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//解説見ました. #include <bits/stdc++.h> using namespace std; using ll = long long; const ll mod = 1000000007; ll dp[105][4][2]; int main(){ string s; cin >>s; ll n = s.size(); ll hi; cin >> hi; dp[0][0][0]=1; for(int i=0; i<n; i++){ for(int j=0; j<4; j++){ for(int k=0; k<2; k++){ ll nd = s[i]-'0'; for(int d=0; d<10; d++){ int ni=i+1,nj=j,nk=k; if(d!=0)nj++; if(nj>hi)continue; if(k==0){ if(d>nd)continue; if(d<nd)nk=1; } dp[ni][nj][nk] += dp[i][j][k]; } } } } ll ans = dp[n][hi][0] + dp[n][hi][1]; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N=110; char s[N]; int dp[5][N][2],k,n; int dfs(int now,int num,int flag){ int ans=0; if(num>k)return 0; if(now==n+1)return(num==k); if(dp[num][now][flag]!=-1)return dp[num][now][flag]; int lim=9;if(flag)lim=s[now]-'0'; for(int i=0;i<=lim;i++){ ans+=dfs(now+1,num+(i!=0),flag&&(i==lim)); } return dp[num][now][flag]=ans; } int main(){ scanf("%s",s+1); scanf("%d",&k); memset(dp,-1,sizeof(dp)); n=strlen(s+1); cout<<dfs(1,0,1); }
#include <bits/stdc++.h> #define rep(i,n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; int dp[105][5][2]; int main() { string s; int K; cin >> s >> K; dp[0][0][0] = 1; int n=s.length(); rep(i, n) rep(k, K+1) rep(t, 2) { int d=s[i]-'0'; rep(j, 10) { if(t == 0 && j>d) continue; if(t == 0 && j==d) { dp[i+1][k+(j>0)][0] += dp[i][k][t]; } else { dp[i+1][k+(j>0)][1] += dp[i][k][t]; } } } cout << dp[n][K][0]+dp[n][K][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN=110; int n,k,cnt,ans,p[4]={1,9,81,729}; char c[MAXN]; int cx (int x,int k) { if (k==0) {return 1;} if (k==1) {return x;} if (k==2) {return (x*(x-1))/2;} if (k==3) {return (x*(x-1)*(x-2))/6;} return 0; } int main () { scanf("%s%d",c+1,&k); int n=strlen(c+1); for (int i=1;i<=n;i++) { if (c[i]!='0') { cnt++; ans+=cx(n-i,k-cnt+1)*p[k-cnt+1]; ans+=(c[i]-'0'-1)*cx(n-i,k-cnt)*p[k-cnt]; } } printf("%d\n",ans+(cnt==k)); return 0; }
#include<bits/stdc++.h> #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; int main(){ string s;cin >> s; ll K,n = s.size(),i,j,k,l;cin >> K; ll dp[n+1][2][K+2]; memset(dp,0,sizeof(dp));dp[0][0][0] = 1; ll z; for(i=0;i<n;i++){ z = s[i]-'0'; for(j=0;j<2;j++){ for(k=0;k<=K;k++){ dp[i+1][j|(z!=0)][k] += dp[i][j][k]; for(l=1;l<=(j ? 9:z);l++){ dp[i+1][j|(l<z)][k+1] += dp[i][j][k]; } } } } printf("%lld\n",dp[n][0][K]+dp[n][1][K]); }
#include <bits/stdc++.h> using namespace std; using ll = long long; string N; int K; ll dp[150][2][5]; void solve() { dp[0][0][0]=1; const int n = N.length(); for(int i=0;i<n;++i)for(int smaller=0;smaller<2;++smaller)for(int num=0;num<=K;++num){ for(int k=0;k<=(smaller?9:N[i]-'0');++k){ if(k == 0) dp[i+1][smaller|(k<N[i]-'0')][num] += dp[i][smaller][num]; else{ if(num < K) dp[i+1][smaller|(k<N[i]-'0')][num+1] += dp[i][smaller][num]; } } } ll ans = dp[n][0][K]+dp[n][1][K]; cout << ans << '\n'; } int main() { cin >> N; cin >> K; solve(); return 0; }
#include<bits/stdc++.h> using namespace std; #define lowbit(x) ((x)&(-x)) int n,K,dp[5][105][3]; char str[105]; int dfs(int m,int use,int limit) { if(use>K){ return 0; } if(m>n){ return use==K; } if(dp[use][m][limit] != -1){ return dp[use][m][limit]; } int up=limit==1?str[m]-'0':9,ans=0; for(int i = 0; i <= up; ++i){ ans += dfs(m+1, use+(i!=0), limit&&i==up); } return dp[use][m][limit]=ans; } void run_case() { cin>>(str+1)>>K; n=strlen(str+1); memset(dp,-1,sizeof(dp)); cout<<dfs(1, 0, 1)<<endl; } int main(){ run_case(); cout.flush(); return 0; }
#include<bits/stdc++.h> using namespace std; string S; int K; int N; int dp[110][5][2]; int main() { cin>>S>>K; N = S.length(); dp[0][0][1] = 1; for(int i = 0; i < N; i ++) { for(int j = 0; j <= K; j ++) { int Num = S[i] - '0'; if(Num == 0) { dp[i + 1][j][0] += dp[i][j][0]; dp[i + 1][j][1] += dp[i][j][1]; dp[i + 1][j + 1][0] += (dp[i][j][0] * 9); } else { dp[i + 1][j][0] += (dp[i][j][0] + dp[i][j][1]); dp[i + 1][j + 1][0] += (dp[i][j][0] * 9); dp[i + 1][j + 1][0] += (dp[i][j][1] * (Num - 1)); dp[i + 1][j + 1][1] += dp[i][j][1]; } } } cout<<dp[N][K][0] + dp[N][K][1]<<endl; return 0; }
#include <bits/stdc++.h> #define rep(i, n) for(int i = 0; i < n; i++) using namespace std; using ll = long long; using P = pair<int, int>; int dp[105][4][2]; int main(){ string s; int K; cin >> s >> K; int n = s.size(); dp[0][0][0] = 1; rep(i, n)rep(j, 4)rep(k, 2){ int nd = s[i]-'0'; rep(d, 10){ int ni = i+1, nj = j, nk = k; if(d != 0) nj++; if(nj > K) continue; if(k == 0){ if(d > nd) continue; if(d < nd) nk = 1; } dp[ni][nj][nk] += dp[i][j][k]; } } int ans = dp[n][K][0] + dp[n][K][1]; cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; long long under[110][5]; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); string s; int k; cin >> s >> k; int n = s.size(); int cnt = 0; for (int i = 0; i < n; i++) { int sn = s[i] - '0'; for (int u = 0; u <= 3; u++) { for (int d = 0; d < 10; d++) { under[i+1][u+(d!=0)] += under[i][u]; } } for (int d = 0; d < sn; d++) { if ((cnt + (d!=0)) < 5) under[i+1][(d!=0)+cnt] += 1; } cnt += (sn != 0); } cout << under[n][k] + (cnt == k) << "\n"; return 0; }
#include<bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); ++i) template <typename A,size_t N,typename T> void Fill(A(&array)[N],const T &val){ fill((T*)array,(T*)(array+N),val); } int main() { string N; int k; cin >> N >> k; int l=N.size(); vector<int> v(l); rep(i,l) v[i]=(N[i]-'0'); int dp[101][2][5]={}; // Fill(dp,0); dp[0][0][0]=1; rep(i,l) rep(s,2){ int y=(s?9:v[i])+1; rep(j,k+1) rep(x,y){ dp[i+1][s||x<v[i]][j+(x>0)]+=dp[i][s][j]; } } cout<<dp[l][0][k]+dp[l][1][k]; }
#include <iostream> #include <string> using namespace std; long long dp[105][2][105]; int main() { string N; cin >> N; int n = N.size(); int k; cin >> k; dp[0][0][0] = 1; for (int i = 0; i < n; ++i) { for (int smaller = 0; smaller < 2; ++smaller) { for (int j = 0; j < n; ++j) { for (int k = 0; k <= (smaller ? 9 : N[i] - '0'); ++k) { dp[i + 1][smaller || k < N[i] - '0'][j + (k ? 1 : 0)] += dp[i][smaller][j]; } } } } cout << dp[n][0][k] + dp[n][1][k] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { string n; int k, d[5] = {}, e[5] = {0, 1}; cin >> n >> k; for(auto c : n) { for(int i = k; i >= 0; i--) { d[i + 1] += d[i] * 9; if(c != '0') d[i + 1] += e[i + 1] + e[i] * (c - '1'), e[i + 1] = e[i]; } } cout << d[k + 1] + e[k + 1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define ll long long #define loop(__x, __start, __end) for(int __x = __start; __x < __end; __x++) string s; int n, k; ll dp[1010][5][2]; ll dfs(int i = 0, int x = 0, bool l = true) { if (i == n) return x == k; if (x > k) return 0; ll &cc = dp[i][x][l]; if (~cc) return cc; ll ans = 0; int u = l ? s[i]-'0' : 9; loop(d,0,u+1) { ans += dfs(i + 1, x + (d != 0), l && d == u); } return cc = ans; } int main() { cin >> s; cin >> k; n = s.size(); memset(dp, -1, sizeof(dp)); cout << dfs() << endl; return 0; }
