Submission #670347

# Submission time Handle Problem Language Result Execution time Memory
670347 2022-12-08T17:22:30 Z bachhoangxuan Financial Report (JOI21_financial) C++17
100 / 100
349 ms 32036 KB
#include<bits/stdc++.h>
using namespace std;
#define maxn 300005
#define pii pair<int,int>
int n,d,a[maxn],Min[maxn],rr[maxn],dp[maxn];
vector<int> p,pos[maxn];
namespace ST{
    int tree[4*maxn];
    void build(int l,int r,int id){
        if(l==r){
            tree[id]=-1;
            return;
        }
        int mid=(l+r)>>1;
        build(l,mid,id<<1);build(mid+1,r,id<<1|1);
        tree[id]=max(tree[id<<1],tree[id<<1|1]);
    }
    int query(int l,int r,int id,int tl,int tr){
        if(tr<l || r<tl) return -1;
        if(tl<=l && r<=tr) return tree[id];
        int mid=(l+r)>>1;
        return max(query(l,mid,id<<1,tl,tr),query(mid+1,r,id<<1|1,tl,tr));
    }
    void update(int l,int r,int id,int p,int val){
        if(l==r){
            tree[id]=val;
            return;
        }
        int mid=(l+r)>>1;
        if(p<=mid) update(l,mid,id<<1,p,val);
        else update(mid+1,r,id<<1|1,p,val);
        tree[id]=max(tree[id<<1],tree[id<<1|1]);
    }
}
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);cout.tie(NULL);
    cin >> n >> d;
    //Compress numbers
    for(int i=1;i<=n;i++){
        cin >> a[i];
        p.push_back(a[i]);
    }
    sort(p.begin(),p.end());
    p.erase(unique(p.begin(),p.end()),p.end());
    for(int i=1;i<=n;i++) a[i]=lower_bound(p.begin(),p.end(),a[i])-p.begin()+1;
    //calculate Min[i] is the minimum number from i->i+d-1
    priority_queue<pii,vector<pii>,greater<pii>> pq;
    for(int i=n;i>=n-d+1;i--){pq.push({a[i],i});rr[i]=n;}
    for(int i=n-d+1;i>=1;i--){
        while(!pq.empty() && pq.top().second>=i+d) pq.pop();
        Min[i]=pq.top().first;
        pq.push({a[i-1],i-1});
    }
    // calculate r[i] is the farthest that i can go to
    vector<int> v;v.push_back(n-d+1);
    for(int i=n-d;i>=1;i--){
        while(!v.empty() && Min[i]>=Min[v.back()]) v.pop_back();
        v.push_back(i);
        rr[i]=n;
        int lt=0,rt=(int)v.size()-1;
        while(rt>=lt){
            int mid=(lt+rt)>>1;
            if(Min[v[mid]]>a[i]){rr[i]=v[mid]+d-1;lt=mid+1;}
            else rt=mid-1;
        }
    }
    //calculate dp with sort a[i]
    for(int i=1;i<=n;i++) pos[a[i]].push_back(i);
    int ans=0;
    ST::build(1,n,1);
    ST::update(1,n,1,n,0);
    for(int i=n;i>=1;i--){
        for(int x:pos[i]){
            dp[x]=ST::query(1,n,1,x,rr[x])+1;
            ans=max(ans,dp[x]);
        }
        for(int x:pos[i]) ST::update(1,n,1,x,dp[x]);
    }
    cout << ans << '\n';
}

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7384 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7320 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7380 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 3 ms 7380 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 4 ms 7380 KB Output is correct
17 Correct 4 ms 7380 KB Output is correct
18 Correct 4 ms 7380 KB Output is correct
19 Correct 5 ms 7380 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 4 ms 7380 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 4 ms 7380 KB Output is correct
24 Correct 4 ms 7380 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 4 ms 7380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7384 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7320 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7380 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 3 ms 7380 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 4 ms 7380 KB Output is correct
17 Correct 4 ms 7380 KB Output is correct
18 Correct 4 ms 7380 KB Output is correct
19 Correct 5 ms 7380 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 4 ms 7380 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 4 ms 7380 KB Output is correct
24 Correct 4 ms 7380 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 4 ms 7380 KB Output is correct
27 Correct 4 ms 7380 KB Output is correct
28 Correct 3 ms 7296 KB Output is correct
29 Correct 4 ms 7380 KB Output is correct
30 Correct 4 ms 7380 KB Output is correct
31 Correct 4 ms 7380 KB Output is correct
32 Correct 4 ms 7380 KB Output is correct
