oj.uz

Submission #1094441

# Submission time Handle Problem Language Result Execution time Memory
1094441 2024-09-29T15:59:23 Z mispertion Chorus (JOI23_chorus) C++17
87 / 100
 7000 ms 252444 KB 
#include<bits/stdc++.h>

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
#define int ll
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mispertion ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define F first
#define S second
#define getlast(s) (*s.rbegin())
#define debg cout << "OK\n"

const ld PI = 3.1415926535;
const int N = 1e6+5;
const int M = 50 + 1;
const int mod = 1e9+7;
const int infi = 1e15;
const ll infl = LLONG_MAX;
const int P = 31;

int mult(int a, int b) {
    return a * 1LL * b % mod;
}

int sum(int a, int b) { 
    if (a + b < 0)
        return a + b + mod;
    if (a + b >= mod)
        return a + b - mod;
    return a + b;
}

ll binpow(ll a, ll n) {
    if (n == 0)
        return 1;
    if (n % 2 == 1) {
        return binpow(a, n - 1) * a % mod;
    } else {
        ll b = binpow(a, n / 2);
        return b * b % mod;
    }
}

int n, k, ans, ps[2 * N], R[2 * N], prp[2 * N], prc[2 * N];
string s;

void normalize(){
    vector<int> psa = {}, psb = {};
    for(int i = 1; i <= 2 * n; i++){
        if(s[i] == 'A')
            psa.pb(i);
        else
            psb.pb(i);
    }
    string ns = "#";
    int balance = 0, skp = 0, cur = 0;
    for(int i = 1; i <= 2 * n; i++){
        if(s[i] == 'A' && skp){
            skp--;
            continue;
        }
        if(s[i] == 'B' && balance == 0){
            ns += "A";
            ans += (psa[cur] - sz(ns) + 1);
            balance++;
            skp++;
            i--;
            cur++;
            continue;
        }
        if(s[i] == 'B'){
            ns += "B";
            balance--;
        }else{
            ns += "A";
            cur++;
            balance++;
        }
    }
    s = ns;
}

struct Line{
    ld k, b;
};

ld intersect(Line x, Line y){
    return (y.b - x.b) / (x.k - y.k);
}

struct convex{
    vector<pair<Line, int>> v;
    int cur = 0;
    
    void add(Line l, int a){
        while(sz(v) > 1 && make_pair(intersect(v[sz(v) - 2].F, v.back().F), v.back().S) >= make_pair(intersect(v.back().F, l), a)){
            if(sz(v) - 1 == cur)
                cur--;
            v.pop_back();
        }
        v.push_back({l, a});
    }

    pii get(int x){
        if(sz(v) == 0){
            return {infi, infi};
        }
        while(cur < sz(v) - 1 && intersect(v[cur].F, v[cur + 1].F) <= x)
            cur++;
        if(intersect(v[cur].F, v[cur - 1].F) == x){
            return make_pair(v[cur].F.k * x + v[cur].F.b, min(v[cur].S, v[cur - 1].S));
        }
        return make_pair(v[cur].F.k * x + v[cur].F.b, v[cur].S);
    }
};

pii getans(int C){
    vector<pair<int, int>> dp(n + 2, {infi, infi});
    dp[n + 1] = {0, 0};
    convex cht;
    vector<pair<pii, int>> evs1 = {};
    vector<pair<pii, int>> evs2 = {};
    for(int i = 1; i <= n; i++){
        evs1.pb({{R[i], i}, 1});
        evs2.pb({{ps[i], i + 1}, 2});
    }
    vector<pair<pii, int>> evs = {};
    int l = 0, r = 0;
    while(l < sz(evs1) || r < sz(evs2)){
        if(l == sz(evs1)){
            evs.pb(evs2[r]);
            r++;
        }else if(r == sz(evs2)){
            evs.pb(evs1[l]);
            l++;
        }else if(evs1[l] < evs2[r]){
            evs.pb(evs1[l]);
            l++;
        }else{
            evs.pb(evs2[r]);
            r++;
        }
    }
    reverse(all(evs));
    int cj = n + 1;
    for(auto e : evs){
        int i = e.F.S;
        if(e.S == 1){
            int nzm = prp[R[i] - 1] - (prc[R[i] - 1] * prc[R[i] - 1] + prc[R[i] - 1]) / 2;
            dp[i] = cht.get(-prc[R[i] - 1]);
            dp[i].S++;
            dp[i].F += nzm;
        }else{
            if(i <= n){
                while(cj > 1 && R[i] < ps[cj - 1])
                    cj--;
                if(cj > i)
                    dp[i] = min(dp[i], {dp[cj].F, dp[cj].S + 1});
                dp[i].F += C;
            }
            ld b = dp[i].F + prc[ps[i - 1]] * ps[i - 1] - prp[ps[i - 1]] - (prc[ps[i - 1]] * prc[ps[i - 1]] - prc[ps[i - 1]]) / 2;
            ld k = ps[i - 1] - prc[ps[i - 1]];
            cht.add({k, b}, dp[i].S);
        }
    }
    while(cj > 1 && R[1] < ps[cj - 1])
        cj--;
    if(cj > 1)
        dp[1] = min(dp[1], {dp[cj].F, dp[cj].S + 1});
    dp[1].F += C;
    return dp[1];
}