#include<bits/stdc++.h> #define ll long long using namespace std; ll cache[105][2][5]; string s; ll k; ll dp(ll n,ll f,ll cnt) { if(cnt>k) return 0; if(n==s.size()) { if(cnt==k) { return 1; } return 0; } if(cache[n][f][cnt]!=-1) return cache[n][f][cnt]; ll m; if(f==1) m=9; else m=s[n]-'0'; ll ans=0; for(ll i=0;i<=m;i++) { if(i!=0) { if(i!=m) ans+=dp(n+1,1,cnt+1); else ans+=dp(n+1,f,cnt+1); } else { if(i!=m) ans+=dp(n+1,1,cnt); else ans+=dp(n+1,f,cnt); } } return cache[n][f][cnt]=ans; } int main() { cin>>s; cin>>k; memset(cache,-1,sizeof(cache)); cout<<dp(0,0,0); }
#include <bits/stdc++.h> using namespace std; string n;int ans,k; int g(int a,int b){ int res=1; for(int i=0;i<b;i++)res*=a-i; for(int i=1;i<=b;i++)res/=i; while(b--)res*=9; return res; } int f(int i,int a){ int res=0,rem=n.size()-i; if(rem<a)return 0; if(!a)return 1; if(n[i]=='0')return f(i+1,a); return f(i+1,a-1)+(n[i]-'1')*g(rem-1,a-1)+g(rem-1,a); } signed main(){ cin>>n>>k; cout<<f(0,k)<<endl; }
#include<iostream> #include<algorithm> #include<string> using namespace std; typedef long long ll; string N; int K; ll dp[100 + 10][2][4]; int main() { cin >> N >> K; dp[0][1][0] = 1; for (int i = 0; i < N.size(); i++) { for (int j = 0; j < 2; j++) { for (int k = 0; k <= K; k++) { for (int d = 0; d <= (j ? N[i] - '0' : 9); d++) { if(d == 0) dp[i + 1][(!j) ? 0 : ((d == (N[i] - '0')) ? 1 : 0)][k] += dp[i][j][k]; else if(k != K) dp[i + 1][(!j) ? 0 : ((d == (N[i] - '0')) ? 1 : 0)][k + 1] += dp[i][j][k]; } } } } cout << dp[N.size()][0][K] + dp[N.size()][1][K] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { // dp[i][j][k] // kは0以外の桁数0,1,2,3,4以上の5種類 int dp[120][2][5] = {}; string N; int K; cin >> N >> K; vector<int> n(N.size()); for(int i = 0; i < N.size(); ++i){ n.at(i) = N.at(i) - '0'; } dp[0][0][0] = 1; for(int i = 0; i < n.size(); ++i){ for(int j = 0; j < 2; ++j){ for(int k = 0; k < 5; ++k){ for(int x = 0; x <= (j ? 9 : n.at(i)); ++x){ dp[i+1][j || x < n.at(i)][min(k + (x!=0), 4)] += dp[i][j][k]; } } } } cout << dp[n.size()][0][K] + dp[n.size()][1][K] << endl; return 0; }
#include <algorithm> #include <iostream> using namespace std; const int N = 100, K = 3; int dp[N + 1][K + 1], dq[N + 1][K + 1]; int main() { string s; cin >> s; int n = s.length(); int k; cin >> k; dp[0][0] = 0; dq[0][0] = 1; for (int i = 0; i < n; i++) { int d = s[i] - '0'; for (int j = 0; j <= k; j++) { dp[i + 1][j] += dp[i][j]; if (j < k) dp[i + 1][j + 1] += dp[i][j] * 9; if (d == 0) dq[i + 1][j] += dq[i][j]; else { dp[i + 1][j] += dq[i][j]; if (j < k) { dp[i + 1][j + 1] += dq[i][j] * (d - 1); dq[i + 1][j + 1] += dq[i][j]; } } } } cout << dp[n][k] + dq[n][k] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int main(){ string N; cin >> N; int K; cin >> K; int L = N.size(); vector<int> n(L); for (int i = 0; i < L; i++){ n[i] = N[i] - '0'; } vector<vector<vector<long long>>> dp(L + 1, vector<vector<long long>>(2, vector<long long>(K + 2, 0))); dp[0][0][0] = 1; for (int i = 0; i < L; i++){ for (int j = 0; j < 2; j++){ for (int k = 0; k <= K; k++){ for (int d = 0; d <= (j ? 9 : n[i]); d++){ dp[i + 1][j | d < n[i]][d == 0 ? k : k + 1] += dp[i][j][k]; } } } } cout << dp[L][0][K] + dp[L][1][K] << endl; }
#include<bits/stdc++.h> #define rep(i, n) for(int i = 0; i < (int)(n); i++) using ll = long long; using namespace std; int dp[102][4][2]; int main(){ string N; int K; cin >> N >> K; int ketasu = N.size(); dp[0][0][0] = 1;//0桁の/非0数が0個の/不確定に1 rep(i, ketasu)rep(j, K+1)rep(k, 2){ int a = N[i] - '0'; int ni = i+1; rep(d, 10){ int nj = j, nk = k; if(d != 0) nj++; if(nj > K) continue; if(nk == 0){ if(d > a) continue; if(d < a) nk = 1; } dp[ni][nj][nk] += dp[i][j][k]; } } cout << dp[ketasu][K][0] + dp[ketasu][K][1] << endl; return 0; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int,int> P; #define rep(i,N) for(ll (i)=0;(i)<(N);(i)++) const int mod = 1000000007; int dp[105][4][2]; int main(){ string s; int K; cin >> s >> K; int n = s.size(); dp[0][0][0] = 1; rep(i, n)rep(j, 4)rep(k, 2) { int nd = s[i] - '0'; rep(d, 10) { int ni = i + 1, nj = j, nk = k; if(d != 0) ++nj; if(nj > K) continue; if (k == 0) { if(d > nd) continue; if(d < nd) nk = 1; } dp[ni][nj][nk] += dp[i][j][k]; } } int ans = dp[n][K][0] + dp[n][K][1]; cout << ans << endl; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; int main(){ string s;cin >> s; int K;cin >> K; int n=s.size(); ll dp[n+1][2][K+2]; memset(dp,0,sizeof(dp)); dp[0][0][0]=1; for(int i=0;i<n;i++){ int p=s[i]-'0'; for(int j=0;j<2;j++){ for(int k=0;k<=K;k++){ for(int l=0;l<=(j?9:p);l++){ dp[i+1][j||(l<p)][k+(l!=0)]+=dp[i][j][k]; } } } } cout << dp[n][0][K]+dp[n][1][K] << endl; }
#include <bits/stdc++.h> using namespace std; typedef long long llint; // dp[決めた桁数][N未満][0でない数字が何個あるか] llint dp[111][2][5]; int main() { string s; int k, n; cin >> s >> k; n = s.size(); dp[0][0][0] = 1; for (int i = 0; i < n; i++) { int num = s[i] - '0'; for (int j = 0; j < 2; j++) { // N未満かどうか for (int z = 0; z <= k; z++) { // 0でない数字が何個あるか for (int d = 0; d <= (j ? 9 : num); d++) { dp[i + 1][j || (d < num)][z + (d > 0)] += dp[i][j][z]; } } } } cout << dp[n][0][k] + dp[n][1][k] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dp[101][4][2]; int main() {string s; cin >> s; int n = s.size(); int K; cin >> K; dp[0][0][0] = 1; for (int i = 0; i < n; ++i) {auto D = s[i] - '0'; for (int j = 0; j <= K; ++j) {for (int k = 0; k < 2; ++k) {for (int d = 0; d <= 9; ++d) {auto j1 = j, k1 = k; if (d > 0) ++j1; if (j1 > K) continue; if (k == 0) {if (d > D) continue; if (d < D) k1 = 1;} dp[i + 1][j1][k1] += dp[i][j][k];}}}} cout << dp[n][K][0] + dp[n][K][1] << endl;}
