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Submission #838311

# Submission time Handle Problem Language Result Execution time Memory
838311 2023-08-26T14:27:09 Z happypotato Distributing Candies (IOI21_candies) C++17
100 / 100
 345 ms 48316 KB 
#include "candies.h"
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int, int>
#define ff first
#define ss second
#define pb push_back

const int mxN = 2e5 + 1;
struct info {
	int net; // net change
	int mini, maxi;
	info(): net(0), mini(1e18), maxi(-1e18) {};
	info(int val): net(val), mini(val), maxi(val) {};
};
info merge(info &lhs, info &rhs) {
	info res;
	res.net = lhs.net + rhs.net;
	res.mini = min(lhs.mini, lhs.net + rhs.mini);
	res.maxi = max(lhs.maxi, lhs.net + rhs.maxi);
	return res;
}
info EMPTY = info();
info ZERO = info(0);
info seg[4 * mxN];
int lazy[4 * mxN];
int n, q;
void build(int l = 0, int r = q, int idx = 1) {
	if (l == r) {
		if (l == 0) seg[idx] = info(0);
		else seg[idx] = info();
		return;
	}
	int mid = (l + r) >> 1;
	build(l, mid, (idx << 1));
	build(mid + 1, r, (idx << 1) | 1);
	seg[idx] = merge(seg[(idx << 1)], seg[(idx << 1) | 1]);
}
void update(int pos, int val, int l = 0, int r = q, int idx = 1) {
	if (l == r) {
		if (val == 0) seg[idx] = info();
		else seg[idx] = info(val);
		return;
	}
	int mid = (l + r) >> 1;
	if (pos <= mid) update(pos, val, l, mid, (idx << 1));
	else update(pos, val, mid + 1, r, (idx << 1) | 1);
	seg[idx] = merge(seg[(idx << 1)], seg[(idx << 1) | 1]);
	// cerr << l << ' ' << r << ", " << idx << ": ";
	// cerr << seg[idx].net << ' ' << seg[idx].mini << ' ' << seg[idx].maxi << endl;
}
// range find net min/max
pii query1(int tl, int tr, int l = 0, int r = q, int idx = 1, int buff = 0) {
	if (tl > tr) return {0, 0};
	if (tl <= l && r <= tr) return {buff + seg[idx].mini, buff + seg[idx].maxi};
	int mid = (l + r) >> 1;
	pii res = {1e18, -1e18}, ret;
	if (tl <= mid) {
		ret = query1(tl, tr, l, mid, (idx << 1), buff);
		res.ff = min(res.ff, ret.ff); res.ss = max(res.ss, ret.ss);
	}
	if (tr > mid) {
		ret = query1(tl, tr, mid + 1, r, (idx << 1) | 1, buff + seg[(idx << 1)].net);
		res.ff = min(res.ff, ret.ff); res.ss = max(res.ss, ret.ss);
	}
	return res;
}
// find largest pos s.t. max(upd[pos..n]) - min(upd[pos..n]) > (tar = c[i])
int query2(int tar, pii range, int l = 0, int r = q, int idx = 1, int buff = 0) {
	// cerr << l << ' ' << r << ", " << idx << ": ";
	// cerr << seg[idx].net << ' ' << seg[idx].mini << ' ' << seg[idx].maxi << " | ";
	// cerr << range.ff << ' ' << range.ss << ' ' << buff << endl;
	if (max(range.ss, buff + seg[idx].maxi) - min(range.ff, buff + seg[idx].mini) <= tar) {
		return -1;
	}
	if (l == r) return l;
	int mid = (l + r) >> 1;
	int rmini = buff + seg[(idx << 1)].net + seg[(idx << 1) | 1].mini;
	int rmaxi = buff + seg[(idx << 1)].net + seg[(idx << 1) | 1].maxi;
	if (max(range.ss, rmaxi) - min(range.ff, rmini) <= tar) {
		range.ss = max(range.ss, rmaxi);
		range.ff = min(range.ff, rmini);
		return query2(tar, range, l, mid, (idx << 1), buff);
	} else {
		return query2(tar, range, mid + 1, r, (idx << 1) | 1, buff + seg[(idx << 1)].net);
	}
	return -1;
}

