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 <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast,inline") // Ofast = O3,fast-math,allow-store-data-races,no-protect-parens
#pragma GCC optimize("unroll-loops")
#pragma GCC target("bmi,bmi2,lzcnt,popcnt") // bit manipulation
#pragma GCC target("movbe") // byte swap
#pragma GCC target("aes,pclmul,rdrnd") // encryption
#pragma GCC target("avx,avx2,f16c,fma,sse3,ssse3,sse4.1,sse4.2")
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define rep(i, a, b) for (int i = (a); i < int(b); i++) // in , ex
#define rrep(i, a, b) for (int i = (a)-1; i >= int(b); i--) // ex, in
#define pb push_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
inline void fast()
{
ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
const ll INF = 100000000000000000; // 1e17
const ll MOD = 1e9 + 7;
//
random_device rd;
mt19937 rng(rd());
template <typename T>
inline T randint(T lo, T hi) { return uniform_int_distribution<T>(lo, hi)(rng); }
#define int ll
#define float double
//
int N, M, K;
vector<string> ns;
vector<bool> na, checked;
vector<pii> score;
vector<array<int, 4>> sum; // A, C, G, T
int32_t main()
{
fast();
cin >> N >> M >> K;
ns.assign(N, "");
rep(i, 0, N) cin >> ns[i];
//
sum.assign(M, {0, 0, 0, 0});
rep(i, 0, N)
{
rep(j, 0, M)
{
if (ns[i][j] == 'A')
sum[j][0]++;
else if (ns[i][j] == 'C')
sum[j][1]++;
else if (ns[i][j] == 'G')
sum[j][2]++;
else
sum[j][3]++;
}
}
na.assign(N, true);
rep(i, 0, N)
{
ll cnt = 0;
rep(j, 0, M)
{
if (ns[i][j] == 'A')
cnt += (N - sum[j][0]);
else if (ns[i][j] == 'C')
cnt += (N - sum[j][1]);
else if (ns[i][j] == 'G')
cnt += (N - sum[j][2]);
else
cnt += (N - sum[j][3]);
}
if (cnt % (N - 1) == 0)
{
cnt /= (N - 1);
if (cnt != K)
na[i] = false;
}
else
na[i] = false;
}
//
score.assign(N, {0, -1});
rep(i, 0, N) score[i].second = i;
if (N > 500 && M > 500)
{
checked.assign(M, false);
int tmp = 0;
while (tmp < 30)
{
int che = randint(int(0), int(M - 1));
if (checked[che])
continue;
checked[che] = true;
char cha;
if (K < M / 2)
{
int m = 0;
m = max(m, sum[che][0]);
m = max(m, sum[che][1]);
m = max(m, sum[che][2]);
m = max(m, sum[che][3]);
if (m == sum[che][0])
cha = 'A';
else if (m == sum[che][1])
cha = 'C';
else if (m == sum[che][2])
cha = 'G';
else
cha = 'T';
}
else
{
int m = 0;
m = min(m, sum[che][0]);
m = min(m, sum[che][1]);
m = min(m, sum[che][2]);
m = min(m, sum[che][3]);
if (m == sum[che][0])
cha = 'A';
else if (m == sum[che][1])
cha = 'C';
else if (m == sum[che][2])
cha = 'G';
else
cha = 'T';
}
rep(i, 0, N)
{
if (ns[i][che] == cha)
score[i].first += 1;
}
}
}
sort(rall(score));
//
rep(_, 0, N)
{
int i = score[_].second;
if (!na[i])
continue;
rep(j, 0, N)
{
if (j == i)
continue;
int cnt = 0;
rep(k, 0, M)
{
if (ns[i][k] != ns[j][k])
cnt++;
}
if (cnt != K)
{
na[i] = false;
na[j] = false;
break;
}
}
if (na[i])
{
cout << i + 1 << "\n";
return 0;
}
}
}
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