oj.uz

Submission #1094458

# Submission time Handle Problem Language Result Execution time Memory
1094458 2024-09-29T16:27:53 Z mispertion Chorus (JOI23_chorus) C++17
87 / 100
 3854 ms 398544 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(n);
    vector<pair<pii, int>> evs2(n);
    for(int i = n; i >= 1; i--){
        evs1[n - i] = {{R[i], i}, 1};
        evs2[n - i] = {{ps[i], i + 1}, 2};
    }
    vector<pair<pii, int>> evs(2 * n);
    int l = 0, r = 0;
    while(l < sz(evs1) || r < sz(evs2)){
        if(l == sz(evs1)){
            evs[l + r] = evs2[r];
            r++;
        }else if(r == sz(evs2)){
            evs[l + r] = evs1[l];
            l++;
        }else if(evs1[l] > evs2[r]){
            evs[l + r] = evs1[l];
            l++;
        }else{
            evs[l + r] = evs2[r];
            r++;
        }
    }
    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 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 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 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 348 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 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 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 2396 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 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 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 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 20 ms 3904 KB Output is correct
30 Correct 16 ms 1588 KB Output is correct
31 Correct 15 ms 1568 KB Output is correct
32 Correct 13 ms 3724 KB Output is correct
33 Correct 13 ms 3624 KB Output is correct
34 Correct 14 ms 2020 KB Output is correct
35 Correct 13 ms 2004 KB Output is correct
36 Correct 16 ms 3524 KB Output is correct
37 Correct 17 ms 1620 KB Output is correct
38 Correct 15 ms 1992 KB Output is correct
39 Correct 16 ms 1696 KB Output is correct
40 Correct 12 ms 1620 KB Output is correct
41 Correct 12 ms 1520 KB Output is correct
42 Correct 10 ms 1536 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 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 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 20 ms 3904 KB Output is correct
30 Correct 16 ms 1588 KB Output is correct
31 Correct 15 ms 1568 KB Output is correct
32 Correct 13 ms 3724 KB Output is correct
33 Correct 13 ms 3624 KB Output is correct
34 Correct 14 ms 2020 KB Output is correct
35 Correct 13 ms 2004 KB Output is correct
36 Correct 16 ms 3524 KB Output is correct
37 Correct 17 ms 1620 KB Output is correct
38 Correct 15 ms 1992 KB Output is correct
39 Correct 16 ms 1696 KB Output is correct
40 Correct 12 ms 1620 KB Output is correct
41 Correct 12 ms 1520 KB Output is correct
42 Correct 10 ms 1536 KB Output is correct
43 Correct 185 ms 12996 KB Output is correct
44 Correct 325 ms 22700 KB Output is correct
45 Correct 332 ms 22460 KB Output is correct
46 Correct 204 ms 22580 KB Output is correct
47 Correct 213 ms 22836 KB Output is correct
48 Correct 305 ms 28096 KB Output is correct
49 Correct 298 ms 28092 KB Output is correct
50 Correct 343 ms 21944 KB Output is correct
51 Correct 395 ms 22192 KB Output is correct
52 Correct 309 ms 28096 KB Output is correct
53 Correct 301 ms 28084 KB Output is correct
54 Correct 346 ms 22428 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 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 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 20 ms 3904 KB Output is correct
30 Correct 16 ms 1588 KB Output is correct
31 Correct 15 ms 1568 KB Output is correct
32 Correct 13 ms 3724 KB Output is correct
33 Correct 13 ms 3624 KB Output is correct
34 Correct 14 ms 2020 KB Output is correct
35 Correct 13 ms 2004 KB Output is correct
36 Correct 16 ms 3524 KB Output is correct
37 Correct 17 ms 1620 KB Output is correct
38 Correct 15 ms 1992 KB Output is correct
39 Correct 16 ms 1696 KB Output is correct
40 Correct 12 ms 1620 KB Output is correct
41 Correct 12 ms 1520 KB Output is correct
42 Correct 10 ms 1536 KB Output is correct
43 Correct 185 ms 12996 KB Output is correct
44 Correct 325 ms 22700 KB Output is correct
45 Correct 332 ms 22460 KB Output is correct
46 Correct 204 ms 22580 KB Output is correct
47 Correct 213 ms 22836 KB Output is correct
48 Correct 305 ms 28096 KB Output is correct
49 Correct 298 ms 28092 KB Output is correct
50 Correct 343 ms 21944 KB Output is correct
51 Correct 395 ms 22192 KB Output is correct
52 Correct 309 ms 28096 KB Output is correct
53 Correct 301 ms 28084 KB Output is correct
54 Correct 346 ms 22428 KB Output is correct
55 Correct 3854 ms 143928 KB Output is correct
56 Runtime error 723 ms 398544 KB Execution killed with signal 11
57 Halted 0 ms 0 KB -