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답안 #1040749

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1040749 2024-08-01T08:55:07 Z 1557중연결요소(#11043) Tricks of the Trade (CEOI23_trade) C++17
55 / 100
 929 ms 284572 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int INF = 1e18;
int A[250005];
int B[250005];
int C[250005];
int D[250005];
vector<array<int, 2>> V;
int ans = -INF;
int K;
int F[250005];
struct SegTree {
    struct Node {
        int l, r, cnt, sum;
        Node():l(-1),r(-1),cnt(0),sum(0) {}
        Node(int c) : l(-1), r(-1), cnt(1), sum(c) {}
    };
    vector<Node> seg;
    vector<int> root;
    int MAX;
    void init(int N) {
        int i;
        for(i=1;i<N;i*=2) {}
        MAX = i;
        seg.clear();
        root.clear();
        seg.push_back(Node());
        root.push_back(0);
        cons(0, 0, MAX);
    }
    void cons(int n, int s, int e) {
        seg[n].cnt = 0, seg[n].sum = 0;
        int mid = s + e >> 1;
        //cout << s << ' ' << e << ' ' << v << '\n';
        if(s != mid) {
            seg[n].l = seg.size();
            seg.push_back(Node());
            cons(seg[n].l, s, mid);
            seg[n].r = seg.size();
            seg.push_back(Node());
            cons(seg[n].r, mid, e);
        }
        //cout << s << ' ' << e << ' ' << v << '\n';
        //cout << seg[v].l <<' ' << seg[v].r << '\n';
    }
    void add(int k, int v, int n2, int n, int ns, int ne) {
        seg[n2].l = seg[n].l;
        seg[n2].r = seg[n].r;
        seg[n2].cnt = seg[n].cnt + 1;
        seg[n2].sum = seg[n].sum + v;
        //cout << k << ' ' << v << ' ' << n << ' ' << ns << ' ' << ne << '\n';
        if(ns+1==ne) {
            return;
        }
        int mid = ns + ne >> 1;
        if(mid <= k) {
            seg[n2].r = seg.size();
            seg.push_back(Node());
            add(k, v, seg[n2].r, seg[n].r, mid, ne);
        }
        else {
            seg[n2].l = seg.size();
            seg.push_back(Node());
            add(k, v, seg[n2].l, seg[n].l, ns, mid);
        }
    }
    void add_node(int k, int v) {
        //cout << "ADD:" << k << ' ' << v << '\n';
        int prv = root.back();
        root.push_back(seg.size());
        seg.push_back(Node());
        add(k, v, root.back(), prv, 0, MAX);
    }
    int get_val(int n1, int n2, int ns, int ne, int k) {
        //cout << n1 << ' ' << n2 <<' ' << ns << ' ' << ne << ' ' << k << '\n';
        if(k==0) return 0;
        if(ns+1==ne) return seg[n1].sum - seg[n2].sum;
        int r1 = seg[n1].r, r2 = seg[n2].r;
        assert(r1 != -1 && r2 != -1);
        int v = seg[r1].cnt - seg[r2].cnt;
        if(v==k) {
            int res = seg[r1].sum - seg[r2].sum;
            //cout << n1 << ' ' << n2 << ' ' << res << '\n';
            return res;
        }
        int mid = ns + ne >> 1;
        if(v < k) {
            int res = seg[r1].sum - seg[r2].sum + get_val(seg[n1].l, seg[n2].l, ns, mid, k-v);
            //cout << n1 << ' ' << n2 << ' ' << res << '\n';
            return res;
        }
        int res = get_val(r1, r2, mid, ne, k);
        //cout << n1 << ' ' << n2 << ' ' << res << '\n';
        return res;
    }
    int get_calc(int s, int e, int k) {
        int res = get_val(root[e+1], root[s], 0, MAX, k);
