Submission #918848

# Submission time Handle Problem Language Result Execution time Memory
918848 2024-01-30T14:26:23 Z 42kangaroo Two Currencies (JOI23_currencies) C++17
100 / 100
2992 ms 160948 KB
//
// Created by 42kangaroo on 26/01/2024.
//
#include "bits/stdc++.h"

using namespace std;

#define int long long

using g_t = vector<vector<int>>;

struct SegAb {
	int st, en, se;
};

struct Node {
	int l, r, bl, br, numL, sumL;
};

struct PSegTe {
	vector<Node> a;
	vector<int> cooC;
	int high;

	int build(int l, int r) {
		int act = a.size();
		a.push_back({-1, -1, l, r, 0, 0});
		if (l + 1 < r) {
			int m = (l + r) / 2;
			a[act].l = build(l, m);
			a[act].r = build(m, r);
		}
		return act;
	}

	pair<int, int> get(int st, int k) {
		if (a[st].br <= k) return {a[st].numL, a[st].sumL};
		if (a[st].bl >= k) return {0, 0};
		pair<int, int> res = {0, 0};
		if (a[st].l != -1) {
			auto re = get(a[st].l, k);
			res.first += re.first;
			res.second += re.second;
			re = get(a[st].r, k);
			res.first += re.first;
			res.second += re.second;
		}
		return res;
	}

	int add(int st, int k, int v) {
		if (a[st].bl > k || a[st].br <= k) return st;
		int nN = a.size();
		a.push_back({-1, -1, a[st].bl, a[st].br, 0, 0});
		if (a[st].l != -1) {
			a[nN].l = add(a[st].l, k, v);
			a[nN].r = add(a[st].r, k, v);
			a[nN].numL = a[a[nN].l].numL + a[a[nN].r].numL;
			a[nN].sumL = a[a[nN].l].sumL + a[a[nN].r].sumL;
		} else {
			a[nN].numL = a[st].numL + 1;
			a[nN].sumL = a[st].sumL + v;
		}
		return nN;
	}
};

int dfs(int n, int p, int d, g_t &g, vector<int> &pa, vector<int> &de) {
	de[n] = d;
	int su = 1;
	int ma = 0;
	pa[n] = p;
	for (auto &e: g[n]) {
		if (e == p) continue;
		int re = dfs(e, n, d + 1, g, pa, de);
		su += re;
		if (re > ma) {
			swap(e, g[n][0]);
			ma = re;
		}
	}
	return su;
}

void segDfs(int n, int p, int seg, g_t &g, vector<PSegTe> &segs, vector<int> &segThis, g_t &cos) {
	segThis[n] = seg;
	if (seg == -1) {
		segThis[n] = segs.size();
		segs.push_back({{}, {}, n});
	}
	for (auto e: cos[n]) {
		segs[segThis[n]].cooC.push_back(e);
	}
	bool first = true;
	for (auto e: g[n]) {
		if (e == p) continue;
		if (first) {
			segDfs(e, n, segThis[n], g, segs, segThis, cos);
			first = false;
		} else {
			segDfs(e, n, -1, g, segs, segThis, cos);
		}
	}
}

void initSegDfs(int n, int p, int st, g_t &g, vector<PSegTe> &segs,
                vector<int> &segThis, vector<int> &topSeg, g_t &cos) {
	topSeg[n] = st;
	for (auto e: cos[n]) {
		topSeg[n] = segs[segThis[n]].add(topSeg[n], std::lower_bound(segs[segThis[n]].cooC.begin(),
		                                                           segs[segThis[n]].cooC.end(), e) -
		                                          segs[segThis[n]].cooC.begin(), e);
	}
	bool first = true;
	for (auto e: g[n]) {
		if (e == p) continue;
		if (first) {
			initSegDfs(e, n, topSeg[n], g, segs, segThis, topSeg, cos);
			first = false;
		} else {
			initSegDfs(e, n, 0, g, segs, segThis, topSeg, cos);
		}
	}
}

