oj.uz

Submission #937801

# Submission time Handle Problem Language Result Execution time Memory
937801 2024-03-04T13:24:27 Z WonderfulWhale Designated Cities (JOI19_designated_cities) C++17
39 / 100
 2000 ms 156332 KB 
#pragma GCC optimize "Ofast" // Not standard-compliant, alternative: O3
#pragma GCC optimize "inline" // Inlines all functions declared inline
#pragma GCC optimize "unroll-loops"
#include<bits/stdc++.h>
using namespace std;

#define int int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

int CNT = 0;

inline char gc() { // like getchar()
		static char buf[1 << 16];
			static size_t bc, be;
				if (bc >= be) {
							buf[0] = 0, bc = 0;
									be = fread(buf, 1, sizeof(buf), stdin);
										}
					return buf[bc++]; // returns 0 on EOF
}

int readInt() {
		int a, c;
			while ((a = gc()) < 40);
				if (a == '-') return -readInt();
				while ((c = gc()) >= 48) a = a * 10 + c - 480;
					return a - 48;
}

const int MAXN = 200'009;
const int INF = 1e9;

bool vis[MAXN];

struct SegTree {
	const static int T = 1<<19;
	pii t[2*T];
	int lz[2*T];
	void push(int v) {
		t[2*v].st += lz[v];
		lz[2*v] += lz[v];
		t[2*v+1].st += lz[v];
		lz[2*v+1] += lz[v];
		lz[v] = 0;
	}
	void update(int l, int r, int val, int tl=0, int tr=T-1, int v=1) {
		//if(v==1) cerr << l << " " << r << " " << val << "\n";
		if(l>r) return;
		if(l==tl&&r==tr) {
			//cerr << "adding: " << v << " " << val << "\n";
			t[v].st += val;
			lz[v] += val;
			//cerr << "new: " << t[v] << "\n";
			return;
		}
		int tm = (tl+tr)/2;
		push(v);
		update(l, min(r, tm), val, tl, tm, 2*v);
		update(max(l, tm+1), r, val, tm+1, tr, 2*v+1);
		t[v] = max(t[2*v], t[2*v+1]);
	}
	pii query(int l, int r, int tl=0, int tr=T-1, int v=1) {
		//cerr << "query: " << l <<  " " << r << " " << v << " "<<t[v] << "\n";
		if(l>r) return {-INF, -1};
		if(l==tl&&r==tr) return t[v];
		int tm = (tl+tr)/2;
		push(v);
		return max(query(l, min(r, tm), tl, tm, 2*v),
				query(max(l, tm+1), r, tm+1, tr, 2*v+1));
	}
} seg, seg1, seg2;

int n;
vector<pair<int, pii>> G[MAXN];
int tin[MAXN], tout[MAXN], T;
int sum[MAXN];
int heavy[MAXN];
int head[MAXN];
int pos[MAXN], P;
int par[MAXN];
pii cost[MAXN];

pii dp[MAXN];

void dfs(int x, int p=-1) {
	par[x] = p;
	tin[x] = ++T;
	seg.t[tin[x]+seg.T].nd = x;
	seg.update(tin[x], tin[x], INF);
	for(auto [y, c]:G[x]) {
		if(y==p) 
			continue;
		cost[y] = c;
		sum[x] += c.nd;
		dfs(y, x);
		sum[x] += sum[y];
	}
	tout[x] = ++T;
	seg.t[tout[x]+seg.T].nd = x;
	seg.update(tout[x], tout[x], INF);
	for(auto [y, c]:G[x]) {
		if(y==p) continue;
		//cerr << "updates: " << x << " " << y << "\n";
		seg.update(tin[y], tout[y], c.st);
		seg.update(1, tin[y]-1, c.nd);
		seg.update(tout[y]+1, 2*n, c.nd);
	}
}

pair<int, pii> start;

