Submission #1049391

# Submission time Handle Problem Language Result Execution time Memory
1049391 2024-08-08T17:52:33 Z PoonYaPat Diversity (CEOI21_diversity) C++14
64 / 100
7000 ms 244924 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;

//sl : increase from l
//sr : increase from r

const int mx=300000,MID=150000,sq=400;

struct NN {
    ll sum,sl,sr,cnt;
} s[1<<22];

int ccnt[mx+5],posi[mx+5],num[mx+5];

NN merge(NN a, NN b) {
    NN res;
    res.sum=a.sum+b.sum;
    res.cnt=a.cnt+b.cnt;
    res.sl=a.sl+a.cnt*b.sum+b.sl;
    res.sr=b.sr+b.cnt*a.sum+a.sr;
    return res;
}

void update(int l, int r, int idx, int x) {
    if (x>r || x<l) return;
    if (l==r) s[idx]={ccnt[l],ccnt[l],ccnt[l],1};
    else {
        int mid=(l+r)/2;
        update(l,mid,2*idx,x);
        update(mid+1,r,2*idx+1,x);
        s[idx]=merge(s[2*idx],s[2*idx+1]);
    }
}

NN query(int l, int r, int idx, int x, int y) {
    if (x>r || y<l) return {0,0,0,0};
    if (x<=l && r<=y) return s[idx];
    int mid=(l+r)/2;
    return merge(query(l,mid,2*idx,x,y),query(mid+1,r,2*idx+1,x,y));
}

int level[mx+5],have[mx+5],idx_seq=-1; //range of box that has been used
vector<int> seq;
deque<int> dq[mx+5];

ll ans=0;

void sw(int a, int b) {
    swap(num[a],num[b]);
    posi[num[a]]=a;
    posi[num[b]]=b;
}

void add(int val) {

    if (!have[val]) {
        
        ++idx_seq;
        int pos=seq[idx_seq]; //the position of the seg-tree to be added
        ccnt[pos]=1;
        posi[val]=pos;
        num[pos]=val;
        update(1,mx,1,pos);
        dq[1].push_back(pos);
        ans+=query(1,mx,1,1,pos).sr+query(1,mx,1,pos,mx).sl-ccnt[pos];

    } else {

        int pos=posi[val], cnt=ccnt[pos]; //increase from cnt to cnt+1
        int max_pos=dq[cnt].front();
        sw(pos,max_pos);

        //increase from cnt to cnt+1
        dq[cnt].pop_front();
        dq[cnt+1].push_back(max_pos);
        ++ccnt[max_pos];
        update(1,mx,1,max_pos);
        ans+=query(1,mx,1,1,max_pos).sr+query(1,mx,1,max_pos,mx).sl-ccnt[max_pos];
    }

    ++have[val];
}

void del(int val) {

    int pos=posi[val], cnt=ccnt[pos];
    int min_pos=dq[cnt].back();
    sw(pos,min_pos);

    ans-=(query(1,mx,1,1,min_pos).sr+query(1,mx,1,min_pos,mx).sl-ccnt[min_pos]);
    dq[cnt].pop_back();

    if (cnt==1) --idx_seq;
    else dq[cnt-1].push_front(min_pos);

    --ccnt[min_pos];
    update(1,mx,1,min_pos);

    --have[val];
}

int n,q,a[mx+5];

struct Query {
    int l,r,idx;
    bool operator<(Query other) const {
        return pii(l/sq,r)<pii(other.l/sq,other.r);
    }
};

vector<Query> ques;
ll Ans[50005];

