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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
int n;
vector<pair<ll, ll>> G, W;
vl dp;
const int LOG = 25;
vvi up;
vvl sum;
vi visited;
ll getDP(int i) {
if (dp[i] != -1) return dp[i];
if (i == n) {
dp[i] = 0;
return 0;
}
dp[i] = W[i].first+getDP(G[i].first);
return dp[i];
}
pll dist(int x, int d) {
ll strength = 0;
for (int i = LOG-1; i >= 0; i--) {
if ((d>>i)&1) {
strength += sum[x][i];
x = up[x][i];
}
}
return {x, strength};
}
void init(int nx, vi s, vi p, vi w, vi l) {
n = nx;
G = vector<pll>(n);
W = vector<pll>(n);
for (int i = 0; i < n; i++) {
G[i] = {w[i], l[i]};
W[i] = {s[i], p[i]};
}
dp = vl(n+1, -1);
for (int i = 0; i <= n; i++) {
dp[i] = getDP(i);
}
up = vvi(n+1, vi(LOG));
sum = vvl(n+1, vl(LOG));
up[n][0] = n;
sum[n][0] = 0;
for (int i = 0; i < n; i++) {
up[i][0] = G[i].second;
sum[i][0] = W[i].second;
}
for (int i = 1; i < LOG; i++) {
for (int v = 0; v <= n; v++) {
sum[v][i] = sum[v][i-1] + sum[up[v][i-1]][i-1];
up[v][i] = up[up[v][i-1]][i-1];
}
}
}
ll simulate(int x, int z) {
if (z >= W[0].first) {
return z + dp[x];
}
int lo = 0, hi = 2e7+6, res = 2e7, mid;
while (lo <= hi) {
mid = (lo+hi)/2;
if (dist(x, mid).second+z >= W[0].first) {
res = mid;
hi = mid -1;
} else
lo = mid + 1;
}
return z + dist(x, res).second + dp[dist(x, res).first];
}
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