QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#737527 | #247. 州区划分 | KiharaTouma# | 100 ✓ | 5839ms | 390148kb | C++23 | 2.5kb | 2024-11-12 16:04:49 | 2024-11-12 16:04:57 |
Judging History
answer
//qoj247
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int P = 998244353;
int inv[4410010], eg[25], vis, cc;
int ok[2100000];
int w[2100000], a[25];
int n, m, p;
int F[22][2100000], G[22][2100000];
void dfs(int x, int dj){
vis |= (1 << x);
for(int i = 1; i <= n; ++ i){
if((((dj & eg[x]) >> i) & 1) && !((vis >> i) & 1)){
dfs(i, dj);
}
}
}
void mdf(int &x){
if(x >= P) x -= P;
if(x < 0) x += P;
}
void fwt(int f[], int op){
for(int i = 1; i < (1 << n); i *= 2){
for(int j = 0; j < (1 << n); j += i * 2){
for(int k = 0; k < i; ++ k){
f[i+j+k] += f[j+k] * op;
mdf(f[i+j+k]);
}
}
}
}
int main(){
inv[1] = 1;
for(int i = 2; i < 4410010; ++ i){
inv[i] = (P - P / i) * 1ll * inv[P%i] % P;
}
scanf("%d%d%d", &n, &m, &p);
for(int i = 1; i <= m; ++ i){
int u, v;
scanf("%d%d", &u, &v);
eg[u] |= (1 << v);
eg[v] |= (1 << u);
}
for(int i = 1; i <= n; ++ i){
scanf("%d", &a[i]);
}
for(int i = 1; i < (1 << n); ++ i){
int flg = -1, flgg = 0;
for(int j = 1; j <= n; ++ j){
if((i >> j - 1) & 1){
w[i] += a[j];
if(flg == -1){
vis = 0;
dfs(j, i << 1);
flg = (vis != (i << 1));
}
if(__builtin_popcount(eg[j] & (i << 1)) & 1){
flgg = 1;
}
}
}
if(flg || flgg){
ok[i] = 1;
}
if(p == 0){
w[i] = w[i] ? 1 : 0;
} else if(p == 2){
w[i] = w[i] * 1ll * w[i] % P;
}
G[__builtin_popcount(i)][i] += w[i] * ok[i];
mdf(G[__builtin_popcount(i)][i]);
}
F[0][0] = 1;
fwt(F[0], 1);
for(int i = 1; i <= n; ++ i){
fwt(G[i], 1);
}
for(int i = 1; i <= n; ++ i){
for(int j = 0; j < i; ++ j){
for(int k = 0; k < (1 << n); ++ k){
F[i][k] += F[j][k] * 1ll * G[i-j][k] % P;
mdf(F[i][k]);
}
}
fwt(F[i], -1);
for(int k = 0; k < (1 << n); ++ k){
F[i][k] = F[i][k] * 1ll * inv[w[k]] % P;
}
fwt(F[i], 1);
}
fwt(F[n], -1);
printf("%d\n", F[n][(1<<n)-1]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 26
Accepted
Test #1:
score: 26
Accepted
time: 12ms
memory: 26716kb
input:
5 4 2 3 1 4 1 5 1 4 3 94 45 77 43 3
output:
652834711
result:
ok 1 number(s): "652834711"
Test #2:
score: 26
Accepted
time: 24ms
memory: 25464kb
input:
10 34 2 1 2 5 1 6 1 1 8 1 9 1 10 3 2 2 6 7 2 2 8 9 2 10 2 3 4 3 5 3 6 3 8 9 3 10 3 4 5 6 4 8 4 9 4 10 4 5 8 9 5 10 5 7 6 6 8 6 10 8 7 9 7 10 7 8 9 10 9 89 50 53 95 71 52 83 54 54 12
output:
748246143
result:
ok 1 number(s): "748246143"
Test #3:
score: 26
Accepted
time: 52ms
memory: 29516kb
input:
15 81 0 1 4 6 1 1 7 1 8 1 9 10 1 1 13 14 1 1 15 2 3 4 2 5 2 6 2 2 7 2 8 2 11 12 2 13 2 14 2 2 15 4 3 5 3 3 7 3 8 3 9 10 3 11 3 3 13 14 3 15 3 4 5 6 4 4 7 4 8 9 4 11 4 4 12 13 4 14 4 15 4 6 5 8 5 5 9 5 10 5 11 5 12 6 7 8 6 9 6 10 6 11 6 6 12 6 14 8 7 7 9 7 10 7 11 7 12 13 7 7 14 7 15 8 10 8 11 8 12 1...