#include <bits/stdc++.h> using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define MAX_N 10000 #define MAX_L 100 const int MOD=1e9+7; int dp[MAX_N+1][2][MAX_L+2]; int main() { int K,l; string N; cin >> N >> K; l = N.size(); rep(i,l+1) rep(j,2) rep(k,l+1) dp[i][j][k] = 0; dp[0][0][1] = 1; rep(i,l) { int x = N.at(i)-'0'; rep(j,2) rep(k,l+2) rep(p,(j?9:x)+1) dp[i+1][j || p<x][k + (p!=0)] += dp[i][j][k]; } cout << dp[l][0][K+1]+dp[l][1][K+1] << endl; }
#include<bits/stdc++.h> using namespace std; #define int long long string s1; int n,k; int a[10001]; int dp[101][2][101][2]; int dfs(int x,int up,int num,int pre) { if(x==0) return num==k; if(dp[x][up][num][pre]!=-1) return dp[x][up][num][pre]; dp[x][up][num][pre]=0; // if(pre!=0) dp[x][up][num][pre]+=dfs(x-1,up&&('0'==s1[x-1]),num,pre); for(int i=1;i<=9;i++) { if(up&&i+'0'>s1[x-1]) break; dp[x][up][num][pre]+=dfs(x-1,up&&(i+'0'==s1[x-1]),num+1,1); } return dp[x][up][num][pre]; } signed main() { cin>>s1>>k; reverse(s1.begin(),s1.end()); n=s1.length(); memset(dp,-1,sizeof(dp)); printf("%lld",dfs(s1.length(),1,0,0)); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[110][5][2]; int main(){ ios::sync_with_stdio(0); cout << setprecision(10) << fixed; string s; int k; cin >> s >> k; int n = s.size(); dp[0][0][0] = 1; for (int i = 0; i < n; ++i){ int sd = s[i] - '0'; for (int j = 0; j <= k; ++j){ for (int less = 0; less < 2; ++less){ for (int d = 0; d <= (less ? 9 : sd); ++d){ dp[i + 1][j + (d != 0)][less || (d < sd)] += dp[i][j][less]; } } } } cout << dp[n][k][0] + dp[n][k][1]; return 0; }
#include <bits/stdc++.h> #define rep(i,n) for(int i=0;i<(n);++i) using namespace std; typedef long long ll; typedef pair<int, int> P; int dp[105][4][2]; int main() { string s; cin >> s; int K; cin >> K; int n = s.size(); dp[0][0][0] = 1; rep(i, n)rep(j, 4)rep(k, 2) { int nd = s[i] - '0'; rep(d, 10) { int ni = i + 1, nj = j, nk = k; if (d != 0) nj++; if (nj > K) continue; if (k == 0) { if (nd < d) continue; if (nd > d) nk = 1; } dp[ni][nj][nk] += dp[i][j][k]; } } int ans = dp[n][K][1] + dp[n][K][0]; cout << ans << endl; return 0; }
#include <iostream> #include <algorithm> #include <cstring> #include <string> using namespace std; string N; long long dptable[100][4][2]; long long dp(int i, int j, bool adh) { if (j == 0) return 1; if (i == N.size()) return 0; if (dptable[i][j][adh] != -1) return dptable[i][j][adh]; if (adh) return dptable[i][j][adh] = dp(i + 1, j, N[i] == '0') + (N[i] == '0' ? 0 : ((N[i] - '0' - 1) * dp(i + 1, j - 1, false) + dp(i + 1, j - 1, adh))); else return dptable[i][j][adh] = dp(i + 1, j, adh) + 9 * dp(i + 1, j - 1, adh); } int main() { memset(dptable, -1, sizeof dptable); int K; cin >> N >> K; cout << dp(0, K, true); return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i,n) for(int i=0;i<n;i++) #define REP(i,n) for(int i=1;i<=n;i++) typedef long long ll; ll dp[103][2][4]; int main(){ string n; cin >> n; int k; cin >> k; int l = n.size(); dp[0][0][0] = 1; for (int i = 0; i < l; ++i) { int D = n[i] - '0'; for (int smaller = 0; smaller < 2 ; ++smaller) { for (int j = 0; j <= k ; ++j) { for (int x = 0; x <= (smaller ? 9 : D) ; ++x) { int nj = j; if(x != 0) nj++; if(nj > k) continue; dp[i+1][smaller || (x < D)][nj] += dp[i][smaller][j]; } } } } cout << dp[l][1][k] + dp[l][0][k] << endl; return 0; }
#include<bits/stdc++.h> using namespace std; #define int long long string str; int dp[666][666]; int a[666];int k; int dfs(int pos,int state,bool lead/*前导零*/,bool limit/*数位上界变量*/){ if(pos==-1) return k==state; if(!limit && !lead && dp[pos][state]!=-1) return dp[pos][state]; int up=limit?a[pos]:9; int ans=0; for(int i=0;i<=up;i++){ ans+=dfs(pos-1,state+((i == 0?0:1)),i==0&&lead,limit&& i==a[pos]); } if(!limit && !lead) dp[pos][state]=ans; return ans; } signed main(){ memset(dp,-1,sizeof(dp)); cin>>str>>k;int cnt=0; for(int i=str.size()-1;i>=0;i--) a[cnt++]=(str[i]-'0'); cout<<dfs(cnt-1,0,true,true); return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for(int i = 0; i < (n); ++i) int dp[110][2][5]; int main() { string S; int K; cin >> S >> K; int N = S.size(); dp[0][0][0] = 1; rep(i, N) rep(less, 2) rep(k, 4) { int x = less ? 9 : S[i] - '0'; rep(d, x + 1) { dp[i + 1][less || d < x][k + (d > 0)] += dp[i][less][k]; } } cout << dp[N][0][K] + dp[N][1][K] << '\n'; return 0; }
#include <iostream> using namespace std; using ll = long long; #define rep(i, n) for (int i = 0; i < (int)(n); ++i) ll dp[105][2][5]; int main() { string s; cin >> s; int M; cin >> M; int n = s.size(); dp[0][0][0] = 1; rep(i, n) { int t = s[i] - '0'; rep(j, 2) for (int k = 0; k <= M; ++k) { for (int d = 0; d <= (j ? 9 : t); ++d) { dp[i + 1][j || (d < t)][min(k + (d != 0), M + 1)] += dp[i][j][k]; } } } cout << dp[n][1][M] + dp[n][0][M] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string num, t = ""; int k, n; long long rec (int j, int cnt) { if (cnt == k) return t <= num; long long res = 0LL; for (int i = j; i < n; ++i) { if (t[i] == '0') { for (char c = '1'; c <= '9'; ++c) { t[i] = c; res += rec(i + 1, cnt + 1); t[i] = '0'; } } } return res; } signed main () { cin >> num >> k; n = num.size(); t = string(n, '0'); cout << rec(0, 0) << '\n'; }
#include<iostream> using namespace std; string N;long K,dp[111][2][4],i,j,k,l,r,c,M; int main(){ cin>>N>>K; M=N.size(); dp[0][0][0]=1; for(i=0;i<M;i++){ for(j=0;j<2;j++){ r=j?9:N[i]-'0'; for(k=0;k<=K;k++){ for(l=0;l<=r;l++){ c=k+!!l; if(c<=K)dp[i+1][j||l<r][c]+=dp[i][j][k]; } } } } cout<<dp[M][0][K]+dp[M][1][K]<<endl; }
#include <bits/stdc++.h> using namespace std; int k; string s; string t; int Rec(int i = 0, int Last = -1) { if(i == k) return t <= s; int Res = 0; for(int j = Last + 1; j < s.size(); j++) { if(t[j] == '0') { for(int r = 1; r < 10; r++) { t[j] = r + '0'; Res += Rec(i + 1, j); t[j] = '0'; } } } return Res; } int main() { cin >> s >> k; t = string(s.size(), '0'); cout << Rec() << endl; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; string s; int ln,k; ll fun(int id,int ch,int k) { ll ans=0; int vl=s[id]-'0'; if(k==0) return 1; if(k<0 || id>=ln) return 0; if(ch && !vl) ans=fun(id+1,1,k); else ans=fun(id+1,0,k); for(int i=1;i<=9;i++) { if(ch) { if(i<vl) ans+=fun(id+1,0,k-1); else if(i==vl) ans+=fun(id+1,1,k-1); } else ans+=fun(id+1,0,k-1); } return ans; } int main() { cin>>s>>k; ln=s.length(); cout<<fun(0,1,k); return 0; }
