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Submission #523391

# Submission time Handle Problem Language Result Execution time Memory
523391 2022-02-07T15:11:21 Z NachoLibre Designated Cities (JOI19_designated_cities) C++17
100 / 100
 1929 ms 123796 KB 
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
using namespace std;

const int N = 200005;
int n, p5[N];
vector<int> iv[N], v[N];
vector<array<ll, 2> > se[N][2], m5;
map<array<int, 2>, int> e;
array<ll, 2> s[N], spt[N], p1;
array<ll, 3> p2;
ll t0, fp[N], is5[N];
vector<ll> u5, u5c;
bool t5[N];

array<ll, 2> operator+(array<ll, 2> x, int y) {
	x[0] += y;
	return x;
}

void dfs_0(int x = 1, int y = 0) {
	for(int z : iv[x]) {
		if(z == y) continue;
		v[x].push_back(z);
		dfs_0(z, x);
	}
}

void dfs_1(int x = 1) {
	s[x] = {0, x};
	se[x][0].resize(sz(v[x]));
	se[x][1].resize(sz(v[x]));
	for(int z : v[x]) {
		dfs_1(z);
		s[x] = max(s[x], s[z] + e[{x, z}]);
	}
	if(!sz(v[x])) return;
	se[x][0][0] = s[v[x][0]] + e[{x, v[x][0]}];
	for(int i = 1; i < sz(v[x]); ++i) {
		se[x][0][i] = max(se[x][0][i - 1], s[v[x][i]] + e[{x, v[x][i]}]);
	}
	se[x][1].back() = s[v[x].back()] + e[{x, v[x].back()}];
	for(int i = sz(v[x]) - 2; i >= 0; --i) {
		se[x][1][i] = max(se[x][1][i + 1], s[v[x][i]] + e[{x, v[x][i]}]);
	}
}

void dfs_2(int x = 1) {
	for(int i = 0; i < sz(v[x]); ++i) {
		int z = v[x][i];
		array<ll, 2> l = {0, 0}, r = {0, 0};
		if(i > 0) l = se[x][0][i - 1];
		if(i < sz(v[x]) - 1) r = se[x][1][i + 1];
		spt[z] = max(max(l, r), spt[x]) + e[{z, x}];
		dfs_2(z);
	}
}

ll dfs_3(int x = 1) {
	ll y = 0;
	for(int z : v[x]) {
		y += dfs_3(z) + e[{z, x}];
	}
	return y;
}

void dfs_4(ll y, int x = 1) {
	p1 = max(p1, array<ll, 2>{y, x});
	array<ll, 2> t2 = max(s[x], spt[x]);
	array<ll, 3> t3 = {t2[0] + y, t2[1], x};
	p2 = max(p2, t3);
	for(int z : v[x]) {
		dfs_4(y - e[{z, x}] + e[{x, z}], z);
	}
}

void dfs_5(int x = p2[1], int y = 0) {
	p5[x] = y;
	for(int z : iv[x]) {
		if(z == y) continue;
		dfs_5(z, x);
	}
}

