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Submission #212898

# Submission time Handle Problem Language Result Execution time Memory
212898 2020-03-24T13:03:27 Z sinatori Constellation 3 (JOI20_constellation3) C++14
100 / 100
 1066 ms 96100 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define all(V) V.begin(),V.end()

ll W[400010], A[200010], seg[524288], rt[524288], as[1048576], lc[1048576], par[400010], hlnum[400010], hlseg[400010], hltop[400010], hlpar[400010];
vector<pair<int, int>> H;
vector<int> T[400010];
tuple<int, int, int> R[400010];
//hlnumはhl分解後の「セグ木上での番号」、hlsegはhl分解後のセグ木のx番目の「頂点番号」、hltopはその頂点が属する鎖の一番根に近いやつの「頂点番号」、hlparは鎖の繋がっている親ノードの「頂点番号」

int wgh(int x) {
	int a = 1;
	for (int j : T[x])a += wgh(j);
	W[x] = a;
	return a;
}

void hld(int x, int me, int& num) {
	int mw = 0, ms = 0;
	hlnum[x] = num;
	hlseg[num] = x;
	hltop[x] = me;
	hlpar[x] = hlpar[me];
	if (T[x].size() == 0)return;
	for (int i : T[x]) {
		if (W[i] > mw)ms = i, mw = W[i];
	}
	num++;
	hld(ms, me, num);
	for (int i : T[x]) {
		if (i != ms) {
			hlpar[i] = x;
			num++;
			hld(i, i, num);
		}
	}
}

void raq_as(int s, int t, ll v, int k = 1, int l = 0, int r = 524287) {
	if (t < s)return;
	if (t < l || r < s)return;
	if (s <= l && r <= t) {
		as[k] += v;
		return;
	}
	raq_as(s, t, v, k * 2, l, (l + r) / 2);
	raq_as(s, t, v, k * 2 + 1, (l + r) / 2 + 1, r);
}

ll rsq_lc(int s, int t, int k = 1, int l = 0, int r = 524287) {
	if (t < s)return 0;
	if (t < l || r < s)return 0;
	if (s <= l && r <= t) {
		return lc[k];
	}
	ll lv = rsq_lc(s, t, k * 2, l, (l + r) / 2);
	ll rv = rsq_lc(s, t, k * 2 + 1, (l + r) / 2 + 1, r);
	return lv + rv;
}

void add_lc(int x, ll v) {
	x += 524288;
	while (x) {
		lc[x] += v;
		x /= 2;
	}
	return;
}

ll get_as(int x) {
	x += 524288;
	ll ans = 0;
	while (x) {
		ans += as[x];
		x /= 2;
	}
	return ans;
}

void solve2(int x, ll dif) {
	int tp = hlnum[x];
	int tpp = hlnum[hltop[x]];
	add_lc(tp, dif);//lcへの加算
	raq_as(tpp, tp, dif);//asの加算
	if (hlpar[x] == 0)return;
	solve2(hlpar[x], dif);
}

void solve(int x, int y, ll val, int exc) {
	int tp = hlnum[x];//セグ木上での番号
	int tpp = hlnum[hltop[x]];//鎖のtopのセグ木上での番号

	if (get<2>(R[hltop[x]]) < y) {
		val += rsq_lc(tpp, tp);//lcの和
		val -= get_as(exc);

		if (T[x].size()) {
			val += get_as(tp + 1);//asの点取得
		}
		solve(hlpar[x], y, val, tpp);
	}
	else {
		int ok = tpp, ng = tp + 1, mid;
		while (ok + 1 != ng) {
			mid = (ok + ng) / 2;
			if (get<2>(R[hlseg[mid]]) < y) {
				ng = mid;
			}
			else {
				ok = mid;
			}
		}

		val += rsq_lc(ok, tp);//lcの和
		val -= get_as(exc);
		if (T[x].size())
			val += get_as(tp + 1);
		ll alr = get_as(ok);
		if (alr < val) {
			raq_as(tpp, ok, val - alr);//asの加算
			if (hlpar[x] == 0)return;
			solve2(hlpar[x], val - alr);
		}
	}
}

int rmq(int s, int t, int k = 1, int l = 0, int r = 262143) {
	if (t < l || r < s)return INT32_MIN;
	if (s <= l && r <= t) {
		return seg[k];
	}
	int lv = rmq(s, t, k * 2, l, (l + r) / 2);
	int rv = rmq(s, t, k * 2 + 1, (l + r) / 2 + 1, r);
	return max(lv, rv);
}

void ruq(int s, int t, int v, int k = 1, int l = 0, int r = 262143) {
	if (t < l || r < s)return;
	if (s <= l && r <= t) {
		rt[k] = v;
		return;
	}
	if (rt[k]) {
		rt[k * 2] = rt[k];
		rt[k * 2 + 1] = rt[k];
		rt[k] = 0;
	}
	ruq(s, t, v, k * 2, l, (l + r) / 2);
	ruq(s, t, v, k * 2 + 1, (l + r) / 2 + 1, r);
}

