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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#567375 | #4888. Decoding The Message | Crying | WA | 79ms | 8744kb | C++14 | 2.7kb | 2024-09-16 11:32:27 | 2024-09-16 11:32:28 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef array<int,2> pr;
const int MAXN = 30,M = 256;
int T,k,n;
pr w[M+10];
namespace T1{
const int mod = 255,phi = 128;
int solve(){
int sum = 0;
for(int i=1;i<=M;i++)sum = (sum + 1ll*w[i][0]*w[i][1])%mod;
int fac = 1; if(n >= phi)fac = 0; else for(int i=1;i<=n;i++)fac = fac*i%mod;
if(n > 5)fac += phi;
int pw = 1; while(fac--)pw = pw*sum%mod; return pw;
}
}
namespace T2{
const int mod = 257,phi = 256,K = 600;
int N,buc[mod],now;
bitset<K> dp[M][mod];
int solve(){
N = n/2; //选N个位置base 256,n-N个位置base 1
memset(buc,0,sizeof buc);
if(n<12){
int arr[30] = {}; n = 0;
for(int i=1;i<=M;i++)while(w[i][0]--)arr[n++] = w[i][1];
int w = 1;
for(int i=1;i<=N;i++)w = w*i%phi;
for(int i=1;i<=n-N;i++)w = w*i%phi;
for(int S=0;S<(1<<n);S++){
int pcnt = __builtin_popcount(S); if(pcnt != N)continue;
int sum = 0;
for(int i=0;i<n;i++){
if(S>>i&1)sum = (sum-arr[i]+mod)%mod;
else sum = (sum+arr[i])%mod;
}
buc[sum] = (buc[sum] + w)%phi;
}
int res = 1;
for(int i=0;i<mod;i++)while(buc[i]--)res = res*i%mod;
return res;
}
now = 0; for(int i=1;i<=M;i++)now = (now + 1ll*w[i][0]*w[i][1])%mod;
for(int i=1;i<=M;i++)w[i][1] = w[i][1]*2%mod;
//恰好选出N个人,使得val之和等于now: 此时答案为0,否则为1
int prec = 0; for(int i=1;i<M;i++)prec += w[i][0]; if(prec >= K)return 0;
for(int i=0;i<M;i++)for(int j=0;j<mod;j++)dp[i][j].reset();
dp[0][0][0] = 1;
for(int i=1;i<M;i++)for(int j=0;j<mod;j++)for(int k=0;k<=w[i][0];k++){
int nj = (j+k*w[i][1])%mod;
dp[i][nj] |= (dp[i-1][j]<<k);
}
for(int j=0;j<=mod;j++)for(int k=0;k<=prec;k++)if(dp[M-1][j][k]){
int r = N-k; if(r>=0 && r<=w[M][0]){
int nj = (j + 1ll*r*w[M][1])%mod;
if(nj == now)return 0;
}
}
return 1;
}
}
void solve(){
for(int i=1;i<=M;i++)w[i][0] = 0,w[i][1] = i-1; n = 0;
cin>>k;
while(k--){
int x,c; cin>>x>>c; n += c; w[x+1][0] = c;
}
sort(w+1,w+1+M);
int ans_255 = T1::solve(),ans_257 = T2::solve();
int ans = ans_257; while(ans % 255 != ans_255)ans += 257;
cout<<ans<<endl;
}
int main(){
cin>>T;
while(T--)solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3596kb
input:
5 1 42 1 2 0 1 1 1 1 239 2 2 1 1 2 1 3 1 1 2 2 3 2
output:
42 256 514 1284 61726
result:
ok 5 number(s): "42 256 514 1284 61726"
Test #2:
score: -100
Wrong Answer
time: 79ms
memory: 8744kb
input:
100 1 213 79 1 54 69 1 218 55 1 248 80 1 101 8 1 153 79 1 240 45 1 112 70 1 217 5 1 208 64 1 48 30 1 0 19 1 53 40 1 63 17 1 179 65 1 221 22 1 135 84 1 138 20 1 54 29 1 114 19 1 253 94 1 240 36 1 40 94 1 244 93 1 239 24 1 133 8 1 105 91 1 45 43 1 241 74 1 206 17 1 100 73 1 133 44 1 57 70 1 56 72 1 47...
output:
21846 21846 26215 59110 514 6426 48060 59110 43570 32896 15420 0 59110 6426 26215 17476 15420 15420 21846 21846 32896 15420 59110 21846 54741 9766 48060 48060 32896 50116 26215 32896 15420 54741 6426 17476 15420 21846 54741 39321 54741 54741 6426 54741 1 59110 59110 26215 47031 40350 15420 14391 262...
result:
wrong answer 5th numbers differ - expected: '32896', found: '514'