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    int ll=MID,rr=MID;
    level[MID]=0;
    seq.push_back(MID);
    for (int i=1; i<mx; ++i) {
        if (i%2==0) level[--ll]=i, seq.push_back(ll);
        else level[++rr]=i, seq.push_back(rr);
    }

    cin>>n>>q;
    for (int i=0; i<n; ++i) cin>>a[i];

    for (int i=0; i<q; ++i) {
        int l,r; cin>>l>>r;
        ques.push_back({--l,--r,i});
    }

    sort(ques.begin(),ques.end());

    int cur_l=0;
    int cur_r=-1;

    for (auto q : ques) {
        while (cur_l>q.l) add(a[--cur_l]);
        while (cur_r<q.r) add(a[++cur_r]);
        while (cur_l<q.l) del(a[cur_l++]);
        while (cur_r>q.r) del(a[cur_r--]);
        Ans[q.idx]=ans;
    }

    for (int i=0; i<q; ++i) cout<<Ans[i]<<"\n";
}
# Verdict Execution time Memory Grader output
1 Correct 76 ms 219192 KB Output is correct
2 Correct 68 ms 221024 KB Output is correct
3 Correct 79 ms 221264 KB Output is correct
4 Correct 76 ms 221120 KB Output is correct
5 Correct 85 ms 221148 KB Output is correct
6 Correct 77 ms 221184 KB Output is correct
7 Correct 75 ms 221124 KB Output is correct
8 Correct 66 ms 221124 KB Output is correct
9 Correct 73 ms 221120 KB Output is correct
10 Correct 72 ms 221120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 75 ms 221124 KB Output is correct
2 Correct 78 ms 221124 KB Output is correct
3 Correct 73 ms 221124 KB Output is correct
4 Correct 113 ms 221124 KB Output is correct
5 Correct 165 ms 221124 KB Output is correct
6 Correct 195 ms 221120 KB Output is correct
7 Correct 180 ms 221116 KB Output is correct
8 Correct 195 ms 221120 KB Output is correct
9 Correct 196 ms 221124 KB Output is correct
10 Correct 184 ms 221032 KB Output is correct
11 Correct 189 ms 221124 KB Output is correct
12 Correct 186 ms 221124 KB Output is correct
13 Correct 189 ms 221252 KB Output is correct
14 Correct 189 ms 221124 KB Output is correct
15 Correct 195 ms 221252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 75 ms 221124 KB Output is correct
2 Correct 78 ms 221124 KB Output is correct
3 Correct 73 ms 221124 KB Output is correct
4 Correct 113 ms 221124 KB Output is correct
5 Correct 165 ms 221124 KB Output is correct
6 Correct 195 ms 221120 KB Output is correct
7 Correct 180 ms 221116 KB Output is correct
8 Correct 195 ms 221120 KB Output is correct
9 Correct 196 ms 221124 KB Output is correct
10 Correct 184 ms 221032 KB Output is correct
11 Correct 189 ms 221124 KB Output is correct
12 Correct 186 ms 221124 KB Output is correct
13 Correct 189 ms 221252 KB Output is correct
14 Correct 189 ms 221124 KB Output is correct
15 Correct 195 ms 221252 KB Output is correct
16 Correct 74 ms 221132 KB Output is correct
17 Correct 80 ms 221040 KB Output is correct
18 Correct 79 ms 221152 KB Output is correct
19 Correct 116 ms 221124 KB Output is correct
20 Correct 159 ms 221120 KB Output is correct
21 Correct 190 ms 221124 KB Output is correct
22 Correct 193 ms 221120 KB Output is correct
23 Correct 200 ms 221124 KB Output is correct
24 Correct 192 ms 221164 KB Output is correct
25 Correct 191 ms 221252 KB Output is correct
26 Correct 204 ms 221076 KB Output is correct
27 Correct 193 ms 221120 KB Output is correct
28 Correct 194 ms 221116 KB Output is correct
29 Correct 196 ms 221124 KB Output is correct
30 Correct 194 ms 221068 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 75 ms 221124 KB Output is correct
