This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Author: Nguyen Tan Bao
Status:
Idea:
*/
#include <bits/stdc++.h>
#define FI first
#define SE second
#define EPS 1e-9
#define ALL(a) a.begin(),a.end()
#define SZ(a) int((a).size())
#define MS(s, n) memset(s, n, sizeof(s))
#define FOR(i,a,b) for (int i = (a); i <= (b); i++)
#define FORE(i,a,b) for (int i = (a); i >= (b); i--)
#define FORALL(it, a) for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++)
//__builtin_ffs(x) return 1 + index of least significant 1-bit of x
//__builtin_clz(x) return number of leading zeros of x
//__builtin_ctz(x) return number of trailing zeros of x
using namespace std;
using ll = long long;
using ld = double;
typedef pair<int, int> II;
typedef pair<II, int> III;
typedef complex<ld> cd;
typedef vector<cd> vcd;
const ll MODBASE = 1000000007LL;
const int MAXN = 510;
const int MAXM = 110;
const int MAXK = 16;
const int MAXQ = 200010;
int N, M;
vector<II> a[MAXN];
ll d[MAXN][MAXM];
ll sameLine(int x) {
return 2 + x;
}
ll check(int x, int y) {
if (x == 0) return sameLine(y);
if (y == 0) return sameLine(x);
return x + y + 4;
}
ll dist(int x, int y, int u, int v, int m) {
x -= u;
y -= v;
x = abs(x); y = abs(y);
if (m == 1) return x + y;
ll res = 2 * (x / (m+1) + y / (m+1));
x %= m+1; y %= m+1;
if (x == 0 && y == 0) return res;
return res + min(min(check(x, y), check(m+1-x, y)), min(check(x, m+1-y), check(m+1-x, m+1-y)));
}
int main() {
ios::sync_with_stdio(0);
cin.tie(nullptr);
int x, y;
cin >> N >> M;
cin >> x >> y;
a[0].push_back(II(x, y));
cin >> x >> y;
a[N].push_back(II(x, y));
FOR(i,1,N-1) {
int k;
cin >> k;
while (k--) {
cin >> x >> y;
a[i].push_back(II(x, y));
}
}
FOR(i,0,505) FOR(j,0,100) d[i][j] = 1e18;
d[0][0] = 0;
FOR(i,1,N)
FOR(j,0,SZ(a[i-1])-1)
FOR(k,0,SZ(a[i])-1) d[i][k] = min(d[i][k], d[i-1][j] + dist(a[i-1][j].FI, a[i-1][j].SE, a[i][k].FI, a[i][k].SE, M));
cout << d[N][0];
return 0;
}
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