#include<bits/stdc++.h> using namespace std; using ll = long long; int dp[110][5]; string s; int k, n; ll dfs(int pos, int num, bool lim){ if(num>k)return 0; if(pos>=n) return num==k; if(!lim&&dp[pos][num]!=-1)return dp[pos][num]; ll ret = 0; int up = lim?s[pos]-'0':9; for(int i=0; i<=up; ++i){ ret += dfs(pos+1, num+(i!=0), lim&&(i==up)); } if(!lim)dp[pos][num]=ret; return ret; } int main() { cin >> s >> k; memset(dp, -1, sizeof(dp)); n=s.size(); cout << dfs(0, 0, 1)<<"\n"; }
#include <bits/stdc++.h> #define int long long using namespace std; string N; int K; int dp[1000][2][10]; signed main(){ cin>>N>>K; dp[0][0][0]=1; int l=N.size(); for(int i=0;i<l;i++){ for(int smaller=0;smaller<2;smaller++){ //smallerが1ならi桁目まではNと一緒 //0ならNよりも小さいことが確定している for(int j=0;j<=K;j++){ for(int k=0; k<=(smaller ? 9 : N[i]-'0'); k++){ dp[i+1][smaller or (k<(N[i]-'0'))][k==0 ? j : j+1]+=dp[i][smaller][j]; } } } } cout<<dp[l][0][K]+dp[l][1][K]<<endl; }
#include<bits/stdc++.h> using namespace std; char n[109]; int k,dp[109][5],limit[109][5]; int main() { scanf("%s%d",n,&k); int len=strlen(n); dp[0][0]=1; dp[0][1]=n[0]-'0'; limit[0][1]=n[0]=='0'?0:1; limit[0][0]=n[0]=='0'?1:0; for(int i=0;i+1<len;i++) for(int j=0;j<=min(k,i+1);j++) { dp[i+1][j]+=dp[i][j]; dp[i+1][j+1]+=dp[i][j]*9-limit[i][j]*(9-n[i+1]+'0'); limit[i+1][j]+=(n[i+1]=='0'?limit[i][j]:0); limit[i+1][j+1]+=(n[i+1]=='0'?0:limit[i][j]); } printf("%d\n",dp[len-1][k]); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); string s; int K; cin >> s >> K; int n = s.size(); int dp[n+1][2][K+5]; memset(dp, 0, sizeof(dp)); dp[0][0][0] = 1; for (int i = 0; i < n; ++i) for (int j = 0; j < 2; ++j) for (int k = 0; k < K+1; ++k) { int lim = j ? 9 : s[i]-'0'; for (int d = 0; d < lim+1; ++d) { dp[i+1][j || d < lim][k + (d != 0)] += dp[i][j][k]; } } cout << dp[n][0][K] + dp[n][1][K] << '\n'; return 0; }
#include<iostream> using namespace std; string n;int A,k; int g(int a,int b){A=6;while(b--)A*=(a-b)*9,A/=b+1;return A/6;} int f(int i,int a){int A=n.size()-i;return A<a?0:a?n[i]=='0'?f(i+1,a):f(i+1,a-1)+(n[i]-'1')*g(A-1,a-1)+g(A-1,a):1;} int main(){cin>>n>>k;cout<<f(0,k);}
#include<bits/stdc++.h> using namespace std; using ll = long long; int main(){ string N;int K;ll dp0[1010][5],dp1[1010][5]; cin >> N >> K; dp0[1][0] = 1; dp0[1][1] = (N[0]-'0') - 1; dp0[1][2] = 0; dp0[1][3] = 0; dp1[1][0] = 0; dp1[1][1] = 1; dp1[1][2] = 0; dp1[1][3] = 0; for(int i = 2; i <= N.size();i++){ dp0[i][0] = dp0[i-1][0]; for(int j = 1; j <= K; j++){ dp0[i][j] = dp0[i-1][j-1] * 9 + dp0[i-1][j] + dp1[i-1][j-1]*max(N[i-1]-'0'-1,0)+dp1[i-1][j]*((N[i-1]-'0'>0)); dp1[i][j] = dp1[i-1][j-1]*min(N[i-1]-'0',1)+dp1[i-1][j]*(((N[i-1]-'0')==0)?(1):(0)); } } cout << (dp0[N.size()][K]+dp1[N.size()][K]); return 0; }
#include<bits/stdc++.h> #define int long long using namespace std; int dp[110][5],dp2[110][5]; signed main(){ string N; int K; cin>>N>>K; dp2[0][0]=1; for(int i=0;i<N.size();i++){ for(int j=0;j<=K;j++){ dp[i+1][j]=dp[i][j]+(N[i]!='0'?dp2[i][j]:0); dp2[i+1][j]=(N[i]=='0'?dp2[i][j]:0); } for(int j=0;j<K;j++){ dp[i+1][j+1]+=dp[i][j]*9+dp2[i][j]*max(N[i]-'1',0); dp2[i+1][j+1]+=(N[i]!='0'?dp2[i][j]:0); } } cout<<dp[N.size()][K]+dp2[N.size()][K]<<endl; }
#include <iostream> #include <vector> #include <algorithm> #include <iomanip> #include <map> using namespace std; string n; int k; long dp[110][2][9]; int main() { cin >> n >> k; dp[0][1][0] = 1; for (int i = 0; i < (int)n.size(); ++i) { for (int j = 0; j < 2; ++j) { int x = (j ? n[i] - '0' : 9); for (int a = 0; a <= x; ++a) { for (int b = 0; b <= k; ++b) { if (a != 0) dp[i + 1][j && (a == x)][b + 1] += dp[i][j][b]; else dp[i + 1][j && (a == x)][b] += dp[i][j][b]; } } } } cout << dp[(int)n.size()][0][k] + dp[(int)n.size()][1][k]; return 0; }
#include <bits/stdc++.h> using namespace std; string N;int K,n; int nCr(int n,int r){ if(r==1)return n; if(r==2)return n*(n-1)/2; if(r==3)return n*(n-1)*(n-2)/6; return 0; } int dp(int i,int k,bool s){ if(k==0)return 1; else if(i==n)return 0; if(s)return nCr(n-i,k)*pow(9,k); else { if(N[i]=='0')return dp(i+1,k,0); else return dp(i+1,k,1)+dp(i+1,k-1,1)*(N[i]-'1')+dp(i+1,k-1,0); } } int main(){ cin>>N>>K; n=N.size(); cout<<dp(0,K,0)<<endl; }
#include <bits/stdc++.h> #define rep(i,n) for (int i = 0; i < (n); i++) using namespace std; typedef long long ll; const int inf = 1001001001; int dp[105][4][2]; int main(){ string s; cin >> s; int n = s.size(); int K; cin >> K; dp[0][0][0] = 1; rep(i,n)rep(j,4)rep(k,2){ int nd = s[i] - '0'; rep(d,10){ int ni = i+1, nj = j, nk = k; if (d != 0) nj++; if (nj > K) continue; if (k == 0){ if(d > nd) continue; if(d < nd) nk = 1; } dp[ni][nj][nk] += dp[i][j][k]; } } int ans = dp[n][K][0]+dp[n][K][1]; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long A[200][2][4] = {}; int main() { string N; cin >> N; int K; cin >> K; A[0][0][0] = 1; for(int i=0; i<N.size(); ++i) { for(int j=0; j<2; ++j) { for(int k=0; k<4; ++k) { int n = (int)(N[i] - '0'); A[i + 1][j | (n > 0)][k] += A[i][j][k]; if(k == 3) continue; for(int c=1; c<=(j?9:n); ++c) { A[i + 1][j | (n > c)][k + 1] += A[i][j][k]; } } } } cout << A[N.size()][0][K] + A[N.size()][1][K] << endl; }
#include <bits/stdc++.h> #define ll long long #define MAX 205 using namespace std; string s; int n, k, a[MAX]; ll f[MAX][MAX]; ll dp(int x, int lim, int cnt){ if(x > n) return cnt == k; if(f[x][cnt] != -1 && !lim) return f[x][cnt]; ll res = 0; int h = lim?a[x]:9; for(int i = 0; i <= h; i++){ res += dp(x+1, lim&&(i==h), cnt+(i>0)); } if(!lim) f[x][cnt] = res; return res; } int main() { memset(f, -1, sizeof(f)); string s; cin >> s >> k; n = s.length(); for(int i = 0; i < s.length(); i++){ a[i+1] = s[i]-'0'; } ll ans = dp(1, 1, 0); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const int N = 200005; string n; int k; ll dp[111][4][2]; ll f(int i, int j, int less) { if(j > k) return 0; if(i == (int)n.size()) return j == k; ll &ans = dp[i][j][less]; if(~ans) return ans; ans = 0; if(less) { return ans = f(i + 1, j, less) + f(i + 1, j + 1, less) * 9; } else { int dig = int(n[i] - '0'); for(int d = 0; d <= dig; d++) { ans += f(i + 1, j + !!d, d < dig); } } return ans; } int main() { memset(dp, -1, sizeof dp); cin >> n >> k; cout << f(0, 0, 0) << endl; }