signed main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	int n, m, q;
	cin >> n >> m >> q;
	vector<pair<int, int>> edge(n - 1);
	g_t g(n);
	for (int i = 0; i < n - 1; ++i) {
		int a, b;
		cin >> a >> b;
		--a; --b;
		g[a].push_back(b);
		g[b].push_back(a);
		edge[i] = {a, b};
	}
	vector<int> p(n);
	vector<int> d(n);
	dfs(0, 0, 0, g, p, d);
	for (int i = 0; i < n - 1; ++i) {
		if (p[edge[i].first] != edge[i].second) swap(edge[i].first, edge[i].second);
	}
	g_t cos(n);
	int cs = -1;
	for (int i = 0; i < m; ++i) {
		int pj, c;
		cin >> pj >> c;
		cs = c;
		pj--;
		cos[edge[pj].first].push_back(c);
	}
	vector<PSegTe> segs;
	vector<int> segThis(n);
	segDfs(0, 0, -1, g, segs, segThis, cos);
	for (auto &seg: segs) {
		std::sort(seg.cooC.begin(), seg.cooC.end());
		seg.cooC.erase(std::unique(seg.cooC.begin(), seg.cooC.end()), seg.cooC.end());
		seg.build(0, seg.cooC.size());
	}
	vector<int> topSeg(n);
	initSegDfs(0, 0, 0, g, segs, segThis, topSeg, cos);
	for (int i = 0; i < q; ++i) {
		int a, b, gol, sil;
		cin >> a >> b >> gol >> sil;
		--a;
		--b;
		vector<SegAb> abs;
		while (segThis[a] != segThis[b]) {
			if (d[segs[segThis[a]].high] < d[segs[segThis[b]].high]) swap(a, b);
			abs.push_back({a, -1, segThis[a]});
			a = p[segs[segThis[a]].high];
		}
		if (d[a] < d[b]) swap(a, b);
		if (a != b) {
			abs.push_back({a, b, segThis[a]});
		}
		int numChe = 0;
		for (auto &e: abs) {
			numChe += segs[e.se].a[topSeg[e.st]].numL;
			if (e.en != -1) {
				numChe -= segs[e.se].a[topSeg[e.en]].numL;
			}
		}
		int l = 0, r = 1e9 + 1;
		while (l + 1 < r) {
			m = (l + r) / 2;
			int su = 0;
			for (auto &e: abs) {
				int k = std::upper_bound(segs[e.se].cooC.begin(), segs[e.se].cooC.end(), m) - segs[e.se].cooC.begin();
				su += segs[e.se].get(topSeg[e.st], k).second;
				if (e.en != -1) {
					su -= segs[e.se].get(topSeg[e.en], k).second;
				}
			}
			if (su >= sil) r = m;
			else l = m;
		}
		int su = 0;
		int nuS = 0;
		for (auto &e: abs) {
			int k = std::upper_bound(segs[e.se].cooC.begin(), segs[e.se].cooC.end(), r) - segs[e.se].cooC.begin();
			auto res = segs[e.se].get(topSeg[e.st], k);
			su += res.second;
			nuS += res.first;
			if (e.en != -1) {
				res = segs[e.se].get(topSeg[e.en], k);
				su -= res.second;
				nuS -= res.first;
			}
		}
		int dif = su - sil;
		nuS -= (dif + r - 1)/r;
		numChe -= nuS;
		numChe = max(0ll, numChe);
		if (gol - numChe < -1) numChe = gol + 1;
		cout << gol - numChe << "\n";
	}
}

