File size: 8,870 Bytes
1fd0050 | 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 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 | #include <cstdio>
#include <cstdlib>
#include <cstring>
#include <vector>
#include <algorithm>
using namespace std;
static char obuf[1<<22]; static int opos;
void oflush(){fwrite(obuf,1,opos,stdout);opos=0;fflush(stdout);}
void ochar(char c){obuf[opos++]=c;}
void oint(int x){
if(x>=1000){ochar('0'+x/1000);ochar('0'+(x/100)%10);ochar('0'+(x/10)%10);ochar('0'+x%10);}
else if(x>=100){ochar('0'+x/100);ochar('0'+(x/10)%10);ochar('0'+x%10);}
else if(x>=10){ochar('0'+x/10);ochar('0'+x%10);}
else ochar('0'+x);
}
int N,q[1001],perm[1001];
int kc;
int ask(){ochar('0');for(int i=0;i<N;i++){ochar(' ');oint(q[i]);}ochar('\n');oflush();int x;scanf("%d",&x);return x;}
void submit(){ochar('1');for(int i=0;i<N;i++){ochar(' ');oint(perm[i]);}ochar('\n');oflush();exit(0);}
int par[1001];
int Find(int x){return par[x]==x?x:par[x]=Find(par[x]);}
void Unite(int a,int b){par[Find(a)]=Find(b);}
void solve(vector<int>& vals, vector<int>& pos) {
int n = vals.size();
if (n == 0) return;
if (n == 1) {
perm[pos[0]] = vals[0]; q[pos[0]] = vals[0]; kc++;
return;
}
if (n == 2) {
q[pos[0]] = vals[0];
int r = ask();
q[pos[0]] = 1;
if (r == kc + 1) {
perm[pos[0]] = vals[0]; q[pos[0]] = vals[0];
perm[pos[1]] = vals[1]; q[pos[1]] = vals[1];
} else {
perm[pos[0]] = vals[1]; q[pos[0]] = vals[1];
perm[pos[1]] = vals[0]; q[pos[1]] = vals[0];
}
kc += 2;
return;
}
// n=3 handled by general D&C below (2 queries: 1 split + 1 for n=2)
int half = n / 2;
int right_half = n - half;
for (int i = 0; i < n; i++) par[i] = i;
vector<int> half_known(n, -1);
int left_count = 0, right_count = 0;
// Helper: assign a group (by representative) to a half
auto assign_group = [&](int rep, int h) {
for (int i = 0; i < n; i++) {
if (Find(i) == Find(rep)) {
half_known[i] = h;
if (h == 0) left_count++;
else right_count++;
}
}
};
// Helper: check if remaining undetermined values can be inferred
auto check_early_termination = [&]() -> bool {
if (left_count == half) {
// All remaining go right
for (int i = 0; i < n; i++) {
if (half_known[i] == -1) { half_known[i] = 1; right_count++; }
}
return true;
}
if (right_count == right_half) {
for (int i = 0; i < n; i++) {
if (half_known[i] == -1) { half_known[i] = 0; left_count++; }
}
return true;
}
return false;
};
vector<int> same_half_reps;
// Phase 1: pair values
for (int vi = 0; vi + 1 < n; vi += 2) {
if (check_early_termination()) break;
int v = vals[vi], w = vals[vi + 1];
for (int i = 0; i < half; i++) q[pos[i]] = v;
for (int i = half; i < n; i++) q[pos[i]] = w;
int r = ask();
for (int i = 0; i < half; i++) q[pos[i]] = 1;
for (int i = half; i < n; i++) q[pos[i]] = 1;
if (r == kc + 2) {
half_known[vi] = 0; half_known[vi + 1] = 1;
left_count++; right_count++;
} else if (r == kc) {
half_known[vi] = 1; half_known[vi + 1] = 0;
left_count++; right_count++;
} else {
Unite(vi, vi + 1);
same_half_reps.push_back(Find(vi));
}
}
// Handle odd value
if (n % 2 == 1 && half_known[n-1] == -1) {
if (check_early_termination()) goto done_disambiguation;
int vi = n - 1;
if (!same_half_reps.empty()) {
int rep = same_half_reps.back();
same_half_reps.pop_back();
int v = vals[vi];
int w = -1;
for (int i = 0; i < n; i++) {
if (Find(i) == Find(rep)) { w = vals[i]; break; }
}
for (int i = 0; i < half; i++) q[pos[i]] = v;
for (int i = half; i < n; i++) q[pos[i]] = w;
int r = ask();
for (int i = 0; i < half; i++) q[pos[i]] = 1;
for (int i = half; i < n; i++) q[pos[i]] = 1;