int gets(int x) {
	x += 262144;
	int ans = 0;
	while (x) {
		if (rt[x])ans = rt[x];
		x /= 2;
	}
	return ans;
}

void make_skytree(int l, int r, int& num) {
	int m = rmq(l, r), me = num;
	pair<int, int> ser = { m,l };
	auto it = lower_bound(all(H), ser);
	ser = { m,r + 1 };
	auto it2 = lower_bound(all(H), ser);

	int li = l, t;

	for (auto i = it;;i++) {
		if (i == it2)
			t = r;
		else {
			t = (*i).second - 1;
			ruq(t + 1, t + 1, me);
		}
		if (li <= t) {
			num++;
			ruq(li, t, num);
			T[me].push_back(num);
			R[num] = make_tuple(li, t, m);
			par[num] = me;
			make_skytree(li, t, num);
		}
		li = t + 2;

		if (i == it2)break;
	}
}

int main() {
	for (int i = 0;i < 524288;i++)seg[i] = 0, rt[i] = 0;
	for (int i = 0;i < 1048576;i++)as[i] = 0, lc[i] = 0;
	for (int i = 0;i < 400010;i++)W[i] = hlnum[i] = hlseg[i] = hltop[i] = hlpar[i] = par[i] = 0;
	int N, M;
	cin >> N;
	R[1] = make_tuple(1, N, N + 3);
	for (int i = 0;i < N;i++) {
		cin >> A[i];
		seg[i + 262145] = A[i];
		H.push_back({ A[i],i + 1 });
	}
	sort(all(H));

	for (int i = 262143;i >= 0;i--) {
		seg[i] = max(seg[i * 2], seg[i * 2 + 1]);
	}

	int a = 1;
	make_skytree(1, N, a);

	wgh(1);
	a = 1;
	hld(1, 1, a);

	cin >> M;
	ll X, Y, C, xi, alc = 0;
	vector<tuple<ll, ll, ll>> V(M);
	for (int i = 0;i < M;i++) {
		cin >> X >> Y >> C;
		xi = gets(X);
		alc += C;
		V[i] = make_tuple(Y, xi, C);
	}

	sort(all(V));

	for (int i = 0;i < M;i++) {
		tie(Y, xi, C) = V[i];

