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Submission #470465

# Submission time Handle Problem Language Result Execution time Memory
470465 2021-09-04T00:03:47 Z humbertoyusta Fireworks (APIO16_fireworks) C++14
100 / 100
 552 ms 148420 KB 
#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast","unroll-loops","omit-frame-pointer","inline","03") // Pragma, Optimization flags
#define db(x) cerr << #x << ": " << (x) << '\n';
#define f first
#define s second
typedef long double ld;
typedef long long ll;
/// Constraints----------------------------------------------
const int maxn = 600010;
const int mod2 = 1000000007;
const int mod = 998244353;
const ld eps = 1e-9;
const ll INF = 1ll * mod * mod;
/// Quick Functions------------------------------------------
int qpow(int b,int e){
    if( !e ) return 1;
    if( e & 1 ) return 1ll * qpow(b,e-1) * b % mod;
    int pwur = qpow(b,e>>1);
    return 1ll * pwur * pwur % mod;
}
mt19937_64 random_(time(0));
int rng (int a, int b){
    return uniform_int_distribution<int>(a,b)(random_);
}
/// Code-----------------------------------------------------

struct plf{
    ll m0, n0, offset;
    multiset<ll> s;
    plf(){
        m0 = n0 = offset = 0;
        s.clear();
    }
};

int p[maxn], pedge[maxn];
vector<pair<int,int>> g[maxn];
int n, m;
plf dp[maxn];

ll getmin(int x){
    ll curr = dp[x].m0 * (*dp[x].s.begin()+dp[x].offset) + dp[x].n0;
    ll ans = INF;
    //if( (*dp[x].s.begin()) + dp[x].offset >= 0 )
        ans = min( ans , curr );

    vector<ll> v;
    for( auto i : dp[x].s )
        v.push_back(i);

//    db(dp[x].m0)
//    db(dp[x].n0)
//    db(v[0])
    for(int i=1; i<v.size(); i++){
//        if( v[i] > 0 && v[i-1] <= 0 ){
//            ans = min( ans , curr + ( dp[x].m0 + ( i ) ) * ( 0 - v[i-1] ) );
//        }
        curr = curr + ( dp[x].m0 + ( i ) ) * ( v[i] - v[i-1] );
//        db(v[i])
        //if( v[i] + dp[x].offset >= 0 )
            ans = min( ans , curr );
    }

    return ans;
}

void dfs(int u){

    dp[u] = plf();

    if( g[u].size() == 0 ) return;

    for( auto v : g[u] ){

        dfs(v.f);

        if( v.f > n ){
            dp[v.f].m0 = -1;
            dp[v.f].n0 = 0;
            dp[v.f].s.insert(0);
            dp[v.f].s.insert(0);

            //cout << v.f << ' ' << getmin(v.f) << '\n';
        }

        dp[v.f].offset += v.s;
        dp[v.f].n0 -= dp[v.f].m0 * v.s;

        dp[u].m0 += dp[v.f].m0;
        dp[u].n0 += dp[v.f].n0;
        if( dp[u].s.size() < dp[v.f].s.size() ){
            swap( dp[u].s , dp[v.f].s );
            swap( dp[u].offset , dp[v.f].offset );
        }
        for( auto i : dp[v.f].s )
            dp[u].s.insert(i+dp[v.f].offset-dp[u].offset);
    }

    //cout << u << ' ' << getmin(u) << '\n';

    while( dp[u].m0 + dp[u].s.size() > 1 ){
        auto it = dp[u].s.end(); it--;
        dp[u].s.erase(it);
    }

    stack<ll> l2;
    for(int i=0; i<2; i++){
        auto it = dp[u].s.end(); it--;
        l2.push(*it+dp[u].offset);
        dp[u].s.erase(it);
    }

    dp[u].offset -= pedge[u];//db(u)db(pedge[u])
    dp[u].n0 += ( dp[u].m0 + 1 ) * ( pedge[u] );
    //dp[u].n0 = pedge[u];

    while( !l2.empty() ){
        dp[u].s.insert(l2.top()-dp[u].offset);
        l2.pop();
    }

    //cout << u << ' ' << getmin(u) << '\n';//db(pedge[u])
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
    cout.setf(ios::fixed); cout.precision(10);

