Submission #1119994

# Submission time Handle Problem Language Result Execution time Memory
1119994 2024-11-27T16:31:30 Z yeediot Designated Cities (JOI19_designated_cities) C++17
100 / 100
257 ms 49108 KB
#pragma GCC optimize("O2")
#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 5 ms 5200 KB Output is correct
2 Correct 5 ms 5204 KB Output is correct
3 Correct 4 ms 5204 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 4 ms 5204 KB Output is correct
6 Correct 5 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 5 ms 5368 KB Output is correct
11 Correct 5 ms 5204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5200 KB Output is correct
2 Correct 153 ms 28776 KB Output is correct
3 Correct 241 ms 47636 KB Output is correct
4 Correct 174 ms 27544 KB Output is correct
5 Correct 164 ms 29420 KB Output is correct
6 Correct 218 ms 31808 KB Output is correct
7 Correct 144 ms 30392 KB Output is correct
8 Correct 235 ms 46924 KB Output is correct
9 Correct 97 ms 33184 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5200 KB Output is correct
2 Correct 153 ms 28860 KB Output is correct
3 Correct 214 ms 47536 KB Output is correct
4 Correct 139 ms 27524 KB Output is correct
5 Correct 165 ms 29500 KB Output is correct
6 Correct 165 ms 32620 KB Output is correct
7 Correct 110 ms 32624 KB Output is correct
8 Correct 255 ms 42168 KB Output is correct
9 Correct 105 ms 32760 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5200 KB Output is correct
2 Correct 5 ms 5204 KB Output is correct
3 Correct 4 ms 5204 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 4 ms 5204 KB Output is correct
6 Correct 5 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 5 ms 5368 KB Output is correct
11 Correct 5 ms 5204 KB Output is correct
12 Correct 4 ms 5024 KB Output is correct
13 Correct 5 ms 5460 KB Output is correct
14 Correct 6 ms 5460 KB Output is correct
15 Correct 6 ms 5460 KB Output is correct
16 Correct 5 ms 5460 KB Output is correct
17 Correct 5 ms 5460 KB Output is correct
18 Correct 5 ms 5360 KB Output is correct
19 Correct 5 ms 5716 KB Output is correct
20 Correct 5 ms 5412 KB Output is correct
21 Correct 4 ms 5460 KB Output is correct
22 Correct 5 ms 5460 KB Output is correct
23 Correct 5 ms 5460 KB Output is correct
24 Correct 5 ms 5460 KB Output is correct
25 Correct 5 ms 5472 KB Output is correct
26 Correct 5 ms 5460 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5200 KB Output is correct
2 Correct 153 ms 28776 KB Output is correct
3 Correct 241 ms 47636 KB Output is correct
4 Correct 174 ms 27544 KB Output is correct
5 Correct 164 ms 29420 KB Output is correct
6 Correct 218 ms 31808 KB Output is correct
7 Correct 144 ms 30392 KB Output is correct
8 Correct 235 ms 46924 KB Output is correct
9 Correct 97 ms 33184 KB Output is correct
10 Correct 4 ms 5200 KB Output is correct
11 Correct 153 ms 28860 KB Output is correct
12 Correct 214 ms 47536 KB Output is correct
13 Correct 139 ms 27524 KB Output is correct
14 Correct 165 ms 29500 KB Output is correct
15 Correct 165 ms 32620 KB Output is correct
16 Correct 110 ms 32624 KB Output is correct
17 Correct 255 ms 42168 KB Output is correct
18 Correct 105 ms 32760 KB Output is correct
19 Correct 5 ms 5172 KB Output is correct
20 Correct 148 ms 29004 KB Output is correct
21 Correct 228 ms 47436 KB Output is correct
22 Correct 145 ms 27468 KB Output is correct
23 Correct 148 ms 29040 KB Output is correct
24 Correct 133 ms 27820 KB Output is correct
25 Correct 188 ms 28784 KB Output is correct
