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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 |
---|---|---|---|---|---|---|---|---|---|
#670109 | #7875. Queue Sorting | wzxtsl | AC ✓ | 154ms | 6536kb | C++23 | 1.9kb | 2024-10-23 20:31:06 | 2024-10-23 20:31:07 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define For(i,j,k) for (int i=(j);i<=(k);i++)
#define rof(i,j,k) for (int i=(j);i>=(k);i--)
#define ull unsigned long long
#define lowbit(x) ((x)&(-(x)))
#define PII pair<int,int>
#define int long long
#define endl "\n"
#define ls rt<<1
#define rs rt<<1|1
typedef long long ll;
const int mod = 998244353;
const double eps = 1e-9;
const int N=1007;
int n,m;
int a[N];
long long f[N], g[N],inv[N];
int sum[N];
int dp[N][N];
long long p = 998244353;
long long qpow(long long a, long long n)
{
long long result = 1;
while (n > 0)
{
if (n & 1)
{
result = result * a % p;
}
a = a * a % p;
n >>= 1;
}
return result % p;
}
void init()
{
int n=1000;
f[0] = g[0] = 1;
inv[1]=inv[0]=1;
//for(int i=2;i<=n;i++){
//inv[i]=inv[p%i]*(p-p/i)%p;//线性筛求逆元
//}
for (int i = 1; i <= n; i++)
{
f[i] = f[i - 1] * i % p;
}
g[n-1]=qpow(f[n-1],p-2);
for(int i=n-2;i>=0;i--){
g[i]=g[i+1]*(i+1)%p;
}
}
long long C(long long n, long long m)
{
return (f[n] * g[m]) % p * g[n - m] % p;
}
void solve(){
cin>>n;
init();
for(int i=1;i<=n;i++){
cin>>a[i];
sum[i]=sum[i-1]+a[i];
}
dp[0][0]=1;
for(int i=0;i<n;i++){
for(int j=0;j<=sum[i];j++){
if(dp[i][j]){
dp[i+1][j]=(dp[i+1][j]+dp[i][j])%mod;
for(int k=j+1;k<sum[i+1];k++){
int lb=max(0ll,a[i+1]-(k-j));
int ub=min(a[i+1]-1,sum[i+1]-k-1);
for(int x=lb;x<=ub;x++){
dp[i+1][k]=(dp[i+1][k]+dp[i][j]*C(k-j-1,a[i+1]-x-1)%mod)%mod;
}
}
}
}
}
int ans=0;
for(int i=0;i<sum[n];i++){
ans=(ans+dp[n][i])%mod;
}
cout<<ans<<endl;
}
signed main(){
int t=1;
//cin>>t;
while(t--){
solve();
}
}
这程序好像有点Bug,我给组数据试试?
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3600kb
input:
4 1 1 1 1
output:
14
result:
ok 1 number(s): "14"
Test #2:
score: 0
Accepted
time: 145ms
memory: 5364kb
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: 154ms
memory: 6536kb
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: 140ms
memory: 4776kb
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: 31ms
memory: 4144kb
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: 3576kb
input:
1 1
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 2ms
memory: 5656kb
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: 3672kb
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: 1ms
memory: 3776kb
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: 3776kb
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: 3740kb
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: 34ms
memory: 5124kb
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: 1ms
memory: 3636kb
input:
2 232 268
output:
929717758
result:
ok 1 number(s): "929717758"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
1 500
output:
1
result:
ok 1 number(s): "1"
Test #15:
score: 0
Accepted
time: 61ms
memory: 3692kb
input:
3 155 180 165
output:
911108550
result:
ok 1 number(s): "911108550"
Extra Test:
score: 0
Extra Test Passed