    //freopen("a.in","r",stdin);
    //freopen("a.in","w",stdout);

    cin >> n >> m;

    for(int i=2; i<=n+m; i++){
        cin >> p[i] >> pedge[i];
        g[p[i]].push_back({i,pedge[i]});
    }

    dfs(1);

    cout << getmin(1) << '\n';

    return 0;
}

Compilation message

fireworks.cpp: In function 'll getmin(int)':
fireworks.cpp:55:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |     for(int i=1; i<v.size(); i++){
      |                  ~^~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 56660 KB Output is correct
2 Correct 29 ms 56640 KB Output is correct
3 Correct 30 ms 56708 KB Output is correct
4 Correct 29 ms 56680 KB Output is correct
5 Correct 29 ms 56696 KB Output is correct
6 Correct 30 ms 56604 KB Output is correct
7 Correct 30 ms 56680 KB Output is correct
8 Correct 29 ms 56584 KB Output is correct
9 Correct 29 ms 56668 KB Output is correct
10 Correct 29 ms 56672 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 56612 KB Output is correct
2 Correct 31 ms 56596 KB Output is correct
3 Correct 29 ms 56668 KB Output is correct
4 Correct 31 ms 56652 KB Output is correct
5 Correct 30 ms 56684 KB Output is correct
6 Correct 30 ms 56600 KB Output is correct
7 Correct 29 ms 56692 KB Output is correct
8 Correct 30 ms 56648 KB Output is correct
9 Correct 30 ms 56648 KB Output is correct
10 Correct 30 ms 56604 KB Output is correct
11 Correct 29 ms 56644 KB Output is correct
12 Correct 30 ms 56640 KB Output is correct
13 Correct 29 ms 56680 KB Output is correct
14 Correct 29 ms 56680 KB Output is correct
15 Correct 30 ms 56740 KB Output is correct
16 Correct 29 ms 56684 KB Output is correct
17 Correct 30 ms 56652 KB Output is correct
18 Correct 29 ms 56652 KB Output is correct
19 Correct 29 ms 56728 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 56660 KB Output is correct
2 Correct 29 ms 56640 KB Output is correct
3 Correct 30 ms 56708 KB Output is correct
4 Correct 29 ms 56680 KB Output is correct
5 Correct 29 ms 56696 KB Output is correct
6 Correct 30 ms 56604 KB Output is correct
7 Correct 30 ms 56680 KB Output is correct
8 Correct 29 ms 56584 KB Output is correct
9 Correct 29 ms 56668 KB Output is correct
10 Correct 29 ms 56672 KB Output is correct
11 Correct 29 ms 56612 KB Output is correct
12 Correct 31 ms 56596 KB Output is correct
13 Correct 29 ms 56668 KB Output is correct
14 Correct 31 ms 56652 KB Output is correct
15 Correct 30 ms 56684 KB Output is correct
16 Correct 30 ms 56600 KB Output is correct
17 Correct 29 ms 56692 KB Output is correct
18 Correct 30 ms 56648 KB Output is correct
19 Correct 30 ms 56648 KB Output is correct
20 Correct 30 ms 56604 KB Output is correct
21 Correct 29 ms 56644 KB Output is correct
22 Correct 30 ms 56640 KB Output is correct
23 Correct 29 ms 56680 KB Output is correct
24 Correct 29 ms 56680 KB Output is correct
25 Correct 30 ms 56740 KB Output is correct
26 Correct 29 ms 56684 KB Output is correct
27 Correct 30 ms 56652 KB Output is correct
28 Correct 29 ms 56652 KB Output is correct
29 Correct 29 ms 56728 KB Output is correct
30 Correct 30 ms 56628 KB Output is correct
31 Correct 31 ms 56800 KB Output is correct
32 Correct 31 ms 56908 KB Output is correct
33 Correct 31 ms 56988 KB Output is correct
34 Correct 33 ms 57036 KB Output is correct
35 Correct 32 ms 57096 KB Output is correct
36 Correct 33 ms 57188 KB Output is correct
37 Correct 33 ms 57332 KB Output is correct
38 Correct 34 ms 57356 KB Output is correct
39 Correct 33 ms 57284 KB Output is correct
40 Correct 32 ms 58200 KB Output is correct
41 Correct 33 ms 58156 KB Output is correct
42 Correct 32 ms 56908 KB Output is correct
43 Correct 33 ms 57780 KB Output is correct
44 Correct 34 ms 57700 KB Output is correct
45 Correct 34 ms 57676 KB Output is correct
46 Correct 34 ms 57836 KB Output is correct
47 Correct 34 ms 57780 KB Output is correct