        //cout << s+1 << ' ' << e+1 << " : " << res << '\n';
        return res;
    }
};
SegTree tree;
int G[250005];
void tree_cons(int N) {
    int i, j;
    tree.init(N+3);
    /*cout << "init done\n";
    for(i=0;i<tree.seg.size();i++) {
        cout << i << " : " << tree.seg[i].l <<' ' << tree.seg[i].r << ' ' << tree.seg[i].cnt <<' ' << tree.seg[i].sum << '\n';
    }
    for(i=0;i<tree.root.size();i++) cout <<tree.root[i] << ' ';
    cout << '\n';*/
    vector<array<int, 2>> V2;
    for(i=0;i<N;i++) V2.push_back({B[i], i});
    sort(V2.begin(),V2.end());
    for(i=0;i<N;i++) G[V2[i][1]] = i;
    for(i=0;i<N;i++) tree.add_node(G[i], B[i]);
    /*for(i=0;i<tree.seg.size();i++) {
        cout << i << " : " << tree.seg[i].l <<' ' << tree.seg[i].r << ' ' << tree.seg[i].cnt <<' ' << tree.seg[i].sum << '\n';
    }
    for(i=0;i<tree.root.size();i++) cout <<tree.root[i] << ' ';
    cout << '\n';*/
}
int calc_val(int s, int e) {
    int res = tree.get_calc(s, e, K) - (F[e] - (s-1>=0?F[s-1]:0));
    //cout << s+1 <<' ' << e+1 << " : " << res <<'\n';
    return res;
}
void calc(int n, int s, int e) {
    int i, j;
    int ma = -INF, id = -1;
    int sum = 0;
    for(i=s;i<=e;i++) {
        if(n+K-1>s) continue;
        if(calc_val(n, i) == ans) {
            V.push_back({n, i});
        }
    }
}
void DnC(int s, int e, int a, int b) {
    if(s>e) return;
    int i, j;
    a = max(a, s+K-1);
    int mid = s + e >> 1;
    int ma = -INF, id = b;
    //cout <<"DNC: " << s << ' ' << e << ' ' << a << ' ' << b << '\n';
    for(i=max(mid+K-1, a); i <= b; i++) {
        int v = calc_val(mid, i);
        if(v > ma) {
            ma = v;
            id = i;
        }
    }
    C[mid] = ma, D[mid] = id;
    if(ma > ans) ans = ma;
    DnC(s, mid-1, a, id);
    DnC(mid+1, e, id, b);
}
int E[250005];
signed main() {
    cin.sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int N;
    cin >> N >> K;
    int i, j;
    for(i=0;i<N;i++) cin >> A[i];
    for(i=0;i<N;i++) F[i] = A[i];
    for(i=1;i<N;i++) F[i] += F[i-1];
    for(i=0;i<N;i++) cin >> B[i];
    tree_cons(N);
    DnC(0, N-1, 0, N-1);
    vector<int> pos;
    for(i=0;i<N;i++) {
        if(C[i]==ans) pos.push_back(i);
    }
    pos.push_back(N);
    D[N] = N;
    //cout << ans << '\n';
    for(int i=0;i<pos.size();i++) {
        int n = pos[i];
        if(n==N) continue;
        V.push_back({n, D[n]});
        calc(pos[i], D[pos[i]], D[pos[i+1]]-1);
    }
    vector<vector<array<int, 2>>> in, out;
    in.resize(N);
    out.resize(N);
    int cnt = 0;
    for(auto k : V) {
        //k[0] ~ k[1]
        // kth element <= a[i] -> ?
        int v = (ans + F[k[1]] - (k[0]-1>=0?F[k[0]-1]:0)) - tree.get_calc(k[0], k[1], K-1);
        in[k[0]].push_back({v, cnt});
        out[k[1]].push_back({v, cnt});
        cnt++;
    }
    /*for(i=0;i<N;i++) cout << D[i] <<' ';
    cout << '\n';
    for(auto k : V) cout << k[0]+1 << ' ' << k[1]+1 << '\n';*/
    cout << ans <<'\n';
    set<array<int, 2>> S;
    for(i=0;i<N;i++) {
        for(auto n : in[i]) {
            S.insert(n);
        }
        if(!S.empty() && B[i] >= (*S.begin())[0]) cout << "1";
        else cout << "0";
        for(auto n : out[i]) {
            S.erase(n);
        }
    }
}