33 Correct 4 ms 7380 KB Output is correct
34 Correct 4 ms 7380 KB Output is correct
35 Correct 4 ms 7380 KB Output is correct
36 Correct 4 ms 7420 KB Output is correct
37 Correct 4 ms 7380 KB Output is correct
38 Correct 4 ms 7420 KB Output is correct
39 Correct 4 ms 7380 KB Output is correct
40 Correct 4 ms 7380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7384 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7320 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7380 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 3 ms 7380 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 4 ms 7380 KB Output is correct
17 Correct 4 ms 7380 KB Output is correct
18 Correct 4 ms 7380 KB Output is correct
19 Correct 5 ms 7380 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 4 ms 7380 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 4 ms 7380 KB Output is correct
24 Correct 4 ms 7380 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 4 ms 7380 KB Output is correct
27 Correct 4 ms 7380 KB Output is correct
28 Correct 3 ms 7296 KB Output is correct
29 Correct 4 ms 7380 KB Output is correct
30 Correct 4 ms 7380 KB Output is correct
31 Correct 4 ms 7380 KB Output is correct
32 Correct 4 ms 7380 KB Output is correct
33 Correct 4 ms 7380 KB Output is correct
34 Correct 4 ms 7380 KB Output is correct
35 Correct 4 ms 7380 KB Output is correct
36 Correct 4 ms 7420 KB Output is correct
37 Correct 4 ms 7380 KB Output is correct
38 Correct 4 ms 7420 KB Output is correct
39 Correct 4 ms 7380 KB Output is correct
40 Correct 4 ms 7380 KB Output is correct
41 Correct 8 ms 7636 KB Output is correct
42 Correct 8 ms 7796 KB Output is correct
43 Correct 7 ms 7636 KB Output is correct
44 Correct 8 ms 7636 KB Output is correct
45 Correct 8 ms 7636 KB Output is correct
46 Correct 8 ms 7764 KB Output is correct
47 Correct 10 ms 7772 KB Output is correct
48 Correct 9 ms 7764 KB Output is correct
49 Correct 8 ms 7836 KB Output is correct
50 Correct 8 ms 7764 KB Output is correct
51 Correct 8 ms 7788 KB Output is correct
52 Correct 8 ms 7764 KB Output is correct
53 Correct 7 ms 7760 KB Output is correct
54 Correct 8 ms 7860 KB Output is correct
55 Correct 8 ms 7864 KB Output is correct
56 Correct 9 ms 7764 KB Output is correct
57 Correct 8 ms 7764 KB Output is correct
58 Correct 7 ms 7840 KB Output is correct
59 Correct 6 ms 7764 KB Output is correct
60 Correct 7 ms 7764 KB Output is correct
61 Correct 7 ms 7764 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 127 ms 22868 KB Output is correct
2 Correct 163 ms 19700 KB Output is correct
3 Correct 213 ms 19356 KB Output is correct
4 Correct 302 ms 25352 KB Output is correct
5 Correct 244 ms 26688 KB Output is correct
6 Correct 317 ms 26616 KB Output is correct
7 Correct 155 ms 30064 KB Output is correct
8 Correct 141 ms 26676 KB Output is correct
9 Correct 175 ms 28960 KB Output is correct
10 Correct 153 ms 26656 KB Output is correct
11 Correct 239 ms 26652 KB Output is correct
12 Correct 246 ms 26692 KB Output is correct
13 Correct 243 ms 26664 KB Output is correct
14 Correct 265 ms 26620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 132 ms 21772 KB Output is correct
2 Correct 164 ms 19984 KB Output is correct
3 Correct 189 ms 20544 KB Output is correct
4 Correct 294 ms 27836 KB Output is correct
5 Correct 243 ms 27916 KB Output is correct
6 Correct 282 ms 27896 KB Output is correct
7 Correct 147 ms 27908 KB Output is correct
8 Correct 141 ms 27928 KB Output is correct
9 Correct 155 ms 27776 KB Output is correct
10 Correct 210 ms 27832 KB Output is correct
11 Correct 296 ms 27840 KB Output is correct
12 Correct 204 ms 27872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7384 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7320 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7380 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 3 ms 7380 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 4 ms 7380 KB Output is correct
17 Correct 4 ms 7380 KB Output is correct
18 Correct 4 ms 7380 KB Output is correct
19 Correct 5 ms 7380 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 4 ms 7380 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 4 ms 7380 KB Output is correct