#include <cstring> #include <iostream> #include <string> using namespace std; using ll = long long; ll dp[110][2][110]; int main() { string N; int K; cin >> N >> K; memset(dp, 0, sizeof(dp)); dp[0][1][0] = 1; for(int n = 0; n < N.size(); ++n) { for(int limited : {0, 1}) { int limit = (limited ? N[n] - '0' : 9); for(int i = 0; i <= limit; ++i) { for(int k = 0; k <= N.size(); ++k) { int add = i != 0 ? 1 : 0; dp[n + 1][limited && (i == limit)][k + add] += dp[n][limited][k]; } } } } ll result = dp[N.size()][0][K] + dp[N.size()][1][K]; cout << result << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string n;int A,k; int g(int a,int b){A=6;while(b--)A*=(a-b)*9,A/=b+1;return A/6;} int f(int i,int a){int A=n.size()-i;return (A<a?0:!a?1:n[i]=='0'?f(i+1,a):f(i+1,a-1)+(n[i]-'1')*g(A-1,a-1)+g(A-1,a));} int main(){cin>>n>>k;cout<<f(0,k);}
#include<bits/stdc++.h> using namespace std; typedef long long ll; typedef double dd; const int N = 2e5+5; const double eps = 1e-8; string s; int k; int dp[105][5][2]; int main(){ // freopen("input.txt","r",stdin); cin>>s>>k; dp[0][0][0] = 1; for(int i = 0;i < s.size();i++){ for(int j = 0;j <= k;j++){ int nd = s[i] - '0'; for(int m = 0;m < 2;m++){ for(int n = 0;n < 10;n++){ int nj = j,nk = m; if(n != 0) nj++; if(nj > k) continue; if(m == 0){ if(n > nd) continue; if(n < nd) nk = 1; } dp[i+1][nj][nk] += dp[i][j][m]; } } } } cout<<dp[s.size()][k][0]+dp[s.size()][k][1]<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; string a; int k,n; long long dp[102][2][100000]; long long solve(int pos,int tight,int cnt){ if(cnt>k) return 0; if(n==pos) return (cnt==k)?1:0; if(dp[pos][tight][cnt]!=-1) return dp[pos][tight][cnt]; long long ret=0; for(int i=0;i<10;i++){ if(tight&&i>a[pos]-'0') break; int nxt_cnt=cnt+(i>0); int nxt_tight=tight&&i==(a[pos]-'0'); ret+=solve(pos+1,nxt_tight,nxt_cnt); } return dp[pos][tight][cnt]=ret; } int main() { cin>>a>>k; n=a.size(); memset(dp,-1,sizeof(dp)); cout<<solve(0,1,0); }
#include<bits/stdc++.h> using namespace std; char s[200]; int f[200][4],b[4]={1,9,81,729}; int c(int n,int m){ if(m>n)return 0; int ans=1; for(int i=1;i<=m;i++)ans*=n-i+1; for(int i=1;i<=m;i++)ans/=i; return ans; } int main(){ int k;scanf("%s%d",s,&k); int l=strlen(s); f[l][0]=1; for(int i=l-1;~i;i--){ int x=s[i]-'0'; f[i][0]=1; for(int j=1;j<=k;j++){ if(x==0)f[i][j]=f[i+1][j]; else f[i][j]=f[i+1][j-1]+(x-1)*c(l-i-1,j-1)*b[j-1]+c(l-i-1,j)*b[j]; } } printf("%d",f[0][k]); return 0; }
#include "bits/stdc++.h" using namespace std; #define fst first #define scd second long long dp[101][5][2]; int main() { string n; int k; cin >> n >> k; dp[0][0][1] = 1; for(int i = 0; i < n.size(); ++i) { for(int j = 0; j <= k; ++j) { for(int l = 0; l < 2; ++l) { for(int m = (l ? n[i] - '0' : 9); m > 0; --m) { dp[i + 1][j + 1][l & (m == n[i] - '0')] += dp[i][j][l]; } dp[i + 1][j][l & (0 == n[i] - '0')] += dp[i][j][l]; } } } cout << dp[n.size()][k][0] + dp[n.size()][k][1] << "\n"; }
#include <bits/stdc++.h> using namespace std; #define int long long int dp[110][2][4]; int seen[110][2][4]; string digit; int k; int solve(int id, int can, int cnt) { if(cnt > k) return 0; if(id == digit.size()) return cnt == k; if(seen[id][can][cnt]) return dp[id][can][cnt]; int num = digit[id] - '0'; int ans = 0; for(int i = 0; i < 10; i++) if(can or i <= num) ans += solve(id + 1, can or i < num, cnt + (i > 0)); seen[id][can][cnt] = true; return dp[id][can][cnt] = ans; } int32_t main() { cin >> digit >> k; cout << solve(0, 0, 0) << '\n'; return 0; }
// E - Almost Everywhere Zero #include <bits/stdc++.h> using namespace std; #define rp(i,s,e) for(int i=(s);i<(e);++i) string N; int K; int lt = 0, eq = 1;//lt: <, eq: = int dp[100+1][2][4+1];// digit DP, [|N|+1: 1 origin][lt|eq][k:0~3] int main(){ cin>>N>>K; int dn = N.size(); dp[0][eq][0] = 1; rp(i,0,dn){ int di = N[i] - '0'; rp(k,0,K+1){ dp[i+1][lt][k] = dp[i][lt][k] * 1 + dp[i][eq][k] * (di?1:0); if(k) dp[i+1][lt][k] += dp[i][lt][k-1] * 9 + dp[i][eq][k-1] * max(0,di-1); if(dp[i][eq][k]) dp[i+1][eq][k+(di>0)] = 1; } } cout<< dp[dn][lt][K] + dp[dn][eq][K] <<endl; }
#include <bits/stdc++.h> using namespace std; typedef long long int ll; #define rep(i,n) for(ll i=0;i<(ll)n;i++) ll dp[110][2][5]; int main(){ string s; cin >> s; int n = s.size(); ll K; cin >> K; dp[0][0][0]=1; rep(i,n){ int D = s[i]-'0'; rep(j,2){ rep(k,K+1){ for(int d=0;d<=(j ? 9:D);d++){ dp[i+1][j | (d<D)][k + (d>0)] += dp[i][j][k]; } } } } cout << dp[n][0][K]+dp[n][1][K] << endl; }
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i=0; i<n; i++) #define pb push_back #define int long long string N; int K; int dp[110][3][5]; signed main() { cin.tie(0); ios::sync_with_stdio(false); cin >> N >> K; int L = N.size(); dp[0][0][0] = 1; rep(i, L) { int D = N[i]-'0'; rep(j, 2) rep(k, K+1) { int max_d = j==0 ? D+1:10; rep(d, max_d) { int nk = k+(d!=0 ? 1:0); if (nk>K) continue; dp[i+1][j|(d<D)][nk] += dp[i][j][k]; } } } cout << dp[L][0][K]+dp[L][1][K] << endl; }
#include <iostream> #include <vector> #include <string> #include <memory.h> using namespace std; typedef long long ll; int main(){ string s; int K; cin >> s >> K; int N = s.size(); int dp[N + 1][2][K + 5]; memset(dp, 0, sizeof(dp)); dp[0][0][0] = 1; for (int i = 0; i < N;i++){ for (int j = 0; j < 2;j++){ for (int k = 0; k < K + 1;k++){ int t = j ? 9 : s[i] - '0'; for (int l = 0; l < t + 1;l++){ dp[i + 1][j || l < t][k + (l != 0)] += dp[i][j][k]; } } } } cout << dp[N][0][K] + dp[N][1][K] << endl; return 0; }
#include<bits/stdc++.h> using namespace std; string S; int K; int dp[2][100+1][5]; signed main() { //https://atcoder.jp/contests/abc154/tasks/abc154_e cin >> S >> K; int n = S.size(); dp[0][0][0] = 1; for(int i=0; i<n; i++) { int s = (int)(S[i] - '0'); for(int k=0; k<=K; k++) { for(int d=0; d<=9; d++) dp[1][i+1][k + (int)(d!=0)] += dp[1][i][k]; for(int d=0; d<s; d++) dp[1][i+1][k + (int)(d!=0)] += dp[0][i][k]; dp[0][i+1][k + (int)(s!=0)] += dp[0][i][k]; } } cout << dp[1][n][K] + dp[0][n][K] << endl; }
