Submission #784110

#	Time	Username	Problem	Language	Result	Execution time	Memory
784110		Lobo	Diversity (CEOI21_diversity)	C++17	0 / 100	5 ms	7380 KiB

diversity

#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
const int maxn = 3e5+10;

int n, q, a[maxn], ansq[maxn], pre[maxn], fq[maxn];

int cost(vector<int> v) {
    int ans = 0;
    int sum_all = 0;
    for(auto x : v) sum_all+= x;
    int sr = sum_all;
    int sl = 0;
    for(int i = 0; i < v.size(); i++) {
        sr-= v[i];
        ans+= sl*sr + v[i]*(sum_all-v[i]) + v[i]*(v[i]+1)/2;
        sl+= v[i];
    }
    return ans;
}

vector<pair<int,int>> vtof(vector<int> v) {
    vector<pair<int,int>> ans;
    if(v.size() == 0) return ans;
    ans.pb(mp(v[0],1));
    for(int i = 1; i < v.size(); i++) {
        if(v[i] == v[i-1]) {
            ans.back().sc++;
        }
        else {
            ans.pb(mp(v[i],1));
        }
    }
    return ans;
}

// val, freq
int costf(deque<pair<int,int>> v) {
    int ans = 0;
    int sum_all = 0;
    for(auto x : v) sum_all+= x.fr*x.sc;
    int sr = sum_all;
    int sl = 0;
    for(int i = 0; i < v.size(); i++) {
        int val = v[i].fr;
        int frq = v[i].sc;
        sr-= val*frq;
        ans+= sl*sr*frq + (frq*(frq+1)/2)*val*(sl+sr) + frq*(val*(val+1)/2);

        if(frq >= 2) {
            ans+= val*val*(frq-1)*(frq);
            ans+= val*val*frq*(frq-2)*(frq-1)/2;
            ans-= pre[frq-2]*val*val;
            // for(int j = 1; j <= frq-2; j++) {
            //     ans-= val*val*j*(j+1);
            // }
        }
        sl+= val*frq;
    }
    return ans;
}
const int B = 1300;
vector<pair<pair<int,int>,int>> bls[maxn];
void solve() {

    // vector<pair<int,int>> wtf = {{2,3}};
    // // vector<pair<int,int>> wtf = {{2,1},{2,1},{2,1}};
    // cout << costf(wtf) << endl;
    // exit(0);
    cin >> n >> q;
    vector<int> cc;

    for(int i = 1; i <= n; i++) {
        pre[i] = pre[i-1]+i*(i+1);
        cin >> a[i];
        cc.pb(a[i]);
    }
    sort(all(cc));
    cc.erase(unique(all(cc)),cc.end());
    for(int i = 1; i <= n; i++) a[i] = upper_bound(all(cc),a[i])-cc.begin();

    for(int i = 1; i <= q; i++) {
        int l,r; cin >> l >> r;
        bls[l/B].pb(mp(mp(r,l),i));
    }

    for(int b = 0; b*B <= n; b++) {
        sort(all(bls[b]));

        int l = b*B;
        int r = b*B-1;
        map<int,int> fq1;
        for(auto X : bls[b]) {
            int l1 = X.fr.sc;
            int r1 = X.fr.fr;

            while(r < r1) {
                fq1[fq[a[r+1]]]--;
                if(fq1[fq[a[r+1]]] == 0) fq1.erase(fq[a[r+1]]);
                fq[a[r+1]]++;
                fq1[fq[a[r+1]]]++;
                r++;
            }

            while(l < l1) {
                fq1[fq[a[l]]]--;
                if(fq1[fq[a[l]]] == 0) fq1.erase(fq[a[l]]);
                fq[a[l]]--;
                fq1[fq[a[l]]]++;
                l++;
            }

            while(l > l1) {
                fq1[fq[a[l-1]]]--;
                if(fq1[fq[a[l-1]]] == 0) fq1.erase(fq[a[l-1]]);
                fq[a[l-1]]++;
                fq1[fq[a[l-1]]]++;
                l--;
            }

            vector<pair<int,int>> v1;
            deque<pair<int,int>> v;
            for(auto x : fq1) {
                if(x.fr != 0) v1.pb(x);
            }

            int cnt = 0;
            for(int i = (int) v1.size()-1; i >= 0; i--) {
                int x1 = v1[i].sc/2;
                int x2 = v1[i].sc-x1;

                if(x1 != x2) {
                    if(cnt == 0 && x1 > x2) swap(x1,x2);
                    else if(cnt == 1 && x1 < x2) swap(x1,x2);
                    cnt^=1;
                }
                v.pb(mp(v1[i].fr,x1));
                v.push_front(mp(v1[i].fr,x2));
            }

            ansq[X.sc] = costf(v);
        }

        while(l <= r) {
            fq[a[l]]--;
            l++;
        }
    }

    for(int i = 1; i <= q; i++) {
        cout << ansq[i] << endl;
    }
}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    int tt = 1;
    // cin >> tt;
    while(tt--) {
        solve();
    }

}

Compilation message (stderr)

diversity.cpp: In function 'long long int cost(std::vector<long long int>)':
diversity.cpp:23:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   23 |     for(int i = 0; i < v.size(); i++) {
      |                    ~~^~~~~~~~~~
diversity.cpp: In function 'std::vector<std::pair<long long int, long long int> > vtof(std::vector<long long int>)':
diversity.cpp:35:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |     for(int i = 1; i < v.size(); i++) {
      |                    ~~^~~~~~~~~~
diversity.cpp: In function 'long long int costf(std::deque<std::pair<long long int, long long int> >)':
diversity.cpp:53:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::deque<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |     for(int i = 0; i < v.size(); i++) {
      |                    ~~^~~~~~~~~~
diversity.cpp: In function 'int32_t main()':
diversity.cpp:167:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  167 |     freopen("in.in", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 0 / 4
• Subtask 2: 0 / 10
• Subtask 3: 0 / 8
• Subtask 4: 0 / 16
• Subtask 5: 0 / 26
• Subtask 6: 0 / 36