oj.uz

Submission #902513

# Submission time Handle Problem Language Result Execution time Memory
902513 2024-01-10T14:12:09 Z Tuanlinh123 Chorus (JOI23_chorus) C++17
87 / 100
 7000 ms 661860 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 Line
{
    long long a=inf, b=inf;
    ll idx=0;
 
    Line(){}
    Line(long long a, long long b, ll idx): a(a), b(b), idx(idx){}
    inline pair<long long, ll> ask(long long x){return {a*x+b, idx};}
};
 
struct Node
{
    Line A;
    ll l=0, r=0;
};
Node LC[maxn*20];
 
struct Lichao
{
    ll crr;
    Lichao()
    {
        crr=0;
        LC[0]=Node();
    }
    inline void addline(Line A)
    {
        ll Start=-inf, End=inf, i=0;
        while (1)
        {
            ll mid=(Start+End)/2;
            bool l=A.ask(Start).fi<LC[i].A.ask(Start).fi;
            bool m=A.ask(mid).fi<LC[i].A.ask(mid).fi;
            if (m) swap(A, LC[i].A);
            if (A.a==inf) break;
            if (Start+1!=End)
            {
                if (l!=m)
                {
                    if (!LC[i].l)
                    {
                        LC[i].l=++crr;
                        LC[crr]=Node();
                    }
                    i=LC[i].l;
                    End=mid;
                }
                else
                {
                    if (!LC[i].r)
                    {
                        LC[i].r=++crr;
                        LC[crr]=Node();
                    }
                    i=LC[i].r;
                    Start=mid;
                }
            }
            else break;
        }
    }
 
    inline pair<long long, ll> query(long long x)
    {
        ll Start=-inf, End=inf, i=0;
        pair<long long, ll> ans={inf*inf, 0};
        while (1)
        {
            ll mid=(Start+End)/2;
            ans=min(ans, LC[i].A.ask(x));
            if (x<mid && LC[i].l)
            {
                i=LC[i].l;
                End=mid;
            }
            else if (x>=mid && LC[i].r)
            {
                i=LC[i].r;
                Start=mid;
            }
            else break;
        }
        return ans;
    }
};
 
