oj.uz

Submission #1090900

# Submission time Handle Problem Language Result Execution time Memory
1090900 2024-09-19T05:46:46 Z eltu0815 Chorus (JOI23_chorus) C++14
87 / 100
 7000 ms 36308 KB 
#include <bits/stdc++.h>
#define MAX 1000005
#define MOD (ll)(1048573)
#define INF (ll)(1e12)
#define inf (int)(1e9)
#define eps (double)(1e-8)
 
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
 
int tt, N, K;
string str;

int cnt[MAX], pos[MAX], can[MAX], q[MAX], k[MAX];
ll dp[MAX], sum[MAX];

#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

inline int readChar();
template<class T = int> inline T readInt();
template<class T> inline void writeInt(T x, char end = 0);
inline void writeChar(int x);
inline void writeWord(const char *s);
static const int buf_size = 1 << 18;
inline int getChar(){
    #ifndef LOCAL
    static char buf[buf_size];
    static int len = 0, pos = 0;
    if(pos == len) pos = 0, len = fread(buf, 1, buf_size, stdin);
    if(pos == len) return -1;
    return buf[pos++];
    #endif
}
inline int readChar(){
    #ifndef LOCAL
    int c = getChar();
    while(c <= 32) c = getChar();
    return c;
    #else
    char c; cin >> c; return c;
    #endif
}
template <class T>
inline T readInt(){
    #ifndef LOCAL
    int s = 1, c = readChar();
    T x = 0;
    if(c == '-') s = -1, c = getChar();
    while('0' <= c && c <= '9') x = x * 10 + c - '0', c = getChar();
    return s == 1 ? x : -x;
    #else
    T x; cin >> x; return x;
    #endif
}
static int write_pos = 0;
static char write_buf[buf_size];
inline void writeChar(int x){
    if(write_pos == buf_size) fwrite(write_buf, 1, buf_size, stdout), write_pos = 0;
    write_buf[write_pos++] = x;
}
template <class T>
inline void writeInt(T x, char end){
    if(x < 0) writeChar('-'), x = -x;
    char s[24]; int n = 0;
    while(x || !n) s[n++] = '0' + x % 10, x /= 10;
    while(n--) writeChar(s[n]);
    if(end) writeChar(end);
}
inline void writeWord(const char *s){
    while(*s) writeChar(*s++);
}
struct Flusher{
    ~Flusher(){ if(write_pos) fwrite(write_buf, 1, write_pos, stdout), write_pos = 0; }
}flusher;


ll cost(int i, int j) {
    return max(sum[j] - sum[pos[i - 1] - 1] - (ll)(j - pos[i - 1] + 1) * (i - 1), 0ll);
}

ll func(int i, int j) {
    return dp[i] + cost(i + 1, j);
}

int cross(int i, int j) {
    int lo = j , hi = N + 1;
    while(lo + 1 < hi) {
        int mid = (lo + hi) >> 1;
        if(func(i, mid) <= func(j, mid)) lo = mid;
        else hi = mid;
    }
    return lo; 
}

void monotoneQueue(ll lambda) {
    int str = 0, ed = 1;
    q[0] = 0; can[0] = N;
    for(int i = 1; i <= N; ++i) {
        while(can[str] < i) ++str;
        dp[i] = func(q[str], i) + lambda; k[i] = k[q[str]] + 1;
        
        while(str + 1 < ed && can[ed - 2] >= cross(q[ed - 1], i)) --ed;
        can[ed - 1] = cross(q[ed - 1], i); q[ed] = i; can[ed] = N;
        ++ed;
    }

    return;
}

ll alienTrick() {
    ll lo = -1, hi = INF;
    ll ans = 0;
    while(lo + 1 < hi) {
        ll mid = (lo + hi) >> 1;
        monotoneQueue(mid);
        
        ans = max(ans, dp[N] - mid * K);
        
        if(k[N] >= K) lo = mid;
        else hi = mid;
    }
    
    return ans;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    
    N = readInt();
    K = readInt();
    for(int i = 0; i < 2 * N; ++i) str += readChar();
    for(int i = 0, tmp = 0, p = 0; i < 2 * N; ++i) {
        if(str[i] == 'A') cnt[++p] = tmp;
        else ++tmp;
    }
    
