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Submission #1097571

# Submission time Handle Problem Language Result Execution time Memory
1097571 2024-10-07T15:08:45 Z alexander707070 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 64596 KB 
#include<iostream>
#include<algorithm>

#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];

        if(bucket[fr.l]%2==0)return fr.r<sc.r;
        else 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){
    if(val==0)return;

    long long mul=calc(x);

    ans-=s[x]*mul;
    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]*mul;
    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]++;

    int z=pos[x];
    if(br[x]>br[w[nxt[pos[x]][0]]]){
        for(int s=17;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]-1));
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }else change(pos[x],1);
}

void rem(int x){
    br[x]--;

    int z=pos[x];
    if(br[x]<br[w[pr[pos[x]][0]]]){
        for(int s=17;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]+1));
        change(pos[y],br[x]-br[y]);

        swap(w[pos[x]],w[pos[y]]);
        swap(pos[x],pos[y]);
    }else{
        change(pos[x],-1);
    }
}

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;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 464 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# 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 3 ms 2136 KB Output is correct
4 Correct 20 ms 16988 KB Output is correct
5 Correct 40 ms 33720 KB Output is correct
6 Correct 63 ms 50480 KB Output is correct
7 Correct 67 ms 50292 KB Output is correct
8 Correct 73 ms 50408 KB Output is correct
9 Correct 77 ms 50256 KB Output is correct
10 Correct 61 ms 50444 KB Output is correct
11 Correct 66 ms 50280 KB Output is correct
12 Correct 63 ms 50260 KB Output is correct
13 Correct 63 ms 50260 KB Output is correct
14 Correct 83 ms 50260 KB Output is correct
15 Correct 60 ms 50220 KB Output is correct

Subtask #3
8.0 / 8.0

# 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 3 ms 2136 KB Output is correct
4 Correct 20 ms 16988 KB Output is correct
5 Correct 40 ms 33720 KB Output is correct
6 Correct 63 ms 50480 KB Output is correct
7 Correct 67 ms 50292 KB Output is correct
8 Correct 73 ms 50408 KB Output is correct
9 Correct 77 ms 50256 KB Output is correct
10 Correct 61 ms 50444 KB Output is correct
11 Correct 66 ms 50280 KB Output is correct
12 Correct 63 ms 50260 KB Output is correct
13 Correct 63 ms 50260 KB Output is correct
14 Correct 83 ms 50260 KB Output is correct
15 Correct 60 ms 50220 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2016 KB Output is correct
19 Correct 23 ms 17244 KB Output is correct
20 Correct 51 ms 33936 KB Output is correct
21 Correct 67 ms 50516 KB Output is correct
22 Correct 67 ms 50604 KB Output is correct
23 Correct 75 ms 50576 KB Output is correct
24 Correct 67 ms 50436 KB Output is correct
25 Correct 68 ms 50516 KB Output is correct
26 Correct 65 ms 50516 KB Output is correct
27 Correct 69 ms 50548 KB Output is correct
28 Correct 67 ms 50316 KB Output is correct
29 Correct 67 ms 50524 KB Output is correct
30 Correct 68 ms 50512 KB Output is correct