void solve(){
    cin >> n >> k;
    cin >> s;
    s = "#" + s;
    normalize();
    queue<int> st;
    for(int i = 1; i <= 2 * n; i++){
        prc[i] = prc[i - 1] + (s[i] == 'B');
        prp[i] = prp[i - 1] + (s[i] == 'B') * i;
    }
    int cnt = 0;
    for(int i = 2 * n; i >= 1; i--){
        if(s[i] == 'B'){
            st.push(i);
            continue;
        }
        R[n - cnt] = st.front();
        ps[n - cnt] = i;
        st.pop();
        cnt++;
    }
    int lo = -1, hi = 10 * n * n + 1;
    while(lo + 1 < hi){
        int C = (lo + hi) / 2;
        auto e = getans(C);
        if(e.S > k)
            lo = C;
        else
            hi = C;
    }
    int C = hi;
    auto e = getans(C);
    cout << e.F + ans - (k * C) << '\n';
}   

signed main() {
    mispertion;
    int t = 1;
    //cin >> t;
    while(t--){
        solve();
    }
    return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 1 ms 344 KB Output is correct
18 Correct 2 ms 856 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 632 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 1 ms 344 KB Output is correct
18 Correct 2 ms 856 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 632 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 17 ms 2004 KB Output is correct
30 Correct 20 ms 1816 KB Output is correct
31 Correct 22 ms 1884 KB Output is correct
32 Correct 16 ms 1924 KB Output is correct
33 Correct 16 ms 1932 KB Output is correct
34 Correct 17 ms 2156 KB Output is correct
35 Correct 18 ms 2108 KB Output is correct
36 Correct 21 ms 1888 KB Output is correct
37 Correct 21 ms 1884 KB Output is correct
38 Correct 18 ms 2048 KB Output is correct
39 Correct 19 ms 1904 KB Output is correct
40 Correct 17 ms 1820 KB Output is correct
41 Correct 17 ms 1888 KB Output is correct
42 Correct 16 ms 1844 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 1 ms 344 KB Output is correct
18 Correct 2 ms 856 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 632 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 17 ms 2004 KB Output is correct
30 Correct 20 ms 1816 KB Output is correct
31 Correct 22 ms 1884 KB Output is correct
32 Correct 16 ms 1924 KB Output is correct
33 Correct 16 ms 1932 KB Output is correct
34 Correct 17 ms 2156 KB Output is correct
35 Correct 18 ms 2108 KB Output is correct
36 Correct 21 ms 1888 KB Output is correct
37 Correct 21 ms 1884 KB Output is correct
38 Correct 18 ms 2048 KB Output is correct
39 Correct 19 ms 1904 KB Output is correct
40 Correct 17 ms 1820 KB Output is correct
41 Correct 17 ms 1888 KB Output is correct
42 Correct 16 ms 1844 KB Output is correct
43 Correct 320 ms 13668 KB Output is correct
44 Correct 498 ms 23804 KB Output is correct
45 Correct 519 ms 23784 KB Output is correct
46 Correct 366 ms 23832 KB Output is correct
47 Correct 378 ms 23808 KB Output is correct
48 Correct 475 ms 28528 KB Output is correct
49 Correct 465 ms 28532 KB Output is correct
50 Correct 499 ms 23792 KB Output is correct
51 Correct 535 ms 23796 KB Output is correct
52 Correct 487 ms 28532 KB Output is correct
53 Correct 493 ms 28552 KB Output is correct
54 Correct 525 ms 23784 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 1 ms 344 KB Output is correct
18 Correct 2 ms 856 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 632 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 17 ms 2004 KB Output is correct
30 Correct 20 ms 1816 KB Output is correct
31 Correct 22 ms 1884 KB Output is correct
32 Correct 16 ms 1924 KB Output is correct
33 Correct 16 ms 1932 KB Output is correct
34 Correct 17 ms 2156 KB Output is correct
35 Correct 18 ms 2108 KB Output is correct
36 Correct 21 ms 1888 KB Output is correct
37 Correct 21 ms 1884 KB Output is correct
38 Correct 18 ms 2048 KB Output is correct
39 Correct 19 ms 1904 KB Output is correct
40 Correct 17 ms 1820 KB Output is correct
41 Correct 17 ms 1888 KB Output is correct
42 Correct 16 ms 1844 KB Output is correct
43 Correct 320 ms 13668 KB Output is correct
44 Correct 498 ms 23804 KB Output is correct
45 Correct 519 ms 23784 KB Output is correct
46 Correct 366 ms 23832 KB Output is correct
47 Correct 378 ms 23808 KB Output is correct
48 Correct 475 ms 28528 KB Output is correct
49 Correct 465 ms 28532 KB Output is correct
50 Correct 499 ms 23792 KB Output is correct
51 Correct 535 ms 23796 KB Output is correct
52 Correct 487 ms 28532 KB Output is correct
53 Correct 493 ms 28552 KB Output is correct
54 Correct 525 ms 23784 KB Output is correct
55 Correct 4985 ms 166824 KB Output is correct
56 Correct 6842 ms 252444 KB Output is correct
57 Execution timed out 7035 ms 215624 KB Time limit exceeded
58 Halted 0 ms 0 KB -