# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1054305 | socpite | Secret Permutation (RMI19_permutation) | C++17 | 0 ms | 340 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "permutation.h"
#include<bits/stdc++.h>
using namespace std;
const int maxn = 300;
namespace {
long long D[maxn], DP[maxn];
int p, n;
bool vis[maxn];
vector<int> crr;
vector<vector<int>> allans;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
bool check(int val, int pos){
if(vis[val] || val < 1 || val > n)return false;
if((pos+p)%n < pos && abs(val - crr[(pos+p)%n]) != DP[(pos+p)%n])return false;
if((pos+n-p)%n < pos && abs(val - crr[(pos+n-p)%n]) != DP[pos])return false;
if(pos == n-1 && abs(crr[0] - val) != D[0])return false;
return true;
}
}
void bt(int pos){
if(pos == n){
allans.push_back(crr);
return;
}
int tmp = crr.back() + D[pos];
if(check(tmp, pos)){
crr.push_back(tmp);
vis[tmp] = 1;
bt(pos+1);
vis[tmp] = 0;
crr.pop_back();
}
tmp = crr.back() - D[pos];
if(check(tmp, pos)){
crr.push_back(tmp);
vis[tmp] = 1;
bt(pos+1);
vis[tmp] = 0;
crr.pop_back();
}
}
void solve(int N) {
n = N;
long long sum = 0;
vector<int> P(N);
for(int i = 2; i <= N; i++){
if(__gcd(i, N) == 1){
p = i;
break;
}
}
iota(P.begin(), P.end(), 1);
for(int i = 0; i < N; i++){
D[i] = query(P);
sum += D[i];
P.push_back(P[0]);
P.erase(P.begin());
}
sum /= N-1;
for(int i = 0; i < N; i++){
D[i] = sum - D[i];
// cout << D[i] << endl;
}
sum = 0;
for(int i = 0; i < N; i++)P[i] = i*p%N + 1;
for(int i = 0; i < N; i++){
DP[P[0]-1] = query(P);
sum += DP[P[0]-1];
P.push_back(P[0]);
P.erase(P.begin());
}
sum/=N-1;
for(int i = 0; i < N; i++){
DP[i] = sum - DP[i];
}
allans.clear();
for(int i = 1; i <= N; i++){
crr.push_back(i);
vis[i] = 1;
bt(1);
vis[i] = 0;
crr.pop_back();
}
cout << "SUS " << allans.size() << endl;
while(allans.size() > 2){
shuffle(P.begin(), P.end(), rng);
vector<vector<int>> nw;
int chksum = query(P);
for(auto vec: allans){
int csum = 0;
for(int i = 1; i < N; i++)csum += abs(vec[P[i]-1] - vec[P[i-1]-1]);
if(csum == chksum)nw.push_back(vec);
}
allans = nw;
}
answer(allans.back());
}
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