Submission #1097468

# Submission time Handle Problem Language Result Execution time Memory
1097468 2024-10-07T12:45:28 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
7000 ms 64440 KB
#include<bits/stdc++.h>

#define MAXN 300007
using namespace std;

const int bucket_sz=500;

int n,a[MAXN],q;

int br[MAXN],maxs,l,r,p[MAXN],len,bucket[MAXN],pos[MAXN],nxt[MAXN][20],pr[MAXN][20],w[MAXN];
long long ans,mult,sum,s[MAXN],res[MAXN];

struct Fenwick{
    long long fenwick[MAXN];

    void update(int x,long long val){
        while(x<=maxs){
            fenwick[x]+=val;
            x+=(x & (-x));
        }
    }

    long long getsum(int x){
        long long res=0;
        
        while(x>=1){
            res+=fenwick[x];
            x^=(x & (-x));
        }

        return res;
    }
}pref,suff,sumpref,sumsuff;

struct query{
    int l,r,id;

    inline friend bool operator < (query fr,query sc){
        if(bucket[fr.l]!=bucket[sc.l])return bucket[fr.l]<bucket[sc.l];
        return fr.r<sc.r;
    }

}qs[MAXN];

long long calc(int x){
    return pref.getsum(x-1)-sumpref.getsum(x-1)*(maxs-x+1) + suff.getsum(maxs-x)-sumsuff.getsum(maxs-x)*x; 
}

void change(int x,long long val){
    long long mul=calc(x);

    ans-=s[x]*calc(x);
    ans-=s[x]*(s[x]-1)/2+s[x];

    s[x]+=val;

    sumpref.update(x,val);
    sumsuff.update(maxs-x+1,val);

    pref.update(x,(maxs-x+2)*val);
    suff.update(maxs-x+1,(x+1)*val);

    ans+=s[x]*calc(x);
    ans+=s[x]*(s[x]-1)/2+s[x];
}

void calcdp(){
    for(int j=1;j<20;j++){
        for(int i=1;i<=n;i++){
            nxt[i][j]=nxt[nxt[i][j-1]][j-1];
            pr[i][j]=pr[pr[i][j-1]][j-1];
        }
    }
}

void add(int x){
    br[x]++;
    change(pos[x],1);

    int z=pos[x];
    for(int s=19;s>=0;s--){
        if(br[w[nxt[z][s]]]<br[x])z=nxt[z][s];
    }

    int y=w[z];

    if(x!=y){
        change(pos[x],br[y]-br[x]);
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }
}

void rem(int x){
    br[x]--;
    change(pos[x],-1);

    int z=pos[x];
    for(int s=19;s>=0;s--){
        if(pr[z][s]!=0 and br[w[pr[z][s]]]>br[x])z=pr[z][s];
    }

    int y=w[z];

    if(x!=y){
        change(pos[x],br[y]-br[x]);
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }
}

int main(){

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n>>q;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        maxs=max(maxs,a[i]);

        bucket[i]=i/bucket_sz;
    }

    for(int i=1;i<=maxs;i++)pos[i]=w[i]=i;

    for(int i=1;i<=maxs;i++){
        if(i<=maxs/2)nxt[i][0]=maxs-i+1;
        else nxt[i][0]=maxs-i+2;
    }
    if(maxs%2==1)nxt[maxs/2+1][0]=maxs/2+1;

    for(int i=1;i<=maxs;i++)pr[nxt[i][0]][0]=i;

    if(maxs%2==1)pr[maxs/2+1][0]=maxs/2+2;
    else pr[maxs/2+1][0]=maxs/2;
    pr[1][0]=0;

    calcdp();

    for(int i=1;i<=q;i++){
        cin>>qs[i].l>>qs[i].r;
        qs[i].id=i;
    }

    sort(qs+1,qs+q+1);

    l=1; r=0;
    for(int i=1;i<=q;i++){
        while(r<qs[i].r){
            r++; add(a[r]);
        }