output:
318194083
result:
ok 1 number(s): "318194083"
Test #4:
score: 26
Accepted
time: 70ms
memory: 30824kb
input:
15 70 1 1 2 3 1 4 1 1 5 6 1 8 1 1 9 1 12 1 13 1 15 2 3 2 4 2 5 2 6 2 7 2 9 2 11 12 2 13 2 2 14 3 5 6 3 3 8 9 3 11 3 12 3 3 13 4 5 8 4 10 4 4 12 13 4 6 5 7 5 5 8 9 5 11 5 5 13 14 5 6 7 6 8 6 9 10 6 6 12 6 13 6 14 15 6 7 8 7 9 7 10 12 7 7 13 14 7 9 8 10 8 12 8 14 8 15 8 9 11 13 9 14 9 9 15 10 11 13 10...
output:
92331988
result:
ok 1 number(s): "92331988"
Test #5:
score: 26
Accepted
time: 75ms
memory: 29952kb
input:
15 67 2 1 2 1 3 5 1 1 6 1 8 11 1 12 1 1 13 15 1 2 5 2 6 8 2 2 10 11 2 2 12 13 2 2 14 4 3 9 3 3 10 11 3 15 3 5 4 7 4 8 4 10 4 11 4 4 12 13 4 14 4 5 6 5 8 9 5 10 5 12 5 13 5 14 5 6 7 6 8 6 9 6 10 6 11 6 14 7 8 10 7 11 7 12 7 7 15 9 8 8 10 13 8 8 14 10 9 9 11 9 12 13 9 14 9 15 9 13 10 15 10 12 11 14 11...
output:
237027263
result:
ok 1 number(s): "237027263"
Subtask #2:
score: 29
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 29
Accepted
time: 5214ms
memory: 389896kb
input:
21 146 0 1 6 7 1 1 8 1 9 10 1 1 11 1 14 1 15 1 16 18 1 1 19 1 21 2 3 4 2 5 2 2 7 2 8 2 9 2 12 13 2 2 15 2 17 2 18 2 19 2 20 2 21 4 3 5 3 3 6 3 7 8 3 3 10 12 3 3 13 3 15 3 16 3 18 20 3 3 21 4 5 4 6 4 8 9 4 12 4 13 4 17 4 18 4 20 4 4 21 5 6 5 7 5 8 5 9 12 5 13 5 5 14 5 15 5 17 18 5 5 19 20 5 5 21 6 8 ...
output:
739452507
result:
ok 1 number(s): "739452507"
Test #7:
score: 29
Accepted
time: 3700ms
memory: 390148kb
input:
21 209 0 15 17 18 21 8 20 7 20 11 17 11 13 12 18 2 13 19 20 4 8 6 13 3 20 5 10 4 20 1 5 7 13 5 7 4 10 4 9 6 7 4 18 8 17 1 11 3 13 11 19 2 15 3 8 14 19 5 16 2 10 13 21 4 21 7 11 5 20 3 7 6 19 9 17 13 16 5 12 1 6 3 15 6 16 2 5 4 5 8 16 1 3 1 16 1 14 2 9 7 16 10 16 2 18 13 15 7 10 11 12 10 20 6 10 1 20...
output:
835537739
result:
ok 1 number(s): "835537739"
Test #8:
score: 29
Accepted
time: 5150ms
memory: 389856kb
input:
21 146 0 2 1 1 4 5 1 1 7 1 8 1 9 13 1 14 1 15 1 16 1 1 17 18 1 1 19 2 3 2 4 5 2 2 6 7 2 2 8 9 2 2 10 2 11 2 12 13 2 15 2 2 18 19 2 2 20 21 2 5 3 3 6 7 3 3 10 13 3 14 3 15 3 3 16 3 17 3 20 21 3 4 7 4 9 10 4 4 11 12 4 4 13 4 16 4 17 18 4 4 20 21 4 5 7 8 5 5 9 13 5 5 14 15 5 5 16 5 17 5 18 5 20 21 5 7 ...
output:
873127243
result:
ok 1 number(s): "873127243"
Test #9:
score: 29
Accepted
time: 3856ms
memory: 389856kb
input:
21 205 0 4 10 8 15 8 16 6 21 1 5 9 15 1 7 12 18 2 19 5 10 7 18 8 10 11 20 3 11 18 20 4 20 15 17 15 19 3 5 2 18 19 20 8 19 1 3 8 13 7 21 10 17 16 17 5 13 15 21 5 6 9 20 1 16 2 13 16 20 10 19 10 11 1 11 2 21 13 20 2 12 14 19 2 3 3 9 4 16 4 14 9 13 10 18 4 11 16 21 4 9 7 14 3 19 14 18 7 20 3 10 15 16 5...