Compilation message

trade.cpp: In member function 'void SegTree::cons(long long int, long long int, long long int)':
trade.cpp:34:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   34 |         int mid = s + e >> 1;
      |                   ~~^~~
trade.cpp: In member function 'void SegTree::add(long long int, long long int, long long int, long long int, long long int, long long int)':
trade.cpp:56:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   56 |         int mid = ns + ne >> 1;
      |                   ~~~^~~~
trade.cpp: In member function 'long long int SegTree::get_val(long long int, long long int, long long int, long long int, long long int)':
trade.cpp:87:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   87 |         int mid = ns + ne >> 1;
      |                   ~~~^~~~
trade.cpp: In function 'void tree_cons(long long int)':
trade.cpp:106:12: warning: unused variable 'j' [-Wunused-variable]
  106 |     int i, j;
      |            ^
trade.cpp: In function 'void calc(long long int, long long int, long long int)':
trade.cpp:131:12: warning: unused variable 'j' [-Wunused-variable]
  131 |     int i, j;
      |            ^
trade.cpp:132:9: warning: unused variable 'ma' [-Wunused-variable]
  132 |     int ma = -INF, id = -1;
      |         ^~
trade.cpp:132:20: warning: unused variable 'id' [-Wunused-variable]
  132 |     int ma = -INF, id = -1;
      |                    ^~
trade.cpp:133:9: warning: unused variable 'sum' [-Wunused-variable]
  133 |     int sum = 0;
      |         ^~~
trade.cpp: In function 'void DnC(long long int, long long int, long long int, long long int)':
trade.cpp:145:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  145 |     int mid = s + e >> 1;
      |               ~~^~~
trade.cpp:143:12: warning: unused variable 'j' [-Wunused-variable]
  143 |     int i, j;
      |            ^
trade.cpp: In function 'int main()':
trade.cpp:181:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  181 |     for(int i=0;i<pos.size();i++) {
      |                 ~^~~~~~~~~~~
trade.cpp:167:12: warning: unused variable 'j' [-Wunused-variable]
  167 |     int i, j;
      |            ^

Subtask #0
0.0 / 0.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 12636 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct

Subtask #1
5.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 12636 KB Output is correct
4 Correct 2 ms 12808 KB Output is correct
5 Correct 2 ms 12888 KB Output is correct
6 Correct 1 ms 12892 KB Output is correct
7 Correct 1 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 1 ms 12892 KB Output is correct
10 Correct 1 ms 12892 KB Output is correct
11 Partially correct 1 ms 12892 KB Partially correct

Subtask #2
5.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 1 ms 12636 KB Output is correct
4 Correct 2 ms 12808 KB Output is correct
5 Correct 2 ms 12888 KB Output is correct
6 Correct 1 ms 12892 KB Output is correct
7 Correct 1 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 1 ms 12892 KB Output is correct
10 Correct 1 ms 12892 KB Output is correct
11 Partially correct 1 ms 12892 KB Partially correct
12 Correct 1 ms 12636 KB Output is correct
13 Correct 1 ms 12632 KB Output is correct
14 Correct 1 ms 12636 KB Output is correct
15 Correct 1 ms 12756 KB Output is correct
16 Correct 1 ms 12892 KB Output is correct
17 Correct 1 ms 12892 KB Output is correct
18 Correct 1 ms 12892 KB Output is correct
19 Correct 2 ms 12892 KB Output is correct
20 Correct 1 ms 12892 KB Output is correct
21 Correct 2 ms 12888 KB Output is correct
22 Partially correct 1 ms 12892 KB Partially correct
23 Correct 5 ms 16284 KB Output is correct
24 Correct 11 ms 17104 KB Output is correct
25 Correct 9 ms 16336 KB Output is correct
26 Correct 13 ms 17360 KB Output is correct
27 Correct 8 ms 16848 KB Output is correct
28 Correct 7 ms 16848 KB Output is correct
29 Correct 7 ms 16168 KB Output is correct

Subtask #3
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 12636 KB Output is correct
2 Correct 314 ms 283152 KB Output is correct
3 Correct 361 ms 283052 KB Output is correct
4 Correct 647 ms 282768 KB Output is correct
5 Correct 659 ms 283604 KB Output is correct
6 Correct 522 ms 283084 KB Output is correct
7 Correct 929 ms 283260 KB Output is correct
8 Correct 336 ms 282524 KB Output is correct
9 Correct 380 ms 283788 KB Output is correct
10 Correct 402 ms 283792 KB Output is correct

