oj.uz

Submission #522401

# Submission time Handle Problem Language Result Execution time Memory
522401 2022-02-04T21:01:49 Z lukameladze Designated Cities (JOI19_designated_cities) C++14
100 / 100
 826 ms 76072 KB 
# include <bits/stdc++.h>
#define f first
#define s second
#define pb push_back
#define int long long
#define pii pair <int, int>
using namespace std;
const int N = 3e5 + 5;
int t,n,a[N],in[N],out[N],lv[N],sum,tin,b[N],c[N],d[N],up[N],vert,ver[N];
int fix[N],par[N];
int ans[N];

vector <pair <int , pii > > v[N];
struct nod{
    int idx;
    int mx;
};
nod tree[4*N],emp;
int lazy[4*N]; 
nod merge(nod a, nod b) {
    if (a.mx >= b.mx) return a;
    else return b;
}
void build(int node, int le, int ri) {
    lazy[node] = 0;
    if (le == ri) {
        tree[node].idx = le;
        tree[node].mx = 0;
        return ;
    }
    int mid = (le + ri) / 2;
    build(2*node,le,mid);
    build(2*node + 1, mid + 1, ri);
    tree[node] = merge(tree[2*node], tree[2*node + 1]);
}
void update(int node,int le,int ri,int start,int end,int val) {
	if(lazy[node]) {
		tree[node].mx += lazy[node];
		if(le != ri) {
			lazy[2*node] += lazy[node];
			lazy[2*node+1] += lazy[node];
		}
		lazy[node]=0;
	}
	if(le>end || ri<start) 
	return;
	if(start <= le && ri <= end) {
		tree[node].mx += val;
		if(le != ri) {
			lazy[2*node] += val;
			lazy[2*node+1] += val;
		}
		return;
	}
	int mid = (le + ri) / 2;
	update(2*node,le,mid,start,end,val);
	update(2*node+1,mid+1,ri,start,end,val);
	tree[node] = merge(tree[2*node], tree[2*node+1]);
}
nod getans(int node,int le,int ri,int start,int end) {
	if(lazy[node]) {
		tree[node].mx += lazy[node];
		if(le != ri) {
			lazy[2*node] += lazy[node];
			lazy[2*node+1] += lazy[node];
		}
		lazy[node] = 0;
	}
	if(le > end || ri < start) return emp;
	if(start <= le && ri <= end) {
		return tree[node];
	}
	int mid=( le + ri) / 2;
	return merge(getans(2*node,le,mid,start,end), getans(2*node+1,mid+1,ri,start,end));
}
void dfs(int a, int p,int cost, int cost1) {
    tin++;
    in[a] = tin;
    ver[in[a]] = a;
    //rootidan a shi rom chamoxvide
    par[a] = p;
    up[a] = cost;
    sum += cost;
    lv[a] = lv[p] + cost;
    if (vert) {
        if (v[a].size() == 1 && a != vert) {
            //if (a == 2) cout<<lv[a]<<endl<<endl<<endl;
           // cout<<a<<" "<<in[a]<<" "<<lv[a]<<endl;
            update(1,1,n,in[a],in[a],lv[a]);
        }
    } else
    update(1,1,n,in[a],in[a],lv[a]);
    for (int i = 0; i < v[a].size(); i++) {
        int to = v[a][i].f; int froma = v[a][i].s.f;  int fromto = v[a][i].s.s;
        if (to == p) continue;
        //if (to == 1 && vert) cout<<"asd"<<endl;
        dfs(to,a,froma,fromto);
    }
    out[a] = tin;
}
void dfs1(int a, int p) {
    ans[1] = min(ans[1], sum);
    if (ans[2] > sum - getans(1,1,n,1,n).mx) {
        vert = a;
        ans[2] = min(ans[2],sum - getans(1,1,n,1,n).mx);
    }
    for (int i = 0; i < v[a].size(); i++) {
        int to = v[a][i].f; int froma = v[a][i].s.f; int fromto = v[a][i].s.s;
        if (to == p) continue;
        sum -= froma; sum += fromto;
        update(1,1,n,in[to], out[to],-froma);
        update(1,1,n,1,in[to] - 1, fromto);
        update(1,1,n,out[to] + 1, n, fromto);
        dfs1(to,a);
        sum += froma; sum -= fromto;
        update(1,1,n,in[to], out[to], froma);
        update(1,1,n,1,in[to] - 1, -fromto);
        update(1,1,n,out[to] + 1, n, -fromto);
    }
}
main() {
	std::ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
  #define  endl '\n'
	emp = {0,0};
	cin>>n;
	for (int i = 1; i <= n - 1; i++) {
	    cin>>a[i]>>b[i]>>c[i]>>d[i];
	    v[a[i]].pb({b[i],{c[i],d[i]}});
	    v[b[i]].pb({a[i],{d[i],c[i]}});
	}
	ans[2] = ans[1] = 1e15;
	build(1,1,n);
	dfs(1,0,0,0);// cout<<sum<<endl;
	//cout<<getans(1,1,n,1,n)<<endl;
	dfs1(1,0);
	//cout<<ans[1]<<endl;
	//cout<<ans[2]<<endl;
	sum = 0;
	tin = 0;
	build(1,1,n);
	//cout<<vert<<endl;
	dfs(vert,0,0,0);
	
