Submission #1119996

# Submission time Handle Problem Language Result Execution time Memory
1119996 2024-11-27T16:32:28 Z yeediot Designated Cities (JOI19_designated_cities) C++17
100 / 100
265 ms 44360 KB
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
 
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
const int mxn=2e5+5;
inline char gc()
{
    const static int SZ = 1 << 16;
    static char buf[SZ], *p1, *p2;
    if (p1 == p2 && (p2 = buf + fread(p1 = buf, 1, SZ, stdin), p1 == p2))
        return -1;
    return *p1++;
}
inline void rd() {}
template <typename T, typename... U>
inline void rd(T &x, U &...y)
{
    x = 0;
    bool f = 0;
    char c = gc();
    while (!isdigit(c))
        f ^= !(c ^ 45), c = gc();
    while (isdigit(c))
        x = (x << 1) + (x << 3) + (c ^ 48), c = gc();
    f && (x = -x), rd(y...);
}
template <typename T>
inline void prt(T x)
{
    if (x < 0)
        putchar('-'), x = -x;
    if (x > 9)
        prt(x / 10);
    putchar((x % 10) ^ 48);
}
vector<tuple<int,int,int>>adj[mxn];
ll dp[mxn][2];
pair<ll,int> dp2[mxn];
ll dep[mxn];
int p1;
void dfs(int v,int pa){
    for(auto [u,d,d2]:adj[v]){
        if(u==pa)continue;
        dp[u][0]+=dp[v][0]+d;
        dep[u]=dep[v]+d;
        dfs(u,v);
        dp[v][1]+=d2+dp[u][1];
    }
}
ll all;
ll ans[mxn];
void calc(int v,int pa){
    ll mx=0;
    dp2[v].F=dep[v];
    dp2[v].S=v;
    int t1=0;
    for(auto [u,d,d2]:adj[v]){
        if(u==pa)continue;
        dp[u][1]+=dp[v][1]-dp[u][1]-d2;
        calc(u,v);
        if(dp2[v].F+dp2[u].F-2*dep[v]>mx){
            t1=dp2[v].S;
            mx=dp2[v].F+dp2[u].F-2*dep[v];
        }
        dp2[v]=max(dp2[v],dp2[u]);
    }
    ans[1]=min(ans[1],all-dp[v][0]-dp[v][1]);
    if(ans[2]>all-dp[v][0]-dp[v][1]-mx){
        p1=t1;
        ans[2]=all-dp[v][0]-dp[v][1]-mx;
    }
}
ll len[mxn];
int idx;
ll dfs2(int v,int pa){
    vector<ll>temp;
    for(auto [u,d,d2]:adj[v]){
        if(u==pa)continue;
        temp.pb(dfs2(u,v)+d);
    }
    if(sz(temp)==0)return 0;
    auto it=max_element(temp.begin(),temp.end());
    for(auto it2=temp.begin();it2!=temp.end();it2++){
        if(it2==it)continue;
        len[idx++]=*it2;
    }
    return *it;
}
signed main(){
    setio();
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    int n;
    rd(n);
    ans[2]=1e18;
    ans[1]=1e18;
    for(int i=1;i<n;i++){
        int a,b,c,d;
        rd(a),rd(b),rd(c),rd(d);
        adj[a].pb({b,c,d});
        adj[b].pb({a,d,c});
        all+=c+d;
    }
    dfs(1,1);
    calc(1,1);
    ll v=dfs2(p1,p1);
    len[idx++]=v;
    sort(len,len+idx,greater<ll>());
    for(int i=1;i<idx;i++){
        ans[2+i]=ans[1+i]-len[i];
    }
    int q;
    rd(q);
    while(q--){
        int x;
        rd(x);
        prt(ans[x]);
        putchar('\n');
    }
}
 /*
 input:
 
 */
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5200 KB Output is correct
2 Correct 5 ms 5192 KB Output is correct
3 Correct 5 ms 5200 KB Output is correct
4 Correct 5 ms 5200 KB Output is correct
5 Correct 4 ms 5200 KB Output is correct
6 Correct 5 ms 5200 KB Output is correct
7 Correct 5 ms 5200 KB Output is correct
8 Correct 6 ms 5200 KB Output is correct
9 Correct 6 ms 5200 KB Output is correct
10 Correct 5 ms 5200 KB Output is correct
11 Correct 5 ms 5200 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5200 KB Output is correct