vector<int32_t> distribute_candies(vector<int32_t> c, vector<int32_t> l,
                                   vector<int32_t> r, vector<int32_t> v) {
	
	n = c.size(); q = v.size();
	build();
	vector<pii> upd[n + 2];
	for (int i = 0; i < q; i++) {
		l[i]++; r[i]++;
		upd[l[i]].pb({i + 1, v[i]});
		upd[r[i] + 1].pb({i + 1, 0});
	}

	vector<int32_t> ans;
	for (int i = 1; i <= n; i++) {
		for (pii &cur : upd[i]) {
			update(cur.ff, cur.ss);
		}
		int tot = seg[1].net;
		int crit = query2(c[i - 1], {tot, tot});
		pii range;
		if (crit == -1) {
			range = query1(0, q);
			// cerr << range.ff << ' ' << range.ss << endl;
			ans.pb(tot - range.ff);
			continue;
		}
		int prev = query1(crit, crit).ff;
		range = query1(crit + 1, q);
		// cerr << i << ": " << tot << ' ' << crit << ' ' << prev << " | ";
		// cerr << range.ff << ' ' << range.ss << endl;
		if (prev < range.ff) {
			range.ff = range.ss - c[i - 1];
			ans.pb(tot - range.ff);
		} else {
			range.ss = range.ff + c[i - 1];
			ans.pb(c[i - 1] - (range.ss - tot));
		}
	}
	return ans;
}

#undef int

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 9 ms 19284 KB Output is correct
4 Correct 9 ms 19284 KB Output is correct
5 Correct 10 ms 19284 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 321 ms 41764 KB Output is correct
2 Correct 312 ms 45716 KB Output is correct
3 Correct 313 ms 45556 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 19028 KB Output is correct
2 Correct 176 ms 35716 KB Output is correct
3 Correct 78 ms 29664 KB Output is correct
4 Correct 345 ms 47620 KB Output is correct
5 Correct 345 ms 47892 KB Output is correct
6 Correct 322 ms 48316 KB Output is correct
7 Correct 308 ms 47672 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 87 ms 32860 KB Output is correct
4 Correct 67 ms 27736 KB Output is correct
5 Correct 162 ms 41628 KB Output is correct
6 Correct 166 ms 42260 KB Output is correct
7 Correct 171 ms 42920 KB Output is correct
8 Correct 158 ms 41508 KB Output is correct
9 Correct 165 ms 42956 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 9 ms 19284 KB Output is correct
4 Correct 9 ms 19284 KB Output is correct
5 Correct 10 ms 19284 KB Output is correct
6 Correct 321 ms 41764 KB Output is correct
7 Correct 312 ms 45716 KB Output is correct
8 Correct 313 ms 45556 KB Output is correct
9 Correct 8 ms 19028 KB Output is correct
10 Correct 176 ms 35716 KB Output is correct
11 Correct 78 ms 29664 KB Output is correct
12 Correct 345 ms 47620 KB Output is correct
13 Correct 345 ms 47892 KB Output is correct
14 Correct 322 ms 48316 KB Output is correct
15 Correct 308 ms 47672 KB Output is correct
16 Correct 8 ms 19028 KB Output is correct
17 Correct 8 ms 19028 KB Output is correct
18 Correct 87 ms 32860 KB Output is correct
19 Correct 67 ms 27736 KB Output is correct
20 Correct 162 ms 41628 KB Output is correct
21 Correct 166 ms 42260 KB Output is correct
22 Correct 171 ms 42920 KB Output is correct
23 Correct 158 ms 41508 KB Output is correct
24 Correct 165 ms 42956 KB Output is correct
25 Correct 8 ms 19028 KB Output is correct
26 Correct 63 ms 27888 KB Output is correct
27 Correct 171 ms 35276 KB Output is correct
28 Correct 333 ms 46140 KB Output is correct
29 Correct 324 ms 46504 KB Output is correct
30 Correct 342 ms 46784 KB Output is correct
31 Correct 345 ms 46904 KB Output is correct
32 Correct 343 ms 47172 KB Output is correct