	for (int i = 2; i <= n; i++) {
	    int x = getans(1,1,n,1,n).mx;
	    int idx = ver[getans(1,1,n,1,n).idx];
	    //cout<<i<<"         "<<idx<<" "<<x<<endl;
	    sum -= x;
	    while (!fix[idx] && idx != vert) {
	        update(1,1,n,in[idx], out[idx], -up[idx]);
	        fix[idx] = 1;
	        idx = par[idx];
	    }
	    ans[i] = sum;
	   // cout<<ans[i]<<endl;
	}int q;cin>>q;
	while (q--) {
	    int x;
	    cin>>x;
	    cout<<ans[x]<<endl;
	}
}

/*
15
14 5 12 7
14 12 6 5
14 10 14 16
9 14 16 12
13 7 4 15
1 3 8 1
6 7 15 13
15 4 4 6
9 1 12 6
13 1 7 6
13 4 5 15
2 6 11 19
8 4 12 7
13 11 14 5
13
1
2
3
4
5
6
7
8
9
10
11
12
13
*/

Compilation message

designated_cities.cpp: In function 'void dfs(long long int, long long int, long long int, long long int)':
designated_cities.cpp:93:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, std::pair<long long int, long long int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |     for (int i = 0; i < v[a].size(); i++) {
      |                     ~~^~~~~~~~~~~~~
designated_cities.cpp: In function 'void dfs1(long long int, long long int)':
designated_cities.cpp:107:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, std::pair<long long int, long long int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |     for (int i = 0; i < v[a].size(); i++) {
      |                     ~~^~~~~~~~~~~~~
designated_cities.cpp: At global scope:
designated_cities.cpp:121:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  121 | main() {
      | ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7372 KB Output is correct
3 Correct 4 ms 7376 KB Output is correct
4 Correct 4 ms 7384 KB Output is correct
5 Correct 4 ms 7384 KB Output is correct
6 Correct 6 ms 7372 KB Output is correct
7 Correct 5 ms 7372 KB Output is correct
8 Correct 5 ms 7384 KB Output is correct
9 Correct 6 ms 7380 KB Output is correct
10 Correct 4 ms 7372 KB Output is correct
11 Correct 4 ms 7384 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7372 KB Output is correct
2 Correct 782 ms 57928 KB Output is correct
3 Correct 794 ms 73340 KB Output is correct
4 Correct 785 ms 56624 KB Output is correct
5 Correct 769 ms 57684 KB Output is correct
6 Correct 782 ms 60344 KB Output is correct
7 Correct 750 ms 56776 KB Output is correct
8 Correct 778 ms 73840 KB Output is correct
9 Correct 655 ms 55880 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7372 KB Output is correct
2 Correct 815 ms 57964 KB Output is correct
3 Correct 618 ms 75856 KB Output is correct
4 Correct 745 ms 56636 KB Output is correct
5 Correct 724 ms 57812 KB Output is correct
6 Correct 745 ms 60660 KB Output is correct
7 Correct 696 ms 55896 KB Output is correct
8 Correct 814 ms 68120 KB Output is correct
9 Correct 650 ms 55544 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7372 KB Output is correct