if (r == kc + 2) {
half_known[vi] = 0; left_count++;
assign_group(rep, 1);
} else if (r == kc) {
half_known[vi] = 1; right_count++;
assign_group(rep, 0);
} else {
Unite(vi, rep);
same_half_reps.push_back(Find(vi));
}
} else {
int v = vals[vi];
for (int i = 0; i < half; i++) q[pos[i]] = v;
int r = ask();
for (int i = 0; i < half; i++) q[pos[i]] = 1;
half_known[vi] = (r == kc + 1) ? 0 : 1;
if (half_known[vi] == 0) left_count++; else right_count++;
}
}
// Phase 2: Batch disambiguation
sort(same_half_reps.begin(), same_half_reps.end());
same_half_reps.erase(unique(same_half_reps.begin(), same_half_reps.end()), same_half_reps.end());
while (!same_half_reps.empty()) {
if (check_early_termination()) break;
vector<int> next_reps;
int si = 0;
while (si < (int)same_half_reps.size()) {
if (check_early_termination()) break;
if (si + 1 >= (int)same_half_reps.size()) {
int rep = same_half_reps[si];
int v = -1;
for (int i = 0; i < n; i++) {
if (Find(i) == Find(rep)) { v = vals[i]; break; }
}
for (int k = 0; k < half; k++) q[pos[k]] = v;
int r = ask();
for (int k = 0; k < half; k++) q[pos[k]] = 1;
int h = (r == kc + 1) ? 0 : 1;
assign_group(rep, h);
si++;
continue;
}
int rep1 = same_half_reps[si], rep2 = same_half_reps[si + 1];
int v = -1, w = -1;
for (int i = 0; i < n; i++) {
if (Find(i) == Find(rep1) && v == -1) v = vals[i];
if (Find(i) == Find(rep2) && w == -1) w = vals[i];
if (v != -1 && w != -1) break;
}
for (int k = 0; k < half; k++) q[pos[k]] = v;
for (int k = half; k < n; k++) q[pos[k]] = w;
int r = ask();
for (int k = 0; k < half; k++) q[pos[k]] = 1;
for (int k = half; k < n; k++) q[pos[k]] = 1;
if (r == kc + 2) {
assign_group(rep1, 0);
assign_group(rep2, 1);
} else if (r == kc) {
assign_group(rep1, 1);
assign_group(rep2, 0);
} else {
Unite(rep1, rep2);
next_reps.push_back(Find(rep1));
}
si += 2;
}
sort(next_reps.begin(), next_reps.end());
next_reps.erase(unique(next_reps.begin(), next_reps.end()), next_reps.end());
same_half_reps = next_reps;
}
done_disambiguation:
vector<int> left_vals, right_vals;
vector<int> left_pos(pos.begin(), pos.begin() + half);
vector<int> right_pos(pos.begin() + half, pos.end());
for (int i = 0; i < n; i++) {
if (half_known[i] == 0) left_vals.push_back(vals[i]);
else right_vals.push_back(vals[i]);
}
solve(left_vals, left_pos);
solve(right_vals, right_pos);
}
int main(){
scanf("%d",&N);
memset(perm,0,sizeof(perm));
if(N==1){perm[0]=1;submit();}
if(N==2){q[0]=1;q[1]=2;if(ask()==2){perm[0]=1;perm[1]=2;}else{perm[0]=2;perm[1]=1;}submit();}
// Phase 1: Find pos1 and pos3
int B=0;{int tmp=N-1;while(tmp>0){B++;tmp>>=1;}}
int rb[12];
for(int b=0;b<B;b++){
for(int i=0;i<N;i++) q[i]=(i&(1<<b))?1:3;
rb[b]=ask();
}
int kb1=0,kb3=0,kmask=0;
for(int b=0;b<B;b++){
if(rb[b]==0){kmask|=(1<<b);kb3|=(1<<b);}
else if(rb[b]==2){kmask|=(1<<b);kb1|=(1<<b);}
}
int amask=((1<<B)-1)&~kmask,P=0;
for(int b=0;b<B;b++){
if(!(amask&(1<<b)))continue;
for(int i=0;i<N;i++){
q[i]=((i&(1<<b))&&(i&kmask)==kb1)?1:3;
}
int r=ask();
if(r==2) P|=(1<<b);
}
int p1=kb1|(P&amask);
int p3=kb3|(P&amask);
if(p1<0||p1>=N||p3<0||p3>=N||p1==p3){
p1=-1;p3=-1;
for(int i=0;i<N;i++){
if(p1>=0&&p3>=0)break;
for(int j=0;j<N;j++)q[j]=3;q[i]=1;
int r=ask();
if(r==2)p1=i;else if(r==0)p3=i;
}
}
perm[p1]=1;perm[p3]=3;
kc=2;
for(int i=0;i<N;i++) q[i]=1;
q[p1]=1;q[p3]=3;
vector<int> vals,pos;
vals.push_back(2);
for(int v=4;v<=N;v++) vals.push_back(v);
for(int i=0;i<N;i++) if(i!=p1&&i!=p3) pos.push_back(i);
solve(vals,pos);
submit();
}
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