    for(int i = 0, j = 1; i <= N; ++i) {
        while(j <= N && cnt[j] < i) ++j;
        pos[i] = max(i + 1, j);
    }
    
    for(int i = 1; i <= N; ++i) sum[i] = sum[i - 1] + cnt[i];
    
    writeInt(alienTrick(), ' ');
    return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 2 ms 344 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 ms 348 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 2 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 2 ms 344 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 ms 348 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 2 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 19 ms 604 KB Output is correct
30 Correct 21 ms 604 KB Output is correct
31 Correct 20 ms 604 KB Output is correct
32 Correct 16 ms 692 KB Output is correct
33 Correct 17 ms 696 KB Output is correct
34 Correct 17 ms 724 KB Output is correct
35 Correct 17 ms 604 KB Output is correct
36 Correct 22 ms 600 KB Output is correct
37 Correct 20 ms 712 KB Output is correct
38 Correct 18 ms 604 KB Output is correct
39 Correct 23 ms 604 KB Output is correct
40 Correct 19 ms 600 KB Output is correct
41 Correct 19 ms 708 KB Output is correct
42 Correct 16 ms 600 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 2 ms 344 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 ms 348 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 2 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 19 ms 604 KB Output is correct
30 Correct 21 ms 604 KB Output is correct
31 Correct 20 ms 604 KB Output is correct
32 Correct 16 ms 692 KB Output is correct
33 Correct 17 ms 696 KB Output is correct
34 Correct 17 ms 724 KB Output is correct
35 Correct 17 ms 604 KB Output is correct
36 Correct 22 ms 600 KB Output is correct
37 Correct 20 ms 712 KB Output is correct
38 Correct 18 ms 604 KB Output is correct
39 Correct 23 ms 604 KB Output is correct
40 Correct 19 ms 600 KB Output is correct
41 Correct 19 ms 708 KB Output is correct
42 Correct 16 ms 600 KB Output is correct
43 Correct 326 ms 2692 KB Output is correct
44 Correct 642 ms 4068 KB Output is correct
45 Correct 558 ms 3956 KB Output is correct
46 Correct 437 ms 3568 KB Output is correct
47 Correct 462 ms 3872 KB Output is correct
48 Correct 463 ms 4328 KB Output is correct
49 Correct 437 ms 4552 KB Output is correct
50 Correct 640 ms 4028 KB Output is correct
51 Correct 585 ms 4072 KB Output is correct
52 Correct 444 ms 4508 KB Output is correct
53 Correct 433 ms 4304 KB Output is correct
54 Correct 558 ms 4076 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 2 ms 344 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 344 KB Output is correct
21 Correct 2 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 ms 348 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 2 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 19 ms 604 KB Output is correct
30 Correct 21 ms 604 KB Output is correct
31 Correct 20 ms 604 KB Output is correct
32 Correct 16 ms 692 KB Output is correct
33 Correct 17 ms 696 KB Output is correct
34 Correct 17 ms 724 KB Output is correct
35 Correct 17 ms 604 KB Output is correct
36 Correct 22 ms 600 KB Output is correct
37 Correct 20 ms 712 KB Output is correct
38 Correct 18 ms 604 KB Output is correct
39 Correct 23 ms 604 KB Output is correct
40 Correct 19 ms 600 KB Output is correct
41 Correct 19 ms 708 KB Output is correct
42 Correct 16 ms 600 KB Output is correct
43 Correct 326 ms 2692 KB Output is correct
44 Correct 642 ms 4068 KB Output is correct
45 Correct 558 ms 3956 KB Output is correct
46 Correct 437 ms 3568 KB Output is correct
47 Correct 462 ms 3872 KB Output is correct
48 Correct 463 ms 4328 KB Output is correct
49 Correct 437 ms 4552 KB Output is correct
50 Correct 640 ms 4028 KB Output is correct
51 Correct 585 ms 4072 KB Output is correct
52 Correct 444 ms 4508 KB Output is correct
53 Correct 433 ms 4304 KB Output is correct
54 Correct 558 ms 4076 KB Output is correct
55 Correct 4432 ms 22344 KB Output is correct
56 Correct 6399 ms 36308 KB Output is correct
57 Execution timed out 7078 ms 34080 KB Time limit exceeded
58 Halted 0 ms 0 KB -