Subtask #4
10.0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 12636 KB Output is correct
2 Correct 314 ms 283152 KB Output is correct
3 Correct 361 ms 283052 KB Output is correct
4 Correct 647 ms 282768 KB Output is correct
5 Correct 659 ms 283604 KB Output is correct
6 Correct 522 ms 283084 KB Output is correct
7 Correct 929 ms 283260 KB Output is correct
8 Correct 336 ms 282524 KB Output is correct
9 Correct 380 ms 283788 KB Output is correct
10 Correct 402 ms 283792 KB Output is correct
11 Correct 1 ms 12636 KB Output is correct
12 Correct 329 ms 284208 KB Output is correct
13 Correct 376 ms 283356 KB Output is correct
14 Correct 664 ms 283012 KB Output is correct
15 Correct 704 ms 282840 KB Output is correct
16 Correct 515 ms 284384 KB Output is correct
17 Correct 900 ms 283164 KB Output is correct
18 Correct 331 ms 283048 KB Output is correct
19 Correct 353 ms 283032 KB Output is correct
20 Correct 375 ms 284060 KB Output is correct
21 Correct 1 ms 12632 KB Output is correct
22 Correct 1 ms 12636 KB Output is correct
23 Correct 1 ms 12892 KB Output is correct
24 Correct 2 ms 12892 KB Output is correct
25 Correct 2 ms 12892 KB Output is correct
26 Correct 2 ms 12892 KB Output is correct
27 Correct 2 ms 12892 KB Output is correct
28 Correct 2 ms 12892 KB Output is correct
29 Correct 1 ms 12892 KB Output is correct
30 Partially correct 1 ms 12892 KB Partially correct
31 Correct 399 ms 283084 KB Output is correct
32 Correct 855 ms 283040 KB Output is correct
33 Correct 854 ms 282768 KB Output is correct
34 Correct 629 ms 283756 KB Output is correct
35 Correct 516 ms 284384 KB Output is correct
36 Correct 893 ms 283124 KB Output is correct
37 Correct 454 ms 284332 KB Output is correct