2 Correct 78 ms 221124 KB Output is correct
3 Correct 73 ms 221124 KB Output is correct
4 Correct 113 ms 221124 KB Output is correct
5 Correct 165 ms 221124 KB Output is correct
6 Correct 195 ms 221120 KB Output is correct
7 Correct 180 ms 221116 KB Output is correct
8 Correct 195 ms 221120 KB Output is correct
9 Correct 196 ms 221124 KB Output is correct
10 Correct 184 ms 221032 KB Output is correct
11 Correct 189 ms 221124 KB Output is correct
12 Correct 186 ms 221124 KB Output is correct
13 Correct 189 ms 221252 KB Output is correct
14 Correct 189 ms 221124 KB Output is correct
15 Correct 195 ms 221252 KB Output is correct
16 Correct 74 ms 221132 KB Output is correct
17 Correct 80 ms 221040 KB Output is correct
18 Correct 79 ms 221152 KB Output is correct
19 Correct 116 ms 221124 KB Output is correct
20 Correct 159 ms 221120 KB Output is correct
21 Correct 190 ms 221124 KB Output is correct
22 Correct 193 ms 221120 KB Output is correct
23 Correct 200 ms 221124 KB Output is correct
24 Correct 192 ms 221164 KB Output is correct
25 Correct 191 ms 221252 KB Output is correct
26 Correct 204 ms 221076 KB Output is correct
27 Correct 193 ms 221120 KB Output is correct
28 Correct 194 ms 221116 KB Output is correct
29 Correct 196 ms 221124 KB Output is correct
30 Correct 194 ms 221068 KB Output is correct
31 Correct 74 ms 221124 KB Output is correct
32 Correct 76 ms 221052 KB Output is correct
33 Correct 81 ms 221180 KB Output is correct
34 Correct 70 ms 221120 KB Output is correct
35 Correct 74 ms 221124 KB Output is correct
36 Correct 81 ms 221120 KB Output is correct
37 Correct 105 ms 221124 KB Output is correct
38 Correct 107 ms 221120 KB Output is correct
39 Correct 133 ms 221248 KB Output is correct
40 Correct 173 ms 221088 KB Output is correct
41 Correct 219 ms 221128 KB Output is correct
42 Correct 218 ms 221256 KB Output is correct
43 Correct 217 ms 221124 KB Output is correct
44 Correct 221 ms 221152 KB Output is correct
45 Correct 235 ms 221124 KB Output is correct
46 Correct 214 ms 221120 KB Output is correct
47 Correct 220 ms 221376 KB Output is correct
48 Correct 225 ms 221252 KB Output is correct
49 Correct 218 ms 221120 KB Output is correct
50 Correct 212 ms 221268 KB Output is correct
51 Correct 222 ms 221100 KB Output is correct
52 Correct 221 ms 221248 KB Output is correct
53 Correct 220 ms 221128 KB Output is correct
54 Correct 217 ms 221120 KB Output is correct
55 Correct 213 ms 221124 KB Output is correct
56 Correct 211 ms 221176 KB Output is correct
57 Correct 224 ms 221212 KB Output is correct
58 Correct 218 ms 221120 KB Output is correct
59 Correct 219 ms 221088 KB Output is correct
60 Correct 219 ms 221172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 76 ms 219192 KB Output is correct
2 Correct 68 ms 221024 KB Output is correct
3 Correct 79 ms 221264 KB Output is correct
4 Correct 76 ms 221120 KB Output is correct
5 Correct 85 ms 221148 KB Output is correct
6 Correct 77 ms 221184 KB Output is correct
7 Correct 75 ms 221124 KB Output is correct
8 Correct 66 ms 221124 KB Output is correct
9 Correct 73 ms 221120 KB Output is correct
10 Correct 72 ms 221120 KB Output is correct
11 Correct 75 ms 221124 KB Output is correct
12 Correct 78 ms 221124 KB Output is correct
13 Correct 73 ms 221124 KB Output is correct
14 Correct 113 ms 221124 KB Output is correct
15 Correct 165 ms 221124 KB Output is correct
