Submission #707989

# Submission time Handle Problem Language Result Execution time Memory
707989 2023-03-10T16:54:07 Z abcvuitunggio Scales (IOI15_scales) C++17
100 / 100
271 ms 9372 KB
#include "scales.h"
#include <bits/stdc++.h>
#define BS bitset <720>
using namespace std;
struct question{
    int a[4];
    int type;
};
unordered_map <BS, int> mp[7];
BS p[120][3];
vector <vector <int>> v;
vector <question> vq;
int pw[7];
int ask(int i){
    int res=0;
    if (!vq[i].type)
        res=getLightest(vq[i].a[0],vq[i].a[1],vq[i].a[2]);
    if (vq[i].type==1)
        res=getMedian(vq[i].a[0],vq[i].a[1],vq[i].a[2]);
    if (vq[i].type==2)
        res=getHeaviest(vq[i].a[0],vq[i].a[1],vq[i].a[2]);
    if (vq[i].type==3)
        res=getNextLightest(vq[i].a[0],vq[i].a[1],vq[i].a[2],vq[i].a[3]);
    return (res==vq[i].a[0]?0:(res==vq[i].a[1]?1:2));
}
int f(BS b, int id){
    if (b.count()>pw[id])
        return -1;
    if (!id)
        return -2;
    if (b.count()<2)
        return -2;
    if (mp[id].count(b))
        return mp[id][b];
    for (int i=0;i<vq.size();i++){
        bool ch=true;
        for (int j=0;j<3;j++)
            if (f(b&p[i][j],id-1)==-1){
                ch=false;
                break;
            }
        if (ch)
            return mp[id][b]=i;
    }
    return mp[id][b]=-1;
}
bool isLightest(vector <int> a, int i, int j, int k){
    return (a[i]<min(a[j],a[k]));
}
bool isMedian(vector <int> a, int i, int j, int k){
    return (a[j]-a[i])*(a[j]-a[k])<0;
}
bool isHeaviest(vector <int> a, int i, int j, int k){
    return (a[i]>max(a[j],a[k]));
}
bool isNextLightest(vector <int> a, int i, int j, int k, int l){
    if (max(a[i],max(a[j],a[k]))<a[l])
        return isLightest(a,i,j,k);
    if (a[i]<a[l])
        return false;
    return (!((a[j]>a[l]&&a[j]<a[i])||(a[k]>a[l]&&a[k]<a[i])));
}
void init(int T){
    v.clear();
    vq.clear();
    pw[0]=1;
    for (int i=1;i<=6;i++)
        pw[i]=pw[i-1]*3;
    vector <int> ve;
    for (int i=1;i<=6;i++)
        ve.push_back(i);
    do{
        v.push_back(ve);
    }while (next_permutation(ve.begin(),ve.end()));
    int id=0;
    for (int i=1;i<=6;i++)
        for (int j=i+1;j<=6;j++)
            for (int k=j+1;k<=6;k++){
                for (int l=0;l<3;l++)
                    vq.push_back({i,j,k,0,l});
                for (int l=1;l<=6;l++)
                    if (l!=i&&l!=j&&l!=k)
                        vq.push_back({i,j,k,l,3});
            }
    for (int i=0;i<vq.size();i++)
        for (int j=0;j<v.size();j++){
            for (int k=0;k<3;k++){
                if (!vq[i].type&&isLightest(v[j],vq[i].a[k]-1,vq[i].a[(k+1)%3]-1,vq[i].a[(k+2)%3]-1))
                    p[i][k][j]=1;
                if (vq[i].type==1&&isMedian(v[j],vq[i].a[(k+1)%3]-1,vq[i].a[k]-1,vq[i].a[(k+2)%3]-1))
                    p[i][k][j]=1;
                if (vq[i].type==2&&isHeaviest(v[j],vq[i].a[k]-1,vq[i].a[(k+1)%3]-1,vq[i].a[(k+2)%3]-1))
                    p[i][k][j]=1;
                if (vq[i].type==3&&isNextLightest(v[j],vq[i].a[k]-1,vq[i].a[(k+1)%3]-1,vq[i].a[(k+2)%3]-1,vq[i].a[3]-1))
                    p[i][k][j]=1;
            }
        }
}
void orderCoins(){
    int W[] = {1, 2, 3, 4, 5, 6};
    BS b;
    for (int i=0;i<720;i++)
        b[i]=1;
    int tmp=f(b,6);
    for (int i=6;i>=1;i--){
        int x=mp[i][b];
        int y=ask(x);
        b&=p[x][y];
        if (b.count()==1)
            break;
    }
    int pos=0;
    for (int i=0;i<720;i++)
        if (b[i]){
            pos=i;
            break;
        }
    for (int i=0;i<6;i++)
        W[v[pos][i]-1]=i+1;
    answer(W);
}