        while(l>qs[i].l){
            l--; add(a[l]);
        }

        while(r>qs[i].r){
            rem(a[r]); r--;
        }

        while(l<qs[i].l){
            rem(a[l]); l++;
        }

        res[qs[i].id]=ans;
    }

    for(int i=1;i<=q;i++){
        cout<<res[i]<<"\n";
    }
    
    return 0;
}

Compilation message

diversity.cpp: In function 'void change(int, long long int)':
diversity.cpp:50:15: warning: unused variable 'mul' [-Wunused-variable]
   50 |     long long mul=calc(x);
      |               ^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 1 ms 348 KB Output is correct
6 Correct 0 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 2016 KB Output is correct
4 Correct 34 ms 17136 KB Output is correct
5 Correct 68 ms 33696 KB Output is correct
6 Correct 105 ms 50268 KB Output is correct
7 Correct 102 ms 50388 KB Output is correct
8 Correct 110 ms 50256 KB Output is correct
9 Correct 112 ms 50416 KB Output is correct
10 Correct 110 ms 50256 KB Output is correct
11 Correct 104 ms 50264 KB Output is correct
12 Correct 104 ms 50256 KB Output is correct
13 Correct 111 ms 50312 KB Output is correct
14 Correct 104 ms 50416 KB Output is correct
15 Correct 102 ms 50252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 2016 KB Output is correct
4 Correct 34 ms 17136 KB Output is correct
5 Correct 68 ms 33696 KB Output is correct
6 Correct 105 ms 50268 KB Output is correct
7 Correct 102 ms 50388 KB Output is correct
8 Correct 110 ms 50256 KB Output is correct
9 Correct 112 ms 50416 KB Output is correct
10 Correct 110 ms 50256 KB Output is correct
11 Correct 104 ms 50264 KB Output is correct
12 Correct 104 ms 50256 KB Output is correct
13 Correct 111 ms 50312 KB Output is correct
14 Correct 104 ms 50416 KB Output is correct
15 Correct 102 ms 50252 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2064 KB Output is correct
19 Correct 35 ms 17244 KB Output is correct
20 Correct 70 ms 33948 KB Output is correct
21 Correct 109 ms 50516 KB Output is correct
22 Correct 103 ms 50516 KB Output is correct
23 Correct 108 ms 50576 KB Output is correct
24 Correct 105 ms 50516 KB Output is correct
25 Correct 110 ms 50552 KB Output is correct
26 Correct 109 ms 50580 KB Output is correct
27 Correct 104 ms 50560 KB Output is correct
28 Correct 104 ms 50512 KB Output is correct
29 Correct 105 ms 50512 KB Output is correct
30 Correct 107 ms 50516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 4 ms 2016 KB Output is correct
4 Correct 34 ms 17136 KB Output is correct
5 Correct 68 ms 33696 KB Output is correct
6 Correct 105 ms 50268 KB Output is correct
7 Correct 102 ms 50388 KB Output is correct
8 Correct 110 ms 50256 KB Output is correct
9 Correct 112 ms 50416 KB Output is correct
10 Correct 110 ms 50256 KB Output is correct
11 Correct 104 ms 50264 KB Output is correct
12 Correct 104 ms 50256 KB Output is correct
13 Correct 111 ms 50312 KB Output is correct
14 Correct 104 ms 50416 KB Output is correct
15 Correct 102 ms 50252 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 4 ms 2064 KB Output is correct
19 Correct 35 ms 17244 KB Output is correct
20 Correct 70 ms 33948 KB Output is correct
21 Correct 109 ms 50516 KB Output is correct
22 Correct 103 ms 50516 KB Output is correct
23 Correct 108 ms 50576 KB Output is correct
24 Correct 105 ms 50516 KB Output is correct
25 Correct 110 ms 50552 KB Output is correct
26 Correct 109 ms 50580 KB Output is correct
27 Correct 104 ms 50560 KB Output is correct
28 Correct 104 ms 50512 KB Output is correct
29 Correct 105 ms 50512 KB Output is correct
30 Correct 107 ms 50516 KB Output is correct
