oj.uz

Submission #902727

# Submission time Handle Problem Language Result Execution time Memory
902727 2024-01-11T01:41:30 Z Tuanlinh123 Chorus (JOI23_chorus) C++17
87 / 100
 7000 ms 85836 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")
#include<bits/stdc++.h>
#define ll int
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
using namespace std;
 
const long long inf=1e6, maxn=1e6+5;
long long cnt[maxn], to[maxn];
long long n, k, dp[maxn], pre[maxn];
 
struct Lichao
{
    ll div(ll x){return (x -!!(x % 2))/2;}

    struct node
    {
        ll l=-1, r=-1;
        pair<pair<long long, long long>, ll> line;
        node(long long a, long long b, int idx): line({a, b}, idx){}
        pair<long long, ll> eval(ll x){return {line.fi.fi*x+line.fi.se, line.se};}
    };
    vector<node> tree;

    const ll MAXV = 1'000'000;
    void insert(long long a, long long b, ll idx)
    {
        node c(a, b, idx);
        if (tree.empty())
        {
            tree.push_back(c);
            return;
        }
        ll tidx=0, Start=-MAXV, End=MAXV;
        while (Start<=End)
        {
            ll mid=div(Start+End);
            bool s=c.eval(Start).fi<tree[tidx].eval(Start).fi;
            bool m=c.eval(mid).fi<tree[tidx].eval(mid).fi;
            if (m) swap(c.line, tree[tidx].line);
            if (Start==End) return;
            if (s!=m)
            {
                End=mid-1;
                if (tree[tidx].l==-1)
                {
                    tree[tidx].l=tree.size();
                    tree.push_back(c);
                    return;
                }
                tidx=tree[tidx].l;
            }
            else
            {
                Start=mid+1;
                if (tree[tidx].r==-1)
                {
                    tree[tidx].r=tree.size();
                    tree.push_back(c);
                    return;
                }
                tidx=tree[tidx].r;
            }
        }
    }

    pair<long long, ll> query(ll x)
    {
        pair<long long, ll> ans={LLONG_MAX, 0};
        ll tidx = 0, Start = -MAXV, End = MAXV;
        while (Start<=End && tidx!=-1)
        {
            ans=min(ans, tree[tidx].eval(x));
            ll mid = div(Start+End);
            if (x==mid) return ans;
            if (x<mid) End=mid-1, tidx=tree[tidx].l;
            else Start=mid+1, tidx=tree[tidx].r;
        }
        return ans;
    }
};
 
pair<long long, ll> solve(long long C)
{
    ll crr=1;
    Lichao A; A.insert(0, -pre[to[0]-1], 0);
    for (ll i=1; i<=n; i++)
        dp[i]=inf*inf, cnt[i]=0;
    for (ll i=1; i<=n; i++)
    {
        while (crr<i && to[crr]<=i)
            A.insert(-crr, -(pre[to[crr]-1]-(to[crr]-1)*crr)+dp[crr], cnt[crr]), crr++;
        tie(dp[i], cnt[i])=A.query(i); 
        dp[i]+=C+pre[i], cnt[i]++;
        if (crr<i && dp[crr]+C<dp[i])
            dp[i]=dp[crr]+C, cnt[i]=cnt[crr]+1;
    }
    return {dp[n], cnt[n]};
}
 
