oj.uz

Submission #470813

# Submission time Handle Problem Language Result Execution time Memory
470813 2021-09-05T20:09:05 Z MarcoMeijer Fireworks (APIO16_fireworks) C++14
26 / 100
 2000 ms 47420 KB 
#include <bits/stdc++.h>
using namespace std;
 
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
 
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
 
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
 
// dp
template<class T> bool ckmin(T&a, T&b) { bool bl = a > b; a = min(a,b); return bl;}
template<class T> bool ckmax(T&a, T&b) { bool bl = a < b; a = max(a,b); return bl;}
 
void program();
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    program();
}
 
 
//===================//
//   begin program   //
//===================//
 
const int MX = 5e5;
const int N = (1<<20);

int n, m;
int p[MX], c[MX];
vi chl[MX];

struct Func {
    ll y = 0, delta = 0, shift = 0;
    multiset<ll> ms;
};

Func combine(Func& a, Func& b) {
    Func res;
    res.y = a.y + b.y;
    res.delta = a.delta + b.delta;
    if(a.ms.size() > b.ms.size()) {
        swap(a.ms,res.ms);
        FOR(x,b.ms)
            res.ms.insert(x + b.shift - a.shift);
    } else {
        swap(b.ms,res.ms);
        FOR(x,a.ms)
            res.ms.insert(x + a.shift - b.shift);
    }

    return res;
}
void shiftLeft(Func& f, ll x) {
    ll cx = 0;
    ll delta = f.delta;
    while(!f.ms.empty() && *(f.ms.begin()) + f.shift <= x) {
        ll nx = *(f.ms.begin()) + f.shift;
        f.y += (nx-cx)*delta;
        delta++;
        cx = nx;
    }
    f.y += (x-cx)*delta;
    f.shift -= x;
}
ll computeMin(Func& f) {
    ll v = f.y;
    ll delta = f.delta;
    ll lx = 0;
    FOR(i,f.ms) {
        ll cx = i + f.shift;
        if(cx >= 0) {
            v += delta*(cx-lx);
            lx = cx;
        }
        delta++;
        if(delta == 0)
            return v;
    }
    return v;
}
ll computePos(Func& f, ll x) {
    ll v = f.y;
    ll delta = f.delta;
    ll lx = 0;
    FOR(i,f.ms) {
        ll cx = i + f.shift;
        if(cx >= x) {
            v += delta*(x-lx);
            return v;
        }
        if(cx >= 0) {
            v += delta*(cx-lx);
            lx = cx;
        }
        delta++;
    }
    v += delta*(x-lx);
    return v;
}

Func f[MX];

void program() {
    IN(n,m);
    p[1] = 0, c[1] = 0;
    REP(u,2,n+m+1) IN(p[u],c[u]);
    n += m;
    RE1(u,n) chl[p[u]].pb(u);


    REV(u,1,n+1) {
        if(chl[u].empty()) {
            // base case
            f[u].y = c[u];
            f[u].delta = -1;
            f[u].shift = 0;
            f[u].ms.insert(c[u]);
            f[u].ms.insert(c[u]);
        } else {
            FOR(v,chl[u])
                f[u] = combine(f[u], f[v]);

            // move graph to right
            f[u].shift += c[u];
            f[u].y     -= f[u].delta*c[u];

            // remove slopes bigger then 1
            while(f[u].delta + f[u].ms.size() > 1) {
                f[u].ms.erase(--f[u].ms.end());
            }
            assert(f[u].delta + f[u].ms.size() == 1);

            // remember positions op last two elements
            int x2 = *(--f[u].ms.end()) + f[u].shift; f[u].ms.erase(--f[u].ms.end()); // delta 1
            int x1 = *(--f[u].ms.end()) + f[u].shift; f[u].ms.erase(--f[u].ms.end()); // delta 0

            // shift graph to left
            shiftLeft(f[u],c[u]);
            f[u].y += c[u];

            // reinsert last two elements
            f[u].ms.insert(x1 - f[u].shift);
            f[u].ms.insert(x2 - f[u].shift);
        }

