#include <bits/stdc++.h>
using namespace std;
int dp[1000100];
int n;
vector<int> vec[20];
int get_next(int x, int bt) {
auto it = upper_bound(vec[bt].begin(), vec[bt].end(), x);
if (it == vec[bt].end())
return -1;
return *it;
}
void solve() {
cin >> n;
dp[0] = 0;
for (int i = 1; i <= n; i++) {
vec[__builtin_popcount(i)].push_back(i);
}
for (int i = 1; i <= n; i++) {
dp[i] = 1e9;
for (int j = 1; j < 20; j++) {
if (i-j < 0)
break;
int x = dp[i-j];
int y = get_next(x, j);
if (y != -1 && y < dp[i]) {
dp[i] = y;
}
}
}
vector<int> ansvec;
while(n) {
ansvec.push_back(dp[n]);
n -= __builtin_popcount(dp[n]);
}
cout << ansvec.size() << "\n";
for (int x : ansvec)
cout << x << ' ';
cout << "\n";
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int t;
t = 1;
#ifdef Local
// freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
// cin >> t;
#endif
// cin >> t;
while(t--){
solve();
}
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 | #include <bits/stdc++.h> using namespace std; int dp[1000100]; int n; vector<int> vec[20]; int get_next(int x, int bt) { auto it = upper_bound(vec[bt].begin(), vec[bt].end(), x); if (it == vec[bt].end()) return -1; return *it; } void solve() { cin >> n; dp[0] = 0; for (int i = 1; i <= n; i++) { vec[__builtin_popcount(i)].push_back(i); } for (int i = 1; i <= n; i++) { dp[i] = 1e9; for (int j = 1; j < 20; j++) { if (i-j < 0) break; int x = dp[i-j]; int y = get_next(x, j); if (y != -1 && y < dp[i]) { dp[i] = y; } } } vector<int> ansvec; while(n) { ansvec.push_back(dp[n]); n -= __builtin_popcount(dp[n]); } cout << ansvec.size() << "\n"; for (int x : ansvec) cout << x << ' '; cout << "\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int t; t = 1; #ifdef Local // freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); // cin >> t; #endif // cin >> t; while(t--){ solve(); } return 0; } |
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