31 Correct 2 ms 600 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 4 ms 2228 KB Output is correct
35 Correct 5 ms 2140 KB Output is correct
36 Correct 6 ms 2140 KB Output is correct
37 Correct 20 ms 8984 KB Output is correct
38 Correct 27 ms 8988 KB Output is correct
39 Correct 44 ms 17276 KB Output is correct
40 Correct 90 ms 34132 KB Output is correct
41 Correct 134 ms 50772 KB Output is correct
42 Correct 130 ms 50936 KB Output is correct
43 Correct 131 ms 50932 KB Output is correct
44 Correct 134 ms 50932 KB Output is correct
45 Correct 132 ms 50768 KB Output is correct
46 Correct 142 ms 50948 KB Output is correct
47 Correct 133 ms 50768 KB Output is correct
48 Correct 134 ms 50776 KB Output is correct
49 Correct 136 ms 51024 KB Output is correct
50 Correct 152 ms 51024 KB Output is correct
51 Correct 132 ms 51024 KB Output is correct
52 Correct 136 ms 51024 KB Output is correct
53 Correct 136 ms 51004 KB Output is correct
54 Correct 132 ms 50928 KB Output is correct
55 Correct 137 ms 51012 KB Output is correct
56 Correct 133 ms 50772 KB Output is correct
57 Correct 161 ms 51012 KB Output is correct
58 Correct 135 ms 50768 KB Output is correct
59 Correct 136 ms 50900 KB Output is correct
60 Correct 133 ms 50768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 1 ms 348 KB Output is correct
6 Correct 0 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 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 4 ms 2016 KB Output is correct
14 Correct 34 ms 17136 KB Output is correct
15 Correct 68 ms 33696 KB Output is correct
16 Correct 105 ms 50268 KB Output is correct
17 Correct 102 ms 50388 KB Output is correct
18 Correct 110 ms 50256 KB Output is correct
19 Correct 112 ms 50416 KB Output is correct
20 Correct 110 ms 50256 KB Output is correct
21 Correct 104 ms 50264 KB Output is correct
22 Correct 104 ms 50256 KB Output is correct
23 Correct 111 ms 50312 KB Output is correct
24 Correct 104 ms 50416 KB Output is correct
25 Correct 102 ms 50252 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2064 KB Output is correct
29 Correct 35 ms 17244 KB Output is correct
30 Correct 70 ms 33948 KB Output is correct
31 Correct 109 ms 50516 KB Output is correct
32 Correct 103 ms 50516 KB Output is correct
33 Correct 108 ms 50576 KB Output is correct
34 Correct 105 ms 50516 KB Output is correct
35 Correct 110 ms 50552 KB Output is correct
36 Correct 109 ms 50580 KB Output is correct
37 Correct 104 ms 50560 KB Output is correct
38 Correct 104 ms 50512 KB Output is correct
39 Correct 105 ms 50512 KB Output is correct
40 Correct 107 ms 50516 KB Output is correct
41 Correct 2 ms 600 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2228 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 6 ms 2140 KB Output is correct
47 Correct 20 ms 8984 KB Output is correct
48 Correct 27 ms 8988 KB Output is correct
49 Correct 44 ms 17276 KB Output is correct
50 Correct 90 ms 34132 KB Output is correct
51 Correct 134 ms 50772 KB Output is correct
52 Correct 130 ms 50936 KB Output is correct
53 Correct 131 ms 50932 KB Output is correct
54 Correct 134 ms 50932 KB Output is correct
55 Correct 132 ms 50768 KB Output is correct
56 Correct 142 ms 50948 KB Output is correct
57 Correct 133 ms 50768 KB Output is correct
58 Correct 134 ms 50776 KB Output is correct
59 Correct 136 ms 51024 KB Output is correct
60 Correct 152 ms 51024 KB Output is correct
61 Correct 132 ms 51024 KB Output is correct
62 Correct 136 ms 51024 KB Output is correct
63 Correct 136 ms 51004 KB Output is correct
64 Correct 132 ms 50928 KB Output is correct
65 Correct 137 ms 51012 KB Output is correct
