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>
#define int long long
using namespace std;
string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
bool first = true;
string res = "[";
for (const auto &x : v) {
if (!first)
res += ", ";
first = false;
res += to_string(x);
}
res += "]";
return res;
}
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
cout << ' ' << to_string(H);
dbg_out(T...);
}
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
template <class T> class Fenwick {
public:
int lim;
vector<T> bit;
Fenwick(int n) : lim(n + 1), bit(lim) {}
void upd(int pos, T val) {
for (pos++; pos < lim; pos += pos & -pos)
bit[pos] += val;
}
T sum(int r) { // < r
T ret = 0;
for (; r; r -= r & -r)
ret += bit[r];
return ret;
}
T sum(int l, int r) { // [l, r)
return sum(r) - sum(l);
}
};
const int MAXN = 2e6;
int iDeb[MAXN], iFin[MAXN], lazyAdd[MAXN], maxDiff[MAXN], minVal[MAXN],
maxVal[MAXN];
void pull(int node) {
maxVal[node] = max(maxVal[2 * node], maxVal[2 * node + 1]);
minVal[node] = min(minVal[2 * node], minVal[2 * node + 1]);
maxDiff[node] = max({maxDiff[2 * node], maxDiff[2 * node + 1],
maxVal[2 * node + 1] - minVal[2 * node]});
}
void push(int node) {
if (!lazyAdd[node])
return;
int x = lazyAdd[node];
lazyAdd[node] = 0;
maxVal[node] += x;
minVal[node] += x;
if (iDeb[node] < iFin[node]) {
lazyAdd[2 * node] += x;
lazyAdd[2 * node + 1] += x;
}
}
void build(int node, int l, int r) {
iDeb[node] = l, iFin[node] = r;
maxVal[node] = -1e18;
minVal[node] = 1e18;
if (l == r)
return;
build(2 * node, l, (l + r) / 2);
build(2 * node + 1, (l + r) / 2 + 1, r);
}
void active(int node, int pos, int val) {
push(node);
if (iDeb[node] > pos or iFin[node] < pos)
return;
if (iDeb[node] == iFin[node]) {
minVal[node] = maxVal[node] = val;
return;
}
active(2 * node, pos, val);
active(2 * node + 1, pos, val);
pull(node);
}
void rangeAdd(int node, int l, int r, int x) {
push(node);
if (iDeb[node] > r or iFin[node] < l) {
return;
}
if (iDeb[node] >= l and iFin[node] <= r) {
lazyAdd[node] = x;
push(node);
return;
}
rangeAdd(2 * node, l, r, x);
rangeAdd(2 * node + 1, l, r, x);
pull(node);
}
signed main(void) {
ios_base::sync_with_stdio(false);
cin.tie(0);
int nbPersonnes, nbRequetes, D;
cin >> nbPersonnes >> nbRequetes >> D;
vector<pair<int, int>> positions(nbPersonnes + nbRequetes);
vector<int> toAdd;
for (int i = 0; i < nbPersonnes; ++i) {
int x;
cin >> x;
positions[i] = pair(x, i);
toAdd.push_back(x);
}
for (int i = 0; i < nbRequetes; ++i) {
int x;
cin >> x;
positions[i + nbPersonnes] = pair(x, nbPersonnes + i);
toAdd.push_back(x);
}
sort(positions.begin(), positions.end());
build(1, 0, nbPersonnes + nbRequetes - 1);
Fenwick<int> activated(nbPersonnes + nbRequetes);
for (int i = 0; i < nbPersonnes + nbRequetes; ++i) {
int pos =
lower_bound(positions.begin(), positions.end(), pair(toAdd[i], i)) -
positions.begin();
assert(positions[pos] == pair(toAdd[i], i));
int bef = activated.sum(pos);
activated.upd(pos, 1);
active(1, pos, D * bef - toAdd[i]);
rangeAdd(1, pos + 1, nbPersonnes + nbRequetes - 1, D);
if (i >= nbPersonnes)
cout << setprecision(10) << fixed << maxDiff[1] / 2. << ' ';
}
cout << endl;
}
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