void dfs2(int x, int p=-1, int s=0) {
	pii best[2];
	best[0] = {0, x};
	best[1].st = -INF;
	for(auto [y, c]:G[x]) {
		if(y==p) continue;
		dfs2(y, x, s+c.st+sum[x]-sum[y]-c.nd);
		int val = dp[y].st+c.st+c.nd-sum[y]-c.nd;
		if(val>=best[0].st) {
			best[1] = best[0];
			best[0] = {val, dp[y].nd};
		} else if(val>=best[1].st) {
			best[1] = {val, dp[y].nd};
		}
	}
	start = max(start, {best[0].st+best[1].st+s+sum[x], 
			{best[0].nd, best[1].nd}});
	dp[x] = {sum[x], x};
	for(auto [y, c]:G[x]) {
		if(y==p) continue;
		dp[x] = max(dp[x], 
				{dp[y].st+c.st+c.nd+sum[x]-sum[y]-c.nd, dp[y].nd});
	}
}

int dfs3(int x, int p=-1) {
	int s = 1;
	int max_s = 0;
	for(auto [y, c]:G[x]) {
		if(y==p) continue;
		int c_s = dfs3(y, x);
		s += c_s;
		if(c_s>max_s) {
			max_s = c_s;
			heavy[x] = y;
		}
	}
	return s;
}

void decompose(int x, int h, int p=-1) {
	head[x] = h;
	pos[x] = P++;
	if(heavy[x]!=0)
		decompose(heavy[x], h, x);
	for(auto [y, c]:G[x]) {
		if(y!=p&&y!=heavy[x])
			decompose(y, y, x);
	}
	//cerr << "hld: " << x << "->" << pos[x] << "\n";
}

int ans[MAXN];

void erase_e(int x, int type) {
	CNT++;
	//cerr << "erasing edge: " << x << " " << type << "\n";
	if(type==0) {
		seg.update(1, tin[x]-1, -cost[x].nd);
		seg.update(tout[x]+1, 2*n, -cost[x].nd);
		seg1.update(pos[x], pos[x], -INF);
	}
	if(type==1) {
		seg.update(tin[x], tout[x], -cost[x].st);
		seg2.update(pos[x], pos[x], -INF);
	}
}

void erase_v(int x) {
	//cerr << "erasing v: " << x << "\n";
	seg.update(tin[x], tin[x], -INF);
	seg.update(tout[x], tout[x], -INF);
	vector<pii> segments;
	int cur = x;
	while(cur!=-1) {
		segments.pb({pos[head[cur]], pos[cur]});
		cur = par[head[cur]];
	}
	reverse(all(segments));
	for(pii x:segments) {
		//cerr << x.st << " " << x.nd << "\n";
	}
	int pre = 0;
	for(pii x:segments) {
		pii y = seg1.query(pre, x.st-1);
		//cerr << "querying: "<< pre << " " << x.st-1 << "\n";
		while(y.st>0) {
			erase_e(y.nd, 0);
			y = seg1.query(pre, x.st-1);
		}
		pre = x.nd+1;
	}
	pii Y = seg1.query(pre, n);
	while(Y.st>0) {
		erase_e(Y.nd, 0);
		Y = seg1.query(pre, n);
	}
	cur = x;
	while(cur) {
		if(!vis[cur]) {
			vis[cur] = true;
			erase_e(cur, 1);
		} else {
			break;
		}
		cur = par[cur];
	}
	//for(pii x:segments) {
		//pii y = seg2.query(x.st, x.nd);
		//while(y.st>0) {
			//erase_e(y.nd, 1);
			//y = seg2.query(x.st, x.nd);
		//}
	//}
}