66 Correct 133 ms 50772 KB Output is correct
67 Correct 161 ms 51012 KB Output is correct
68 Correct 135 ms 50768 KB Output is correct
69 Correct 136 ms 50900 KB Output is correct
70 Correct 133 ms 50768 KB Output is correct
71 Correct 27 ms 9048 KB Output is correct
72 Correct 25 ms 9076 KB Output is correct
73 Correct 26 ms 8932 KB Output is correct
74 Correct 26 ms 9048 KB Output is correct
75 Correct 25 ms 9052 KB Output is correct
76 Correct 60 ms 17500 KB Output is correct
77 Correct 56 ms 17680 KB Output is correct
78 Correct 58 ms 17496 KB Output is correct
79 Correct 59 ms 17500 KB Output is correct
80 Correct 59 ms 17500 KB Output is correct
81 Correct 135 ms 34644 KB Output is correct
82 Correct 145 ms 34756 KB Output is correct
83 Correct 137 ms 34640 KB Output is correct
84 Correct 125 ms 34644 KB Output is correct
85 Correct 126 ms 34644 KB Output is correct
86 Correct 149 ms 35412 KB Output is correct
87 Correct 151 ms 35412 KB Output is correct
88 Correct 151 ms 35368 KB Output is correct
89 Correct 155 ms 35408 KB Output is correct
90 Correct 151 ms 35412 KB Output is correct
91 Correct 330 ms 56540 KB Output is correct
92 Correct 380 ms 56404 KB Output is correct
93 Correct 394 ms 56404 KB Output is correct
94 Correct 359 ms 56656 KB Output is correct
95 Correct 352 ms 56616 KB Output is correct
96 Correct 440 ms 61780 KB Output is correct
97 Correct 475 ms 61780 KB Output is correct
98 Correct 420 ms 61776 KB Output is correct
99 Correct 479 ms 61776 KB Output is correct
100 Correct 453 ms 61756 KB Output is correct
101 Correct 460 ms 61756 KB Output is correct
102 Correct 470 ms 61776 KB Output is correct
103 Correct 432 ms 61780 KB Output is correct
104 Correct 478 ms 62036 KB Output is correct
105 Correct 449 ms 61620 KB Output is correct
106 Correct 476 ms 64408 KB Output is correct
107 Correct 481 ms 64404 KB Output is correct
108 Correct 478 ms 64408 KB Output is correct
109 Correct 464 ms 64336 KB Output is correct
110 Correct 524 ms 64340 KB Output is correct
111 Correct 593 ms 64340 KB Output is correct
112 Correct 534 ms 64344 KB Output is correct
113 Correct 543 ms 64440 KB Output is correct
114 Correct 499 ms 64408 KB Output is correct
115 Correct 507 ms 64356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 1 ms 348 KB Output is correct
6 Correct 0 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 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 4 ms 2016 KB Output is correct
14 Correct 34 ms 17136 KB Output is correct
15 Correct 68 ms 33696 KB Output is correct
16 Correct 105 ms 50268 KB Output is correct
17 Correct 102 ms 50388 KB Output is correct
18 Correct 110 ms 50256 KB Output is correct
19 Correct 112 ms 50416 KB Output is correct
20 Correct 110 ms 50256 KB Output is correct
21 Correct 104 ms 50264 KB Output is correct
22 Correct 104 ms 50256 KB Output is correct
23 Correct 111 ms 50312 KB Output is correct
24 Correct 104 ms 50416 KB Output is correct
25 Correct 102 ms 50252 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 4 ms 2064 KB Output is correct
29 Correct 35 ms 17244 KB Output is correct
30 Correct 70 ms 33948 KB Output is correct
31 Correct 109 ms 50516 KB Output is correct
32 Correct 103 ms 50516 KB Output is correct
33 Correct 108 ms 50576 KB Output is correct
34 Correct 105 ms 50516 KB Output is correct
35 Correct 110 ms 50552 KB Output is correct
36 Correct 109 ms 50580 KB Output is correct
37 Correct 104 ms 50560 KB Output is correct
38 Correct 104 ms 50512 KB Output is correct
39 Correct 105 ms 50512 KB Output is correct
40 Correct 107 ms 50516 KB Output is correct