2 Correct 151 ms 22360 KB Output is correct
3 Correct 204 ms 41032 KB Output is correct
4 Correct 190 ms 24112 KB Output is correct
5 Correct 167 ms 26344 KB Output is correct
6 Correct 186 ms 25416 KB Output is correct
7 Correct 163 ms 27652 KB Output is correct
8 Correct 265 ms 43924 KB Output is correct
9 Correct 102 ms 30396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5200 KB Output is correct
2 Correct 191 ms 25700 KB Output is correct
3 Correct 233 ms 44360 KB Output is correct
4 Correct 194 ms 25160 KB Output is correct
5 Correct 166 ms 23960 KB Output is correct
6 Correct 187 ms 29696 KB Output is correct
7 Correct 87 ms 26328 KB Output is correct
8 Correct 202 ms 35912 KB Output is correct
9 Correct 73 ms 30168 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5200 KB Output is correct
2 Correct 5 ms 5192 KB Output is correct
3 Correct 5 ms 5200 KB Output is correct
4 Correct 5 ms 5200 KB Output is correct
5 Correct 4 ms 5200 KB Output is correct
6 Correct 5 ms 5200 KB Output is correct
7 Correct 5 ms 5200 KB Output is correct
8 Correct 6 ms 5200 KB Output is correct
9 Correct 6 ms 5200 KB Output is correct
10 Correct 5 ms 5200 KB Output is correct
11 Correct 5 ms 5200 KB Output is correct
12 Correct 4 ms 5712 KB Output is correct
13 Correct 4 ms 5968 KB Output is correct
14 Correct 5 ms 5968 KB Output is correct
15 Correct 4 ms 5884 KB Output is correct
16 Correct 4 ms 5968 KB Output is correct
17 Correct 4 ms 5968 KB Output is correct
18 Correct 4 ms 5968 KB Output is correct
19 Correct 4 ms 5952 KB Output is correct
20 Correct 5 ms 5968 KB Output is correct
21 Correct 4 ms 5844 KB Output is correct
22 Correct 4 ms 5968 KB Output is correct
23 Correct 4 ms 5836 KB Output is correct
24 Correct 4 ms 5968 KB Output is correct
25 Correct 4 ms 5968 KB Output is correct
26 Correct 5 ms 5968 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5200 KB Output is correct
2 Correct 151 ms 22360 KB Output is correct
3 Correct 204 ms 41032 KB Output is correct
4 Correct 190 ms 24112 KB Output is correct
5 Correct 167 ms 26344 KB Output is correct
6 Correct 186 ms 25416 KB Output is correct
7 Correct 163 ms 27652 KB Output is correct
8 Correct 265 ms 43924 KB Output is correct
9 Correct 102 ms 30396 KB Output is correct
10 Correct 6 ms 5200 KB Output is correct
11 Correct 191 ms 25700 KB Output is correct
12 Correct 233 ms 44360 KB Output is correct
13 Correct 194 ms 25160 KB Output is correct
14 Correct 166 ms 23960 KB Output is correct
15 Correct 187 ms 29696 KB Output is correct
16 Correct 87 ms 26328 KB Output is correct
17 Correct 202 ms 35912 KB Output is correct
18 Correct 73 ms 30168 KB Output is correct
19 Correct 3 ms 5712 KB Output is correct
20 Correct 133 ms 22440 KB Output is correct
21 Correct 170 ms 41024 KB Output is correct
22 Correct 122 ms 22344 KB Output is correct
23 Correct 148 ms 25988 KB Output is correct
24 Correct 136 ms 25420 KB Output is correct
25 Correct 147 ms 22464 KB Output is correct
26 Correct 160 ms 22600 KB Output is correct
27 Correct 167 ms 22748 KB Output is correct
28 Correct 167 ms 29000 KB Output is correct
29 Correct 150 ms 22340 KB Output is correct
30 Correct 144 ms 26336 KB Output is correct
31 Correct 106 ms 24316 KB Output is correct