3 Correct 4 ms 7376 KB Output is correct
4 Correct 4 ms 7384 KB Output is correct
5 Correct 4 ms 7384 KB Output is correct
6 Correct 6 ms 7372 KB Output is correct
7 Correct 5 ms 7372 KB Output is correct
8 Correct 5 ms 7384 KB Output is correct
9 Correct 6 ms 7380 KB Output is correct
10 Correct 4 ms 7372 KB Output is correct
11 Correct 4 ms 7384 KB Output is correct
12 Correct 4 ms 7372 KB Output is correct
13 Correct 8 ms 7904 KB Output is correct
14 Correct 10 ms 8080 KB Output is correct
15 Correct 8 ms 7884 KB Output is correct
16 Correct 8 ms 7864 KB Output is correct
17 Correct 8 ms 7864 KB Output is correct
18 Correct 8 ms 7884 KB Output is correct
19 Correct 10 ms 7904 KB Output is correct
20 Correct 8 ms 7896 KB Output is correct
21 Correct 9 ms 7872 KB Output is correct
22 Correct 8 ms 7896 KB Output is correct
23 Correct 8 ms 7904 KB Output is correct
24 Correct 8 ms 7896 KB Output is correct
25 Correct 10 ms 8004 KB Output is correct
26 Correct 8 ms 7900 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7372 KB Output is correct
2 Correct 782 ms 57928 KB Output is correct
3 Correct 794 ms 73340 KB Output is correct
4 Correct 785 ms 56624 KB Output is correct
5 Correct 769 ms 57684 KB Output is correct
6 Correct 782 ms 60344 KB Output is correct
7 Correct 750 ms 56776 KB Output is correct
8 Correct 778 ms 73840 KB Output is correct
9 Correct 655 ms 55880 KB Output is correct
10 Correct 4 ms 7372 KB Output is correct
11 Correct 815 ms 57964 KB Output is correct
12 Correct 618 ms 75856 KB Output is correct
13 Correct 745 ms 56636 KB Output is correct
14 Correct 724 ms 57812 KB Output is correct
15 Correct 745 ms 60660 KB Output is correct
16 Correct 696 ms 55896 KB Output is correct
17 Correct 814 ms 68120 KB Output is correct
18 Correct 650 ms 55544 KB Output is correct
19 Correct 4 ms 7384 KB Output is correct
20 Correct 744 ms 58160 KB Output is correct
21 Correct 739 ms 76072 KB Output is correct
22 Correct 686 ms 56572 KB Output is correct
23 Correct 729 ms 58300 KB Output is correct
24 Correct 715 ms 57028 KB Output is correct
25 Correct 728 ms 58308 KB Output is correct
26 Correct 745 ms 57016 KB Output is correct
27 Correct 710 ms 57728 KB Output is correct
28 Correct 755 ms 60228 KB Output is correct
29 Correct 718 ms 58564 KB Output is correct
30 Correct 749 ms 56640 KB Output is correct
31 Correct 728 ms 56576 KB Output is correct
32 Correct 790 ms 68888 KB Output is correct
33 Correct 655 ms 55924 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7372 KB Output is correct
3 Correct 4 ms 7376 KB Output is correct
4 Correct 4 ms 7384 KB Output is correct
5 Correct 4 ms 7384 KB Output is correct
6 Correct 6 ms 7372 KB Output is correct
7 Correct 5 ms 7372 KB Output is correct
8 Correct 5 ms 7384 KB Output is correct
9 Correct 6 ms 7380 KB Output is correct
