Submission #1287838

#TimeUsernameProblemLanguageResultExecution timeMemory
1287838muhammad-mutahirBinaria (CCO23_day1problem1)C++20
25 / 25
61 ms23924 KiB
#include <bits/stdc++.h> using namespace std; #define print(l) for(auto i:l) cout<<i<<" ";cout<<endl; #define input(t,l,n) vector<t>l(n);for(int i = 0;i<n;i++)cin>>l[i]; #define int long long #define pb push_back #define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> #define all(l) l.begin(),l.end() #define pii pair<int,int> #define fi first #define se second const int M = 1e6+3; const int inf = 1e18; int bp(int x, int y, int p){ int res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } int MI(int n, int p){ return bp(n, p - 2, p); } int mul(int x,int y, int p){ return x * 1ull * y % p; } int di(int x,int y, int p){ return mul(x, MI(y, p), p); } int n , m , k , q; vector<int>fact; int cho(int n,int r){ if(r > n or r < 0){ return 0; } // return fact[n]/(fact[r]*fact[n-r]); return di(fact[n],mul(fact[n-r],fact[r],M),M); } void solve(int testcase_number){ cin>>n>>k; input(int,l,n-k+1); if(n == k){ cout<<cho(k,l[0])<<endl; return; } vector<int>a(n+1,-1); for(int i = 0;i+k<n;i++){ if(l[i] ==l[i+1])continue; if(l[i] < l[i+1]){ a[i] = 0; a[i+k] = 1; } else if(l[i] > l[i+1]){ a[i] = 1; a[i+k] = 0; } } // print(a); for(int i =0 ;i<k;i++){ if(a[i] == -1){ int j = i+k; while(j<n){ if(a[j] != -1){ a[i] = a[j]; break; } j+=k; } } } int c1,c; c1 = c = 0; for(int i = 0;i<k;i++){ if(a[i] == -1){ c++; } if(a[i] == 1){ c1++; } } // cout<<l[0]<<" "<<c1<<" "<<c<<endl; cout<<cho(c,l[0]-c1)<<endl; // vector<int>cnt,cnt1; // cnt1 = {0}; // cnt = cnt1; // for(int i:a){ // cnt.pb(cnt.back()+(i == -1)); // cnt1.pb(cnt1.back()+(i == 1)); // } // int ans = 1e9; // int ans2; // int val; // for(int i = 0;i<n-k;i++){ // int le = i+1; // int ri = i+k; // int cntn1 = cnt[ri]-cnt[le-1]; // int cn1 = cnt1[ri]-cnt1[le-1]; // if(cntn1 < ans){ // ans = cntn1; // ans2 = cn1; // val = l[i]; // } // cout<<cho(cnt[ri]-cnt[le],l[i]-(cnt1[ri]-cnt1[le-1]))<<" "<<le<<" "<<ri<<endl; // if(cho(cnt[ri]-cnt[le],l[i]-(cnt1[ri]-cnt1[le-1])) >=1) // ans = min(ans,cho(cnt[ri]-cnt[le],l[i]-(cnt1[ri]-cnt1[le-1]))); // } // print(a); // cout<<an // cout<<cho(ans,val-ans2)<<endl; // cout<<ans%M<<endl; // int k1 = 0; // int c1= 0; // for(int i =0;i<k;i++){ // if(a[i] == -1){ // k1++; // } // else{ // if(a[i] == 1){ // c1++; // } // } // } // int k2 = 0; // int c2= 0; // for(int i = n-1;i>=n-k;i--){ // if(a[i] == -1){ // k2++; // } // if(a[i] == 1){ // c2++; // } // } // if(ans1<min(cho(k2,l.back()-c2),cho(k1,l[0]-c1))){ // int tt = 0; // while(1){ // tt++; // } // } // cout<<min(cho(k2,l.back()-c2),cho(k1,l[0]-c1))<<endl; } signed main(){ ios::sync_with_stdio(0);//DO NOT USE IN INTERACTIVE cin.tie(0), cout.tie(0); cout << fixed<<setprecision(9); fact.resize(1e6+12,0); fact[0] = 1; for(int i = 1;i<=1e6+10;i++){ fact[i] = fact[i-1]*i; fact[i]%=M; } int t = 1; // cin>>t; for(int i = 1;i<=t;i++){ solve(i); } }
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