void dfs_6(int x = p2[1], int y = 0) {
	if(!t5[x]) {
		is5[x] = is5[y] + e[{y, x}];
	}
	for(int z : iv[x]) {
		if(z == y) continue;
		dfs_6(z, x);
	}
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	#ifdef x
	freopen("x.txt", "r", stdin);
	#endif
	cin >> n;
	for(int i = 1; i < n; ++i) {
		int x, y, c, d;
		cin >> x >> y >> c >> d;
		iv[x].push_back(y);
		iv[y].push_back(x);
		e[{x, y}] = c;
		e[{y, x}] = d;
		t0 += c + d;
	}
	dfs_0();
	dfs_1();
	spt[1] = {0, 1};
	dfs_2();
	dfs_4(dfs_3());
	dfs_5();
	int x = p2[2];
	while(x) {
		t5[x] = 1;
		x = p5[x];
	}
	dfs_6();
	for(int i = 1; i <= n; ++i) {
		m5.push_back(array<ll, 2>{is5[i], i});
	}
	sort(all(m5));
	reverse(all(m5));
	u5 = vector<ll>(n + 1);
	for(auto x : m5) {
		int y = x[1];
		int iy = y;
		while(!t5[y]) {
			u5[iy] += e[{p5[y], y}];
			t5[y] = 1;
			y = p5[y];
		}
	}
	u5c = u5;
	sort(1 + all(u5c));
	fp[1] = t0 - p1[0];
	fp[2] = t0 - p2[0];
	for(int i = n; i >= 3; --i) {
		fp[3 + n - i] = fp[2 + n - i] - u5c[i];
	}
	int q;
	cin >> q;
	for(int i = 0; i < q; ++i) {
		int x;
		cin >> x;
		cout << fp[x] << "\n";
	}
	return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19100 KB Output is correct
2 Correct 10 ms 19068 KB Output is correct
3 Correct 10 ms 19148 KB Output is correct
4 Correct 11 ms 19020 KB Output is correct
5 Correct 11 ms 19120 KB Output is correct
6 Correct 11 ms 19036 KB Output is correct
7 Correct 11 ms 19124 KB Output is correct
8 Correct 10 ms 19100 KB Output is correct
9 Correct 10 ms 19020 KB Output is correct
10 Correct 11 ms 19032 KB Output is correct
11 Correct 12 ms 19020 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 19020 KB Output is correct
2 Correct 1563 ms 87516 KB Output is correct
3 Correct 1445 ms 118780 KB Output is correct
4 Correct 1573 ms 85872 KB Output is correct
5 Correct 1622 ms 86776 KB Output is correct
6 Correct 1590 ms 91072 KB Output is correct
7 Correct 1599 ms 85168 KB Output is correct
8 Correct 1488 ms 120052 KB Output is correct
9 Correct 1479 ms 81376 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19020 KB Output is correct
2 Correct 1558 ms 87396 KB Output is correct
3 Correct 1428 ms 123356 KB Output is correct
4 Correct 1555 ms 86004 KB Output is correct
5 Correct 1548 ms 86908 KB Output is correct
6 Correct 1610 ms 91600 KB Output is correct
7 Correct 1526 ms 82356 KB Output is correct
8 Correct 1587 ms 106312 KB Output is correct
9 Correct 1520 ms 80988 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19100 KB Output is correct
2 Correct 10 ms 19068 KB Output is correct
3 Correct 10 ms 19148 KB Output is correct
4 Correct 11 ms 19020 KB Output is correct
5 Correct 11 ms 19120 KB Output is correct
6 Correct 11 ms 19036 KB Output is correct
7 Correct 11 ms 19124 KB Output is correct
8 Correct 10 ms 19100 KB Output is correct
9 Correct 10 ms 19020 KB Output is correct
10 Correct 11 ms 19032 KB Output is correct
11 Correct 12 ms 19020 KB Output is correct
12 Correct 10 ms 19068 KB Output is correct
13 Correct 15 ms 19764 KB Output is correct
14 Correct 15 ms 20072 KB Output is correct
15 Correct 15 ms 19796 KB Output is correct
16 Correct 15 ms 19788 KB Output is correct
17 Correct 15 ms 19776 KB Output is correct
18 Correct 16 ms 19772 KB Output is correct
19 Correct 19 ms 19924 KB Output is correct
20 Correct 15 ms 19856 KB Output is correct
21 Correct 17 ms 19772 KB Output is correct
22 Correct 18 ms 19776 KB Output is correct
23 Correct 18 ms 19916 KB Output is correct
24 Correct 15 ms 19756 KB Output is correct
25 Correct 15 ms 20172 KB Output is correct
26 Correct 14 ms 19804 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 19020 KB Output is correct
2 Correct 1563 ms 87516 KB Output is correct
3 Correct 1445 ms 118780 KB Output is correct
4 Correct 1573 ms 85872 KB Output is correct
5 Correct 1622 ms 86776 KB Output is correct
6 Correct 1590 ms 91072 KB Output is correct
7 Correct 1599 ms 85168 KB Output is correct
8 Correct 1488 ms 120052 KB Output is correct
9 Correct 1479 ms 81376 KB Output is correct
10 Correct 10 ms 19020 KB Output is correct
11 Correct 1558 ms 87396 KB Output is correct
12 Correct 1428 ms 123356 KB Output is correct
13 Correct 1555 ms 86004 KB Output is correct
14 Correct 1548 ms 86908 KB Output is correct