pair<long long, ll> solve(long long C)
{
    ll crr=1;
    Lichao A; A.addline(Line(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.addline(Line(-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 172 ms 626536 KB Output is correct
2 Correct 135 ms 626684 KB Output is correct
3 Correct 133 ms 626452 KB Output is correct
4 Correct 133 ms 626548 KB Output is correct
5 Correct 144 ms 626500 KB Output is correct
6 Correct 149 ms 626560 KB Output is correct
7 Correct 136 ms 626516 KB Output is correct
8 Correct 152 ms 626620 KB Output is correct
9 Correct 137 ms 626516 KB Output is correct
10 Correct 132 ms 626488 KB Output is correct
11 Correct 137 ms 626632 KB Output is correct
12 Correct 128 ms 626512 KB Output is correct
13 Correct 129 ms 626688 KB Output is correct
14 Correct 130 ms 626508 KB Output is correct
15 Correct 139 ms 626620 KB Output is correct
16 Correct 151 ms 626544 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 626536 KB Output is correct
2 Correct 135 ms 626684 KB Output is correct
3 Correct 133 ms 626452 KB Output is correct
4 Correct 133 ms 626548 KB Output is correct
5 Correct 144 ms 626500 KB Output is correct
6 Correct 149 ms 626560 KB Output is correct
7 Correct 136 ms 626516 KB Output is correct
8 Correct 152 ms 626620 KB Output is correct
9 Correct 137 ms 626516 KB Output is correct
10 Correct 132 ms 626488 KB Output is correct
11 Correct 137 ms 626632 KB Output is correct
12 Correct 128 ms 626512 KB Output is correct
13 Correct 129 ms 626688 KB Output is correct
14 Correct 130 ms 626508 KB Output is correct
15 Correct 139 ms 626620 KB Output is correct
16 Correct 151 ms 626544 KB Output is correct
17 Correct 150 ms 626588 KB Output is correct
18 Correct 157 ms 626540 KB Output is correct
19 Correct 137 ms 626512 KB Output is correct
20 Correct 134 ms 626508 KB Output is correct
21 Correct 136 ms 626524 KB Output is correct
22 Correct 145 ms 626964 KB Output is correct
23 Correct 135 ms 626544 KB Output is correct
24 Correct 143 ms 626540 KB Output is correct
25 Correct 145 ms 626668 KB Output is correct
26 Correct 154 ms 626652 KB Output is correct
27 Correct 143 ms 626516 KB Output is correct
28 Correct 150 ms 626616 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 626536 KB Output is correct
2 Correct 135 ms 626684 KB Output is correct
3 Correct 133 ms 626452 KB Output is correct
4 Correct 133 ms 626548 KB Output is correct
5 Correct 144 ms 626500 KB Output is correct
6 Correct 149 ms 626560 KB Output is correct
7 Correct 136 ms 626516 KB Output is correct
8 Correct 152 ms 626620 KB Output is correct
9 Correct 137 ms 626516 KB Output is correct
10 Correct 132 ms 626488 KB Output is correct
11 Correct 137 ms 626632 KB Output is correct
12 Correct 128 ms 626512 KB Output is correct
13 Correct 129 ms 626688 KB Output is correct
14 Correct 130 ms 626508 KB Output is correct
15 Correct 139 ms 626620 KB Output is correct
16 Correct 151 ms 626544 KB Output is correct
17 Correct 150 ms 626588 KB Output is correct
18 Correct 157 ms 626540 KB Output is correct
19 Correct 137 ms 626512 KB Output is correct
20 Correct 134 ms 626508 KB Output is correct
21 Correct 136 ms 626524 KB Output is correct
22 Correct 145 ms 626964 KB Output is correct
23 Correct 135 ms 626544 KB Output is correct
24 Correct 143 ms 626540 KB Output is correct
25 Correct 145 ms 626668 KB Output is correct
26 Correct 154 ms 626652 KB Output is correct
27 Correct 143 ms 626516 KB Output is correct
28 Correct 150 ms 626616 KB Output is correct
29 Correct 154 ms 626768 KB Output is correct
30 Correct 154 ms 626828 KB Output is correct
31 Correct 172 ms 626772 KB Output is correct
32 Correct 174 ms 626768 KB Output is correct
33 Correct 161 ms 626868 KB Output is correct
34 Correct 166 ms 626892 KB Output is correct
35 Correct 158 ms 626768 KB Output is correct
36 Correct 160 ms 626992 KB Output is correct
37 Correct 163 ms 626832 KB Output is correct
38 Correct 153 ms 626768 KB Output is correct
39 Correct 171 ms 626664 KB Output is correct
40 Correct 164 ms 626700 KB Output is correct
41 Correct 165 ms 626840 KB Output is correct
42 Correct 169 ms 626768 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 626536 KB Output is correct
2 Correct 135 ms 626684 KB Output is correct
3 Correct 133 ms 626452 KB Output is correct
4 Correct 133 ms 626548 KB Output is correct
5 Correct 144 ms 626500 KB Output is correct
6 Correct 149 ms 626560 KB Output is correct
7 Correct 136 ms 626516 KB Output is correct
8 Correct 152 ms 626620 KB Output is correct
9 Correct 137 ms 626516 KB Output is correct
10 Correct 132 ms 626488 KB Output is correct
