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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 |
---|---|---|---|---|---|---|---|---|---|
#61397 | #1262. Justice For Everyone | MoQz | AC ✓ | 2393ms | 4624kb | C++ | 2.1kb | 2022-11-12 19:40:26 | 2022-11-12 19:40:27 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
#define fo(i,a,b) for(int i=a;i<=b;++i)
#define fod(i,a,b) for(int i=a;i>=b;--i)
#define LL long long
#define p 998244353
int ksm(int x,int y){
if(!x)return 1;
if(x==1)return y;
LL u=ksm(x/2,y);
u=u*u%p;
if(x&1)u=u*y%p;
return u;
}
int n,a[33],b[33];
int c[33][33];
int det(){
int sig=1;
fo(i,1,n){
fo(j,i+1,n){
while(c[i][i]){
int div=c[j][i]/c[i][i];
fo(k,i,n){
c[j][k]=(c[j][k]-(LL)c[i][k]*div%p+p)%p;
}
swap(c[i],c[j]);
sig*=(-1);
}
swap(c[i],c[j]);
sig*=(-1);
}
}
LL u=1;
fo(i,1,n)u=u*c[i][i]%p;
return (u*sig%p+p)%p;
}
int jc[100011],ny[100011];
void init(){
jc[0]=ny[0]=1;
fo(i,1,100000){
jc[i]=(LL)jc[i-1]*i%p;
ny[i]=ksm(p-2,jc[i]);
}
}
int Y[60011];
int cal(int x){
fo(i,1,n){
fo(j,1,n){
LL u=0,v=1;
fo(k,0,(b[j]-a[i])/2){
u+=v*ny[k]%p*ny[b[j]-a[i]-2*k]%p;
v=v*x%p;
}
c[i][j]=u%p;
}
}
return det();
}
int Ny(int x){
return (LL)ny[x]*jc[x-1]%p;
}
int A[60011],B[60011];
int Map[211][211];
int main(){
scanf("%d",&n);
fo(i,1,n)scanf("%d",&a[i]);
fo(i,1,n)scanf("%d",&b[i]),Map[a[i]][b[i]]=1;
sort(a+1,a+n+1);
sort(b+1,b+n+1);
init();
int len=1;
fo(i,1,n)len+=b[i];
fo(i,1,len){
Y[i]=cal(i);
fo(j,1,i-1){
Y[i]=(LL)Y[i]*Ny(i-j)%p;
}
fo(j,i+1,len){
Y[i]=(LL)Y[i]*(p-Ny(j-i))%p;
}
}
LL ans=0;
B[0]=1;
fo(i,1,len){
fod(j,i-1,0){
if(j){
A[j]=((LL)B[j]*Y[i]%p+(LL)A[j]*(p-i)%p+A[j-1])%p;
}
else A[j]=((LL)B[j]*Y[i]%p+(LL)A[j]*(p-i)%p)%p;
}
fod(j,i,0){
if(j){
B[j]=((LL)B[j]*(p-i)%p+B[j-1])%p;
}
else B[j]=(LL)B[j]*(p-i)%p;
}
}
int t=0;
fo(i,1,n){
t+=b[i]-a[i];
if(!Map[a[i]][b[i]]){
t=1;break;
}
}
if(t&1){
printf("0");
return 0;
}
t/=2;
fo(i,0,t){
if(i&1)ans-=(LL)jc[2*(t-i)]*A[i]%p*ny[t-i]%p;
else ans+=(LL)jc[2*(t-i)]*A[i]%p*ny[t-i]%p;
}
ans=ans%p*jc[t]%p*ksm(t,ksm(p-2,2))%p;
if(ans<0)ans+=p;
printf("%lld",ans);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 25ms
memory: 4452kb
input:
3 1 2 3 3 4 5
output:
1
result:
ok answer is '1'
Test #2:
score: 0
Accepted
time: 25ms
memory: 4472kb
input:
3 1 2 3 7 8 9
output:
42
result:
ok answer is '42'
Test #3:
score: 0
Accepted
time: 21ms
memory: 4412kb
input:
3 1 4 7 3 6 9
output:
6
result:
ok answer is '6'
Test #4:
score: 0
Accepted
time: 16ms
memory: 4408kb
input:
1 1 3
output:
0
result:
ok answer is '0'
Test #5:
score: 0
Accepted
time: 25ms
memory: 4560kb
input:
1 1 1
output:
1
result:
ok answer is '1'
Test #6:
score: 0
Accepted
time: 21ms
memory: 4244kb
input:
2 1 4 4 7
output:
1
result:
ok answer is '1'
Test #7:
score: 0
Accepted
time: 49ms
memory: 4292kb
input:
10 10 9 8 7 6 1 2 3 4 5 11 12 13 114 115 120 129 128 127 126
output:
0
result:
ok answer is '0'
Test #8:
score: 0
Accepted
time: 970ms
memory: 4344kb
input:
30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 131
output:
0
result:
ok answer is '0'
Test #9:
score: 0
Accepted
time: 984ms
memory: 4624kb
input:
30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
output:
936606510
result:
ok answer is '936606510'
Test #10:
score: 0
Accepted
time: 674ms
memory: 4416kb
input:
30 16 21 33 44 51 60 71 81 91 100 110 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199 110 111 112 113 114 115 116 117 118 119 120 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199
output:
0
result:
ok answer is '0'
Test #11:
score: 0
Accepted
time: 676ms
memory: 4548kb
input:
30 16 21 33 44 51 60 71 81 91 100 110 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199 110 111 112 113 114 115 116 117 118 119 120 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 200
output:
836228983
result:
ok answer is '836228983'
Test #12:
score: 0
Accepted
time: 65ms
memory: 4472kb
input:
10 10 9 8 7 6 5 4 3 2 1 110 109 108 107 106 105 104 103 102 101
output:
422463757
result:
ok answer is '422463757'
Test #13:
score: 0
Accepted
time: 2393ms
memory: 4500kb
input:
30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200
output:
575061951
result:
ok answer is '575061951'