oj.uz

Submission #632962

# Submission time Handle Problem Language Result Execution time Memory
632962 2022-08-21T10:03:16 Z qwerasdfzxcl Ants and Sugar (JOI22_sugar) C++17
100 / 100
 3176 ms 133960 KB 
#include <bits/stdc++.h>

typedef long long ll;
using namespace std;
const ll INF = 4e18;

struct P{
    ll x;
    int c;
    P(){}
    P(ll _x, int _c): x(_x), c(_c) {}
    bool operator < (const P &p) const{return x < p.x;}
    P operator + (const P &p) const{return P(x + p.x, c + p.c);}
};

struct Node{
    P ans[2][2];
    ll one[2][2];
    Node(){}
    Node(ll c, ll d){
        ans[0][0] = P(-c, 0);
        ans[0][1] = P(-INF, 0);
        ans[1][0] = P(-INF, 0);
        ans[1][1] = P(d, 1);

        one[0][0] = -c;
        one[0][1] = -INF;
        one[1][0] = -INF;
        one[1][1] = d;
    }

    void pcd(ll x){
        ans[0][0].x -= x;
        ans[1][1].x += x;
        one[0][0] -= x;
        one[1][1] += x;
    }

    void pd(ll x){
        assert(x<0);
        one[0][1] += x;
        one[1][0] += x;
        one[1][1] += x;

        for (int i=0;i<2;i++){
            for (int j=0;j<2;j++){
                assert(ans[i][j].c <= 2);
                ans[i][j].x += x * ans[i][j].c;

                if (ans[i][j].x < one[i][j]){
                    ans[i][j].x = one[i][j];
                    if (i || j) ans[i][j].c = 1;
                    else ans[i][j].c = 0;
                }
            }
        }
    }

    Node operator + (const Node &N) const{
        Node ret;
        for (int i=0;i<2;i++){
            for (int j=0;j<2;j++){
                ret.ans[i][j] = max(ans[i][j], N.ans[i][j]);
                ret.one[i][j] = max(one[i][j], N.one[i][j]);
                for (int k=0;k<2;k++) ret.ans[i][j] = max(ret.ans[i][j], ans[i][k] + N.ans[k^1][j]);
            }
        }

        ret.one[0][1] = max(ret.one[0][1], one[0][0] + N.one[1][1]);
        ret.one[1][0] = max(ret.one[1][0], one[1][1] + N.one[0][0]);
        return ret;
    }
};

struct Seg{
    Node tree[1101000];
    pair<ll, ll> lazy[1101000];
    void init(int i, int l, int r){
        lazy[i] = {0, 0};
        if (l==r) {tree[i] = Node(0, 0); return;}

        int m = (l+r)>>1;
        init(i<<1, l, m); init(i<<1|1, m+1, r);
        tree[i] = tree[i<<1] + tree[i<<1|1];
    }
    void propagate(int i, int l, int r){
        if (lazy[i].first) tree[i].pcd(lazy[i].first);
        if (lazy[i].second) tree[i].pd(lazy[i].second);

        if (l!=r){
            lazy[i<<1].first += lazy[i].first;
            lazy[i<<1].second += lazy[i].second;

            lazy[i<<1|1].first += lazy[i].first;
            lazy[i<<1|1].second += lazy[i].second;
        }

        lazy[i] = {0, 0};
    }
    void update1(int i, int l, int r, int s, int e, ll x){
        propagate(i, l, r);
        if (r<s || e<l) return;
        if (s<=l && r<=e){
            lazy[i].first += x;
            propagate(i, l, r);
            return;
        }

        int m = (l+r)>>1;
        update1(i<<1, l, m, s, e, x); update1(i<<1|1, m+1, r, s, e, x);
        tree[i] = tree[i<<1] + tree[i<<1|1];
    }
    void update2(int i, int l, int r, int s, int e, ll x){
        propagate(i, l, r);
        if (r<s || e<l) return;
        if (s<=l && r<=e){
            lazy[i].second += x;
            propagate(i, l, r);
            return;
        }

        int m = (l+r)>>1;
        update2(i<<1, l, m, s, e, x); update2(i<<1|1, m+1, r, s, e, x);
        tree[i] = tree[i<<1] + tree[i<<1|1];
    }
}tree;

vector<int> C[3];
int T[500500], X[500500], A[500500], d;

int main(){
    cin.tie(NULL);
    ios_base::sync_with_stdio(false);

    int q;
    cin >> q >> d;
    for (int i=1;i<=q;i++){
        cin >> T[i] >> X[i] >> A[i];
        C[T[i]].push_back(X[i]);
        C[T[i]].push_back(X[i]-1);
    }
    int ant = C[1].size()<C[2].size()?1:2;

