#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define all(...) begin(__VA_ARGS__) , end(__VA_ARGS__)
#define boost {ios_base::sync_with_stdio(false); cin.tie(); cout.tie();}
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef vector <int> vi;
typedef pair<int,int> PII;
typedef pair<ll,ll> PLL;
constexpr ll nax = 1e6+69, INF = 1e9+6969;
int n;
int dp[nax][2], st[30];
vi prep[30];
int N = 17;
int bigger(int x, int bits) {
while(prep[bits][st[bits]] <= x)
st[bits]++;
return prep[bits][st[bits]];
}
int main()
{
for(int i=1;i<(1 << N);i++) {
prep[__builtin_popcount(i)].pb(i);
}
// for(int i=0;i<N;i++) {
// prep[i].insert(INF);
// }
scanf("%d", &n);
dp[1][0] = -1;
dp[1][1] = 1;
for(int i=2;i<=n;i++) {
dp[i][1] = INF;
dp[i][0] = -1;
for(int j = i - 1; j >= max(1, i - N + 1); j--) {
int cur = bigger(dp[j][1], i - j);
if(cur < dp[i][1]) {
dp[i][1] = cur;
dp[i][0] = j;
}
}
}
vi ans;
while(n != -1) {
ans.pb(dp[n][1]);
n = dp[n][0];
}
printf("%d\n", (int)ans.size());
for(auto e: ans) {
printf("%d ", e);
}
puts("");
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 | #define pb push_back #define mp make_pair #define fi first #define se second #define all(...) begin(__VA_ARGS__) , end(__VA_ARGS__) #define boost {ios_base::sync_with_stdio(false); cin.tie(); cout.tie();} #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector <int> vi; typedef pair<int,int> PII; typedef pair<ll,ll> PLL; constexpr ll nax = 1e6+69, INF = 1e9+6969; int n; int dp[nax][2], st[30]; vi prep[30]; int N = 17; int bigger(int x, int bits) { while(prep[bits][st[bits]] <= x) st[bits]++; return prep[bits][st[bits]]; } int main() { for(int i=1;i<(1 << N);i++) { prep[__builtin_popcount(i)].pb(i); } // for(int i=0;i<N;i++) { // prep[i].insert(INF); // } scanf("%d", &n); dp[1][0] = -1; dp[1][1] = 1; for(int i=2;i<=n;i++) { dp[i][1] = INF; dp[i][0] = -1; for(int j = i - 1; j >= max(1, i - N + 1); j--) { int cur = bigger(dp[j][1], i - j); if(cur < dp[i][1]) { dp[i][1] = cur; dp[i][0] = j; } } } vi ans; while(n != -1) { ans.pb(dp[n][1]); n = dp[n][0]; } printf("%d\n", (int)ans.size()); for(auto e: ans) { printf("%d ", e); } puts(""); return 0; } |
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