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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#488974 | #8815. Space Station | Fffoooo | WA | 246ms | 9140kb | C++14 | 1.5kb | 2024-07-24 16:50:45 | 2024-07-24 16:50:45 |
Judging History
answer
#include<cstdio>
#include<algorithm>
#define int long long
template<typename T>void read(T &x){
x=0;bool f=0;char ch=getchar();
for(;ch<'0'||ch>'9';ch=getchar())if(ch=='-')f=1;
for(;ch>='0'&&ch<='9';ch=getchar())x=(x<<1)+(x<<3)+(ch^48);
if(f)x=-x;
}
void write(char x){putchar(x);}
template<typename T>void write(T x){
if(x<0)putchar('-'),x=-x;
char stk[11];int cnt=0;
do stk[++cnt]=x%10+48,x/=10;while(x);
for(;cnt;)putchar(stk[cnt--]);
}
template<typename T,typename ...Args>void read(T &x,Args &...args){read(x);read(args...);}
template<typename T,typename ...Args>void write(T x,Args ...args){write(x);write(args...);}
template<typename T>T min(T x,T y){return x<y?x:y;}
template<typename T>T max(T x,T y){return x>y?x:y;}
const int mod=998244353;int n,m,a[10004],dp[104][10004],sum,fac[104],inv[104],ans;
int C(int n,int m){return fac[n]*inv[n-m]%mod*inv[m]%mod;}
int fast_pow(int x,int y){
int res=1;
for(;y;y>>=1,x=x*x%mod)if(y&1)res=res*x%mod;
return res;
}
signed main(){
read(n,m);dp[0][0]=1;
for(int i=1;i<=n;++i)read(a[i]),sum+=a[i];
for(int i=1;i<=n;++i)for(int j=n;j;--j)for(int k=sum;k>=a[i];--k)(dp[j][k]+=dp[j-1][k-a[i]])%=mod;
inv[0]=fac[0]=1;
for(int i=1;i<=n;++i)fac[i]=fac[i-1]*i%mod,inv[i]=fast_pow(fac[i],mod-2);
for(int i=1;i<=n;++i)for(int j=1;j<=sum;++j){
int tmp=fast_pow(C(n,i),mod-2);
if(j>i*m)(ans+=tmp*m%mod*dp[i][j]%mod)%=mod;
else (ans+=tmp*fast_pow(i,mod-2)%mod*j%mod*dp[i][j]%mod)%=mod;
}
write(ans);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 1232kb
input:
3 3 2 3 4
output:
499122185
result:
ok 1 number(s): "499122185"
Test #2:
score: 0
Accepted
time: 0ms
memory: 1344kb
input:
5 1 10 20 30 40 50
output:
5
result:
ok 1 number(s): "5"
Test #3:
score: 0
Accepted
time: 0ms
memory: 1300kb
input:
1 9 37
output:
9
result:
ok 1 number(s): "9"
Test #4:
score: 0
Accepted
time: 0ms
memory: 1348kb
input:
5 5 24 41 29 6 40
output:
25
result:
ok 1 number(s): "25"
Test #5:
score: 0
Accepted
time: 1ms
memory: 1360kb
input:
10 34 91 86 1 14 98 13 85 64 91 20
output:
707882334
result:
ok 1 number(s): "707882334"
Test #6:
score: 0
Accepted
time: 203ms
memory: 8912kb
input:
100 9 83 99 170 80 174 137 1 91 111 35 69 39 148 76 142 90 105 30 114 176 196 85 26 109 162 167 171 148 169 162 159 3 4 6 33 61 163 7 77 63 8 20 13 51 26 11 149 136 134 187 96 95 113 104 128 48 167 74 18 91 200 62 167 32 5 180 189 39 63 111 68 72 81 128 42 13 57 180 111 91 83 177 34 45 158 29 114 33...
output:
82380556
result:
ok 1 number(s): "82380556"
Test #7:
score: -100
Wrong Answer
time: 246ms
memory: 9140kb
input:
100 33 24 157 144 142 151 8 93 54 189 74 12 129 77 95 59 13 159 48 67 116 174 194 9 166 170 84 136 68 39 181 133 190 37 115 42 95 134 148 91 59 130 1 68 48 14 126 193 50 192 196 44 85 37 96 66 39 180 129 22 2 17 101 45 159 171 68 113 142 197 156 63 96 185 108 72 69 144 33 115 142 139 11 57 76 126 19...
output:
349687113
result:
wrong answer 1st numbers differ - expected: '516465986', found: '349687113'