16 Correct 195 ms 221120 KB Output is correct
17 Correct 180 ms 221116 KB Output is correct
18 Correct 195 ms 221120 KB Output is correct
19 Correct 196 ms 221124 KB Output is correct
20 Correct 184 ms 221032 KB Output is correct
21 Correct 189 ms 221124 KB Output is correct
22 Correct 186 ms 221124 KB Output is correct
23 Correct 189 ms 221252 KB Output is correct
24 Correct 189 ms 221124 KB Output is correct
25 Correct 195 ms 221252 KB Output is correct
26 Correct 74 ms 221132 KB Output is correct
27 Correct 80 ms 221040 KB Output is correct
28 Correct 79 ms 221152 KB Output is correct
29 Correct 116 ms 221124 KB Output is correct
30 Correct 159 ms 221120 KB Output is correct
31 Correct 190 ms 221124 KB Output is correct
32 Correct 193 ms 221120 KB Output is correct
33 Correct 200 ms 221124 KB Output is correct
34 Correct 192 ms 221164 KB Output is correct
35 Correct 191 ms 221252 KB Output is correct
36 Correct 204 ms 221076 KB Output is correct
37 Correct 193 ms 221120 KB Output is correct
38 Correct 194 ms 221116 KB Output is correct
39 Correct 196 ms 221124 KB Output is correct
40 Correct 194 ms 221068 KB Output is correct
41 Correct 74 ms 221124 KB Output is correct
42 Correct 76 ms 221052 KB Output is correct
43 Correct 81 ms 221180 KB Output is correct
44 Correct 70 ms 221120 KB Output is correct
45 Correct 74 ms 221124 KB Output is correct
46 Correct 81 ms 221120 KB Output is correct
47 Correct 105 ms 221124 KB Output is correct
48 Correct 107 ms 221120 KB Output is correct
49 Correct 133 ms 221248 KB Output is correct
50 Correct 173 ms 221088 KB Output is correct
51 Correct 219 ms 221128 KB Output is correct
52 Correct 218 ms 221256 KB Output is correct
53 Correct 217 ms 221124 KB Output is correct
54 Correct 221 ms 221152 KB Output is correct
55 Correct 235 ms 221124 KB Output is correct
56 Correct 214 ms 221120 KB Output is correct
57 Correct 220 ms 221376 KB Output is correct
58 Correct 225 ms 221252 KB Output is correct
59 Correct 218 ms 221120 KB Output is correct
60 Correct 212 ms 221268 KB Output is correct
61 Correct 222 ms 221100 KB Output is correct
62 Correct 221 ms 221248 KB Output is correct
63 Correct 220 ms 221128 KB Output is correct
64 Correct 217 ms 221120 KB Output is correct
65 Correct 213 ms 221124 KB Output is correct
66 Correct 211 ms 221176 KB Output is correct
67 Correct 224 ms 221212 KB Output is correct
68 Correct 218 ms 221120 KB Output is correct
69 Correct 219 ms 221088 KB Output is correct
70 Correct 219 ms 221172 KB Output is correct
71 Correct 110 ms 223168 KB Output is correct
72 Correct 107 ms 223304 KB Output is correct
73 Correct 98 ms 223172 KB Output is correct
74 Correct 110 ms 223124 KB Output is correct
75 Correct 106 ms 223172 KB Output is correct
76 Correct 141 ms 225216 KB Output is correct
77 Correct 128 ms 225156 KB Output is correct
78 Correct 130 ms 225220 KB Output is correct
79 Correct 132 ms 225232 KB Output is correct
80 Correct 131 ms 225216 KB Output is correct
81 Correct 174 ms 227288 KB Output is correct
82 Correct 183 ms 227268 KB Output is correct
83 Correct 176 ms 227268 KB Output is correct
84 Correct 174 ms 227396 KB Output is correct
85 Correct 178 ms 227264 KB Output is correct
86 Correct 171 ms 227264 KB Output is correct
87 Correct 191 ms 227268 KB Output is correct
88 Correct 186 ms 227264 KB Output is correct
89 Correct 168 ms 227264 KB Output is correct
90 Correct 170 ms 227268 KB Output is correct
