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8.87 kB
| 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(); | |
| } | |