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

	for(int i=0;i<2*seg.T;i++) {
		seg.t[i].st = -INF;
	}

	//cin >> n;
	n = readInt();
	int S = 0;
	for(int i=0;i<n-1;i++) {
		int a, b, c, d;
		//cin >> a >> b >> c >> d;
		a = readInt();
		b = readInt();
		c = readInt();
		d = readInt();
		S += c+d;
		G[a].pb({b, {c, d}});
		G[b].pb({a, {d, c}});
	}
	dfs(1);
	dfs2(1);
	dfs3(1);
	decompose(1, 1);
	for(int i=2;i<=n;i++) {
		seg1.t[pos[i]+seg1.T].nd = i;
		seg1.update(pos[i], pos[i], cost[i].nd);
		seg2.t[pos[i]+seg2.T].nd = i;
		seg2.update(pos[i], pos[i], cost[i].nd);
	}
	//cerr << "cos: " << tin[2] << "\n";
	ans[1] = seg.query(1, 2*n).st;
	ans[2] = start.st;
	//cerr << "here\n";
	erase_v(start.nd.st);
	erase_v(start.nd.nd);
	//cerr << "here\n";
	for(int i=3;i<=n;i++) {
		//cerr << seg.query(tin[2], tin[2]).st << " xd\n";
		//cerr << seg.query(tin[0], tin[0]).st << " xd\n";
		pii x = seg.query(1, 2*n);
		//cerr << "New year, new me " << x.nd << "\n";
		//cerr << "with some weird value: " << x.st << "\n";
		ans[i] = ans[i-1] + x.st;
		erase_v(x.nd);
	}
	int q;
	q = readInt();
	//cin >> q;
	while(q--) {
		int x;
		x = readInt();
		//cin >> x;
		cout << S-ans[x] << "\n";
	}
}

Compilation message

designated_cities.cpp: In function 'int64_t readInt()':
designated_cities.cpp:29:4: warning: this 'while' clause does not guard... [-Wmisleading-indentation]
   29 |    while ((a = gc()) < 40);
      |    ^~~~~
designated_cities.cpp:30:5: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'while'
   30 |     if (a == '-') return -readInt();
      |     ^~
designated_cities.cpp: In function 'void erase_v(int64_t)':
designated_cities.cpp:196:10: warning: variable 'x' set but not used [-Wunused-but-set-variable]
  196 |  for(pii x:segments) {
      |          ^