10 Correct 4 ms 7372 KB Output is correct
11 Correct 4 ms 7384 KB Output is correct
12 Correct 4 ms 7372 KB Output is correct
13 Correct 782 ms 57928 KB Output is correct
14 Correct 794 ms 73340 KB Output is correct
15 Correct 785 ms 56624 KB Output is correct
16 Correct 769 ms 57684 KB Output is correct
17 Correct 782 ms 60344 KB Output is correct
18 Correct 750 ms 56776 KB Output is correct
19 Correct 778 ms 73840 KB Output is correct
20 Correct 655 ms 55880 KB Output is correct
21 Correct 4 ms 7372 KB Output is correct
22 Correct 815 ms 57964 KB Output is correct
23 Correct 618 ms 75856 KB Output is correct
24 Correct 745 ms 56636 KB Output is correct
25 Correct 724 ms 57812 KB Output is correct
26 Correct 745 ms 60660 KB Output is correct
27 Correct 696 ms 55896 KB Output is correct
28 Correct 814 ms 68120 KB Output is correct
29 Correct 650 ms 55544 KB Output is correct
30 Correct 4 ms 7372 KB Output is correct
31 Correct 8 ms 7904 KB Output is correct
32 Correct 10 ms 8080 KB Output is correct
33 Correct 8 ms 7884 KB Output is correct
34 Correct 8 ms 7864 KB Output is correct
35 Correct 8 ms 7864 KB Output is correct
36 Correct 8 ms 7884 KB Output is correct
37 Correct 10 ms 7904 KB Output is correct
38 Correct 8 ms 7896 KB Output is correct
39 Correct 9 ms 7872 KB Output is correct
40 Correct 8 ms 7896 KB Output is correct
41 Correct 8 ms 7904 KB Output is correct
42 Correct 8 ms 7896 KB Output is correct
43 Correct 10 ms 8004 KB Output is correct
44 Correct 8 ms 7900 KB Output is correct
45 Correct 4 ms 7384 KB Output is correct
46 Correct 744 ms 58160 KB Output is correct
47 Correct 739 ms 76072 KB Output is correct
48 Correct 686 ms 56572 KB Output is correct
49 Correct 729 ms 58300 KB Output is correct
50 Correct 715 ms 57028 KB Output is correct
51 Correct 728 ms 58308 KB Output is correct
52 Correct 745 ms 57016 KB Output is correct
53 Correct 710 ms 57728 KB Output is correct
54 Correct 755 ms 60228 KB Output is correct
55 Correct 718 ms 58564 KB Output is correct
56 Correct 749 ms 56640 KB Output is correct
57 Correct 728 ms 56576 KB Output is correct
58 Correct 790 ms 68888 KB Output is correct
59 Correct 655 ms 55924 KB Output is correct
60 Correct 4 ms 7372 KB Output is correct
61 Correct 779 ms 60756 KB Output is correct
62 Correct 676 ms 75124 KB Output is correct
63 Correct 760 ms 59340 KB Output is correct
64 Correct 813 ms 60920 KB Output is correct
65 Correct 770 ms 59496 KB Output is correct
66 Correct 763 ms 60860 KB Output is correct
67 Correct 826 ms 59608 KB Output is correct
68 Correct 778 ms 60644 KB Output is correct
69 Correct 824 ms 62788 KB Output is correct
70 Correct 761 ms 61252 KB Output is correct
71 Correct 747 ms 59344 KB Output is correct
72 Correct 722 ms 60104 KB Output is correct
73 Correct 810 ms 69552 KB Output is correct
74 Correct 700 ms 60176 KB Output is correct