Subtask #4
16.0 / 16.0

# 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 3 ms 2136 KB Output is correct
4 Correct 20 ms 16988 KB Output is correct
5 Correct 40 ms 33720 KB Output is correct
6 Correct 63 ms 50480 KB Output is correct
7 Correct 67 ms 50292 KB Output is correct
8 Correct 73 ms 50408 KB Output is correct
9 Correct 77 ms 50256 KB Output is correct
10 Correct 61 ms 50444 KB Output is correct
11 Correct 66 ms 50280 KB Output is correct
12 Correct 63 ms 50260 KB Output is correct
13 Correct 63 ms 50260 KB Output is correct
14 Correct 83 ms 50260 KB Output is correct
15 Correct 60 ms 50220 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 3 ms 2016 KB Output is correct
19 Correct 23 ms 17244 KB Output is correct
20 Correct 51 ms 33936 KB Output is correct
21 Correct 67 ms 50516 KB Output is correct
22 Correct 67 ms 50604 KB Output is correct
23 Correct 75 ms 50576 KB Output is correct
24 Correct 67 ms 50436 KB Output is correct
25 Correct 68 ms 50516 KB Output is correct
26 Correct 65 ms 50516 KB Output is correct
27 Correct 69 ms 50548 KB Output is correct
28 Correct 67 ms 50316 KB Output is correct
29 Correct 67 ms 50524 KB Output is correct
30 Correct 68 ms 50512 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 680 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 3 ms 2028 KB Output is correct
35 Correct 3 ms 2140 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 16 ms 8988 KB Output is correct
38 Correct 20 ms 9052 KB Output is correct
39 Correct 40 ms 17244 KB Output is correct
40 Correct 64 ms 34140 KB Output is correct
41 Correct 95 ms 50868 KB Output is correct
42 Correct 99 ms 50772 KB Output is correct
43 Correct 99 ms 50772 KB Output is correct
44 Correct 91 ms 50868 KB Output is correct
45 Correct 101 ms 50772 KB Output is correct
46 Correct 89 ms 51020 KB Output is correct
47 Correct 90 ms 50928 KB Output is correct
48 Correct 90 ms 50928 KB Output is correct
49 Correct 87 ms 50780 KB Output is correct
50 Correct 87 ms 51028 KB Output is correct
51 Correct 87 ms 50936 KB Output is correct
52 Correct 88 ms 51016 KB Output is correct
53 Correct 89 ms 50808 KB Output is correct
54 Correct 89 ms 50940 KB Output is correct
55 Correct 87 ms 51016 KB Output is correct
56 Correct 88 ms 51024 KB Output is correct
57 Correct 92 ms 50772 KB Output is correct
58 Correct 88 ms 50772 KB Output is correct
59 Correct 93 ms 50984 KB Output is correct
60 Correct 100 ms 50768 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 464 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 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 3 ms 2136 KB Output is correct
14 Correct 20 ms 16988 KB Output is correct
15 Correct 40 ms 33720 KB Output is correct
16 Correct 63 ms 50480 KB Output is correct
17 Correct 67 ms 50292 KB Output is correct
18 Correct 73 ms 50408 KB Output is correct
19 Correct 77 ms 50256 KB Output is correct
20 Correct 61 ms 50444 KB Output is correct
21 Correct 66 ms 50280 KB Output is correct
22 Correct 63 ms 50260 KB Output is correct
23 Correct 63 ms 50260 KB Output is correct
24 Correct 83 ms 50260 KB Output is correct
25 Correct 60 ms 50220 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2016 KB Output is correct
29 Correct 23 ms 17244 KB Output is correct
30 Correct 51 ms 33936 KB Output is correct
31 Correct 67 ms 50516 KB Output is correct
32 Correct 67 ms 50604 KB Output is correct
33 Correct 75 ms 50576 KB Output is correct
34 Correct 67 ms 50436 KB Output is correct
35 Correct 68 ms 50516 KB Output is correct
36 Correct 65 ms 50516 KB Output is correct
37 Correct 69 ms 50548 KB Output is correct
38 Correct 67 ms 50316 KB Output is correct
39 Correct 67 ms 50524 KB Output is correct
40 Correct 68 ms 50512 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 680 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 3 ms 2028 KB Output is correct
45 Correct 3 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 16 ms 8988 KB Output is correct
48 Correct 20 ms 9052 KB Output is correct
