This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <memory.h>
#include <math.h>
#include <assert.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <deque>
#include <utility>
#include <bitset>
#include <limits.h>
#include <time.h>
#include <functional>
#include <numeric>
using namespace std;
typedef long long ll;
typedef unsigned long long llu;
typedef double lf;
typedef unsigned int uint;
typedef long double llf;
typedef pair<int, int> pii;
const int K_ = 505;
int K, M;
int sx, sy, ex, ey;
vector< tuple<int, int> > holes[K_];
ll tb[K_][105];
ll dist (ll dx, ll dy) {
if(dx < 0) dx = -dx;
if(dy < 0) dy = -dy;
// 세로로 세운 (0,0)에서 세로로 세운 (dx, dy)까지 몇 번을 굴려야 하는가?
// 한칸짜리 : 자명
if(M == 1) return dx + dy;
// 그외: 어쩌지?
ll ret = (ll)1e14;
ll big_x = dx / (M + 1), big_y = dy / (M + 1);
for(int px = 0; px <= 1; px++) {
for(int py = 0; py <= 1; py++) {
big_x += px; big_y += py;
ll tmp = (2 * big_x) + (2 * big_y);
ll small_x = dx - big_x * (M + 1);
if(small_x < 0) small_x = -small_x;
if(small_x > 0)
tmp += small_x + (big_y > 0 ? 0 : 2);
ll small_y = dy - big_y * (M + 1);
if(small_y < 0) small_y = -small_y;
if(small_y > 0)
tmp += small_y + (big_x > 0 ? 0 : 2);
if(tmp < ret) ret = tmp;
big_x -= px; big_y -= py;
}
}
return ret;
}
int main() {
scanf("%d%d", &K, &M);
{
scanf("%d%d%d%d", &sx, &sy, &ex, &ey);
holes[K-1].push_back( tie(ex, ey) );
}
for(int i = 0; i+1 < K; i++) {
int h; scanf("%d", &h);
while(h--) {
int x, y; scanf("%d%d", &x, &y);
holes[i].push_back( tie(x, y) );
}
}
{ // init
for(int i = 0; i < holes[0].size(); i++) {
int xi, yi; tie(xi, yi) = holes[0][i];
tb[0][i] = dist(xi - sx, yi - sy);
}
for(int f = 1; f < K; f++) {
for(int i = 0; i < holes[f].size(); i++) tb[f][i] = (ll)1e13;
}
}
for(int f = 0; f+1 < K; f++) {
for(int i = 0; i < holes[f].size(); i++) {
int xi, yi; tie(xi, yi) = holes[f][i];
for(int j = 0; j < holes[f+1].size(); j++) {
int xj, yj; tie(xj, yj) = holes[f+1][j];
tb[f+1][j] = min(tb[f+1][j], tb[f][i] + dist(xi - xj, yi - yj));
}
}
}
printf("%lld\n", tb[K-1][0]);
return 0;
}
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