#include<bits/stdc++.h> using namespace std; typedef int64_t LL; LL com(LL m,LL j) { switch(j) { case 1:return m; case 2:return m*(m-1)/2; case 3:return m*(m-1)*(m-2)/6; default:return 0; } } string S; int N,K; LL f(int i,int k,int under) { if(k==0)return 1; if(i==N)return 0; if(under)return com(N-i,k)*pow(9,k); else { if(S.at(i)=='0')return f(i+1,k,false); else return f(i+1,k,true)+f(i+1,k-1,true)*(S.at(i)-'1')+f(i+1,k-1,false); } } int main() { cin>>S>>K; N=S.size(); cout<<f(0,K,false)<<endl; }
#include <bits/stdc++.h> using namespace std; string S; int K; int num[1001] = {0}; int keta; int f(int p,int k){ if(k < 0) return 0; if(k == 0) return 1; if(p <= 0) return 0; return f(p-1,k) + 9*f(p-1,k-1); } int solve(){ int sm = 0; int k = K; for(int i = keta-1; i > 0; i--){ if(num[i] != 0){ sm += f(i,k) + (num[i]-1)*f(i,k-1); k--; } // if(k < 0) k = 0; } if(k == 0){ sm += 1; } if(k == 1){ sm += num[0]; } return sm; } int main(){ cin >> S >> K; keta = S.size(); for(int i = 0; i < S.size(); i++){ num[S.size()-1-i] = S[i] - '0'; } cout << solve() << endl; return 0; }
#include <bits/stdc++.h> using namespace std; string s; int k, l; int count(int i, bool equal, int nzero) { if (nzero > k) return 0; if (nzero == k) return 1; if (i == l) return 0; int ans = 0; for (int d = 0; d < 10; ++d) { if (equal) { if (d > s[i] - '0') continue; if (d < s[i] - '0') ans += count(i + 1, false, nzero + (d > 0)); else ans += count(i + 1, true, nzero + (d > 0)); } else ans += count(i + 1, false, nzero + (d > 0)); } return ans; } int main() { cin >> s >> k; l = s.length(); cout << count(0, 1, 0) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { string S; int K; cin >> S >> K; int N = S.size(); vector<vector<vector<int>>> dp( N + 1, vector<vector<int>>( 2, vector<int>( K + 2 ) ) ); dp[0][0][0] = 1; for( int i = 0; i < N; i++ ) { for( int j = 0; j < 2; j++ ) { int lim = S[i] - '0'; if( j ) lim = 9; for( int k = 0; k <= K; k++ ) { for( int x = 0; x <= lim; x++ ) { int kk = 0; if( x ) kk = 1; dp[i + 1][j || x < lim][k + kk] += dp[i][j][k]; } } } } int ans = dp[N][0][K] + dp[N][1][K]; cout << ans << endl; }
// E - Almost Everywhere Zero #include <bits/stdc++.h> using namespace std; #define rp(i,s,e) for(int i=(s);i<(e);++i) string N; int K; int lt = 0, eq = 1;//lt: <, eq: = int dp[101][2][4];// digit DP, [|N|+1: 1 origin][lt|eq][k:0~3] int main(){ cin>>N>>K; int dn = N.size(); dp[0][eq][0] = 1; rp(i,0,dn){ int di = N[i] - '0'; rp(k,0,K+1){ rp(dk,0,2){ int ltk = 0, eqk = 0; if(dk==0) ltk = 1, eqk = di?1:0; else if(k) ltk = 9, eqk = max(0,di-1); dp[i+1][lt][k] += dp[i][lt][k-dk] * ltk + dp[i][eq][k-dk] * eqk; } if(dp[i][eq][k] & k+(di>0)<4) dp[i+1][eq][k+(di>0)] = 1; } } cout<< dp[dn][lt][K] + dp[dn][eq][K] <<endl; }
// E - Almost Everywhere Zero #include <bits/stdc++.h> using namespace std; #define rp(i,s,e) for(int i=(s);i<(e);++i) string N; int K; int lt = 0, eq = 1;//lt: <, eq: = int dp[100+1][2][4+1];// digit DP, [|N|+1: 1 origin][lt|eq][k:0~3] int main(){ cin>>N>>K; int dn = N.size(); dp[0][eq][0] = 1; rp(i,0,dn){ int di = N[i] - '0'; rp(k,0,4){ dp[i+1][lt][k] = dp[i][lt][k] * 1 + dp[i][eq][k] * (di?1:0); if(k) dp[i+1][lt][k] += dp[i][lt][k-1] * 9 + dp[i][eq][k-1] * max(0,di-1); if(dp[i][eq][k]) dp[i+1][eq][k+(di>0)] = 1; } } cout<< dp[dn][lt][K] + dp[dn][eq][K] <<endl; }
#include<iostream> #include<algorithm> #include<vector> using namespace std; using ll = long long; #define FOR(i,a,n) for(int i=a;i<n;++i) #define eFOR(i,a,n) for(int i=a;i<=n;++i) #define rFOR(i,a,n) for(int i=n-1;a<=i;--i) #define erFOR(i,a,n) for(int i=n;a<=i;--i) ll dp[102][2][5]; int main() { string t; cin >> t; int n = t.length(); vector<int> s(n); FOR(i, 0, n)s[i] = t[i] - '0'; int k; cin >> k; dp[0][0][0] = 1; FOR(i, 0, n)FOR(small, 0, 2)eFOR(j, 0, k)eFOR(x, 0, (small ? 9 : min(9, s[i]))) { dp[i + 1][small | (x < s[i])][j + (x != 0)] += dp[i][small][j]; } cout << dp[n][0][k] + dp[n][1][k] << endl; }
#include <bits/stdc++.h> using namespace std; #define int long long #define endl '\n' string s; int k; int dp[105][2][5]; int rec(int id, int tight, int left) { if (left < 0) return 0; if (id == (int)s.size()) return left == 0; int &ans = dp[id][tight][left]; if (ans != -1) return ans; ans = 0; int lim = tight ? s[id] - '0' : 9; for (int i = 0; i <= lim; i++) ans += rec(id + 1, (i < s[id] - '0') ? 0 : tight, left - (i > 0)); return ans; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cin >> s >> k; memset(dp, -1, sizeof dp); cout << rec(0, 1, k); }
#include <iostream> #include <algorithm> #include <string> using namespace std; typedef long long ll; int main(void){ int k,i,j,dp[105][2][4]={}; string n; cin >> n >> k; dp[0][1][0]=1; for (i=0;i<n.size();i++){ dp[i+1][0][0]=1; for (j=1;j<=3;j++){ if (n[i]!='0') dp[i+1][0][j]+=dp[i][1][j]; dp[i+1][0][j]+=dp[i][0][j-1]*9+dp[i][0][j]; dp[i+1][0][j]+=dp[i][1][j-1]*max(0,n[i]-'0'-1); if (n[i]=='0') dp[i+1][1][j]=dp[i][1][j]; else dp[i+1][1][j]=dp[i][1][j-1]; } } cout << dp[n.size()][0][k]+dp[n.size()][1][k] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) string s; int k, ans, sz, t; int main(){ cin >> s >> k; sz = s.size(); for(; k; k--){ for(; s[t] == '0'; t++, sz--); if(sz < k) break; if(k == 3) ans += (sz - 1) * (sz - 2) * (sz - 3) / 6 * 9 * 9 * 9 + (s[t] - '1') * (sz - 1) * (sz - 2) / 2 * 9 * 9; else if(k == 2) ans += (sz - 1) * (sz - 2) / 2 * 9 * 9 + (s[t] - '1') * (sz - 1) * 9; else ans += (sz - 1) * 9 + (s[t] - '0'); t++; sz--; } printf("%d\n",ans); }
#include <bits/stdc++.h> using namespace std; int main() { string n; cin >> n; int k, l; cin >> k; l = n.size(); int dp[105][5][2] = {}; dp[0][0][0] = 1; int d; for(int i=0; i<l; i++){ d = n.at(i) - '0'; for(int j = 0; j <= k; j++){ for(int smaller = 0; smaller < 2; smaller++){ for(int x = 0; x <= (smaller ? 9 : d); x++){ dp[i+1][x ? j+1 : j][smaller || x < d] += dp[i][j][smaller]; } } } } cout << dp[l][k][0] + dp[l][k][1] << endl; }