Compilation message

currencies.cpp: In function 'int main()':
currencies.cpp:148:6: warning: variable 'cs' set but not used [-Wunused-but-set-variable]
  148 |  int cs = -1;
      |      ^~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 6 ms 1368 KB Output is correct
6 Correct 8 ms 1372 KB Output is correct
7 Correct 7 ms 1112 KB Output is correct
8 Correct 9 ms 1372 KB Output is correct
9 Correct 9 ms 1368 KB Output is correct
10 Correct 9 ms 1368 KB Output is correct
11 Correct 10 ms 1372 KB Output is correct
12 Correct 9 ms 1576 KB Output is correct
13 Correct 14 ms 2772 KB Output is correct
14 Correct 15 ms 3032 KB Output is correct
15 Correct 16 ms 2320 KB Output is correct
16 Correct 15 ms 2196 KB Output is correct
17 Correct 16 ms 2192 KB Output is correct
18 Correct 16 ms 2452 KB Output is correct
19 Correct 4 ms 1368 KB Output is correct
20 Correct 4 ms 1780 KB Output is correct
21 Correct 4 ms 1368 KB Output is correct
22 Correct 4 ms 1372 KB Output is correct
23 Correct 13 ms 1940 KB Output is correct
24 Correct 11 ms 1940 KB Output is correct
25 Correct 12 ms 1940 KB Output is correct
26 Correct 7 ms 1368 KB Output is correct
27 Correct 7 ms 1368 KB Output is correct
28 Correct 8 ms 1368 KB Output is correct
29 Correct 4 ms 1368 KB Output is correct
30 Correct 5 ms 1112 KB Output is correct
31 Correct 5 ms 1112 KB Output is correct
32 Correct 5 ms 1116 KB Output is correct
33 Correct 14 ms 2780 KB Output is correct
34 Correct 14 ms 2780 KB Output is correct
35 Correct 13 ms 2784 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 5 ms 1116 KB Output is correct
3 Correct 5 ms 1112 KB Output is correct
4 Correct 5 ms 1116 KB Output is correct
5 Correct 262 ms 33600 KB Output is correct
6 Correct 287 ms 26644 KB Output is correct
7 Correct 283 ms 28068 KB Output is correct
8 Correct 228 ms 28916 KB Output is correct
9 Correct 221 ms 29180 KB Output is correct
10 Correct 352 ms 35572 KB Output is correct
11 Correct 335 ms 35116 KB Output is correct
12 Correct 331 ms 35820 KB Output is correct
13 Correct 366 ms 35352 KB Output is correct
14 Correct 336 ms 35588 KB Output is correct
15 Correct 183 ms 45428 KB Output is correct
16 Correct 186 ms 46772 KB Output is correct
17 Correct 188 ms 45492 KB Output is correct
18 Correct 227 ms 28792 KB Output is correct
19 Correct 240 ms 28492 KB Output is correct
20 Correct 227 ms 28752 KB Output is correct
21 Correct 212 ms 42804 KB Output is correct
22 Correct 207 ms 41640 KB Output is correct
23 Correct 228 ms 41780 KB Output is correct
24 Correct 212 ms 41380 KB Output is correct
25 Correct 321 ms 36596 KB Output is correct
26 Correct 351 ms 36012 KB Output is correct
27 Correct 346 ms 36728 KB Output is correct
28 Correct 279 ms 35024 KB Output is correct
29 Correct 271 ms 35240 KB Output is correct
30 Correct 316 ms 35852 KB Output is correct
31 Correct 301 ms 35412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 13 ms 3036 KB Output is correct
3 Correct 13 ms 2780 KB Output is correct
4 Correct 13 ms 2780 KB Output is correct
5 Correct 1311 ms 134420 KB Output is correct
6 Correct 1153 ms 82540 KB Output is correct
7 Correct 1996 ms 121680 KB Output is correct
8 Correct 2715 ms 137628 KB Output is correct
9 Correct 2690 ms 137252 KB Output is correct
10 Correct 2675 ms 136348 KB Output is correct
11 Correct 2136 ms 136852 KB Output is correct
12 Correct 2122 ms 136736 KB Output is correct
13 Correct 2079 ms 135968 KB Output is correct
14 Correct 1332 ms 137760 KB Output is correct
15 Correct 1309 ms 136348 KB Output is correct
16 Correct 1594 ms 137880 KB Output is correct
17 Correct 1554 ms 137628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 6 ms 1368 KB Output is correct
6 Correct 8 ms 1372 KB Output is correct
7 Correct 7 ms 1112 KB Output is correct
8 Correct 9 ms 1372 KB Output is correct
9 Correct 9 ms 1368 KB Output is correct
10 Correct 9 ms 1368 KB Output is correct
11 Correct 10 ms 1372 KB Output is correct
12 Correct 9 ms 1576 KB Output is correct
13 Correct 14 ms 2772 KB Output is correct
14 Correct 15 ms 3032 KB Output is correct
15 Correct 16 ms 2320 KB Output is correct
