oj.uz

Submission #902733

# Submission time Handle Problem Language Result Execution time Memory
902733 2024-01-11T01:43:39 Z Tuanlinh123 Chorus (JOI23_chorus) C++17
87 / 100
 7000 ms 83560 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
{
    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};}
    };

    const ll MAXV=1'000'000;
    vector<node> tree;

    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=(Start+End)/2;
            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=(Start+End)/2;
            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 6492 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 6488 KB Output is correct
6 Correct 1 ms 6616 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 6488 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 6488 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 6492 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 6488 KB Output is correct
6 Correct 1 ms 6616 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 6488 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 6488 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 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6488 KB Output is correct
21 Correct 3 ms 6492 KB Output is correct
22 Correct 2 ms 6492 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 3 ms 6488 KB Output is correct
25 Correct 3 ms 6492 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 6492 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 6488 KB Output is correct
6 Correct 1 ms 6616 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 6488 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 6488 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 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6488 KB Output is correct
21 Correct 3 ms 6492 KB Output is correct
22 Correct 2 ms 6492 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 3 ms 6488 KB Output is correct
25 Correct 3 ms 6492 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 25 ms 7004 KB Output is correct
30 Correct 25 ms 6928 KB Output is correct
31 Correct 25 ms 7000 KB Output is correct
32 Correct 30 ms 7096 KB Output is correct
33 Correct 32 ms 7068 KB Output is correct
34 Correct 30 ms 7356 KB Output is correct
35 Correct 26 ms 7104 KB Output is correct
36 Correct 25 ms 6948 KB Output is correct
37 Correct 26 ms 7000 KB Output is correct
38 Correct 26 ms 7092 KB Output is correct
39 Correct 26 ms 7004 KB Output is correct
40 Correct 28 ms 7000 KB Output is correct
41 Correct 26 ms 7256 KB Output is correct
42 Correct 12 ms 6756 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 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 6488 KB Output is correct
6 Correct 1 ms 6616 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 6488 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 6488 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 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6488 KB Output is correct
21 Correct 3 ms 6492 KB Output is correct
22 Correct 2 ms 6492 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 3 ms 6488 KB Output is correct
25 Correct 3 ms 6492 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 25 ms 7004 KB Output is correct
30 Correct 25 ms 6928 KB Output is correct
31 Correct 25 ms 7000 KB Output is correct
32 Correct 30 ms 7096 KB Output is correct
33 Correct 32 ms 7068 KB Output is correct
34 Correct 30 ms 7356 KB Output is correct
35 Correct 26 ms 7104 KB Output is correct
36 Correct 25 ms 6948 KB Output is correct
37 Correct 26 ms 7000 KB Output is correct
38 Correct 26 ms 7092 KB Output is correct
39 Correct 26 ms 7004 KB Output is correct
40 Correct 28 ms 7000 KB Output is correct
41 Correct 26 ms 7256 KB Output is correct
42 Correct 12 ms 6756 KB Output is correct
43 Correct 405 ms 12584 KB Output is correct
44 Correct 698 ms 17864 KB Output is correct
45 Correct 689 ms 19152 KB Output is correct
46 Correct 672 ms 18520 KB Output is correct
47 Correct 698 ms 18560 KB Output is correct
48 Correct 698 ms 18276 KB Output is correct
49 Correct 704 ms 18380 KB Output is correct
50 Correct 694 ms 18316 KB Output is correct
51 Correct 659 ms 17952 KB Output is correct
52 Correct 729 ms 18348 KB Output is correct
53 Correct 707 ms 19036 KB Output is correct
54 Correct 725 ms 18028 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 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 6488 KB Output is correct
6 Correct 1 ms 6616 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 6488 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 6488 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 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6488 KB Output is correct
21 Correct 3 ms 6492 KB Output is correct
22 Correct 2 ms 6492 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 3 ms 6488 KB Output is correct
25 Correct 3 ms 6492 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 25 ms 7004 KB Output is correct
30 Correct 25 ms 6928 KB Output is correct
31 Correct 25 ms 7000 KB Output is correct
32 Correct 30 ms 7096 KB Output is correct
33 Correct 32 ms 7068 KB Output is correct
34 Correct 30 ms 7356 KB Output is correct
35 Correct 26 ms 7104 KB Output is correct
36 Correct 25 ms 6948 KB Output is correct
37 Correct 26 ms 7000 KB Output is correct
38 Correct 26 ms 7092 KB Output is correct
39 Correct 26 ms 7004 KB Output is correct
40 Correct 28 ms 7000 KB Output is correct
41 Correct 26 ms 7256 KB Output is correct
42 Correct 12 ms 6756 KB Output is correct
43 Correct 405 ms 12584 KB Output is correct
44 Correct 698 ms 17864 KB Output is correct
45 Correct 689 ms 19152 KB Output is correct
46 Correct 672 ms 18520 KB Output is correct
47 Correct 698 ms 18560 KB Output is correct
48 Correct 698 ms 18276 KB Output is correct
49 Correct 704 ms 18380 KB Output is correct
50 Correct 694 ms 18316 KB Output is correct
51 Correct 659 ms 17952 KB Output is correct
52 Correct 729 ms 18348 KB Output is correct
53 Correct 707 ms 19036 KB Output is correct
54 Correct 725 ms 18028 KB Output is correct
55 Correct 5095 ms 62104 KB Output is correct
56 Execution timed out 7053 ms 83560 KB Time limit exceeded
57 Halted 0 ms 0 KB -