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 62036 KB Output is correct
2 Correct 10 ms 62044 KB Output is correct
3 Correct 10 ms 64004 KB Output is correct
4 Correct 10 ms 66140 KB Output is correct
5 Correct 10 ms 62040 KB Output is correct
6 Correct 9 ms 61964 KB Output is correct
7 Correct 10 ms 62040 KB Output is correct
8 Correct 11 ms 62044 KB Output is correct
9 Correct 11 ms 62044 KB Output is correct
10 Correct 10 ms 61956 KB Output is correct
11 Correct 11 ms 62040 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 64088 KB Output is correct
2 Correct 1871 ms 101976 KB Output is correct
3 Correct 1644 ms 149332 KB Output is correct
4 Correct 1676 ms 107092 KB Output is correct
5 Correct 1717 ms 108236 KB Output is correct
6 Correct 1745 ms 114444 KB Output is correct
7 Correct 1633 ms 107260 KB Output is correct
8 Correct 1642 ms 150612 KB Output is correct
9 Correct 1591 ms 103420 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 62044 KB Output is correct
2 Correct 1936 ms 102260 KB Output is correct
3 Correct 1610 ms 156332 KB Output is correct
4 Correct 1776 ms 107220 KB Output is correct
5 Correct 1716 ms 108584 KB Output is correct
6 Correct 1759 ms 115448 KB Output is correct
7 Correct 1618 ms 107488 KB Output is correct
8 Correct 1694 ms 134732 KB Output is correct
9 Correct 1587 ms 103416 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 62036 KB Output is correct
2 Correct 10 ms 62044 KB Output is correct
3 Correct 10 ms 64004 KB Output is correct
4 Correct 10 ms 66140 KB Output is correct
5 Correct 10 ms 62040 KB Output is correct
6 Correct 9 ms 61964 KB Output is correct
7 Correct 10 ms 62040 KB Output is correct
8 Correct 11 ms 62044 KB Output is correct
9 Correct 11 ms 62044 KB Output is correct
10 Correct 10 ms 61956 KB Output is correct
11 Correct 11 ms 62040 KB Output is correct
12 Correct 10 ms 59992 KB Output is correct
13 Correct 21 ms 60564 KB Output is correct
14 Correct 20 ms 60764 KB Output is correct
15 Correct 24 ms 60508 KB Output is correct
16 Correct 21 ms 60348 KB Output is correct
17 Correct 20 ms 60508 KB Output is correct
18 Correct 20 ms 62556 KB Output is correct
19 Correct 20 ms 60508 KB Output is correct
20 Correct 20 ms 60344 KB Output is correct
21 Correct 20 ms 60504 KB Output is correct
22 Correct 20 ms 60504 KB Output is correct
23 Correct 21 ms 60508 KB Output is correct
24 Correct 19 ms 60504 KB Output is correct
25 Correct 20 ms 60764 KB Output is correct
26 Correct 21 ms 60508 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 64088 KB Output is correct
2 Correct 1871 ms 101976 KB Output is correct
3 Correct 1644 ms 149332 KB Output is correct
4 Correct 1676 ms 107092 KB Output is correct
5 Correct 1717 ms 108236 KB Output is correct
6 Correct 1745 ms 114444 KB Output is correct
7 Correct 1633 ms 107260 KB Output is correct
8 Correct 1642 ms 150612 KB Output is correct
9 Correct 1591 ms 103420 KB Output is correct
10 Correct 10 ms 62044 KB Output is correct
11 Correct 1936 ms 102260 KB Output is correct
12 Correct 1610 ms 156332 KB Output is correct
13 Correct 1776 ms 107220 KB Output is correct
14 Correct 1716 ms 108584 KB Output is correct
15 Correct 1759 ms 115448 KB Output is correct
16 Correct 1618 ms 107488 KB Output is correct
17 Correct 1694 ms 134732 KB Output is correct
18 Correct 1587 ms 103416 KB Output is correct
19 Correct 9 ms 59996 KB Output is correct
20 Execution timed out 2015 ms 108652 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 62036 KB Output is correct
2 Correct 10 ms 62044 KB Output is correct
3 Correct 10 ms 64004 KB Output is correct
4 Correct 10 ms 66140 KB Output is correct
5 Correct 10 ms 62040 KB Output is correct
6 Correct 9 ms 61964 KB Output is correct
7 Correct 10 ms 62040 KB Output is correct
8 Correct 11 ms 62044 KB Output is correct
9 Correct 11 ms 62044 KB Output is correct
10 Correct 10 ms 61956 KB Output is correct
11 Correct 11 ms 62040 KB Output is correct
12 Correct 10 ms 64088 KB Output is correct
13 Correct 1871 ms 101976 KB Output is correct
14 Correct 1644 ms 149332 KB Output is correct
15 Correct 1676 ms 107092 KB Output is correct
16 Correct 1717 ms 108236 KB Output is correct
17 Correct 1745 ms 114444 KB Output is correct
18 Correct 1633 ms 107260 KB Output is correct
19 Correct 1642 ms 150612 KB Output is correct
20 Correct 1591 ms 103420 KB Output is correct
21 Correct 10 ms 62044 KB Output is correct
22 Correct 1936 ms 102260 KB Output is correct
23 Correct 1610 ms 156332 KB Output is correct
24 Correct 1776 ms 107220 KB Output is correct
25 Correct 1716 ms 108584 KB Output is correct
26 Correct 1759 ms 115448 KB Output is correct
27 Correct 1618 ms 107488 KB Output is correct
28 Correct 1694 ms 134732 KB Output is correct
29 Correct 1587 ms 103416 KB Output is correct
30 Correct 10 ms 59992 KB Output is correct
31 Correct 21 ms 60564 KB Output is correct
32 Correct 20 ms 60764 KB Output is correct
33 Correct 24 ms 60508 KB Output is correct
34 Correct 21 ms 60348 KB Output is correct
35 Correct 20 ms 60508 KB Output is correct
36 Correct 20 ms 62556 KB Output is correct
37 Correct 20 ms 60508 KB Output is correct
38 Correct 20 ms 60344 KB Output is correct
39 Correct 20 ms 60504 KB Output is correct
40 Correct 20 ms 60504 KB Output is correct
41 Correct 21 ms 60508 KB Output is correct
42 Correct 19 ms 60504 KB Output is correct
43 Correct 20 ms 60764 KB Output is correct
44 Correct 21 ms 60508 KB Output is correct
45 Correct 9 ms 59996 KB Output is correct
46 Execution timed out 2015 ms 108652 KB Time limit exceeded
47 Halted 0 ms 0 KB -