16 Correct 15 ms 2196 KB Output is correct
17 Correct 16 ms 2192 KB Output is correct
18 Correct 16 ms 2452 KB Output is correct
19 Correct 4 ms 1368 KB Output is correct
20 Correct 4 ms 1780 KB Output is correct
21 Correct 4 ms 1368 KB Output is correct
22 Correct 4 ms 1372 KB Output is correct
23 Correct 13 ms 1940 KB Output is correct
24 Correct 11 ms 1940 KB Output is correct
25 Correct 12 ms 1940 KB Output is correct
26 Correct 7 ms 1368 KB Output is correct
27 Correct 7 ms 1368 KB Output is correct
28 Correct 8 ms 1368 KB Output is correct
29 Correct 4 ms 1368 KB Output is correct
30 Correct 5 ms 1112 KB Output is correct
31 Correct 5 ms 1112 KB Output is correct
32 Correct 5 ms 1116 KB Output is correct
33 Correct 14 ms 2780 KB Output is correct
34 Correct 14 ms 2780 KB Output is correct
35 Correct 13 ms 2784 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 5 ms 1116 KB Output is correct
38 Correct 5 ms 1112 KB Output is correct
39 Correct 5 ms 1116 KB Output is correct
40 Correct 262 ms 33600 KB Output is correct
41 Correct 287 ms 26644 KB Output is correct
42 Correct 283 ms 28068 KB Output is correct
43 Correct 228 ms 28916 KB Output is correct
44 Correct 221 ms 29180 KB Output is correct
45 Correct 352 ms 35572 KB Output is correct
46 Correct 335 ms 35116 KB Output is correct
47 Correct 331 ms 35820 KB Output is correct
48 Correct 366 ms 35352 KB Output is correct
49 Correct 336 ms 35588 KB Output is correct
50 Correct 183 ms 45428 KB Output is correct
51 Correct 186 ms 46772 KB Output is correct
52 Correct 188 ms 45492 KB Output is correct
53 Correct 227 ms 28792 KB Output is correct
54 Correct 240 ms 28492 KB Output is correct
55 Correct 227 ms 28752 KB Output is correct
56 Correct 212 ms 42804 KB Output is correct
57 Correct 207 ms 41640 KB Output is correct
58 Correct 228 ms 41780 KB Output is correct
59 Correct 212 ms 41380 KB Output is correct
60 Correct 321 ms 36596 KB Output is correct
61 Correct 351 ms 36012 KB Output is correct
62 Correct 346 ms 36728 KB Output is correct
63 Correct 279 ms 35024 KB Output is correct
64 Correct 271 ms 35240 KB Output is correct
65 Correct 316 ms 35852 KB Output is correct
66 Correct 301 ms 35412 KB Output is correct
67 Correct 0 ms 344 KB Output is correct
68 Correct 13 ms 3036 KB Output is correct
69 Correct 13 ms 2780 KB Output is correct
70 Correct 13 ms 2780 KB Output is correct
71 Correct 1311 ms 134420 KB Output is correct
72 Correct 1153 ms 82540 KB Output is correct
73 Correct 1996 ms 121680 KB Output is correct
74 Correct 2715 ms 137628 KB Output is correct
75 Correct 2690 ms 137252 KB Output is correct
76 Correct 2675 ms 136348 KB Output is correct
77 Correct 2136 ms 136852 KB Output is correct
78 Correct 2122 ms 136736 KB Output is correct
79 Correct 2079 ms 135968 KB Output is correct
80 Correct 1332 ms 137760 KB Output is correct
81 Correct 1309 ms 136348 KB Output is correct
82 Correct 1594 ms 137880 KB Output is correct
83 Correct 1554 ms 137628 KB Output is correct
84 Correct 538 ms 51672 KB Output is correct
85 Correct 625 ms 46876 KB Output is correct
86 Correct 528 ms 33804 KB Output is correct
87 Correct 830 ms 56564 KB Output is correct
88 Correct 885 ms 56676 KB Output is correct
89 Correct 883 ms 57080 KB Output is correct
90 Correct 858 ms 56332 KB Output is correct
91 Correct 870 ms 57116 KB Output is correct
92 Correct 2992 ms 160948 KB Output is correct
93 Correct 2923 ms 153612 KB Output is correct
94 Correct 2413 ms 84160 KB Output is correct
95 Correct 2425 ms 84676 KB Output is correct
96 Correct 2397 ms 83892 KB Output is correct
97 Correct 2521 ms 83364 KB Output is correct
98 Correct 264 ms 53160 KB Output is correct
99 Correct 248 ms 51248 KB Output is correct
100 Correct 257 ms 52376 KB Output is correct
101 Correct 255 ms 53048 KB Output is correct
102 Correct 1022 ms 83360 KB Output is correct
103 Correct 1220 ms 83800 KB Output is correct
104 Correct 1189 ms 84712 KB Output is correct
105 Correct 590 ms 56576 KB Output is correct
106 Correct 555 ms 56284 KB Output is correct
107 Correct 545 ms 56320 KB Output is correct
108 Correct 638 ms 56320 KB Output is correct