    C[ant].push_back(0);

    sort(C[ant].begin(), C[ant].end());
    C[ant].erase(unique(C[ant].begin(), C[ant].end()), C[ant].end());

    int sz = C[ant].size();
    tree.init(1, 1, sz);

    ll cur = 0;
    for (int i=1;i<=q;i++){
        if (T[i]==ant){
            int idx = lower_bound(C[ant].begin(), C[ant].end(), X[i]) - C[ant].begin() + 1;
            tree.update1(1, 1, sz, idx, sz, A[i]);
            cur += A[i];
        }
        else{
            int idx1 = lower_bound(C[ant].begin(), C[ant].end(), X[i]-d) - C[ant].begin() + 1;
            int idx2 = lower_bound(C[ant].begin(), C[ant].end(), X[i]+d) - C[ant].begin() + 1;
            tree.update1(1, 1, sz, idx2, sz, -A[i]);
            tree.update2(1, 1, sz, idx1, idx2-1, -A[i]);
        }

        ll ans = cur - max(tree.tree[1].ans[0][1].x, 0LL);
        printf("%lld\n", ans);
    }
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 17492 KB Output is correct
2 Correct 7 ms 17568 KB Output is correct
3 Correct 8 ms 17492 KB Output is correct
4 Correct 9 ms 17492 KB Output is correct
5 Correct 8 ms 17492 KB Output is correct
6 Correct 11 ms 18004 KB Output is correct
7 Correct 11 ms 17952 KB Output is correct
8 Correct 11 ms 17828 KB Output is correct
9 Correct 11 ms 17800 KB Output is correct
10 Correct 18 ms 18516 KB Output is correct
11 Correct 13 ms 18516 KB Output is correct
12 Correct 14 ms 18516 KB Output is correct
13 Correct 21 ms 18564 KB Output is correct
14 Correct 10 ms 17620 KB Output is correct
15 Correct 11 ms 17648 KB Output is correct
16 Correct 12 ms 17712 KB Output is correct
17 Correct 8 ms 17676 KB Output is correct
18 Correct 12 ms 17712 KB Output is correct
19 Correct 12 ms 18516 KB Output is correct
20 Correct 8 ms 17608 KB Output is correct
21 Correct 14 ms 18500 KB Output is correct
22 Correct 7 ms 17652 KB Output is correct
23 Correct 22 ms 18456 KB Output is correct
24 Correct 8 ms 17620 KB Output is correct
25 Correct 13 ms 18516 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17492 KB Output is correct
2 Correct 7 ms 17492 KB Output is correct
3 Correct 7 ms 17572 KB Output is correct
4 Correct 1241 ms 79420 KB Output is correct
5 Correct 562 ms 75448 KB Output is correct
6 Correct 1566 ms 96784 KB Output is correct
7 Correct 694 ms 75432 KB Output is correct
8 Correct 1937 ms 133288 KB Output is correct
9 Correct 1272 ms 133960 KB Output is correct
10 Correct 1852 ms 133292 KB Output is correct
11 Correct 1255 ms 133888 KB Output is correct
12 Correct 515 ms 73252 KB Output is correct
13 Correct 741 ms 124892 KB Output is correct
14 Correct 1264 ms 130340 KB Output is correct
15 Correct 1194 ms 130416 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 17492 KB Output is correct
2 Correct 538 ms 73244 KB Output is correct
3 Correct 803 ms 125020 KB Output is correct
4 Correct 1535 ms 130412 KB Output is correct
5 Correct 1232 ms 130616 KB Output is correct
6 Correct 1372 ms 127436 KB Output is correct
7 Correct 107 ms 24736 KB Output is correct
8 Correct 820 ms 72664 KB Output is correct
9 Correct 1247 ms 75512 KB Output is correct
10 Correct 2083 ms 130188 KB Output is correct
11 Correct 2119 ms 130240 KB Output is correct
12 Correct 2313 ms 130196 KB Output is correct
13 Correct 2432 ms 130228 KB Output is correct
14 Correct 2180 ms 130252 KB Output is correct
15 Correct 2411 ms 129920 KB Output is correct
16 Correct 2459 ms 130164 KB Output is correct
17 Correct 2284 ms 130328 KB Output is correct
18 Correct 2554 ms 130256 KB Output is correct
19 Correct 2594 ms 130272 KB Output is correct
20 Correct 2720 ms 130332 KB Output is correct
21 Correct 3176 ms 130244 KB Output is correct
22 Correct 3044 ms 130344 KB Output is correct
23 Correct 2563 ms 130236 KB Output is correct
24 Correct 1233 ms 130348 KB Output is correct
25 Correct 2133 ms 130336 KB Output is correct