24 Correct 4 ms 7380 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 4 ms 7380 KB Output is correct
27 Correct 4 ms 7380 KB Output is correct
28 Correct 3 ms 7296 KB Output is correct
29 Correct 4 ms 7380 KB Output is correct
30 Correct 4 ms 7380 KB Output is correct
31 Correct 4 ms 7380 KB Output is correct
32 Correct 4 ms 7380 KB Output is correct
33 Correct 4 ms 7380 KB Output is correct
34 Correct 4 ms 7380 KB Output is correct
35 Correct 4 ms 7380 KB Output is correct
36 Correct 4 ms 7420 KB Output is correct
37 Correct 4 ms 7380 KB Output is correct
38 Correct 4 ms 7420 KB Output is correct
39 Correct 4 ms 7380 KB Output is correct
40 Correct 4 ms 7380 KB Output is correct
41 Correct 8 ms 7636 KB Output is correct
42 Correct 8 ms 7796 KB Output is correct
43 Correct 7 ms 7636 KB Output is correct
44 Correct 8 ms 7636 KB Output is correct
45 Correct 8 ms 7636 KB Output is correct
46 Correct 8 ms 7764 KB Output is correct
47 Correct 10 ms 7772 KB Output is correct
48 Correct 9 ms 7764 KB Output is correct
49 Correct 8 ms 7836 KB Output is correct
50 Correct 8 ms 7764 KB Output is correct
51 Correct 8 ms 7788 KB Output is correct
52 Correct 8 ms 7764 KB Output is correct
53 Correct 7 ms 7760 KB Output is correct
54 Correct 8 ms 7860 KB Output is correct
55 Correct 8 ms 7864 KB Output is correct
56 Correct 9 ms 7764 KB Output is correct
57 Correct 8 ms 7764 KB Output is correct
58 Correct 7 ms 7840 KB Output is correct
59 Correct 6 ms 7764 KB Output is correct
60 Correct 7 ms 7764 KB Output is correct
61 Correct 7 ms 7764 KB Output is correct
62 Correct 127 ms 22868 KB Output is correct
63 Correct 163 ms 19700 KB Output is correct
64 Correct 213 ms 19356 KB Output is correct
65 Correct 302 ms 25352 KB Output is correct
66 Correct 244 ms 26688 KB Output is correct
67 Correct 317 ms 26616 KB Output is correct
68 Correct 155 ms 30064 KB Output is correct
69 Correct 141 ms 26676 KB Output is correct
70 Correct 175 ms 28960 KB Output is correct
71 Correct 153 ms 26656 KB Output is correct
72 Correct 239 ms 26652 KB Output is correct
73 Correct 246 ms 26692 KB Output is correct
74 Correct 243 ms 26664 KB Output is correct
75 Correct 265 ms 26620 KB Output is correct
76 Correct 132 ms 21772 KB Output is correct
77 Correct 164 ms 19984 KB Output is correct
78 Correct 189 ms 20544 KB Output is correct
79 Correct 294 ms 27836 KB Output is correct
80 Correct 243 ms 27916 KB Output is correct
81 Correct 282 ms 27896 KB Output is correct
82 Correct 147 ms 27908 KB Output is correct
83 Correct 141 ms 27928 KB Output is correct
84 Correct 155 ms 27776 KB Output is correct
85 Correct 210 ms 27832 KB Output is correct
86 Correct 296 ms 27840 KB Output is correct
87 Correct 204 ms 27872 KB Output is correct
88 Correct 219 ms 19008 KB Output is correct
89 Correct 349 ms 26496 KB Output is correct
90 Correct 267 ms 20644 KB Output is correct
91 Correct 314 ms 28764 KB Output is correct
92 Correct 157 ms 21696 KB Output is correct
93 Correct 201 ms 21500 KB Output is correct
94 Correct 308 ms 28368 KB Output is correct
95 Correct 287 ms 29632 KB Output is correct
96 Correct 343 ms 30896 KB Output is correct
97 Correct 340 ms 30804 KB Output is correct
98 Correct 298 ms 31692 KB Output is correct
99 Correct 293 ms 31876 KB Output is correct
100 Correct 286 ms 31880 KB Output is correct
101 Correct 172 ms 31880 KB Output is correct
102 Correct 185 ms 32036 KB Output is correct
103 Correct 213 ms 31968 KB Output is correct
104 Correct 224 ms 32028 KB Output is correct
105 Correct 245 ms 31880 KB Output is correct
106 Correct 220 ms 29628 KB Output is correct
107 Correct 246 ms 29896 KB Output is correct
108 Correct 269 ms 31508 KB Output is correct
109 Correct 257 ms 29704 KB Output is correct
110 Correct 300 ms 31172 KB Output is correct
111 Correct 261 ms 31648 KB Output is correct
112 Correct 234 ms 31692 KB Output is correct
113 Correct 267 ms 31940 KB Output is correct
114 Correct 250 ms 31944 KB Output is correct
115 Correct 147 ms 30896 KB Output is correct
116 Correct 143 ms 30784 KB Output is correct
117 Correct 171 ms 31292 KB Output is correct
118 Correct 163 ms 31292 KB Output is correct
119 Correct 213 ms 31868 KB Output is correct
120 Correct 204 ms 31932 KB Output is correct