91 Correct 224 ms 231616 KB Output is correct
92 Correct 232 ms 231640 KB Output is correct
93 Correct 220 ms 231652 KB Output is correct
94 Correct 225 ms 231808 KB Output is correct
95 Correct 218 ms 231780 KB Output is correct
96 Correct 226 ms 240496 KB Output is correct
97 Correct 220 ms 240316 KB Output is correct
98 Correct 213 ms 240316 KB Output is correct
99 Correct 221 ms 240320 KB Output is correct
100 Correct 226 ms 240440 KB Output is correct
101 Correct 233 ms 240316 KB Output is correct
102 Correct 223 ms 240308 KB Output is correct
103 Correct 227 ms 240188 KB Output is correct
104 Correct 221 ms 240256 KB Output is correct
105 Correct 219 ms 240344 KB Output is correct
106 Correct 217 ms 244672 KB Output is correct
107 Correct 240 ms 244548 KB Output is correct
108 Correct 220 ms 244668 KB Output is correct
109 Correct 214 ms 244672 KB Output is correct
110 Correct 228 ms 244924 KB Output is correct
111 Correct 220 ms 244672 KB Output is correct
112 Correct 219 ms 244668 KB Output is correct
113 Correct 229 ms 244808 KB Output is correct
114 Correct 220 ms 244668 KB Output is correct
115 Correct 220 ms 244672 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 76 ms 219192 KB Output is correct
2 Correct 68 ms 221024 KB Output is correct
3 Correct 79 ms 221264 KB Output is correct
4 Correct 76 ms 221120 KB Output is correct
5 Correct 85 ms 221148 KB Output is correct
6 Correct 77 ms 221184 KB Output is correct
7 Correct 75 ms 221124 KB Output is correct
8 Correct 66 ms 221124 KB Output is correct
9 Correct 73 ms 221120 KB Output is correct
10 Correct 72 ms 221120 KB Output is correct
11 Correct 75 ms 221124 KB Output is correct
12 Correct 78 ms 221124 KB Output is correct
13 Correct 73 ms 221124 KB Output is correct
14 Correct 113 ms 221124 KB Output is correct
15 Correct 165 ms 221124 KB Output is correct
16 Correct 195 ms 221120 KB Output is correct
17 Correct 180 ms 221116 KB Output is correct
18 Correct 195 ms 221120 KB Output is correct
19 Correct 196 ms 221124 KB Output is correct
20 Correct 184 ms 221032 KB Output is correct
21 Correct 189 ms 221124 KB Output is correct
22 Correct 186 ms 221124 KB Output is correct
23 Correct 189 ms 221252 KB Output is correct
24 Correct 189 ms 221124 KB Output is correct
25 Correct 195 ms 221252 KB Output is correct
26 Correct 74 ms 221132 KB Output is correct
27 Correct 80 ms 221040 KB Output is correct
28 Correct 79 ms 221152 KB Output is correct
29 Correct 116 ms 221124 KB Output is correct
30 Correct 159 ms 221120 KB Output is correct
31 Correct 190 ms 221124 KB Output is correct
32 Correct 193 ms 221120 KB Output is correct
33 Correct 200 ms 221124 KB Output is correct
34 Correct 192 ms 221164 KB Output is correct
35 Correct 191 ms 221252 KB Output is correct
36 Correct 204 ms 221076 KB Output is correct
37 Correct 193 ms 221120 KB Output is correct
38 Correct 194 ms 221116 KB Output is correct
39 Correct 196 ms 221124 KB Output is correct
40 Correct 194 ms 221068 KB Output is correct
41 Correct 74 ms 221124 KB Output is correct
42 Correct 76 ms 221052 KB Output is correct
43 Correct 81 ms 221180 KB Output is correct
44 Correct 70 ms 221120 KB Output is correct
45 Correct 74 ms 221124 KB Output is correct
46 Correct 81 ms 221120 KB Output is correct
47 Correct 105 ms 221124 KB Output is correct
48 Correct 107 ms 221120 KB Output is correct
