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 "sorting.h"
#include <cstring>
#include <vector>
#include <utility>
#include <cassert>
#include <cstdio>
#define fi first
#define se second
using namespace std;
typedef pair<int, int> pii;
int N, M, s[2000005], x[2000005], y[2000005], state[2000005], seen[2000005], pos[2000005];
int check(int steps) {
for (int i = 0; i < N; i++) state[i] = s[i];
for (int i = 0; i < steps; i++) {
if (x[i] != y[i]) {
swap(state[x[i]], state[y[i]]);
}
}
int cycles = 0;
for (int i = 0; i < N; i++) {
if (!seen[i]) {
seen[i] = 1;
cycles++;
int cur = state[i];
while (cur != i) {
seen[cur] = 1;
cur = state[cur];
}
}
}
int swaps = N - cycles;
memset(seen, 0, sizeof(seen));
return swaps <= steps;
}
int findSwapPairs(int n, int S[], int m, int X[], int Y[], int P[], int Q[]) {
N = n;
M = m;
for (int i = 0; i < N; i++) s[i] = S[i];
for (int i = 0; i < M; i++) {
x[i] = X[i];
y[i] = Y[i];
}
int lo = -1, hi = M;
while (lo + 1 < hi) {
int mid = (lo + hi) / 2;
if (check(mid)) hi = mid;
else lo = mid;
}
// Takes hi number of swaps
for (int i = 0; i < N; i++) state[i] = s[i];
for (int i = 0; i < hi; i++) {
if (x[i] != y[i]) {
swap(state[x[i]], state[y[i]]);
}
}
int R = 0;
for (int i = 0; i < N; i++) {
if (!seen[i]) {
seen[i] = 1;
if (state[i] != i) {
int cur = state[i];
while (cur != i) {
// Swap cur with state[cur]
seen[cur] = 1;
cur = state[cur];
assert(R < M);
P[R] = cur;
Q[R] = state[cur];
R++;
}
}
}
}
for (int i = 0; i < N; i++) pos[s[i]] = i, state[i] = s[i];
assert(R <= hi && hi <= M);
for (int i = 0; i < R; i++) {
swap(pos[state[x[i]]], pos[state[y[i]]]);
swap(state[x[i]], state[y[i]]);
swap(pos[P[i]], pos[Q[i]]);
P[i] = pos[P[i]];
Q[i] = pos[Q[i]];
swap(state[P[i]], state[Q[i]]);
}
for (int i = R; i < hi; i++) P[i] = Q[i] = 0;
return hi;
}
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