Subtask #4
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 17492 KB Output is correct
2 Correct 7 ms 17568 KB Output is correct
3 Correct 8 ms 17492 KB Output is correct
4 Correct 9 ms 17492 KB Output is correct
5 Correct 8 ms 17492 KB Output is correct
6 Correct 11 ms 18004 KB Output is correct
7 Correct 11 ms 17952 KB Output is correct
8 Correct 11 ms 17828 KB Output is correct
9 Correct 11 ms 17800 KB Output is correct
10 Correct 18 ms 18516 KB Output is correct
11 Correct 13 ms 18516 KB Output is correct
12 Correct 14 ms 18516 KB Output is correct
13 Correct 21 ms 18564 KB Output is correct
14 Correct 10 ms 17620 KB Output is correct
15 Correct 11 ms 17648 KB Output is correct
16 Correct 12 ms 17712 KB Output is correct
17 Correct 8 ms 17676 KB Output is correct
18 Correct 12 ms 17712 KB Output is correct
19 Correct 12 ms 18516 KB Output is correct
20 Correct 8 ms 17608 KB Output is correct
21 Correct 14 ms 18500 KB Output is correct
22 Correct 7 ms 17652 KB Output is correct
23 Correct 22 ms 18456 KB Output is correct
24 Correct 8 ms 17620 KB Output is correct
25 Correct 13 ms 18516 KB Output is correct
26 Correct 8 ms 17492 KB Output is correct
27 Correct 7 ms 17492 KB Output is correct
28 Correct 7 ms 17572 KB Output is correct
29 Correct 1241 ms 79420 KB Output is correct
30 Correct 562 ms 75448 KB Output is correct
31 Correct 1566 ms 96784 KB Output is correct
32 Correct 694 ms 75432 KB Output is correct
33 Correct 1937 ms 133288 KB Output is correct
34 Correct 1272 ms 133960 KB Output is correct
35 Correct 1852 ms 133292 KB Output is correct
36 Correct 1255 ms 133888 KB Output is correct
37 Correct 515 ms 73252 KB Output is correct
38 Correct 741 ms 124892 KB Output is correct
39 Correct 1264 ms 130340 KB Output is correct
40 Correct 1194 ms 130416 KB Output is correct
41 Correct 7 ms 17492 KB Output is correct
42 Correct 538 ms 73244 KB Output is correct
43 Correct 803 ms 125020 KB Output is correct
44 Correct 1535 ms 130412 KB Output is correct
45 Correct 1232 ms 130616 KB Output is correct
46 Correct 1372 ms 127436 KB Output is correct
47 Correct 107 ms 24736 KB Output is correct
48 Correct 820 ms 72664 KB Output is correct
49 Correct 1247 ms 75512 KB Output is correct
50 Correct 2083 ms 130188 KB Output is correct
51 Correct 2119 ms 130240 KB Output is correct
52 Correct 2313 ms 130196 KB Output is correct
53 Correct 2432 ms 130228 KB Output is correct
54 Correct 2180 ms 130252 KB Output is correct
55 Correct 2411 ms 129920 KB Output is correct
56 Correct 2459 ms 130164 KB Output is correct
57 Correct 2284 ms 130328 KB Output is correct
58 Correct 2554 ms 130256 KB Output is correct
59 Correct 2594 ms 130272 KB Output is correct
60 Correct 2720 ms 130332 KB Output is correct
61 Correct 3176 ms 130244 KB Output is correct
62 Correct 3044 ms 130344 KB Output is correct
63 Correct 2563 ms 130236 KB Output is correct
64 Correct 1233 ms 130348 KB Output is correct
65 Correct 2133 ms 130336 KB Output is correct
66 Correct 930 ms 76780 KB Output is correct
67 Correct 1101 ms 78716 KB Output is correct
68 Correct 1316 ms 130224 KB Output is correct
69 Correct 1232 ms 79760 KB Output is correct
70 Correct 1674 ms 133228 KB Output is correct
71 Correct 1778 ms 133460 KB Output is correct
72 Correct 1748 ms 133452 KB Output is correct
73 Correct 1804 ms 133488 KB Output is correct
74 Correct 171 ms 28556 KB Output is correct
75 Correct 1065 ms 37104 KB Output is correct
76 Correct 1052 ms 37208 KB Output is correct
77 Correct 168 ms 28536 KB Output is correct
78 Correct 174 ms 28428 KB Output is correct
79 Correct 1893 ms 133480 KB Output is correct
80 Correct 178 ms 28472 KB Output is correct
81 Correct 1767 ms 133408 KB Output is correct
82 Correct 167 ms 28432 KB Output is correct
83 Correct 2068 ms 133556 KB Output is correct
84 Correct 173 ms 28476 KB Output is correct
85 Correct 2190 ms 133560 KB Output is correct
86 Correct 237 ms 28432 KB Output is correct
87 Correct 2168 ms 133568 KB Output is correct
88 Correct 181 ms 28472 KB Output is correct
89 Correct 919 ms 85048 KB Output is correct