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Submission #102576

# Submission time Handle Problem Language Result Execution time Memory
102576 2019-03-26T02:14:15 Z IOrtroiii Cats or Dogs (JOI18_catdog) C++14
38 / 100
 808 ms 525312 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 100100;
const int inf = 1e9;

struct Arr {
	array<array<int, 2>, 2> a;
	Arr() { a[0][0] = a[0][1] = a[1][0] = a[1][1] = inf; };
	array<int, 2>& operator [](int id) { return a[id]; }
};

Arr mrg(Arr x,Arr y) {
	Arr z;
	for (int i = 0; i < 2; ++i) {
		for (int j = 0; j < 2; ++j) {
			for (int k = 0; k < 2; ++k) {
				for (int l = 0; l < 2; ++l) {
					z[i][l] = min(z[i][l], x[i][j] + (j ^ k) + y[k][l]);
				} 
			}
		}
	}
	return z;
}

#define md ((l + r) >> 1)

struct SegTree {
	vector<Arr> t;
	void resize(int n) {
		t.resize((n + 1) << 2);
	}
	void build(int v,int l,int r) {
		if (l == r) {
			t[v][0][0] = t[v][1][1] = 0;
			return;
		}
		build(v << 1, l, md);
		build(v << 1 | 1, md + 1, r);
		t[v] = mrg(t[v << 1], t[v << 1 | 1]);
	}
	void add(int v,int l,int r,int p,int v0,int v1) {
		if (p < l || p > r) return;
		if (l == r) {
			t[v][0][0] += v0;
			t[v][1][1] += v1;
			return; 
		}
		add(v << 1, l, md, p, v0, v1);
		add(v << 1 | 1, md + 1, r, p, v0, v1);
		t[v] = mrg(t[v << 1], t[v << 1 | 1]);
	}
} t[N];

int a[N];
vector<int> g[N];
int child[N];
int up[N], par[N];
int tin[N], tt;
int ll[N], rr[N];

void dfs(int u) {
	child[u] = 1;
	for (int v : g[u]) {
		if (v != par[u]) {
			par[v] = u;
			dfs(v);
			child[u] += child[v];
		}
	} 
}

void hld(int u,int root) {
	up[u] = root;
	tin[u] = ++tt;
	int nxt = 0;
	for (int v : g[u]) {
		if (v != par[u]) {
			if (child[v] > child[nxt]) {
				nxt = v;
			}
		}
	}
	if (nxt) {
		hld(nxt, root);
	}
	for (int v : g[u]) {
		if (v != par[u] && v != nxt) {
			hld(v, v);
		}
	}
}

void initialize(int n, vector<int> a,vector<int> b) {
	for (int i = 0; i < n - 1; ++i) {
		g[a[i]].push_back(b[i]);
		g[b[i]].push_back(a[i]);
	}
	dfs(1);
	hld(1, 1);
	fill(ll + 1, ll + n + 1, n);
	fill(ll + 1, ll + n + 1, 1);
	for (int i = 1; i <= n; ++i) {
		ll[up[i]] = min(ll[up[i]], tin[i]);
		rr[up[i]] = max(rr[up[i]], tin[i]);
	}
	for (int i = 1; i <= n; ++i) {
		if (up[i] == i) {
			t[i].resize(rr[i] - ll[i] + 1);
			t[i].build(1, ll[i], rr[i]);
		}
	}
}

void add(int u,int v0,int v1) {
	while (up[u] != up[1]) {
		int v = up[u];
		int nw[2], nx[2];
		nw[0] = nw[1] = inf;
		for (int i = 0; i < 2; ++i) {
			for (int j = 0; j < 2; ++j) {
				for (int k = 0; k < 2; ++k) {
					nw[i] = min(nw[i], (i ^ j) + t[v].t[1][j][k]);
				}
			} 
		} 
		t[v].add(1, ll[v], rr[v], tin[u], v0, v1);
		nx[0] = nx[1] = inf;
		for (int i = 0; i < 2; ++i) {
			for (int j = 0; j < 2; ++j) {
				for (int k = 0; k < 2; ++k) {
					nx[i] = min(nx[i], (i ^ j) + t[v].t[1][j][k]);
				}
			} 
		} 
		u = par[v], v0 = nx[0] - nw[0], v1 = nx[1] - nw[1];
	}
	t[1].add(1, ll[1], rr[1], tin[u], v0, v1);
}