output:
38084232
result:
ok 1 number(s): "38084232"
Subtask #3:
score: 23
Accepted
Dependency #1:
100%
Accepted
Test #10:
score: 23
Accepted
time: 5839ms
memory: 389808kb
input:
21 159 1 2 1 3 1 5 1 7 1 1 9 11 1 12 1 13 1 17 1 18 1 1 19 20 1 2 3 2 4 5 2 7 2 2 8 2 10 12 2 13 2 2 14 15 2 2 18 19 2 20 2 21 2 3 4 5 3 6 3 7 3 3 8 9 3 3 10 3 11 3 12 3 13 14 3 3 15 16 3 18 3 3 19 3 21 5 4 6 4 4 7 8 4 9 4 4 11 4 14 4 15 16 4 17 4 19 4 21 4 5 6 5 7 5 9 10 5 11 5 12 5 5 14 15 5 5 17 ...
output:
211589144
result:
ok 1 number(s): "211589144"
Test #11:
score: 23
Accepted
time: 4720ms
memory: 389852kb
input:
21 208 1 12 15 5 13 15 18 2 11 12 19 3 11 11 15 9 11 5 14 11 13 7 12 1 5 3 5 8 13 14 18 9 21 2 4 1 12 3 7 9 10 12 20 5 15 10 20 15 19 16 18 18 20 13 16 3 9 16 20 6 13 11 16 15 17 1 20 4 6 11 21 1 3 1 15 8 21 13 19 7 21 17 19 4 5 10 11 11 17 3 20 7 10 12 18 7 9 5 16 11 12 3 12 14 19 8 20 12 21 7 13 5...
output:
56778317
result:
ok 1 number(s): "56778317"
Test #12:
score: 23
Accepted
time: 5797ms
memory: 389864kb
input:
21 137 1 3 1 1 4 5 1 7 1 8 1 1 11 1 12 13 1 16 1 1 17 1 19 20 1 21 1 2 3 2 4 2 5 7 2 8 2 9 2 10 2 2 11 12 2 2 13 17 2 18 2 2 19 3 4 3 6 3 13 14 3 15 3 17 3 3 18 19 3 21 3 4 5 6 4 7 4 4 8 9 4 10 4 4 11 4 12 4 14 15 4 16 4 4 19 4 20 6 5 7 5 8 5 9 5 10 5 5 11 12 5 13 5 5 15 5 17 5 18 5 19 21 5 7 6 6 10...
output:
490355723
result:
ok 1 number(s): "490355723"
Test #13:
score: 23
Accepted
time: 5255ms
memory: 389860kb
input:
21 205 1 16 18 6 14 10 14 1 2 12 14 4 8 12 16 1 4 2 15 14 16 4 11 15 17 4 7 3 16 11 17 15 21 13 20 2 21 6 19 13 14 20 21 17 19 9 19 10 20 7 9 11 15 7 13 8 14 4 15 8 13 5 14 3 11 8 9 10 21 3 10 14 18 5 16 5 20 17 18 3 17 1 8 5 10 13 15 3 9 7 21 14 20 1 20 8 10 1 13 5 17 13 16 15 18 4 10 18 21 1 5 18 ...
output:
748937625
result:
ok 1 number(s): "748937625"
Subtask #4:
score: 22
Accepted
Dependency #1:
100%
Accepted
Test #14:
score: 22
Accepted
time: 5460ms
memory: 390116kb
input:
21 207 2 2 6 9 20 2 11 11 19 6 9 7 20 12 19 12 18 15 18 1 4 5 8 20 21 17 18 5 9 12 14 4 14 15 17 18 20 3 18 11 13 4 17 12 15 2 19 10 20 11 17 5 7 3 4 14 21 9 21 13 17 9 13 13 20 3 17 2 17 2 8 17 20 1 17 9 19 2 12 4 9 14 15 14 18 6 15 16 20 3 8 12 17 5 10 9 10 8 15 4 16 2 21 5 13 9 15 1 21 2 10 8 11 ...
output:
317043733
result:
ok 1 number(s): "317043733"
Test #15:
score: 22
Accepted
time: 5647ms
memory: 389856kb
input:
21 205 2 6 14 7 19 2 3 6 7 5 18 1 10 3 19 16 18 4 15 10 16 13 21 9 11 12 19 13 19 1 18 15 16 7 11 2 11 9 19 4 13 14 21 4 17 6 8 11 18 12 14 15 19 11 14 2 16 4 11 10 19 10 13 10 21 5 6 2 13 4 21 4 5 9 10 7 14 1 15 4 16 8 11 5 19 5 21 13 16 1 6 4 20 16 17 5 11 13 14 5 9 3 11 11 20 6 15 8 15 6 11 5 10 ...
output:
364004893
result:
ok 1 number(s): "364004893"
Extra Test:
score: 0
Extra Test Passed