oj.uz

Submission #891265

# Submission time Handle Problem Language Result Execution time Memory
891265 2023-12-22T15:46:31 Z fanwen Paths (RMI21_paths) C++17
100 / 100
 214 ms 23984 KB 
#include <bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define ll long long
#define file(name)                  \
    if(fopen(name".inp", "r"))      \
        freopen(name".inp", "r", stdin), freopen(name".out", "w", stdout); 

const int MAX = 3e5 + 5;

int n, k;
long long dp[MAX];
vector <pair <int, int>> adj[MAX];

namespace sub4 {
	bool check() {
		return n <= 2000;
	}

	void dfs(int u, int p, vector <long long> &res) {
		for (pair <int, int> tmp : adj[u]) if(tmp.fi != p) {
			int v = tmp.fi, w = tmp.se;
			dfs(v, u, res);
			dp[u] = max(dp[u], dp[v] + w);
		}

		bool oke = false;
		for (pair <int, int> tmp : adj[u]) if(tmp.fi != p) {
			int v = tmp.fi, w = tmp.se;
			if(dp[u] != dp[v] + w || oke) res.emplace_back(dp[v] + w);
			else oke = true;
		}
	}

	void solve() {
		for (int i = 1; i <= n; ++i) {
	    	fill(dp + 1, dp + n + 1, 0);
	    	vector <long long> res;
	    	dfs(i, 0, res);
	    	res.push_back(dp[i]);
	    	sort(res.begin(), res.end(), greater <long long>());
	    	long long sum = 0;
	    	for (int j = 0; j < min((int) res.size(), k); ++j) sum += res[j];
	    	cout << sum << '\n';
	    }
	    exit(0);
	}
}

namespace sub_full {
	bool check() {
		return true;
	}

	multiset <long long> values, max_k;
	long long total, ans[MAX];
	pair <long long, long long> dp[MAX];

	void insert(long long val) {
		if(max_k.empty() || val > *max_k.begin()) {
			total += val;
			max_k.insert(val);
		} else {
			values.insert(val);
		}
	}

	void remove(long long val) {
		if(max_k.count(val)) {
			max_k.erase(max_k.find(val));
			total -= val;
		} else {
			if(!values.count(val)) return;
			values.erase(values.find(val));
		}
	}

	void get_ans() {
		while((int) max_k.size() < k && !values.empty()) {
			total += *values.rbegin(); 
			max_k.insert(*values.rbegin());
			values.erase(values.find(*values.rbegin()));
		}

		while((int) max_k.size() > k) {
			total -= *max_k.begin();
			values.insert(*max_k.begin());
			max_k.erase(max_k.begin());
		}

	}

	void dfs(int u, int p) {
		for (pair <int, int> tmp : adj[u]) if(tmp.fi != p) {
			int v = tmp.fi, w = tmp.se;
			dfs(v, u);
			if(dp[u].fi < dp[v].fi + w) {
				dp[u].se = dp[u].fi;
				dp[u].fi = dp[v].fi + w;
			} else dp[u].se = max(dp[u].se, dp[v].fi + w);
		}

		bool used = false;

		for (pair <int, int> tmp : adj[u]) if(tmp.fi != p) {
			int v, w; tie(v, w) = tmp;
			if(dp[u].fi != dp[v].fi + w || used) insert(dp[v].fi + w);
			else used = true;
		}
	}

	void calc(int u, int p) {
		get_ans();
		ans[u] = (k == 1 ? dp[u].fi : total);

		for (pair <int, int> tmp : adj[u]) if(tmp.fi != p) {
			int v, w; tie(v, w) = tmp;

			long long val1 = dp[v].fi;
			remove(val1 + w); insert(val1);
			long long val2 = (dp[u].fi == dp[v].fi + w ? dp[u].se : dp[u].fi);
			remove(val2); insert(val2 + w);

			if(dp[v].fi < val2 + w) {
				dp[v].se = dp[v].fi;
				dp[v].fi = val2 + w;
			} else dp[v].se = max(dp[v].se, val2 + w);

			calc(v, u);

			insert(val1 + w), remove(val1);
			insert(val2), remove(val2 + w);
		}
	}
	void solve() {
		dfs(1, 0); 
		insert(dp[1].fi);
		calc(1, 0);
		for (int i = 1; i <= n; ++i) cout << ans[i] << "\n";
			exit(0);
	}
}