		solve(xi, Y, C, 0);
	}

	cout << alc - get_as(1) << endl;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 53120 KB Output is correct
2 Correct 33 ms 53120 KB Output is correct
3 Correct 32 ms 53120 KB Output is correct
4 Correct 35 ms 53120 KB Output is correct
5 Correct 37 ms 53112 KB Output is correct
6 Correct 34 ms 53288 KB Output is correct
7 Correct 32 ms 53120 KB Output is correct
8 Correct 33 ms 53240 KB Output is correct
9 Correct 36 ms 53216 KB Output is correct
10 Correct 35 ms 53112 KB Output is correct
11 Correct 36 ms 53112 KB Output is correct
12 Correct 33 ms 53240 KB Output is correct
13 Correct 33 ms 53112 KB Output is correct
14 Correct 36 ms 53224 KB Output is correct
15 Correct 33 ms 53120 KB Output is correct
16 Correct 40 ms 53240 KB Output is correct
17 Correct 34 ms 53248 KB Output is correct
18 Correct 35 ms 53216 KB Output is correct
19 Correct 33 ms 53248 KB Output is correct
20 Correct 32 ms 53240 KB Output is correct
21 Correct 33 ms 53112 KB Output is correct
22 Correct 37 ms 53120 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 53120 KB Output is correct
2 Correct 33 ms 53120 KB Output is correct
3 Correct 32 ms 53120 KB Output is correct
4 Correct 35 ms 53120 KB Output is correct
5 Correct 37 ms 53112 KB Output is correct
6 Correct 34 ms 53288 KB Output is correct
7 Correct 32 ms 53120 KB Output is correct
8 Correct 33 ms 53240 KB Output is correct
9 Correct 36 ms 53216 KB Output is correct
10 Correct 35 ms 53112 KB Output is correct
11 Correct 36 ms 53112 KB Output is correct
12 Correct 33 ms 53240 KB Output is correct
13 Correct 33 ms 53112 KB Output is correct
14 Correct 36 ms 53224 KB Output is correct
15 Correct 33 ms 53120 KB Output is correct
16 Correct 40 ms 53240 KB Output is correct
17 Correct 34 ms 53248 KB Output is correct
18 Correct 35 ms 53216 KB Output is correct
19 Correct 33 ms 53248 KB Output is correct
20 Correct 32 ms 53240 KB Output is correct
21 Correct 33 ms 53112 KB Output is correct
22 Correct 37 ms 53120 KB Output is correct
23 Correct 40 ms 53376 KB Output is correct
24 Correct 39 ms 53376 KB Output is correct
25 Correct 38 ms 53428 KB Output is correct
26 Correct 39 ms 53376 KB Output is correct
27 Correct 39 ms 53368 KB Output is correct
28 Correct 42 ms 53368 KB Output is correct
29 Correct 37 ms 53248 KB Output is correct
30 Correct 45 ms 53376 KB Output is correct
31 Correct 43 ms 53240 KB Output is correct
32 Correct 39 ms 53496 KB Output is correct
33 Correct 38 ms 53368 KB Output is correct
34 Correct 37 ms 53368 KB Output is correct
35 Correct 37 ms 53376 KB Output is correct
36 Correct 34 ms 53240 KB Output is correct
37 Correct 40 ms 53368 KB Output is correct
38 Correct 38 ms 53624 KB Output is correct
39 Correct 44 ms 53368 KB Output is correct
40 Correct 44 ms 53496 KB Output is correct
41 Correct 41 ms 53240 KB Output is correct
42 Correct 37 ms 53248 KB Output is correct
43 Correct 46 ms 53472 KB Output is correct
44 Correct 36 ms 53272 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 53120 KB Output is correct
2 Correct 33 ms 53120 KB Output is correct
3 Correct 32 ms 53120 KB Output is correct
4 Correct 35 ms 53120 KB Output is correct
5 Correct 37 ms 53112 KB Output is correct
6 Correct 34 ms 53288 KB Output is correct
7 Correct 32 ms 53120 KB Output is correct
8 Correct 33 ms 53240 KB Output is correct
9 Correct 36 ms 53216 KB Output is correct
10 Correct 35 ms 53112 KB Output is correct
11 Correct 36 ms 53112 KB Output is correct
12 Correct 33 ms 53240 KB Output is correct
13 Correct 33 ms 53112 KB Output is correct
14 Correct 36 ms 53224 KB Output is correct
15 Correct 33 ms 53120 KB Output is correct
16 Correct 40 ms 53240 KB Output is correct
17 Correct 34 ms 53248 KB Output is correct
18 Correct 35 ms 53216 KB Output is correct
19 Correct 33 ms 53248 KB Output is correct
20 Correct 32 ms 53240 KB Output is correct
21 Correct 33 ms 53112 KB Output is correct
22 Correct 37 ms 53120 KB Output is correct
23 Correct 40 ms 53376 KB Output is correct
24 Correct 39 ms 53376 KB Output is correct
25 Correct 38 ms 53428 KB Output is correct
26 Correct 39 ms 53376 KB Output is correct
27 Correct 39 ms 53368 KB Output is correct
28 Correct 42 ms 53368 KB Output is correct
29 Correct 37 ms 53248 KB Output is correct
30 Correct 45 ms 53376 KB Output is correct
31 Correct 43 ms 53240 KB Output is correct
32 Correct 39 ms 53496 KB Output is correct
33 Correct 38 ms 53368 KB Output is correct
34 Correct 37 ms 53368 KB Output is correct
35 Correct 37 ms 53376 KB Output is correct
36 Correct 34 ms 53240 KB Output is correct
37 Correct 40 ms 53368 KB Output is correct
38 Correct 38 ms 53624 KB Output is correct
39 Correct 44 ms 53368 KB Output is correct
40 Correct 44 ms 53496 KB Output is correct
41 Correct 41 ms 53240 KB Output is correct
42 Correct 37 ms 53248 KB Output is correct
43 Correct 46 ms 53472 KB Output is correct
44 Correct 36 ms 53272 KB Output is correct
45 Correct 1057 ms 72928 KB Output is correct
46 Correct 1012 ms 72780 KB Output is correct
47 Correct 1035 ms 72908 KB Output is correct
48 Correct 1010 ms 72668 KB Output is correct
49 Correct 1031 ms 72564 KB Output is correct
50 Correct 1027 ms 72432 KB Output is correct
51 Correct 1040 ms 72452 KB Output is correct
52 Correct 1066 ms 73160 KB Output is correct
53 Correct 1022 ms 72804 KB Output is correct
54 Correct 864 ms 87572 KB Output is correct
55 Correct 893 ms 83372 KB Output is correct
56 Correct 819 ms 80996 KB Output is correct
57 Correct 826 ms 79588 KB Output is correct
58 Correct 524 ms 66276 KB Output is correct
59 Correct 536 ms 66580 KB Output is correct
60 Correct 655 ms 96100 KB Output is correct
61 Correct 759 ms 70420 KB Output is correct
62 Correct 786 ms 86500 KB Output is correct
63 Correct 671 ms 69092 KB Output is correct
64 Correct 756 ms 69988 KB Output is correct
65 Correct 787 ms 86512 KB Output is correct
66 Correct 716 ms 69348 KB Output is correct