32 Correct 195 ms 36356 KB Output is correct
33 Correct 88 ms 30428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5200 KB Output is correct
2 Correct 5 ms 5192 KB Output is correct
3 Correct 5 ms 5200 KB Output is correct
4 Correct 5 ms 5200 KB Output is correct
5 Correct 4 ms 5200 KB Output is correct
6 Correct 5 ms 5200 KB Output is correct
7 Correct 5 ms 5200 KB Output is correct
8 Correct 6 ms 5200 KB Output is correct
9 Correct 6 ms 5200 KB Output is correct
10 Correct 5 ms 5200 KB Output is correct
11 Correct 5 ms 5200 KB Output is correct
12 Correct 5 ms 5200 KB Output is correct
13 Correct 151 ms 22360 KB Output is correct
14 Correct 204 ms 41032 KB Output is correct
15 Correct 190 ms 24112 KB Output is correct
16 Correct 167 ms 26344 KB Output is correct
17 Correct 186 ms 25416 KB Output is correct
18 Correct 163 ms 27652 KB Output is correct
19 Correct 265 ms 43924 KB Output is correct
20 Correct 102 ms 30396 KB Output is correct
21 Correct 6 ms 5200 KB Output is correct
22 Correct 191 ms 25700 KB Output is correct
23 Correct 233 ms 44360 KB Output is correct
24 Correct 194 ms 25160 KB Output is correct
25 Correct 166 ms 23960 KB Output is correct
26 Correct 187 ms 29696 KB Output is correct
27 Correct 87 ms 26328 KB Output is correct
28 Correct 202 ms 35912 KB Output is correct
29 Correct 73 ms 30168 KB Output is correct
30 Correct 4 ms 5712 KB Output is correct
31 Correct 4 ms 5968 KB Output is correct
32 Correct 5 ms 5968 KB Output is correct
33 Correct 4 ms 5884 KB Output is correct
34 Correct 4 ms 5968 KB Output is correct
35 Correct 4 ms 5968 KB Output is correct
36 Correct 4 ms 5968 KB Output is correct
37 Correct 4 ms 5952 KB Output is correct
38 Correct 5 ms 5968 KB Output is correct
39 Correct 4 ms 5844 KB Output is correct
40 Correct 4 ms 5968 KB Output is correct
41 Correct 4 ms 5836 KB Output is correct
42 Correct 4 ms 5968 KB Output is correct
43 Correct 4 ms 5968 KB Output is correct
44 Correct 5 ms 5968 KB Output is correct
45 Correct 3 ms 5712 KB Output is correct
46 Correct 133 ms 22440 KB Output is correct
47 Correct 170 ms 41024 KB Output is correct
48 Correct 122 ms 22344 KB Output is correct
49 Correct 148 ms 25988 KB Output is correct
50 Correct 136 ms 25420 KB Output is correct
51 Correct 147 ms 22464 KB Output is correct
52 Correct 160 ms 22600 KB Output is correct
53 Correct 167 ms 22748 KB Output is correct
54 Correct 167 ms 29000 KB Output is correct
55 Correct 150 ms 22340 KB Output is correct
56 Correct 144 ms 26336 KB Output is correct
57 Correct 106 ms 24316 KB Output is correct
58 Correct 195 ms 36356 KB Output is correct
59 Correct 88 ms 30428 KB Output is correct
60 Correct 5 ms 5200 KB Output is correct
61 Correct 200 ms 28116 KB Output is correct
62 Correct 225 ms 41544 KB Output is correct
63 Correct 163 ms 23856 KB Output is correct
64 Correct 181 ms 27976 KB Output is correct
65 Correct 169 ms 23784 KB Output is correct
66 Correct 199 ms 23880 KB Output is correct
67 Correct 168 ms 27224 KB Output is correct
68 Correct 182 ms 24240 KB Output is correct
69 Correct 218 ms 27032 KB Output is correct
70 Correct 139 ms 23368 KB Output is correct
71 Correct 157 ms 28372 KB Output is correct
72 Correct 131 ms 26232 KB Output is correct
73 Correct 186 ms 37700 KB Output is correct
74 Correct 91 ms 29668 KB Output is correct