48 Correct 33 ms 57700 KB Output is correct
49 Correct 34 ms 57948 KB Output is correct
50 Correct 33 ms 57536 KB Output is correct
51 Correct 33 ms 57500 KB Output is correct
52 Correct 35 ms 57556 KB Output is correct
53 Correct 34 ms 57652 KB Output is correct
54 Correct 35 ms 57800 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 56660 KB Output is correct
2 Correct 29 ms 56640 KB Output is correct
3 Correct 30 ms 56708 KB Output is correct
4 Correct 29 ms 56680 KB Output is correct
5 Correct 29 ms 56696 KB Output is correct
6 Correct 30 ms 56604 KB Output is correct
7 Correct 30 ms 56680 KB Output is correct
8 Correct 29 ms 56584 KB Output is correct
9 Correct 29 ms 56668 KB Output is correct
10 Correct 29 ms 56672 KB Output is correct
11 Correct 29 ms 56612 KB Output is correct
12 Correct 31 ms 56596 KB Output is correct
13 Correct 29 ms 56668 KB Output is correct
14 Correct 31 ms 56652 KB Output is correct
15 Correct 30 ms 56684 KB Output is correct
16 Correct 30 ms 56600 KB Output is correct
17 Correct 29 ms 56692 KB Output is correct
18 Correct 30 ms 56648 KB Output is correct
19 Correct 30 ms 56648 KB Output is correct
20 Correct 30 ms 56604 KB Output is correct
21 Correct 29 ms 56644 KB Output is correct
22 Correct 30 ms 56640 KB Output is correct
23 Correct 29 ms 56680 KB Output is correct
24 Correct 29 ms 56680 KB Output is correct
25 Correct 30 ms 56740 KB Output is correct
26 Correct 29 ms 56684 KB Output is correct
27 Correct 30 ms 56652 KB Output is correct
28 Correct 29 ms 56652 KB Output is correct
29 Correct 29 ms 56728 KB Output is correct
30 Correct 30 ms 56628 KB Output is correct
31 Correct 31 ms 56800 KB Output is correct
32 Correct 31 ms 56908 KB Output is correct
33 Correct 31 ms 56988 KB Output is correct
34 Correct 33 ms 57036 KB Output is correct
35 Correct 32 ms 57096 KB Output is correct
36 Correct 33 ms 57188 KB Output is correct
37 Correct 33 ms 57332 KB Output is correct
38 Correct 34 ms 57356 KB Output is correct
39 Correct 33 ms 57284 KB Output is correct
40 Correct 32 ms 58200 KB Output is correct
41 Correct 33 ms 58156 KB Output is correct
42 Correct 32 ms 56908 KB Output is correct
43 Correct 33 ms 57780 KB Output is correct
44 Correct 34 ms 57700 KB Output is correct
45 Correct 34 ms 57676 KB Output is correct
46 Correct 34 ms 57836 KB Output is correct
47 Correct 34 ms 57780 KB Output is correct
48 Correct 33 ms 57700 KB Output is correct
49 Correct 34 ms 57948 KB Output is correct
50 Correct 33 ms 57536 KB Output is correct
51 Correct 33 ms 57500 KB Output is correct
52 Correct 35 ms 57556 KB Output is correct
53 Correct 34 ms 57652 KB Output is correct
54 Correct 35 ms 57800 KB Output is correct
55 Correct 39 ms 58484 KB Output is correct
56 Correct 77 ms 63992 KB Output is correct
57 Correct 116 ms 69212 KB Output is correct
58 Correct 145 ms 73104 KB Output is correct
59 Correct 196 ms 78332 KB Output is correct
60 Correct 230 ms 83704 KB Output is correct
61 Correct 282 ms 87740 KB Output is correct
62 Correct 290 ms 91584 KB Output is correct
63 Correct 346 ms 98708 KB Output is correct
64 Correct 372 ms 99512 KB Output is correct
65 Correct 209 ms 148420 KB Output is correct
66 Correct 206 ms 148320 KB Output is correct
67 Correct 198 ms 73668 KB Output is correct
68 Correct 300 ms 129392 KB Output is correct
69 Correct 342 ms 124108 KB Output is correct
70 Correct 348 ms 124068 KB Output is correct
71 Correct 486 ms 139996 KB Output is correct
72 Correct 507 ms 139396 KB Output is correct
73 Correct 511 ms 126664 KB Output is correct
74 Correct 528 ms 126644 KB Output is correct
75 Correct 501 ms 125848 KB Output is correct
76 Correct 503 ms 125876 KB Output is correct
77 Correct 501 ms 123952 KB Output is correct
78 Correct 528 ms 120888 KB Output is correct
79 Correct 552 ms 127280 KB Output is correct