#include <iostream> #include <cstdio> using namespace std; int k, n, s; string a; int C(int p, int q) { int i, re = 1; if (p < q || q < 0) return 0; for (i = p; i > p - q; i--) re *= i; for (i = q; i > 1; i--) re /= i; return re; } int pow(int p) { int re = 1; while (p > 0) re *= 9, p--; return re; } int main() { int i; cin >> a >> k; n = a.size(); for (i = 0; i < n && k >= 0; i++) { if (a[i] > '0') { s += C(n - i - 1, k) * pow(k) + (a[i] - '1') * C(n - i - 1, k - 1) * pow(k - 1); k--; } } if (k == 0) s++; cout << s << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int C(int n, int k) { double res = 1; for (int i = 1; i <= k; ++i) res = res * (n - k + i) / i; return (int)(res + 0.01); } int main() { string s; cin >> s; int n = s.length(), k; cin >> k; int ans = C(n, k) * pow(9, k), digits = 0; for(int i = 0; i < n && k - digits; i++) { int d = s[i] - '0'; ans -= (9 - d) * C(n - (i + 1), k - digits - 1) * pow(9, k - digits - 1); if(d != 0) digits++; } printf("%d", ans); }
#include<bits/stdc++.h> using namespace std; int dp[2][100][4], k; char s[101]; int main() { scanf(" %s", s + 1); int len = strlen(s + 1); scanf("%d", &k); dp[1][0][0] = 1; for (int i = 1, c; i <= len; i++) { c = s[i] - '0'; for (int j = 0; j <= k; j++) { dp[0][i][j] = dp[0][i - 1][j]; if (c) dp[0][i][j] += dp[1][i - 1][j]; if (j) dp[0][i][j] += dp[0][i - 1][j - 1] * 9 + dp[1][i - 1][j - 1] * max(0, c - 1); if (j || !c) dp[1][i][j] = dp[1][i - 1][j - (c > 0)]; } } printf("%d\n", dp[0][len][k] + dp[1][len][k]); return 0; }
#include<bits/stdc++.h> using namespace std; int main(){ string N;int K;cin>>N>>K; vector<vector<long>> DP(N.length(),vector<long>(4,0)); DP[0][0]=1; DP[0][1]=(int)N[0]-48; int c=1; for(int i=1;i<N.length();i++){ DP[i][0]=1; for(int j=1;j<=3;j++){ DP[i][j]=DP[i-1][j]+DP[i-1][j-1]*9-(c+1==j?9-((int)N[i]-48):0); } if((int)N[i]-48!=0)c++; } cout<<DP[N.length()-1][K]; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; string s; int n,dp[105][2][5],K; int main(){ cin>>s>>K;n=s.size();s="$"+s; for (int i=1;i<=n;i++) s[i]-='0'; dp[0][1][0]=1; for (int i=1;i<=n;i++){ for(int k=0;k<=K;k++){ if (s[i]==0) dp[i][1][k]+=dp[i-1][1][k],dp[i][0][k]+=dp[i-1][0][k]; else dp[i][0][k]+=dp[i-1][0][k]+dp[i-1][1][k]; for (int j=1;j<10;j++){ if (s[i]<j){ dp[i][0][k+1]+=dp[i-1][0][k]; } if (s[i]>j){ dp[i][0][k+1]+=dp[i-1][0][k]+dp[i-1][1][k]; } if (s[i]==j){ dp[i][1][k+1]+=dp[i-1][1][k]; dp[i][0][k+1]+=dp[i-1][0][k]; } } } } cout<<dp[n][1][K]+dp[n][0][K]; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; string s; int k; ll dp[101][2][5]; int main() { cin >> s; int n = (int)s.size(); cin >> k; for (int i = 0; i < 101; i++) for (int j = 0; j < 2; j++) for (int l = 0; l < 5; l++) dp[i][j][l] = 0; dp[0][0][0] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j < 2; j++) { for (int l = 0; l <= k; l++) { int lim = j == 1 ? 9 : (s[i] - '0'); for (int m = 0; m <= lim; m++) { dp[i + 1][j || (m < lim)][l + (m != 0)] += dp[i][j][l]; } } } } cout << dp[n][0][k] + dp[n][1][k] << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 100 + 10; char s[N]; int a[N]; int f[N][2][4]; int dfs(int pos,int up,int k){ if(k<0) return 0; if(pos==-1) return k==0; int &ans = f[pos][up][k]; if(ans!=-1) return ans; ans = 0; for(int i=0;i<=(up?a[pos]:9);i++){ ans += dfs(pos-1,up&&i==a[pos],k-(!!i)); } return ans; } int main(){ int k; cin>>s>>k; int len = strlen(s); for(int i=0;i<len;i++) a[i] = s[len-i-1]-'0'; // for(int i=0;i<len;i++) cout<<a[i]<<' '; cout<<endl; memset(f,-1,sizeof(f)); cout<<dfs(len-1,1,k)<<endl; }
#include <bits/stdc++.h> using namespace std; using ll = long long; string N; int n, k; ll f[105][2][10]; ll dq(int id, int tight, int cnt) { if (id == 0) return (cnt == k); if (cnt > k) return 0; if (f[id][tight][cnt] != -1) return f[id][tight][cnt]; ll res = 0; int k = tight ? (N[n - id] - '0') : 9; for (int i = 0; i <= k; ++i) { res += dq(id - 1, tight && (i == k), cnt + (i != 0)); } return (f[id][tight][cnt] = res); } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> N >> k; n = N.length(); memset(f, -1, sizeof(f)); cout << dq(n, 1, 0); return 0; }
#include<bits/stdc++.h> using namespace std; long long dp[120][2][4]; // [iまでの桁][未満フラグ][0ではない値何個あるか] int main(){ for(int i=0;i<120;i++){ for(int j=0;j<2;j++){ for(int k=0;k<4;k++){ dp[i][j][k]=0; } } } string n; cin>>n; int k; cin>>k; dp[0][0][0]=1; for(int i=0;i<n.length();i++){ int D=n[i]-'0'; for(int j=0;j<2;j++){ for(int k=0;k<4;k++){ for(int d=0; d<=((j==true)? 9:D); d++){ // d: 最下位の数字として可能なもの if(k+(d!=0)>3)continue; dp[i+1][j||(d<D)][k+(d!=0)]+=dp[i][j][k]; } } } } cout<<dp[n.length()][0][k]+dp[n.length()][1][k]<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; int main(){ string s; cin>>s; int K; cin>>K;int k=K; int N=s.size(); int64_t ans=0; for(int i=0;i<N;i++){ int64_t a=s.at(i)-'0'; if(a!=0){ int64_t b=1; for(int64_t j=1;j<=K;j++) b=(b*(N-i-j)*9)/j; if(K!=1){ int64_t c=1; for(int64_t j=1;j<=K-1;j++) c=(c*(N-i-j)*9)/j;b+=(a-1)*c; } if(K==1){b+=a-1;}ans+=b; K--; if(K==0)break; } }for(int i=0;i<N;i++) if(s.at(i)!='0')k--; if(k<=0)ans++; cout<<ans<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; #define MOD 1000000007 int main() { string N; int K; cin >> N >> K; long long dp[110][2][5] = {0}; dp[0][0][0] = 1; for(int i = 0;i < N.size();i++) { for(int j = 0;j < 2;j++) { for(int k = 0;k <= K;k++) { int n = N[i]-'0'; for(int d = 0;d < 10;d++) { if(d > n && j == 0) continue; int nk = k; if(d != 0) nk++; dp[i+1][j||d < n][nk] += dp[i][j][k]; } } } } cout << dp[N.size()][0][K]+dp[N.size()][1][K] << endl; }
#include<bits/stdc++.h> #define int long long using namespace std; constexpr int mod=1e9+7; signed main(){ int dp[102][2][4]={}; dp[0][0][0]=1; string n; int K; cin>>n>>K; for(int i=0;i<n.size();i++) for(int j=0;j<2;j++) for(int k=0;k<4;k++) for(int x=0;x<=(j?9:n[i]-'0');x++) if(k!=3||x==0) dp[i+1][j||x<n[i]-'0'][k+(x!=0)]+=dp[i][j][k]; cout<<dp[n.size()][0][K]+dp[n.size()][1][K]<<endl; }
#include<bits/stdc++.h> #define rep(i, n) for (int i=0; i<(n); i++) #define ll long long using namespace std; int main() { string S; cin>>S; int N=S.size(); int K; cin>>K; ll dp[101][2][5]; rep(i, 101) rep(j, 2) rep(k, 5) dp[i][j][k]=0; dp[0][0][0]=1; rep(i, N) { int D=S[i]-'0'; rep(smaller, 2) { rep(k, K+1) { for (int d=0; d<=(smaller ? 9 : D); d++) { if (d!=0) dp[i+1][smaller||(d<D)][k+1]+=dp[i][smaller][k]; else dp[i+1][smaller||(d<D)][k]+=dp[i][smaller][k]; } } } } cout<<dp[N][0][K]+dp[N][1][K]<<endl; }
