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Cod sursa(job #253358)
#include<stdio.h>
#include<algorithm>
using namespace std;
#define lg 100005
#define inf 0x3f3f3f3f
int n, i, ind, poz;
long long cnt[lg], d[lg], val;
struct ches{
int x, s, d, c;
};
ches v[lg], w[lg];
inline int cmp(ches a, ches b){
return a.x < b.x;
}
inline int cmp2(ches a, ches b){
if (a.s != b.s)
return a.s < b.s;
return a.d < b.d;
}
int caut(int val){
int li = 2, ls = n+1, x, gs = -1;
while (li <= ls){
x = (li+ls) / 2;
if (v[x].x >= val){
gs = x;
ls = x-1;
}
else
li = x+1;
}
return gs;
}
int caut2(int val){
int li = 2, ls = n+1, x, gs = -1;
while (li <= ls){
x = (li+ls) / 2;
if (v[x].x <= val){
gs = x;
li = x+1;
}
else
ls = x-1;
}
return gs;
}
void update(int poz, long long val){
while (poz <= n+1){
cnt[poz] = min(cnt[poz], val);
poz += (poz^(poz-1)) & poz;
}
}
int find(int poz){
long long gs = 20000000000LL;
while (poz > 0){
gs = min(gs, cnt[poz]);
poz -= (poz^(poz-1)) & poz;
}
return gs;
}
int main()
{
freopen("stalpi.in", "rt", stdin);
freopen("stalpi.out", "wt", stdout);
scanf("%d", &n);
for (i = 2; i <= n+1; i ++){
scanf("%d%d%d%d", &v[i].x, &v[i].c, &v[i].s, &v[i].d);
w[i].s = v[i].x-v[i].s, w[i].d = v[i].x+v[i].d, w[i].x = v[i].c;
}
sort(v+2, v+n+2, cmp);
sort(w+2, w+n+2, cmp2);
for (i = 1; i <= n; i ++)
cnt[i] = d[i] = 20000000000LL;
for (i = 2; i <= n+1; i ++){
poz = n+1 - caut(w[i].s)+2;
ind = n+1 - caut2(w[i].d)+1;
val = find(poz) + w[i].x;
if (val < d[ind]){
d[ind] = val;
update(ind, val);
}
}
printf("%lld\n", d[1]);
return 0;
}