Subtask #5
25.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 12636 KB Output is correct
2 Correct 1 ms 12636 KB Output is correct
3 Correct 2 ms 12632 KB Output is correct
4 Correct 1 ms 12636 KB Output is correct
5 Correct 1 ms 12636 KB Output is correct
6 Correct 2 ms 12808 KB Output is correct
7 Correct 2 ms 12888 KB Output is correct
8 Correct 1 ms 12892 KB Output is correct
9 Correct 1 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 1 ms 12892 KB Output is correct
12 Correct 1 ms 12892 KB Output is correct
13 Partially correct 1 ms 12892 KB Partially correct
14 Correct 1 ms 12636 KB Output is correct
15 Correct 1 ms 12632 KB Output is correct
16 Correct 1 ms 12636 KB Output is correct
17 Correct 1 ms 12756 KB Output is correct
18 Correct 1 ms 12892 KB Output is correct
19 Correct 1 ms 12892 KB Output is correct
20 Correct 1 ms 12892 KB Output is correct
21 Correct 2 ms 12892 KB Output is correct
22 Correct 1 ms 12892 KB Output is correct
23 Correct 2 ms 12888 KB Output is correct
24 Partially correct 1 ms 12892 KB Partially correct
25 Correct 5 ms 16284 KB Output is correct
26 Correct 11 ms 17104 KB Output is correct
27 Correct 9 ms 16336 KB Output is correct
28 Correct 13 ms 17360 KB Output is correct
29 Correct 8 ms 16848 KB Output is correct
30 Correct 7 ms 16848 KB Output is correct
31 Correct 7 ms 16168 KB Output is correct
32 Correct 1 ms 12636 KB Output is correct
33 Correct 314 ms 283152 KB Output is correct
34 Correct 361 ms 283052 KB Output is correct
35 Correct 647 ms 282768 KB Output is correct
36 Correct 659 ms 283604 KB Output is correct
37 Correct 522 ms 283084 KB Output is correct
38 Correct 929 ms 283260 KB Output is correct
39 Correct 336 ms 282524 KB Output is correct
40 Correct 380 ms 283788 KB Output is correct
41 Correct 402 ms 283792 KB Output is correct
42 Correct 1 ms 12636 KB Output is correct
43 Correct 329 ms 284208 KB Output is correct
44 Correct 376 ms 283356 KB Output is correct
45 Correct 664 ms 283012 KB Output is correct
46 Correct 704 ms 282840 KB Output is correct
47 Correct 515 ms 284384 KB Output is correct
48 Correct 900 ms 283164 KB Output is correct
49 Correct 331 ms 283048 KB Output is correct
50 Correct 353 ms 283032 KB Output is correct
51 Correct 375 ms 284060 KB Output is correct
52 Correct 1 ms 12632 KB Output is correct
53 Correct 1 ms 12636 KB Output is correct
54 Correct 1 ms 12892 KB Output is correct
55 Correct 2 ms 12892 KB Output is correct
56 Correct 2 ms 12892 KB Output is correct
57 Correct 2 ms 12892 KB Output is correct
58 Correct 2 ms 12892 KB Output is correct
59 Correct 2 ms 12892 KB Output is correct
60 Correct 1 ms 12892 KB Output is correct
61 Partially correct 1 ms 12892 KB Partially correct
62 Correct 399 ms 283084 KB Output is correct
63 Correct 855 ms 283040 KB Output is correct
64 Correct 854 ms 282768 KB Output is correct
65 Correct 629 ms 283756 KB Output is correct
66 Correct 516 ms 284384 KB Output is correct
67 Correct 893 ms 283124 KB Output is correct
68 Correct 454 ms 284332 KB Output is correct
69 Correct 1 ms 12636 KB Output is correct
70 Correct 323 ms 282884 KB Output is correct
71 Correct 382 ms 282592 KB Output is correct
72 Correct 629 ms 284308 KB Output is correct
73 Correct 606 ms 283540 KB Output is correct
74 Correct 480 ms 284312 KB Output is correct
75 Correct 734 ms 282868 KB Output is correct
76 Correct 301 ms 282772 KB Output is correct
77 Correct 310 ms 283544 KB Output is correct
78 Correct 365 ms 283632 KB Output is correct
79 Correct 1 ms 12636 KB Output is correct
80 Correct 2 ms 12636 KB Output is correct
81 Correct 2 ms 12892 KB Output is correct
82 Correct 2 ms 12892 KB Output is correct
83 Correct 1 ms 12892 KB Output is correct
84 Correct 1 ms 12892 KB Output is correct
85 Correct 2 ms 12892 KB Output is correct
86 Correct 1 ms 12892 KB Output is correct
87 Correct 1 ms 12892 KB Output is correct
88 Partially correct 2 ms 12888 KB Partially correct
89 Correct 365 ms 283160 KB Output is correct
90 Correct 635 ms 283424 KB Output is correct
91 Correct 687 ms 283536 KB Output is correct
92 Correct 555 ms 282768 KB Output is correct
93 Correct 482 ms 282772 KB Output is correct
94 Correct 661 ms 284172 KB Output is correct
95 Correct 430 ms 284048 KB Output is correct
96 Correct 5 ms 16596 KB Output is correct
97 Correct 9 ms 17192 KB Output is correct
98 Correct 10 ms 16336 KB Output is correct
99 Correct 11 ms 17104 KB Output is correct
100 Correct 7 ms 17360 KB Output is correct
101 Correct 6 ms 16848 KB Output is correct
102 Correct 6 ms 16280 KB Output is correct
103 Correct 389 ms 283204 KB Output is correct
104 Correct 502 ms 284304 KB Output is correct
105 Correct 585 ms 283528 KB Output is correct
106 Correct 792 ms 283028 KB Output is correct
107 Correct 189 ms 283284 KB Output is correct
108 Correct 436 ms 283792 KB Output is correct
109 Correct 442 ms 284572 KB Output is correct
110 Correct 474 ms 284308 KB Output is correct
111 Correct 229 ms 282768 KB Output is correct
112 Partially correct 589 ms 282584 KB Partially correct