int go() {
	int ans = inf;
	for (int i = 0; i < 2; ++i) {
		for (int j = 0; j < 2; ++j) {
			ans = min(ans, t[1].t[1][i][j]);
		}
	}
	return ans;
}

int cat(int u) {
	a[u] = 0; add(u, 0, inf); return go();
}

int dog(int u) {
	a[u] = 1; add(u, inf, 0); return go();
}

int neighbor(int u) {
	if (a[u]) add(u, -inf, 0);
	else add(u, 0, -inf);
	return go();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 5120 KB Output is correct
2 Correct 7 ms 4992 KB Output is correct
3 Correct 7 ms 4992 KB Output is correct
4 Correct 7 ms 4992 KB Output is correct
5 Correct 7 ms 4992 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 4992 KB Output is correct
9 Correct 8 ms 5120 KB Output is correct
10 Correct 8 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 4992 KB Output is correct
13 Correct 7 ms 4992 KB Output is correct
14 Correct 8 ms 4992 KB Output is correct
15 Correct 6 ms 4992 KB Output is correct
16 Correct 8 ms 5120 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 5120 KB Output is correct
2 Correct 7 ms 4992 KB Output is correct
3 Correct 7 ms 4992 KB Output is correct
4 Correct 7 ms 4992 KB Output is correct
5 Correct 7 ms 4992 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 4992 KB Output is correct
9 Correct 8 ms 5120 KB Output is correct
10 Correct 8 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 4992 KB Output is correct
13 Correct 7 ms 4992 KB Output is correct
14 Correct 8 ms 4992 KB Output is correct
15 Correct 6 ms 4992 KB Output is correct
16 Correct 8 ms 5120 KB Output is correct
17 Correct 17 ms 12800 KB Output is correct
18 Correct 25 ms 17016 KB Output is correct
19 Correct 22 ms 13560 KB Output is correct
20 Correct 9 ms 6060 KB Output is correct
21 Correct 10 ms 6144 KB Output is correct
22 Correct 10 ms 6528 KB Output is correct
23 Correct 22 ms 14336 KB Output is correct
24 Correct 20 ms 13312 KB Output is correct
25 Correct 12 ms 7424 KB Output is correct
26 Correct 11 ms 7680 KB Output is correct
27 Correct 7 ms 5120 KB Output is correct
28 Correct 8 ms 5248 KB Output is correct
29 Correct 9 ms 5248 KB Output is correct
30 Correct 9 ms 6652 KB Output is correct
31 Correct 36 ms 25208 KB Output is correct
32 Correct 14 ms 7808 KB Output is correct

Subtask #3
0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 5120 KB Output is correct
2 Correct 7 ms 4992 KB Output is correct
3 Correct 7 ms 4992 KB Output is correct
4 Correct 7 ms 4992 KB Output is correct
5 Correct 7 ms 4992 KB Output is correct
6 Correct 7 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 4992 KB Output is correct
9 Correct 8 ms 5120 KB Output is correct
10 Correct 8 ms 5120 KB Output is correct
11 Correct 7 ms 5120 KB Output is correct
12 Correct 7 ms 4992 KB Output is correct
13 Correct 7 ms 4992 KB Output is correct
14 Correct 8 ms 4992 KB Output is correct
15 Correct 6 ms 4992 KB Output is correct
16 Correct 8 ms 5120 KB Output is correct
17 Correct 17 ms 12800 KB Output is correct
18 Correct 25 ms 17016 KB Output is correct
19 Correct 22 ms 13560 KB Output is correct
20 Correct 9 ms 6060 KB Output is correct
21 Correct 10 ms 6144 KB Output is correct
22 Correct 10 ms 6528 KB Output is correct
23 Correct 22 ms 14336 KB Output is correct
24 Correct 20 ms 13312 KB Output is correct
25 Correct 12 ms 7424 KB Output is correct
26 Correct 11 ms 7680 KB Output is correct
27 Correct 7 ms 5120 KB Output is correct
28 Correct 8 ms 5248 KB Output is correct
29 Correct 9 ms 5248 KB Output is correct
30 Correct 9 ms 6652 KB Output is correct
31 Correct 36 ms 25208 KB Output is correct
32 Correct 14 ms 7808 KB Output is correct
33 Runtime error 808 ms 525312 KB Execution killed with signal 9 (could be triggered by violating memory limits)
34 Halted 0 ms 0 KB -