41 Correct 2 ms 600 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 4 ms 2228 KB Output is correct
45 Correct 5 ms 2140 KB Output is correct
46 Correct 6 ms 2140 KB Output is correct
47 Correct 20 ms 8984 KB Output is correct
48 Correct 27 ms 8988 KB Output is correct
49 Correct 44 ms 17276 KB Output is correct
50 Correct 90 ms 34132 KB Output is correct
51 Correct 134 ms 50772 KB Output is correct
52 Correct 130 ms 50936 KB Output is correct
53 Correct 131 ms 50932 KB Output is correct
54 Correct 134 ms 50932 KB Output is correct
55 Correct 132 ms 50768 KB Output is correct
56 Correct 142 ms 50948 KB Output is correct
57 Correct 133 ms 50768 KB Output is correct
58 Correct 134 ms 50776 KB Output is correct
59 Correct 136 ms 51024 KB Output is correct
60 Correct 152 ms 51024 KB Output is correct
61 Correct 132 ms 51024 KB Output is correct
62 Correct 136 ms 51024 KB Output is correct
63 Correct 136 ms 51004 KB Output is correct
64 Correct 132 ms 50928 KB Output is correct
65 Correct 137 ms 51012 KB Output is correct
66 Correct 133 ms 50772 KB Output is correct
67 Correct 161 ms 51012 KB Output is correct
68 Correct 135 ms 50768 KB Output is correct
69 Correct 136 ms 50900 KB Output is correct
70 Correct 133 ms 50768 KB Output is correct
71 Correct 27 ms 9048 KB Output is correct
72 Correct 25 ms 9076 KB Output is correct
73 Correct 26 ms 8932 KB Output is correct
74 Correct 26 ms 9048 KB Output is correct
75 Correct 25 ms 9052 KB Output is correct
76 Correct 60 ms 17500 KB Output is correct
77 Correct 56 ms 17680 KB Output is correct
78 Correct 58 ms 17496 KB Output is correct
79 Correct 59 ms 17500 KB Output is correct
80 Correct 59 ms 17500 KB Output is correct
81 Correct 135 ms 34644 KB Output is correct
82 Correct 145 ms 34756 KB Output is correct
83 Correct 137 ms 34640 KB Output is correct
84 Correct 125 ms 34644 KB Output is correct
85 Correct 126 ms 34644 KB Output is correct
86 Correct 149 ms 35412 KB Output is correct
87 Correct 151 ms 35412 KB Output is correct
88 Correct 151 ms 35368 KB Output is correct
89 Correct 155 ms 35408 KB Output is correct
90 Correct 151 ms 35412 KB Output is correct
91 Correct 330 ms 56540 KB Output is correct
92 Correct 380 ms 56404 KB Output is correct
93 Correct 394 ms 56404 KB Output is correct
94 Correct 359 ms 56656 KB Output is correct
95 Correct 352 ms 56616 KB Output is correct
96 Correct 440 ms 61780 KB Output is correct
97 Correct 475 ms 61780 KB Output is correct
98 Correct 420 ms 61776 KB Output is correct
99 Correct 479 ms 61776 KB Output is correct
100 Correct 453 ms 61756 KB Output is correct
101 Correct 460 ms 61756 KB Output is correct
102 Correct 470 ms 61776 KB Output is correct
103 Correct 432 ms 61780 KB Output is correct
104 Correct 478 ms 62036 KB Output is correct
105 Correct 449 ms 61620 KB Output is correct
106 Correct 476 ms 64408 KB Output is correct
107 Correct 481 ms 64404 KB Output is correct
108 Correct 478 ms 64408 KB Output is correct
109 Correct 464 ms 64336 KB Output is correct
110 Correct 524 ms 64340 KB Output is correct
111 Correct 593 ms 64340 KB Output is correct
112 Correct 534 ms 64344 KB Output is correct
113 Correct 543 ms 64440 KB Output is correct
114 Correct 499 ms 64408 KB Output is correct
115 Correct 507 ms 64356 KB Output is correct
116 Correct 1128 ms 3928 KB Output is correct
117 Correct 1288 ms 3924 KB Output is correct
118 Correct 1735 ms 10836 KB Output is correct
119 Correct 2633 ms 10836 KB Output is correct
120 Correct 3150 ms 11108 KB Output is correct
121 Correct 6440 ms 19472 KB Output is correct
122 Execution timed out 7070 ms 18852 KB Time limit exceeded
123 Halted 0 ms 0 KB -