15 Correct 1610 ms 91600 KB Output is correct
16 Correct 1526 ms 82356 KB Output is correct
17 Correct 1587 ms 106312 KB Output is correct
18 Correct 1520 ms 80988 KB Output is correct
19 Correct 9 ms 19020 KB Output is correct
20 Correct 1600 ms 87344 KB Output is correct
21 Correct 1420 ms 123796 KB Output is correct
22 Correct 1537 ms 85868 KB Output is correct
23 Correct 1551 ms 87372 KB Output is correct
24 Correct 1522 ms 86152 KB Output is correct
25 Correct 1581 ms 87560 KB Output is correct
26 Correct 1600 ms 86012 KB Output is correct
27 Correct 1614 ms 86816 KB Output is correct
28 Correct 1563 ms 90924 KB Output is correct
29 Correct 1547 ms 88204 KB Output is correct
30 Correct 1502 ms 85252 KB Output is correct
31 Correct 1631 ms 84452 KB Output is correct
32 Correct 1544 ms 107748 KB Output is correct
33 Correct 1475 ms 81520 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19100 KB Output is correct
2 Correct 10 ms 19068 KB Output is correct
3 Correct 10 ms 19148 KB Output is correct
4 Correct 11 ms 19020 KB Output is correct
5 Correct 11 ms 19120 KB Output is correct
6 Correct 11 ms 19036 KB Output is correct
7 Correct 11 ms 19124 KB Output is correct
8 Correct 10 ms 19100 KB Output is correct
9 Correct 10 ms 19020 KB Output is correct
10 Correct 11 ms 19032 KB Output is correct
11 Correct 12 ms 19020 KB Output is correct
12 Correct 13 ms 19020 KB Output is correct
13 Correct 1563 ms 87516 KB Output is correct
14 Correct 1445 ms 118780 KB Output is correct
15 Correct 1573 ms 85872 KB Output is correct
16 Correct 1622 ms 86776 KB Output is correct
17 Correct 1590 ms 91072 KB Output is correct
18 Correct 1599 ms 85168 KB Output is correct
19 Correct 1488 ms 120052 KB Output is correct
20 Correct 1479 ms 81376 KB Output is correct
21 Correct 10 ms 19020 KB Output is correct
22 Correct 1558 ms 87396 KB Output is correct
23 Correct 1428 ms 123356 KB Output is correct
24 Correct 1555 ms 86004 KB Output is correct
25 Correct 1548 ms 86908 KB Output is correct
26 Correct 1610 ms 91600 KB Output is correct
27 Correct 1526 ms 82356 KB Output is correct
28 Correct 1587 ms 106312 KB Output is correct
29 Correct 1520 ms 80988 KB Output is correct
30 Correct 10 ms 19068 KB Output is correct
31 Correct 15 ms 19764 KB Output is correct
32 Correct 15 ms 20072 KB Output is correct
33 Correct 15 ms 19796 KB Output is correct
34 Correct 15 ms 19788 KB Output is correct
35 Correct 15 ms 19776 KB Output is correct
36 Correct 16 ms 19772 KB Output is correct
37 Correct 19 ms 19924 KB Output is correct
38 Correct 15 ms 19856 KB Output is correct
39 Correct 17 ms 19772 KB Output is correct
40 Correct 18 ms 19776 KB Output is correct
41 Correct 18 ms 19916 KB Output is correct
42 Correct 15 ms 19756 KB Output is correct
43 Correct 15 ms 20172 KB Output is correct
44 Correct 14 ms 19804 KB Output is correct
45 Correct 9 ms 19020 KB Output is correct
46 Correct 1600 ms 87344 KB Output is correct
47 Correct 1420 ms 123796 KB Output is correct
48 Correct 1537 ms 85868 KB Output is correct
49 Correct 1551 ms 87372 KB Output is correct
50 Correct 1522 ms 86152 KB Output is correct
51 Correct 1581 ms 87560 KB Output is correct
52 Correct 1600 ms 86012 KB Output is correct
53 Correct 1614 ms 86816 KB Output is correct
54 Correct 1563 ms 90924 KB Output is correct
55 Correct 1547 ms 88204 KB Output is correct
56 Correct 1502 ms 85252 KB Output is correct
57 Correct 1631 ms 84452 KB Output is correct
58 Correct 1544 ms 107748 KB Output is correct
59 Correct 1475 ms 81520 KB Output is correct
60 Correct 10 ms 19108 KB Output is correct
61 Correct 1598 ms 89924 KB Output is correct
62 Correct 1475 ms 120556 KB Output is correct
63 Correct 1650 ms 88600 KB Output is correct
64 Correct 1629 ms 90148 KB Output is correct
65 Correct 1618 ms 88492 KB Output is correct
66 Correct 1632 ms 90056 KB Output is correct
67 Correct 1669 ms 88564 KB Output is correct
68 Correct 1656 ms 89676 KB Output is correct
69 Correct 1717 ms 93060 KB Output is correct
70 Correct 1767 ms 91312 KB Output is correct
71 Correct 1715 ms 87964 KB Output is correct
72 Correct 1929 ms 88204 KB Output is correct
73 Correct 1752 ms 107276 KB Output is correct
74 Correct 1578 ms 85520 KB Output is correct