void you_make_it(void) {
    cin >> n >> k;
    for (int i = 1; i < n; ++i) {
    	int u, v, w; cin >> u >> v >> w;
    	adj[u].emplace_back(v, w);
    	adj[v].emplace_back(u, w);
    }
    if(sub_full::check()) sub_full::solve();
    if(sub4::check()) sub4::solve();
}

signed main() {

#ifdef LOCAL
    freopen("TASK.inp", "r", stdin);
    freopen("TASK.out", "w", stdout);
#endif
    file("paths");
    auto start_time = chrono::steady_clock::now();

    cin.tie(0), cout.tie(0) -> sync_with_stdio(0);

    you_make_it();

    auto end_time = chrono::steady_clock::now();

    cerr << "\nExecution time : " << chrono::duration_cast <chrono::milliseconds> (end_time - start_time).count() << "[ms]" << endl;

    return (0 ^ 0);
}

// Dream it. Wish it. Do it.

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:10:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   10 |         freopen(name".inp", "r", stdin), freopen(name".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:164:5: note: in expansion of macro 'file'
  164 |     file("paths");
      |     ^~~~
Main.cpp:10:49: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   10 |         freopen(name".inp", "r", stdin), freopen(name".out", "w", stdout);
      |                                          ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:164:5: note: in expansion of macro 'file'
  164 |     file("paths");
      |     ^~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10588 KB Output is correct
2 Correct 2 ms 10676 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10588 KB Output is correct
2 Correct 2 ms 10676 KB Output is correct
3 Correct 3 ms 10584 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 2 ms 10736 KB Output is correct
7 Correct 3 ms 10588 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10588 KB Output is correct
2 Correct 2 ms 10676 KB Output is correct
3 Correct 3 ms 10584 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 2 ms 10736 KB Output is correct
7 Correct 3 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10588 KB Output is correct
11 Correct 4 ms 10588 KB Output is correct
12 Correct 3 ms 10584 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10588 KB Output is correct
2 Correct 2 ms 10676 KB Output is correct
3 Correct 3 ms 10584 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 2 ms 10736 KB Output is correct
7 Correct 3 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10588 KB Output is correct
11 Correct 4 ms 10588 KB Output is correct
12 Correct 3 ms 10584 KB Output is correct
13 Correct 4 ms 10844 KB Output is correct
14 Correct 4 ms 10844 KB Output is correct
15 Correct 5 ms 10844 KB Output is correct
16 Correct 4 ms 10844 KB Output is correct
17 Correct 4 ms 10844 KB Output is correct
18 Correct 4 ms 10844 KB Output is correct
19 Correct 4 ms 10840 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 19456 KB Output is correct
2 Correct 182 ms 21588 KB Output is correct
3 Correct 94 ms 17084 KB Output is correct
4 Correct 179 ms 19480 KB Output is correct
5 Correct 162 ms 20388 KB Output is correct
6 Correct 194 ms 19668 KB Output is correct

Subtask #6
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10588 KB Output is correct
2 Correct 2 ms 10676 KB Output is correct
3 Correct 3 ms 10584 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 2 ms 10736 KB Output is correct
7 Correct 3 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10588 KB Output is correct
11 Correct 4 ms 10588 KB Output is correct
12 Correct 3 ms 10584 KB Output is correct
13 Correct 4 ms 10844 KB Output is correct
14 Correct 4 ms 10844 KB Output is correct
15 Correct 5 ms 10844 KB Output is correct
16 Correct 4 ms 10844 KB Output is correct
17 Correct 4 ms 10844 KB Output is correct
18 Correct 4 ms 10844 KB Output is correct
19 Correct 4 ms 10840 KB Output is correct
20 Correct 166 ms 19456 KB Output is correct
21 Correct 182 ms 21588 KB Output is correct
22 Correct 94 ms 17084 KB Output is correct
23 Correct 179 ms 19480 KB Output is correct
24 Correct 162 ms 20388 KB Output is correct
25 Correct 194 ms 19668 KB Output is correct
26 Correct 195 ms 21796 KB Output is correct
27 Correct 167 ms 23580 KB Output is correct
28 Correct 162 ms 23984 KB Output is correct
29 Correct 115 ms 19364 KB Output is correct
30 Correct 164 ms 21944 KB Output is correct
31 Correct 197 ms 20252 KB Output is correct
32 Correct 180 ms 22868 KB Output is correct
33 Correct 192 ms 21912 KB Output is correct
34 Correct 92 ms 19056 KB Output is correct
35 Correct 214 ms 21860 KB Output is correct
36 Correct 163 ms 23956 KB Output is correct