Compilation message

scales.cpp: In function 'int f(std::bitset<720>, int)':
scales.cpp:27:18: warning: comparison of integer expressions of different signedness: 'std::size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   27 |     if (b.count()>pw[id])
      |         ~~~~~~~~~^~~~~~~
scales.cpp:35:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<question>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |     for (int i=0;i<vq.size();i++){
      |                  ~^~~~~~~~~~
scales.cpp: In function 'void init(int)':
scales.cpp:85:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<question>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |     for (int i=0;i<vq.size();i++)
      |                  ~^~~~~~~~~~
scales.cpp:86:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |         for (int j=0;j<v.size();j++){
      |                      ~^~~~~~~~~
scales.cpp:75:9: warning: unused variable 'id' [-Wunused-variable]
   75 |     int id=0;
      |         ^~
scales.cpp:63:15: warning: unused parameter 'T' [-Wunused-parameter]
   63 | void init(int T){
      |           ~~~~^
scales.cpp: In function 'void orderCoins()':
scales.cpp:104:9: warning: unused variable 'tmp' [-Wunused-variable]
  104 |     int tmp=f(b,6);
      |         ^~~
# Verdict Execution time Memory Grader output
1 Correct 231 ms 9128 KB Output is correct
2 Correct 257 ms 9288 KB Output is correct
3 Correct 244 ms 9224 KB Output is correct
4 Correct 240 ms 9128 KB Output is correct
5 Correct 230 ms 9220 KB Output is correct
6 Correct 227 ms 9180 KB Output is correct
7 Correct 229 ms 9204 KB Output is correct
8 Correct 229 ms 9156 KB Output is correct
9 Correct 255 ms 9300 KB Output is correct
10 Correct 246 ms 9148 KB Output is correct
11 Correct 235 ms 9244 KB Output is correct
12 Correct 247 ms 9196 KB Output is correct
13 Correct 236 ms 9192 KB Output is correct
14 Correct 237 ms 9160 KB Output is correct
15 Correct 237 ms 9180 KB Output is correct
16 Correct 234 ms 9188 KB Output is correct
17 Correct 251 ms 9192 KB Output is correct
18 Correct 226 ms 9216 KB Output is correct
19 Correct 265 ms 9224 KB Output is correct
20 Correct 236 ms 9216 KB Output is correct
21 Correct 238 ms 9220 KB Output is correct
22 Correct 240 ms 9192 KB Output is correct
23 Correct 234 ms 9160 KB Output is correct
24 Correct 244 ms 9248 KB Output is correct
25 Correct 247 ms 9140 KB Output is correct
26 Correct 251 ms 9248 KB Output is correct
27 Correct 239 ms 9252 KB Output is correct
28 Correct 233 ms 9152 KB Output is correct
29 Correct 234 ms 9204 KB Output is correct
30 Correct 224 ms 9244 KB Output is correct
31 Correct 232 ms 9184 KB Output is correct
32 Correct 242 ms 9372 KB Output is correct
33 Correct 230 ms 9220 KB Output is correct
34 Correct 232 ms 9208 KB Output is correct
35 Correct 231 ms 9220 KB Output is correct
36 Correct 259 ms 9140 KB Output is correct
37 Correct 244 ms 9164 KB Output is correct
38 Correct 271 ms 9220 KB Output is correct
39 Correct 268 ms 9172 KB Output is correct
40 Correct 245 ms 9212 KB Output is correct