49 Correct 40 ms 17244 KB Output is correct
50 Correct 64 ms 34140 KB Output is correct
51 Correct 95 ms 50868 KB Output is correct
52 Correct 99 ms 50772 KB Output is correct
53 Correct 99 ms 50772 KB Output is correct
54 Correct 91 ms 50868 KB Output is correct
55 Correct 101 ms 50772 KB Output is correct
56 Correct 89 ms 51020 KB Output is correct
57 Correct 90 ms 50928 KB Output is correct
58 Correct 90 ms 50928 KB Output is correct
59 Correct 87 ms 50780 KB Output is correct
60 Correct 87 ms 51028 KB Output is correct
61 Correct 87 ms 50936 KB Output is correct
62 Correct 88 ms 51016 KB Output is correct
63 Correct 89 ms 50808 KB Output is correct
64 Correct 89 ms 50940 KB Output is correct
65 Correct 87 ms 51016 KB Output is correct
66 Correct 88 ms 51024 KB Output is correct
67 Correct 92 ms 50772 KB Output is correct
68 Correct 88 ms 50772 KB Output is correct
69 Correct 93 ms 50984 KB Output is correct
70 Correct 100 ms 50768 KB Output is correct
71 Correct 20 ms 9048 KB Output is correct
72 Correct 23 ms 9080 KB Output is correct
73 Correct 20 ms 9048 KB Output is correct
74 Correct 19 ms 9052 KB Output is correct
75 Correct 21 ms 9080 KB Output is correct
76 Correct 45 ms 17532 KB Output is correct
77 Correct 57 ms 17496 KB Output is correct
78 Correct 45 ms 17500 KB Output is correct
79 Correct 47 ms 17668 KB Output is correct
80 Correct 45 ms 17676 KB Output is correct
81 Correct 116 ms 34860 KB Output is correct
82 Correct 104 ms 34808 KB Output is correct
83 Correct 102 ms 34704 KB Output is correct
84 Correct 109 ms 34864 KB Output is correct
85 Correct 95 ms 34644 KB Output is correct
86 Correct 117 ms 35364 KB Output is correct
87 Correct 113 ms 35360 KB Output is correct
88 Correct 116 ms 35408 KB Output is correct
89 Correct 114 ms 35412 KB Output is correct
90 Correct 117 ms 35412 KB Output is correct
91 Correct 246 ms 56400 KB Output is correct
92 Correct 244 ms 56400 KB Output is correct
93 Correct 231 ms 56412 KB Output is correct
94 Correct 234 ms 56592 KB Output is correct
95 Correct 253 ms 56400 KB Output is correct
96 Correct 302 ms 61708 KB Output is correct
97 Correct 322 ms 61780 KB Output is correct
98 Correct 298 ms 61776 KB Output is correct
99 Correct 303 ms 61756 KB Output is correct
100 Correct 283 ms 61788 KB Output is correct
101 Correct 308 ms 61780 KB Output is correct
102 Correct 321 ms 61648 KB Output is correct
103 Correct 280 ms 61776 KB Output is correct
104 Correct 304 ms 61796 KB Output is correct
105 Correct 306 ms 61684 KB Output is correct
106 Correct 319 ms 64336 KB Output is correct
107 Correct 305 ms 64408 KB Output is correct
108 Correct 316 ms 64452 KB Output is correct
109 Correct 299 ms 64596 KB Output is correct
110 Correct 297 ms 64340 KB Output is correct
111 Correct 307 ms 64336 KB Output is correct
112 Correct 317 ms 64412 KB Output is correct
113 Correct 317 ms 64412 KB Output is correct
114 Correct 297 ms 64416 KB Output is correct
115 Correct 319 ms 64340 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 464 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 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 3 ms 2136 KB Output is correct
14 Correct 20 ms 16988 KB Output is correct
15 Correct 40 ms 33720 KB Output is correct
16 Correct 63 ms 50480 KB Output is correct
17 Correct 67 ms 50292 KB Output is correct
18 Correct 73 ms 50408 KB Output is correct
19 Correct 77 ms 50256 KB Output is correct
20 Correct 61 ms 50444 KB Output is correct
21 Correct 66 ms 50280 KB Output is correct
22 Correct 63 ms 50260 KB Output is correct
23 Correct 63 ms 50260 KB Output is correct
24 Correct 83 ms 50260 KB Output is correct
25 Correct 60 ms 50220 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 3 ms 2016 KB Output is correct
29 Correct 23 ms 17244 KB Output is correct
30 Correct 51 ms 33936 KB Output is correct
31 Correct 67 ms 50516 KB Output is correct
32 Correct 67 ms 50604 KB Output is correct
33 Correct 75 ms 50576 KB Output is correct
34 Correct 67 ms 50436 KB Output is correct
