oj.uz

Submission #902507

# Submission time Handle Problem Language Result Execution time Memory
902507 2024-01-10T13:55:19 Z Tuanlinh123 Chorus (JOI23_chorus) C++17
87 / 100
 7000 ms 818376 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")
#include<bits/stdc++.h>
#define ll long long
#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;
ll 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)
    {
        if (a==inf) return {inf*inf, idx};
        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 267 ms 783216 KB Output is correct
2 Correct 220 ms 783152 KB Output is correct
3 Correct 216 ms 783184 KB Output is correct
4 Correct 224 ms 783220 KB Output is correct
5 Correct 220 ms 783140 KB Output is correct
6 Correct 211 ms 783112 KB Output is correct
7 Correct 233 ms 783092 KB Output is correct
8 Correct 218 ms 783204 KB Output is correct
9 Correct 208 ms 783184 KB Output is correct
10 Correct 205 ms 783192 KB Output is correct
11 Correct 212 ms 783012 KB Output is correct
12 Correct 215 ms 783184 KB Output is correct
13 Correct 247 ms 783240 KB Output is correct
14 Correct 210 ms 783188 KB Output is correct
15 Correct 203 ms 783188 KB Output is correct
16 Correct 220 ms 783272 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 783216 KB Output is correct
2 Correct 220 ms 783152 KB Output is correct
3 Correct 216 ms 783184 KB Output is correct
4 Correct 224 ms 783220 KB Output is correct
5 Correct 220 ms 783140 KB Output is correct
6 Correct 211 ms 783112 KB Output is correct
7 Correct 233 ms 783092 KB Output is correct
8 Correct 218 ms 783204 KB Output is correct
9 Correct 208 ms 783184 KB Output is correct
10 Correct 205 ms 783192 KB Output is correct
11 Correct 212 ms 783012 KB Output is correct
12 Correct 215 ms 783184 KB Output is correct
13 Correct 247 ms 783240 KB Output is correct
14 Correct 210 ms 783188 KB Output is correct
15 Correct 203 ms 783188 KB Output is correct
16 Correct 220 ms 783272 KB Output is correct
17 Correct 224 ms 790620 KB Output is correct
18 Correct 219 ms 783184 KB Output is correct
19 Correct 218 ms 783168 KB Output is correct
20 Correct 211 ms 783248 KB Output is correct
21 Correct 214 ms 783084 KB Output is correct
22 Correct 206 ms 783140 KB Output is correct
23 Correct 228 ms 783188 KB Output is correct
24 Correct 214 ms 783184 KB Output is correct
25 Correct 221 ms 783144 KB Output is correct
26 Correct 202 ms 783104 KB Output is correct
27 Correct 218 ms 783428 KB Output is correct
28 Correct 194 ms 783184 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 783216 KB Output is correct
2 Correct 220 ms 783152 KB Output is correct
3 Correct 216 ms 783184 KB Output is correct
4 Correct 224 ms 783220 KB Output is correct
5 Correct 220 ms 783140 KB Output is correct
6 Correct 211 ms 783112 KB Output is correct
7 Correct 233 ms 783092 KB Output is correct
8 Correct 218 ms 783204 KB Output is correct
9 Correct 208 ms 783184 KB Output is correct
10 Correct 205 ms 783192 KB Output is correct
11 Correct 212 ms 783012 KB Output is correct
12 Correct 215 ms 783184 KB Output is correct
13 Correct 247 ms 783240 KB Output is correct
14 Correct 210 ms 783188 KB Output is correct
15 Correct 203 ms 783188 KB Output is correct
16 Correct 220 ms 783272 KB Output is correct
17 Correct 224 ms 790620 KB Output is correct
18 Correct 219 ms 783184 KB Output is correct
19 Correct 218 ms 783168 KB Output is correct
20 Correct 211 ms 783248 KB Output is correct
21 Correct 214 ms 783084 KB Output is correct
22 Correct 206 ms 783140 KB Output is correct
23 Correct 228 ms 783188 KB Output is correct
24 Correct 214 ms 783184 KB Output is correct
25 Correct 221 ms 783144 KB Output is correct
26 Correct 202 ms 783104 KB Output is correct
27 Correct 218 ms 783428 KB Output is correct
28 Correct 194 ms 783184 KB Output is correct
29 Correct 209 ms 783184 KB Output is correct
30 Correct 232 ms 783508 KB Output is correct
31 Correct 230 ms 783188 KB Output is correct
32 Correct 217 ms 783332 KB Output is correct
33 Correct 224 ms 783184 KB Output is correct
34 Correct 216 ms 783184 KB Output is correct
35 Correct 221 ms 783188 KB Output is correct
36 Correct 217 ms 783184 KB Output is correct
37 Correct 223 ms 783184 KB Output is correct
38 Correct 240 ms 783384 KB Output is correct
39 Correct 226 ms 783440 KB Output is correct
40 Correct 220 ms 783188 KB Output is correct
41 Correct 259 ms 783328 KB Output is correct
42 Correct 230 ms 783268 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 783216 KB Output is correct
2 Correct 220 ms 783152 KB Output is correct
3 Correct 216 ms 783184 KB Output is correct
4 Correct 224 ms 783220 KB Output is correct
5 Correct 220 ms 783140 KB Output is correct
6 Correct 211 ms 783112 KB Output is correct
7 Correct 233 ms 783092 KB Output is correct