49 Correct 133 ms 221248 KB Output is correct
50 Correct 173 ms 221088 KB Output is correct
51 Correct 219 ms 221128 KB Output is correct
52 Correct 218 ms 221256 KB Output is correct
53 Correct 217 ms 221124 KB Output is correct
54 Correct 221 ms 221152 KB Output is correct
55 Correct 235 ms 221124 KB Output is correct
56 Correct 214 ms 221120 KB Output is correct
57 Correct 220 ms 221376 KB Output is correct
58 Correct 225 ms 221252 KB Output is correct
59 Correct 218 ms 221120 KB Output is correct
60 Correct 212 ms 221268 KB Output is correct
61 Correct 222 ms 221100 KB Output is correct
62 Correct 221 ms 221248 KB Output is correct
63 Correct 220 ms 221128 KB Output is correct
64 Correct 217 ms 221120 KB Output is correct
65 Correct 213 ms 221124 KB Output is correct
66 Correct 211 ms 221176 KB Output is correct
67 Correct 224 ms 221212 KB Output is correct
68 Correct 218 ms 221120 KB Output is correct
69 Correct 219 ms 221088 KB Output is correct
70 Correct 219 ms 221172 KB Output is correct
71 Correct 110 ms 223168 KB Output is correct
72 Correct 107 ms 223304 KB Output is correct
73 Correct 98 ms 223172 KB Output is correct
74 Correct 110 ms 223124 KB Output is correct
75 Correct 106 ms 223172 KB Output is correct
76 Correct 141 ms 225216 KB Output is correct
77 Correct 128 ms 225156 KB Output is correct
78 Correct 130 ms 225220 KB Output is correct
79 Correct 132 ms 225232 KB Output is correct
80 Correct 131 ms 225216 KB Output is correct
81 Correct 174 ms 227288 KB Output is correct
82 Correct 183 ms 227268 KB Output is correct
83 Correct 176 ms 227268 KB Output is correct
84 Correct 174 ms 227396 KB Output is correct
85 Correct 178 ms 227264 KB Output is correct
86 Correct 171 ms 227264 KB Output is correct
87 Correct 191 ms 227268 KB Output is correct
88 Correct 186 ms 227264 KB Output is correct
89 Correct 168 ms 227264 KB Output is correct
90 Correct 170 ms 227268 KB Output is correct
91 Correct 224 ms 231616 KB Output is correct
92 Correct 232 ms 231640 KB Output is correct
93 Correct 220 ms 231652 KB Output is correct
94 Correct 225 ms 231808 KB Output is correct
95 Correct 218 ms 231780 KB Output is correct
96 Correct 226 ms 240496 KB Output is correct
97 Correct 220 ms 240316 KB Output is correct
98 Correct 213 ms 240316 KB Output is correct
99 Correct 221 ms 240320 KB Output is correct
100 Correct 226 ms 240440 KB Output is correct
101 Correct 233 ms 240316 KB Output is correct
102 Correct 223 ms 240308 KB Output is correct
103 Correct 227 ms 240188 KB Output is correct
104 Correct 221 ms 240256 KB Output is correct
105 Correct 219 ms 240344 KB Output is correct
106 Correct 217 ms 244672 KB Output is correct
107 Correct 240 ms 244548 KB Output is correct
108 Correct 220 ms 244668 KB Output is correct
109 Correct 214 ms 244672 KB Output is correct
110 Correct 228 ms 244924 KB Output is correct
111 Correct 220 ms 244672 KB Output is correct
112 Correct 219 ms 244668 KB Output is correct
113 Correct 229 ms 244808 KB Output is correct
114 Correct 220 ms 244668 KB Output is correct
115 Correct 220 ms 244672 KB Output is correct
116 Correct 2549 ms 222936 KB Output is correct
117 Correct 2561 ms 222912 KB Output is correct
118 Correct 4887 ms 223168 KB Output is correct
119 Correct 5201 ms 223192 KB Output is correct
120 Correct 5703 ms 223188 KB Output is correct
121 Execution timed out 7074 ms 222516 KB Time limit exceeded
122 Halted 0 ms 0 KB -