11 Correct 137 ms 626632 KB Output is correct
12 Correct 128 ms 626512 KB Output is correct
13 Correct 129 ms 626688 KB Output is correct
14 Correct 130 ms 626508 KB Output is correct
15 Correct 139 ms 626620 KB Output is correct
16 Correct 151 ms 626544 KB Output is correct
17 Correct 150 ms 626588 KB Output is correct
18 Correct 157 ms 626540 KB Output is correct
19 Correct 137 ms 626512 KB Output is correct
20 Correct 134 ms 626508 KB Output is correct
21 Correct 136 ms 626524 KB Output is correct
22 Correct 145 ms 626964 KB Output is correct
23 Correct 135 ms 626544 KB Output is correct
24 Correct 143 ms 626540 KB Output is correct
25 Correct 145 ms 626668 KB Output is correct
26 Correct 154 ms 626652 KB Output is correct
27 Correct 143 ms 626516 KB Output is correct
28 Correct 150 ms 626616 KB Output is correct
29 Correct 154 ms 626768 KB Output is correct
30 Correct 154 ms 626828 KB Output is correct
31 Correct 172 ms 626772 KB Output is correct
32 Correct 174 ms 626768 KB Output is correct
33 Correct 161 ms 626868 KB Output is correct
34 Correct 166 ms 626892 KB Output is correct
35 Correct 158 ms 626768 KB Output is correct
36 Correct 160 ms 626992 KB Output is correct
37 Correct 163 ms 626832 KB Output is correct
38 Correct 153 ms 626768 KB Output is correct
39 Correct 171 ms 626664 KB Output is correct
40 Correct 164 ms 626700 KB Output is correct
41 Correct 165 ms 626840 KB Output is correct
42 Correct 169 ms 626768 KB Output is correct
43 Correct 516 ms 628924 KB Output is correct
44 Correct 806 ms 630148 KB Output is correct
45 Correct 811 ms 630240 KB Output is correct
46 Correct 745 ms 630220 KB Output is correct
47 Correct 767 ms 630344 KB Output is correct
48 Correct 803 ms 630236 KB Output is correct
49 Correct 780 ms 630240 KB Output is correct
50 Correct 823 ms 630152 KB Output is correct
51 Correct 842 ms 630264 KB Output is correct
52 Correct 820 ms 630308 KB Output is correct
53 Correct 841 ms 630152 KB Output is correct
54 Correct 862 ms 630376 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 626536 KB Output is correct
2 Correct 135 ms 626684 KB Output is correct
3 Correct 133 ms 626452 KB Output is correct
4 Correct 133 ms 626548 KB Output is correct
5 Correct 144 ms 626500 KB Output is correct
6 Correct 149 ms 626560 KB Output is correct
7 Correct 136 ms 626516 KB Output is correct
8 Correct 152 ms 626620 KB Output is correct
9 Correct 137 ms 626516 KB Output is correct
10 Correct 132 ms 626488 KB Output is correct
11 Correct 137 ms 626632 KB Output is correct
12 Correct 128 ms 626512 KB Output is correct
13 Correct 129 ms 626688 KB Output is correct
14 Correct 130 ms 626508 KB Output is correct
15 Correct 139 ms 626620 KB Output is correct
16 Correct 151 ms 626544 KB Output is correct
17 Correct 150 ms 626588 KB Output is correct
18 Correct 157 ms 626540 KB Output is correct
19 Correct 137 ms 626512 KB Output is correct
20 Correct 134 ms 626508 KB Output is correct
21 Correct 136 ms 626524 KB Output is correct
22 Correct 145 ms 626964 KB Output is correct
23 Correct 135 ms 626544 KB Output is correct
24 Correct 143 ms 626540 KB Output is correct
25 Correct 145 ms 626668 KB Output is correct
26 Correct 154 ms 626652 KB Output is correct
27 Correct 143 ms 626516 KB Output is correct
28 Correct 150 ms 626616 KB Output is correct
29 Correct 154 ms 626768 KB Output is correct
30 Correct 154 ms 626828 KB Output is correct
31 Correct 172 ms 626772 KB Output is correct
32 Correct 174 ms 626768 KB Output is correct
33 Correct 161 ms 626868 KB Output is correct
34 Correct 166 ms 626892 KB Output is correct
35 Correct 158 ms 626768 KB Output is correct
36 Correct 160 ms 626992 KB Output is correct
37 Correct 163 ms 626832 KB Output is correct
38 Correct 153 ms 626768 KB Output is correct
39 Correct 171 ms 626664 KB Output is correct
40 Correct 164 ms 626700 KB Output is correct
41 Correct 165 ms 626840 KB Output is correct
42 Correct 169 ms 626768 KB Output is correct
43 Correct 516 ms 628924 KB Output is correct
44 Correct 806 ms 630148 KB Output is correct
45 Correct 811 ms 630240 KB Output is correct
46 Correct 745 ms 630220 KB Output is correct
47 Correct 767 ms 630344 KB Output is correct
48 Correct 803 ms 630236 KB Output is correct
49 Correct 780 ms 630240 KB Output is correct
50 Correct 823 ms 630152 KB Output is correct
51 Correct 842 ms 630264 KB Output is correct
52 Correct 820 ms 630308 KB Output is correct
53 Correct 841 ms 630152 KB Output is correct
54 Correct 862 ms 630376 KB Output is correct
55 Correct 5060 ms 649448 KB Output is correct
56 Execution timed out 7031 ms 661860 KB Time limit exceeded
57 Halted 0 ms 0 KB -