26 Correct 170 ms 27828 KB Output is correct
27 Correct 162 ms 29044 KB Output is correct
28 Correct 159 ms 32068 KB Output is correct
29 Correct 184 ms 28748 KB Output is correct
30 Correct 168 ms 28704 KB Output is correct
31 Correct 159 ms 30720 KB Output is correct
32 Correct 222 ms 42820 KB Output is correct
33 Correct 105 ms 33144 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 5200 KB Output is correct
2 Correct 5 ms 5204 KB Output is correct
3 Correct 4 ms 5204 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 4 ms 5204 KB Output is correct
6 Correct 5 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 5 ms 5368 KB Output is correct
11 Correct 5 ms 5204 KB Output is correct
12 Correct 5 ms 5200 KB Output is correct
13 Correct 153 ms 28776 KB Output is correct
14 Correct 241 ms 47636 KB Output is correct
15 Correct 174 ms 27544 KB Output is correct
16 Correct 164 ms 29420 KB Output is correct
17 Correct 218 ms 31808 KB Output is correct
18 Correct 144 ms 30392 KB Output is correct
19 Correct 235 ms 46924 KB Output is correct
20 Correct 97 ms 33184 KB Output is correct
21 Correct 4 ms 5200 KB Output is correct
22 Correct 153 ms 28860 KB Output is correct
23 Correct 214 ms 47536 KB Output is correct
24 Correct 139 ms 27524 KB Output is correct
25 Correct 165 ms 29500 KB Output is correct
26 Correct 165 ms 32620 KB Output is correct
27 Correct 110 ms 32624 KB Output is correct
28 Correct 255 ms 42168 KB Output is correct
29 Correct 105 ms 32760 KB Output is correct
30 Correct 4 ms 5024 KB Output is correct
31 Correct 5 ms 5460 KB Output is correct
32 Correct 6 ms 5460 KB Output is correct
33 Correct 6 ms 5460 KB Output is correct
34 Correct 5 ms 5460 KB Output is correct
35 Correct 5 ms 5460 KB Output is correct
36 Correct 5 ms 5360 KB Output is correct
37 Correct 5 ms 5716 KB Output is correct
38 Correct 5 ms 5412 KB Output is correct
39 Correct 4 ms 5460 KB Output is correct
40 Correct 5 ms 5460 KB Output is correct
41 Correct 5 ms 5460 KB Output is correct
42 Correct 5 ms 5460 KB Output is correct
43 Correct 5 ms 5472 KB Output is correct
44 Correct 5 ms 5460 KB Output is correct
45 Correct 5 ms 5172 KB Output is correct
46 Correct 148 ms 29004 KB Output is correct
47 Correct 228 ms 47436 KB Output is correct
48 Correct 145 ms 27468 KB Output is correct
49 Correct 148 ms 29040 KB Output is correct
50 Correct 133 ms 27820 KB Output is correct
51 Correct 188 ms 28784 KB Output is correct
52 Correct 170 ms 27828 KB Output is correct
53 Correct 162 ms 29044 KB Output is correct
54 Correct 159 ms 32068 KB Output is correct
55 Correct 184 ms 28748 KB Output is correct
56 Correct 168 ms 28704 KB Output is correct
57 Correct 159 ms 30720 KB Output is correct
58 Correct 222 ms 42820 KB Output is correct
59 Correct 105 ms 33144 KB Output is correct
60 Correct 4 ms 5204 KB Output is correct
61 Correct 190 ms 31564 KB Output is correct
62 Correct 254 ms 49108 KB Output is correct
63 Correct 183 ms 30284 KB Output is correct
64 Correct 201 ms 31700 KB Output is correct
65 Correct 168 ms 30284 KB Output is correct
66 Correct 174 ms 31560 KB Output is correct
67 Correct 164 ms 30284 KB Output is correct
68 Correct 154 ms 31824 KB Output is correct
69 Correct 143 ms 34652 KB Output is correct
70 Correct 223 ms 31036 KB Output is correct
71 Correct 193 ms 31712 KB Output is correct
72 Correct 163 ms 33916 KB Output is correct
73 Correct 257 ms 44916 KB Output is correct
74 Correct 134 ms 37592 KB Output is correct