#include <bits/stdc++.h> #define rep(i,n) for (int i=0; i<(n); ++i) using namespace std; typedef long long ll; typedef pair<int,int> P; int dp[105][2][4]; int main(){ string s; int x; cin>>s>>x; int n=s.size(); dp[0][0][0]=1; for(int i=0; i<n; ++i){ int D=s[i]-'0'; for(int j=0; j<2; ++j){ for(int k=0; k<=x; ++k){ for(int d=0; d<=(j?9:D); ++d){ if(k+(d!=0)>x)continue; dp[i+1][j||(d<D)][k+(d!=0)]+=dp[i][j][k]; } } } } cout<<dp[n][0][x]+dp[n][1][x]<<endl; }
#include <bits/stdc++.h> using namespace std; int main(){ string s; long long k; cin >> s >> k; long long ans=0, tmp=k; for(int i=0;i<s.length() && k>0;i++){ if(s[i]!='0'){ long long plus=1; for(int j=0;j<k;j++){ plus *= 9*(s.length()-i-1-j); } for(int j=0;j<k;j++){ plus /= j+1; } ans += plus; plus=1; for(int j=0;j<k-1;j++){ plus *= 9*(s.length()-i-1-j); } for(int j=0;j<k-1;j++){ plus /= j+1; } ans += (s[i]-'0'-1)*plus; k--; } } cout << ans+(k==0?1:0) << endl; }
#include <bits/stdc++.h> using namespace std; int num[105], k, n; string s; int f(int p, int k) { if (k < 0) return 0; if (k == 0) return 1; if (p <= 0) return 0; return f(p-1, k) + 9*f(p-1,k-1); } int solve() { int sum = 0; int kk = k; for (int i = n - 1; i; i--) { if (num[i] != 0) { sum += f(i, kk) + (num[i] - 1) * f(i, kk-1); kk--; } } if (kk == 0) sum++; if (kk == 1) sum += num[0]; return sum; } int main() { cin >> s >> k; n = s.size(); for (int i = 0; i < n; i++) num[n - 1 - i] = s[i] - '0'; cout << solve(); return 0; }
#include<bits/stdc++.h> using namespace std; int64_t a(string &n,int k,int p,bool f){ if(k==0) return 1; if(p+k>n.size()) return 0; if(f){ int64_t x=1; for(int i=0;i<k;i++) x*=(n.size()-p-i)*9; for(int i=k;i>0;i--) x/=i; return x; } int d=(int)(n.at(p)-'0'); return (d>0?a(n,k-1,p+1,0)+a(n,k-1,p+1,1)*(d-1)+a(n,k,p+1,1):a(n,k,p+1,0)); } int main(){ string n; int k; cin>>n>>k; cout<<a(n,k,0,0)<<endl; }
#include <bits/stdc++.h> using namespace std; int dp[105][4][2]; int main() { string n; cin >> n; int l=n.size(); int K; cin >> K; dp[0][0][0]=1; for (int i=0;i<l;i++){ for (int j=0;j<4;j++){ for (int k=0;k<2;k++){ int nd=n[i]-'0'; for (int d=0;d<10;d++){ int ni=i+1,nj=j,nk=k; if (d!=0)nj++; if (nj>K)continue; if (k==0){ if (d<nd)nk=1; if (d>nd)continue; } dp[ni][nj][nk]+=dp[i][j][k]; } }}} int ans = dp[l][K][0]+dp[l][K][1]; cout << ans <<endl; }
#include <bits/stdc++.h> using namespace std; const int M=110; char s[M]; int dp[M][5][3]; int main(int argc, char const *argv[]) { scanf("%s",s+1); int k;cin>>k; int len=strlen(s+1); dp[1][0][0]=1; dp[0][0][0]=1; for(int i=1;i<=len;i++){ for(int j=0;j<=3;j++){//j个非零数字 for(int p=0;p<2;p++){//p=0表示一定小于 int num=s[i]-'0'; for(int d=0;d<=9;d++){ int ni=i+1,nj=j,np=p; if(d!=0)nj++; if(nj>k)continue; if(np==0){ if(d>num)continue; if(d<num)np=1; } dp[ni][nj][np]+=dp[i][j][p]; } } } } cout<<dp[len+1][k][0]+dp[len+1][k][1]<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dp[102][4][2]; int main(){ string s; int kp; cin >> s >> kp; int n = s.size(); dp[0][0][0] = 1; for(int i=0; i<n; ++i) for(int j=0; j<4; ++j) for(int k=0; k<2; ++k){ int si = s[i] - '0'; for(int l=0; l<10; ++l){ int nk = k; if(k == 0){ if(l > si) continue; if(l < si) nk = 1; } if(l==0) dp[i+1][j][nk] += dp[i][j][k]; else if(j<kp) dp[i+1][j+1][nk] += dp[i][j][k]; } } int ans = dp[n][kp][0] + dp[n][kp][1]; cout << ans << endl; }
#include <bits/stdc++.h> #define MOD 1000000007LL using namespace std; typedef long long ll; typedef pair<int,int> P; string s; int k; int dp[501][5][2]; int main(void){ cin >> s; scanf("%d",&k); dp[0][0][0]=1; int n=s.size(); for(int i=0;i<n;i++){ for(int j=0;j<=k;j++){ for(int l=0;l<2;l++){ for(int a=0;a<=9;a++){ if(l==1){ dp[i+1][j+(a!=0?1:0)][l]+=dp[i][j][l]; }else if((s[i]-'0')>a){ dp[i+1][j+(a!=0?1:0)][1]+=dp[i][j][l]; }else if((s[i]-'0')==a){ dp[i+1][j+(a!=0?1:0)][0]+=dp[i][j][l]; } } } } } printf("%d\n",dp[n][k][0]+dp[n][k][1]); return 0; }
#include <iostream> #include <string> using namespace std; int main() { string s; cin>>s; int k; cin>>k; long long dp[111][2][5]={}; int len=s.size(); dp[0][0][0]=1; for(int i=0; i<len; ++i) { for(int x=0; x<=k; ++x) { dp[i+1][1][x+1]+=9*dp[i][1][x]; dp[i+1][1][x]+=dp[i][1][x]; dp[i+1][s[i]>'0'][x]+=dp[i][0][x]; if(s[i]>'0') { dp[i+1][1][x+1]+=(s[i]-'1')*dp[i][0][x]; dp[i+1][0][x+1]+=dp[i][0][x]; } } } cout << dp[len][0][k]+dp[len][1][k] << "\n"; }
#include <iostream> #include <vector> #include <string> using namespace std; string N; int K; int main() { cin >> N; cin >> K; int ans = 0; auto A = vector<int>(K+1,0); int B; A[0] = 1; A[1] = N[0] - '0' - 1; B = 1; for (unsigned i = 1; i < N.size(); i++) { auto Ad = vector<int>(K + 1, 0); int n = N[i] - '0'; Ad[0] = 1; for (int j = 1; j <= K; j++) { Ad[j] += A[j - 1] * 9; Ad[j] += A[j]; } if (n > 0) { if (B < K + 1) { Ad[B] += 1; } if (B < K) { Ad[B + 1] += n - 1; } B++; } A = Ad; } ans = A[K]; if (B == K) { ans++; } cout << ans << endl; return 0; }
#include<bits/stdc++.h> using namespace std; #define int long long string n; int k; int dp[105][105][2]; int count(int x,int nz,int t){ if(x==n.size()){ if(nz==k) return 1; return 0; } if(dp[x][nz][t]!=-1) return dp[x][nz][t]; int c=0,m=9; if(t){ m=n[x]-'0'; } for(int i=0;i<=m;i++){ if(i!=0){ c+=count(x+1,nz+1,(t&&(i==m)?1:0)); } else c+=count(x+1,nz,(t&&(i==m)?1:0)); } return dp[x][nz][t]=c; } signed main(){ cin>>n>>k; memset(dp,-1,sizeof(dp)); cout<<count(0,0,1); }
#include <bits/stdc++.h> using namespace std; long cas(string S, long k){ long i, s=S[0]-'0', l=S.size(), m=0; string T=""; if(l<k){ return 0; } for(i=1; i<l; i++){ if(S[i]!='0'){ T=S.substr(i); break; } } if(k==1){ return 9*(l-1)+s; } else{ if(k==3){ m=(s-1)*(l-1)*(l-2)*9*9/2+9*9*3*(l-1)*(l-2)*(l-3)/2; } else{ m=(s-1)*(l-1)*9+9*9*(l-1)*(l-2)/2; } return m+cas(T, k-1); } } int main(){ string N; long K; cin >> N >> K; cout << cas(N, K) << "\n"; }
#include<bits/stdc++.h> using namespace std; int main() { string n; int k,l,i; long a; cin>>n>>k; a=0; l=n.length(); if (k==1) a+=9*(l-1)+(n.at(0)-'0'); else if (k==2 && l>=2) { a+=81*(l-1)*(l-2)/2+(n.at(0)-'1')*9*(l-1); i=1; while (i<l && n.at(i)=='0') i++; if (i<l) a+=9*(l-i-1)+(n.at(i)-'0'); } else if (k==3 && l>=3) { a+=729*(l-1)*(l-2)*(l-3)/6+(n.at(0)-'1')*81*(l-1)*(l-2)/2; i=1; while (i<l-1 && n.at(i)=='0') i++; if (i<l-1) { a+=81*(l-i-1)*(l-i-2)/2+(n.at(i)-'1')*9*(l-i-1); i++; while (i<l && n.at(i)=='0') i++; if (i<l) a+=9*(l-i-1)+(n.at(i)-'0'); } } cout<<a<<endl; }