3 1 4 4 4 1 4 4 3 4 2 0 2 3 6 1 3 3 5 4 1 1 2 3 0 3 2 2 1 3 3 2 5 6 3 2 3 3 5 4 2 3 4 4
output:
989550242
result:
ok 1 number(s): "989550242"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3436kb
input:
1 1
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3472kb
input:
500 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:
1
result:
ok 1 number(s): "1"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3448kb
input:
10 2 1 3 3 2 3 1 1 3 1
output:
165452340
result:
ok 1 number(s): "165452340"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3448kb
input:
20 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
output:
2
result:
ok 1 number(s): "2"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3440kb
input:
20 0 0 1 0 0 0 0 1 0 0 0 0 0 0 2 0 1 0 0 0
output:
28
result:
ok 1 number(s): "28"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3448kb
input:
10 1 1 1 1 1 1 1 1 1 1
output:
16796
result:
ok 1 number(s): "16796"
Test #12:
score: 0
Accepted
time: 10ms
memory: 5028kb
input:
300 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
431279497
result:
ok 1 number(s): "431279497"
Test #13:
score: 0
Accepted
time: 0ms
memory: 6976kb
input:
2 232 268
output:
929717758
result:
ok 1 number(s): "929717758"
Test #14:
score: 0
Accepted
time: 0ms
memory: 6992kb
input:
1 500
output:
1
result:
ok 1 number(s): "1"
Test #15:
score: 0
Accepted
time: 0ms
memory: 6980kb
input:
3 155 180 165
output:
911108550
result:
ok 1 number(s): "911108550"
Extra Test:
score: 0
Extra Test Passed