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 "books.h"
#ifdef NYAOWO
#include "grader.cpp"
#endif
#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
#define int LL
using namespace std;
using i32 = int32_t;
using LL = long long;
using pii = pair<int, int>;
const int MAXN = 1000;
const int INF = 1e18;
int nxtl[MAXN + 10][MAXN + 10];
int nxtr[MAXN + 10][MAXN + 10];
int ll[MAXN + 10];
int rr[MAXN + 10];
int dp[MAXN + 10][MAXN + 10];
int solve(int l, int r, int L, int R) {
if(l < L || r > R) return INF;
if(dp[l][r] != -1) return dp[l][r];
if(l == L && r == R) return dp[l][r] = 0;
if(nxtl[l][r] != l || nxtr[l][r] != r) {
return dp[l][r] = solve(nxtl[l][r], nxtr[l][r], L, R);
}
int cl = l - ll[l];
int cr = rr[r] - r;
dp[l][r] = min(
solve(ll[l], r, L, R) + cl * 2,
solve(l, rr[r], L, R) + cr * 2
);
return dp[l][r];
}
LL minimum_walk(vector<i32> p, i32 s) {
assert(s >= 0);
int n = sz(p);
int ans = 0;
vector<int> cid(n, -1);
vector<pii> range;
For(i, 0, n - 1) if(p[i] != i && cid[i] == -1) {
int cur = i;
int l = n + 1;
int r = -1;
do {
l = min(l, cur);
r = max(r, cur);
ans += abs(p[cur] - cur);
cur = p[cur];
cid[cur] = sz(range);
} while(cur != i);
range.eb(l, r);
}
if(sz(range) == 0) return 0;
ll[0] = -1e10;
For(i, 1, n - 1) {
if(cid[i - 1] >= 0) ll[i] = i - 1;
else ll[i] = ll[i - 1];
}
rr[n - 1] = 1e10;
Forr(i, n - 2, 0) {
if(cid[i + 1] >= 0) rr[i] = i + 1;
else rr[i] = rr[i + 1];
}
For(i, 0, n - 1) {
if(cid[i] >= 0) {
nxtl[i][i] = range[cid[i]].F;
nxtr[i][i] = range[cid[i]].S;
} else {
nxtl[i][i] = i;
nxtr[i][i] = i;
}
}
Forr(i, n - 1, 0) For(j, i + 1, n - 1) {
nxtl[i][j] = min(nxtl[i][j - 1], nxtl[i + 1][j]);
nxtr[i][j] = max(nxtr[i][j - 1], nxtr[i + 1][j]);
}
int L = 0, R = n - 1;
while(cid[L] == -1) L++;
while(cid[R] == -1) R--;
L = min(L, (int)s);
R = max(R, (int)s);
cerr << L << " " << R << "\n";
memset(dp, -1, sizeof(dp));
return ans + solve(s, s, L, R);
}
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