35 Correct 68 ms 50516 KB Output is correct
36 Correct 65 ms 50516 KB Output is correct
37 Correct 69 ms 50548 KB Output is correct
38 Correct 67 ms 50316 KB Output is correct
39 Correct 67 ms 50524 KB Output is correct
40 Correct 68 ms 50512 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 680 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 3 ms 2028 KB Output is correct
45 Correct 3 ms 2140 KB Output is correct
46 Correct 5 ms 2140 KB Output is correct
47 Correct 16 ms 8988 KB Output is correct
48 Correct 20 ms 9052 KB Output is correct
49 Correct 40 ms 17244 KB Output is correct
50 Correct 64 ms 34140 KB Output is correct
51 Correct 95 ms 50868 KB Output is correct
52 Correct 99 ms 50772 KB Output is correct
53 Correct 99 ms 50772 KB Output is correct
54 Correct 91 ms 50868 KB Output is correct
55 Correct 101 ms 50772 KB Output is correct
56 Correct 89 ms 51020 KB Output is correct
57 Correct 90 ms 50928 KB Output is correct
58 Correct 90 ms 50928 KB Output is correct
59 Correct 87 ms 50780 KB Output is correct
60 Correct 87 ms 51028 KB Output is correct
61 Correct 87 ms 50936 KB Output is correct
62 Correct 88 ms 51016 KB Output is correct
63 Correct 89 ms 50808 KB Output is correct
64 Correct 89 ms 50940 KB Output is correct
65 Correct 87 ms 51016 KB Output is correct
66 Correct 88 ms 51024 KB Output is correct
67 Correct 92 ms 50772 KB Output is correct
68 Correct 88 ms 50772 KB Output is correct
69 Correct 93 ms 50984 KB Output is correct
70 Correct 100 ms 50768 KB Output is correct
71 Correct 20 ms 9048 KB Output is correct
72 Correct 23 ms 9080 KB Output is correct
73 Correct 20 ms 9048 KB Output is correct
74 Correct 19 ms 9052 KB Output is correct
75 Correct 21 ms 9080 KB Output is correct
76 Correct 45 ms 17532 KB Output is correct
77 Correct 57 ms 17496 KB Output is correct
78 Correct 45 ms 17500 KB Output is correct
79 Correct 47 ms 17668 KB Output is correct
80 Correct 45 ms 17676 KB Output is correct
81 Correct 116 ms 34860 KB Output is correct
82 Correct 104 ms 34808 KB Output is correct
83 Correct 102 ms 34704 KB Output is correct
84 Correct 109 ms 34864 KB Output is correct
85 Correct 95 ms 34644 KB Output is correct
86 Correct 117 ms 35364 KB Output is correct
87 Correct 113 ms 35360 KB Output is correct
88 Correct 116 ms 35408 KB Output is correct
89 Correct 114 ms 35412 KB Output is correct
90 Correct 117 ms 35412 KB Output is correct
91 Correct 246 ms 56400 KB Output is correct
92 Correct 244 ms 56400 KB Output is correct
93 Correct 231 ms 56412 KB Output is correct
94 Correct 234 ms 56592 KB Output is correct
95 Correct 253 ms 56400 KB Output is correct
96 Correct 302 ms 61708 KB Output is correct
97 Correct 322 ms 61780 KB Output is correct
98 Correct 298 ms 61776 KB Output is correct
99 Correct 303 ms 61756 KB Output is correct
100 Correct 283 ms 61788 KB Output is correct
101 Correct 308 ms 61780 KB Output is correct
102 Correct 321 ms 61648 KB Output is correct
103 Correct 280 ms 61776 KB Output is correct
104 Correct 304 ms 61796 KB Output is correct
105 Correct 306 ms 61684 KB Output is correct
106 Correct 319 ms 64336 KB Output is correct
107 Correct 305 ms 64408 KB Output is correct
108 Correct 316 ms 64452 KB Output is correct
109 Correct 299 ms 64596 KB Output is correct
110 Correct 297 ms 64340 KB Output is correct
111 Correct 307 ms 64336 KB Output is correct
112 Correct 317 ms 64412 KB Output is correct
113 Correct 317 ms 64412 KB Output is correct
114 Correct 297 ms 64416 KB Output is correct
115 Correct 319 ms 64340 KB Output is correct
116 Correct 335 ms 3920 KB Output is correct
117 Correct 525 ms 3924 KB Output is correct
118 Correct 503 ms 10832 KB Output is correct
119 Correct 1079 ms 11020 KB Output is correct
120 Correct 1342 ms 11048 KB Output is correct
121 Correct 2371 ms 19468 KB Output is correct
122 Correct 2996 ms 19572 KB Output is correct
123 Correct 5964 ms 36436 KB Output is correct
124 Execution timed out 7065 ms 36040 KB Time limit exceeded
125 Halted 0 ms 0 KB -