int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    cin >> n >> k;
    string s; cin >> s;
    long long x=0, y=0, crr=1;
    for (ll i=0; i<n*2; i++)
    {
        if (s[i]=='A')
            x++, pre[x]=pre[x-1]+y;
        else y++;
    }
    for (ll i=1; i<=n; i++)
        while (crr<=pre[i]-pre[i-1])
            to[crr]=i, crr++;
    while (crr<=n) to[crr]=n+1, crr++;
    for (ll i=0; i<=n; i++)
        if (to[i]<=i)
            to[i]=i+1;
    long long lo=0, hi=1LL*n*n;
    while (hi>lo)
    {
        long long mid=(lo+hi)/2;
        if (solve(mid).se<=k)
            hi=mid;
        else lo=mid+1;
    }
    cout << 0LL+solve(lo).fi-lo*k;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 3 ms 6744 KB Output is correct
19 Correct 3 ms 6488 KB Output is correct
20 Correct 3 ms 6656 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 3 ms 6492 KB Output is correct
23 Correct 3 ms 6492 KB Output is correct
24 Correct 3 ms 6660 KB Output is correct
25 Correct 2 ms 6488 KB Output is correct
26 Correct 3 ms 6492 KB Output is correct
27 Correct 3 ms 6492 KB Output is correct
28 Correct 3 ms 6488 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 3 ms 6744 KB Output is correct
19 Correct 3 ms 6488 KB Output is correct
20 Correct 3 ms 6656 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 3 ms 6492 KB Output is correct
23 Correct 3 ms 6492 KB Output is correct
24 Correct 3 ms 6660 KB Output is correct
25 Correct 2 ms 6488 KB Output is correct
26 Correct 3 ms 6492 KB Output is correct
27 Correct 3 ms 6492 KB Output is correct
28 Correct 3 ms 6488 KB Output is correct
29 Correct 24 ms 7004 KB Output is correct
30 Correct 30 ms 7004 KB Output is correct
31 Correct 29 ms 7000 KB Output is correct
32 Correct 23 ms 7120 KB Output is correct
33 Correct 24 ms 7104 KB Output is correct
34 Correct 25 ms 7148 KB Output is correct
35 Correct 24 ms 7340 KB Output is correct
36 Correct 25 ms 7004 KB Output is correct
37 Correct 25 ms 7004 KB Output is correct
38 Correct 26 ms 7160 KB Output is correct
39 Correct 25 ms 6988 KB Output is correct
40 Correct 23 ms 7000 KB Output is correct
41 Correct 23 ms 7000 KB Output is correct
42 Correct 11 ms 6748 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 3 ms 6744 KB Output is correct
19 Correct 3 ms 6488 KB Output is correct
20 Correct 3 ms 6656 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 3 ms 6492 KB Output is correct
23 Correct 3 ms 6492 KB Output is correct
24 Correct 3 ms 6660 KB Output is correct
25 Correct 2 ms 6488 KB Output is correct
26 Correct 3 ms 6492 KB Output is correct
27 Correct 3 ms 6492 KB Output is correct
28 Correct 3 ms 6488 KB Output is correct
29 Correct 24 ms 7004 KB Output is correct
30 Correct 30 ms 7004 KB Output is correct
31 Correct 29 ms 7000 KB Output is correct
32 Correct 23 ms 7120 KB Output is correct
33 Correct 24 ms 7104 KB Output is correct
34 Correct 25 ms 7148 KB Output is correct
35 Correct 24 ms 7340 KB Output is correct
36 Correct 25 ms 7004 KB Output is correct
37 Correct 25 ms 7004 KB Output is correct
38 Correct 26 ms 7160 KB Output is correct
39 Correct 25 ms 6988 KB Output is correct
40 Correct 23 ms 7000 KB Output is correct
41 Correct 23 ms 7000 KB Output is correct
42 Correct 11 ms 6748 KB Output is correct
43 Correct 377 ms 12880 KB Output is correct
44 Correct 637 ms 18868 KB Output is correct
45 Correct 632 ms 18192 KB Output is correct
46 Correct 616 ms 18912 KB Output is correct
47 Correct 635 ms 19564 KB Output is correct
48 Correct 676 ms 19808 KB Output is correct
49 Correct 664 ms 18692 KB Output is correct
50 Correct 639 ms 19624 KB Output is correct
51 Correct 632 ms 18616 KB Output is correct
52 Correct 659 ms 19556 KB Output is correct
53 Correct 672 ms 18528 KB Output is correct
54 Correct 682 ms 19380 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 3 ms 6744 KB Output is correct
19 Correct 3 ms 6488 KB Output is correct
20 Correct 3 ms 6656 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 3 ms 6492 KB Output is correct
23 Correct 3 ms 6492 KB Output is correct
24 Correct 3 ms 6660 KB Output is correct
25 Correct 2 ms 6488 KB Output is correct
26 Correct 3 ms 6492 KB Output is correct
27 Correct 3 ms 6492 KB Output is correct
28 Correct 3 ms 6488 KB Output is correct
29 Correct 24 ms 7004 KB Output is correct
30 Correct 30 ms 7004 KB Output is correct
31 Correct 29 ms 7000 KB Output is correct
32 Correct 23 ms 7120 KB Output is correct
33 Correct 24 ms 7104 KB Output is correct
34 Correct 25 ms 7148 KB Output is correct
35 Correct 24 ms 7340 KB Output is correct
36 Correct 25 ms 7004 KB Output is correct
37 Correct 25 ms 7004 KB Output is correct
38 Correct 26 ms 7160 KB Output is correct
39 Correct 25 ms 6988 KB Output is correct
40 Correct 23 ms 7000 KB Output is correct
41 Correct 23 ms 7000 KB Output is correct
42 Correct 11 ms 6748 KB Output is correct
43 Correct 377 ms 12880 KB Output is correct
44 Correct 637 ms 18868 KB Output is correct
45 Correct 632 ms 18192 KB Output is correct
46 Correct 616 ms 18912 KB Output is correct
47 Correct 635 ms 19564 KB Output is correct
48 Correct 676 ms 19808 KB Output is correct
49 Correct 664 ms 18692 KB Output is correct
50 Correct 639 ms 19624 KB Output is correct
51 Correct 632 ms 18616 KB Output is correct
52 Correct 659 ms 19556 KB Output is correct
53 Correct 672 ms 18528 KB Output is correct
54 Correct 682 ms 19380 KB Output is correct
55 Correct 4798 ms 63948 KB Output is correct
56 Execution timed out 7047 ms 85836 KB Time limit exceeded
57 Halted 0 ms 0 KB -