    }

    OUTL(computeMin(f[1]));
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 47180 KB Output is correct
2 Correct 25 ms 47240 KB Output is correct
3 Correct 24 ms 47236 KB Output is correct
4 Correct 24 ms 47288 KB Output is correct
5 Correct 25 ms 47196 KB Output is correct
6 Correct 27 ms 47300 KB Output is correct
7 Correct 24 ms 47260 KB Output is correct
8 Correct 25 ms 47308 KB Output is correct
9 Correct 25 ms 47312 KB Output is correct
10 Correct 24 ms 47204 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 47232 KB Output is correct
2 Correct 24 ms 47192 KB Output is correct
3 Correct 24 ms 47180 KB Output is correct
4 Correct 26 ms 47308 KB Output is correct
5 Correct 25 ms 47420 KB Output is correct
6 Correct 24 ms 47216 KB Output is correct
7 Correct 25 ms 47204 KB Output is correct
8 Correct 25 ms 47180 KB Output is correct
9 Correct 24 ms 47264 KB Output is correct
10 Correct 24 ms 47308 KB Output is correct
11 Correct 26 ms 47196 KB Output is correct
12 Correct 25 ms 47276 KB Output is correct
13 Correct 25 ms 47216 KB Output is correct
14 Correct 25 ms 47256 KB Output is correct
15 Correct 25 ms 47260 KB Output is correct
16 Correct 25 ms 47244 KB Output is correct
17 Correct 25 ms 47188 KB Output is correct
18 Correct 25 ms 47240 KB Output is correct
19 Correct 26 ms 47320 KB Output is correct

Subtask #3
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 47180 KB Output is correct
2 Correct 25 ms 47240 KB Output is correct
3 Correct 24 ms 47236 KB Output is correct
4 Correct 24 ms 47288 KB Output is correct
5 Correct 25 ms 47196 KB Output is correct
6 Correct 27 ms 47300 KB Output is correct
7 Correct 24 ms 47260 KB Output is correct
8 Correct 25 ms 47308 KB Output is correct
9 Correct 25 ms 47312 KB Output is correct
10 Correct 24 ms 47204 KB Output is correct
11 Correct 24 ms 47232 KB Output is correct
12 Correct 24 ms 47192 KB Output is correct
13 Correct 24 ms 47180 KB Output is correct
14 Correct 26 ms 47308 KB Output is correct
15 Correct 25 ms 47420 KB Output is correct
16 Correct 24 ms 47216 KB Output is correct
17 Correct 25 ms 47204 KB Output is correct
18 Correct 25 ms 47180 KB Output is correct
19 Correct 24 ms 47264 KB Output is correct
20 Correct 24 ms 47308 KB Output is correct
21 Correct 26 ms 47196 KB Output is correct
22 Correct 25 ms 47276 KB Output is correct
23 Correct 25 ms 47216 KB Output is correct
24 Correct 25 ms 47256 KB Output is correct
25 Correct 25 ms 47260 KB Output is correct
26 Correct 25 ms 47244 KB Output is correct
27 Correct 25 ms 47188 KB Output is correct
28 Correct 25 ms 47240 KB Output is correct
29 Correct 26 ms 47320 KB Output is correct
30 Execution timed out 2060 ms 47296 KB Time limit exceeded
31 Halted 0 ms 0 KB -

Subtask #4
0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 47180 KB Output is correct
2 Correct 25 ms 47240 KB Output is correct
3 Correct 24 ms 47236 KB Output is correct
4 Correct 24 ms 47288 KB Output is correct
5 Correct 25 ms 47196 KB Output is correct
6 Correct 27 ms 47300 KB Output is correct
7 Correct 24 ms 47260 KB Output is correct
8 Correct 25 ms 47308 KB Output is correct
9 Correct 25 ms 47312 KB Output is correct
10 Correct 24 ms 47204 KB Output is correct
11 Correct 24 ms 47232 KB Output is correct
12 Correct 24 ms 47192 KB Output is correct
13 Correct 24 ms 47180 KB Output is correct
14 Correct 26 ms 47308 KB Output is correct
15 Correct 25 ms 47420 KB Output is correct
16 Correct 24 ms 47216 KB Output is correct
17 Correct 25 ms 47204 KB Output is correct
18 Correct 25 ms 47180 KB Output is correct
19 Correct 24 ms 47264 KB Output is correct
20 Correct 24 ms 47308 KB Output is correct
21 Correct 26 ms 47196 KB Output is correct
22 Correct 25 ms 47276 KB Output is correct
23 Correct 25 ms 47216 KB Output is correct
24 Correct 25 ms 47256 KB Output is correct
25 Correct 25 ms 47260 KB Output is correct
26 Correct 25 ms 47244 KB Output is correct
27 Correct 25 ms 47188 KB Output is correct
28 Correct 25 ms 47240 KB Output is correct
29 Correct 26 ms 47320 KB Output is correct
30 Execution timed out 2060 ms 47296 KB Time limit exceeded
31 Halted 0 ms 0 KB -