8 Correct 218 ms 783204 KB Output is correct
9 Correct 208 ms 783184 KB Output is correct
10 Correct 205 ms 783192 KB Output is correct
11 Correct 212 ms 783012 KB Output is correct
12 Correct 215 ms 783184 KB Output is correct
13 Correct 247 ms 783240 KB Output is correct
14 Correct 210 ms 783188 KB Output is correct
15 Correct 203 ms 783188 KB Output is correct
16 Correct 220 ms 783272 KB Output is correct
17 Correct 224 ms 790620 KB Output is correct
18 Correct 219 ms 783184 KB Output is correct
19 Correct 218 ms 783168 KB Output is correct
20 Correct 211 ms 783248 KB Output is correct
21 Correct 214 ms 783084 KB Output is correct
22 Correct 206 ms 783140 KB Output is correct
23 Correct 228 ms 783188 KB Output is correct
24 Correct 214 ms 783184 KB Output is correct
25 Correct 221 ms 783144 KB Output is correct
26 Correct 202 ms 783104 KB Output is correct
27 Correct 218 ms 783428 KB Output is correct
28 Correct 194 ms 783184 KB Output is correct
29 Correct 209 ms 783184 KB Output is correct
30 Correct 232 ms 783508 KB Output is correct
31 Correct 230 ms 783188 KB Output is correct
32 Correct 217 ms 783332 KB Output is correct
33 Correct 224 ms 783184 KB Output is correct
34 Correct 216 ms 783184 KB Output is correct
35 Correct 221 ms 783188 KB Output is correct
36 Correct 217 ms 783184 KB Output is correct
37 Correct 223 ms 783184 KB Output is correct
38 Correct 240 ms 783384 KB Output is correct
39 Correct 226 ms 783440 KB Output is correct
40 Correct 220 ms 783188 KB Output is correct
41 Correct 259 ms 783328 KB Output is correct
42 Correct 230 ms 783268 KB Output is correct
43 Correct 575 ms 785476 KB Output is correct
44 Correct 882 ms 786704 KB Output is correct
45 Correct 853 ms 786868 KB Output is correct
46 Correct 780 ms 786780 KB Output is correct
47 Correct 783 ms 786708 KB Output is correct
48 Correct 885 ms 786708 KB Output is correct
49 Correct 856 ms 786768 KB Output is correct
50 Correct 885 ms 786704 KB Output is correct
51 Correct 867 ms 786712 KB Output is correct
52 Correct 859 ms 786744 KB Output is correct
53 Correct 827 ms 786752 KB Output is correct
54 Correct 956 ms 786508 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 783216 KB Output is correct
2 Correct 220 ms 783152 KB Output is correct
3 Correct 216 ms 783184 KB Output is correct
4 Correct 224 ms 783220 KB Output is correct
5 Correct 220 ms 783140 KB Output is correct
6 Correct 211 ms 783112 KB Output is correct
7 Correct 233 ms 783092 KB Output is correct
8 Correct 218 ms 783204 KB Output is correct
9 Correct 208 ms 783184 KB Output is correct
10 Correct 205 ms 783192 KB Output is correct
11 Correct 212 ms 783012 KB Output is correct
12 Correct 215 ms 783184 KB Output is correct
13 Correct 247 ms 783240 KB Output is correct
14 Correct 210 ms 783188 KB Output is correct
15 Correct 203 ms 783188 KB Output is correct
16 Correct 220 ms 783272 KB Output is correct
17 Correct 224 ms 790620 KB Output is correct
18 Correct 219 ms 783184 KB Output is correct
19 Correct 218 ms 783168 KB Output is correct
20 Correct 211 ms 783248 KB Output is correct
21 Correct 214 ms 783084 KB Output is correct
22 Correct 206 ms 783140 KB Output is correct
23 Correct 228 ms 783188 KB Output is correct
24 Correct 214 ms 783184 KB Output is correct
25 Correct 221 ms 783144 KB Output is correct
26 Correct 202 ms 783104 KB Output is correct
27 Correct 218 ms 783428 KB Output is correct
28 Correct 194 ms 783184 KB Output is correct
29 Correct 209 ms 783184 KB Output is correct
30 Correct 232 ms 783508 KB Output is correct
31 Correct 230 ms 783188 KB Output is correct
32 Correct 217 ms 783332 KB Output is correct
33 Correct 224 ms 783184 KB Output is correct
34 Correct 216 ms 783184 KB Output is correct
35 Correct 221 ms 783188 KB Output is correct
36 Correct 217 ms 783184 KB Output is correct
37 Correct 223 ms 783184 KB Output is correct
38 Correct 240 ms 783384 KB Output is correct
39 Correct 226 ms 783440 KB Output is correct
40 Correct 220 ms 783188 KB Output is correct
41 Correct 259 ms 783328 KB Output is correct
42 Correct 230 ms 783268 KB Output is correct
43 Correct 575 ms 785476 KB Output is correct
44 Correct 882 ms 786704 KB Output is correct
45 Correct 853 ms 786868 KB Output is correct
46 Correct 780 ms 786780 KB Output is correct
47 Correct 783 ms 786708 KB Output is correct
48 Correct 885 ms 786708 KB Output is correct
49 Correct 856 ms 786768 KB Output is correct
50 Correct 885 ms 786704 KB Output is correct
51 Correct 867 ms 786712 KB Output is correct
52 Correct 859 ms 786744 KB Output is correct
53 Correct 827 ms 786752 KB Output is correct
54 Correct 956 ms 786508 KB Output is correct
55 Correct 4956 ms 805972 KB Output is correct
56 Execution timed out 7071 ms 818376 KB Time limit exceeded
57 Halted 0 ms 0 KB -