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Cod sursa(job #173581)
#include <cstdio>
#include <vector>
#include <utility>
#include <algorithm>
using namespace std;
const int MAXN = 256;
const int INF = 2000000000;
int N;
vector<pair<int, int> > P;
int cache[2][MAXN][MAXN];
int fun(int d, int l, int r) {
if (l > r) return 0;
if (l == r) {
return P[l].second;
}
if (cache[d][l][r] > -1) return cache[d][l][r];
int &sol = cache[d][l][r];
sol = INF;
for (int i = l; i <= r; ++i) {
int tmp;
if (d == 0) {
tmp = P[i].first - P[l].first + 2 * P[i].second;
} else {
tmp = P[r].first - P[i].first + 2 * P[i].second;
}
int left = fun(1, l, i - 1);
if (i > l) left += P[i].first - P[i - 1].first;
int right = fun(0, i + 1, r);
if (i < r) right += P[i + 1].first - P[i].first;
left += tmp;
right += tmp;
if (sol > max(left, right)) {
sol = max(left, right);
}
}
// printf("%d %d %d = %d\n", d, l, r, sol);
return sol;
}
int main() {
int x, y;
freopen("wanted.in", "rt", stdin);
freopen("wanted.out", "wt", stdout);
scanf("%d", &N);
P.reserve(N);
for (int i = 0; i < N; ++i) {
scanf("%d %d", &x, &y);
P.push_back(make_pair(x, y));
}
sort(P.begin(), P.end());
int sol = INF;
for (int d = 0; d < 2; ++d)
for (int i = 0; i < N; ++i)
for (int j = 0; j < N; ++j)
cache[d][i][j] = -10;
for (int i = 0; i < N; ++i) {
int tmp = abs(P[i].first) + 2 * P[i].second;
int left = fun(1, 0, i - 1);
if (i > 0) left += P[i].first - P[i - 1].first;
int right = fun(0, i + 1, N - 1);
if (i < N - 1) right += P[i + 1].first - P[i].first;
left += tmp;
right += tmp;
if (sol > max(left, right)) {
// printf("%d %d %d %d\n", i, tmp, left, right);
sol = max(left, right);
}
}
printf("%d\n", sol);
return 0;
}