Submission #48986

# Submission time Handle Problem Language Result Execution time Memory
48986 2018-05-21T06:08:54 Z Namnamseo Scales (IOI15_scales) C++17
100 / 100
639 ms 1012 KB
#include "scales.h"
#include <algorithm>
#include <vector>
#include <functional>

using namespace std;

int lst[720][6];

void init(int T) {
    int cur[6];
    for(int i=0; i<6; ++i) cur[i]=i+1;
    int ind=0;
    do {
        for(int i=0; i<6; ++i) lst[ind][i]=cur[i];
        ++ind;
    } while(next_permutation(cur, cur+6));
}

inline int f1(int a,int b,int c){ return max(a, max(b, c)); }
inline int f2(int a,int b,int c){ return min(a, min(b, c)); }
inline int f3(int a,int b,int c){ return a+b+c-f1(a,b,c)-f2(a,b,c); }
inline int f4(int a,int b,int c,int d){
    int t;
    if((t=f1(a,b,c))<d) return f2(a,b,c);
    else {
        int u=f2(a,b,c);
        int v=a+b+c-t-u;
        if(v<d) return t;
        if(u<d) return v;
        return u;
    }
}

int maxdiff(vector<int>& av,vector<int>& bv,vector<int>& cv){
    int a=av.size(), b=bv.size(), c=cv.size();
    if(a>b) swap(a,b);
    if(b>c) swap(b,c);
    if(a>b) swap(a,b);
    return c;
}

struct func_obj{
    int type, a, b, c, d;
};

tuple<vector<int>,vector<int>,vector<int>> getAppliedStates(vector<int>& states,int type,int a,int b,int c,int d){
    vector<int> x,y,z;
    for(int s:states){
        int ret=0;
             if(type==1) ret=f1(lst[s][a],lst[s][b],lst[s][c]);
        else if(type==2) ret=f2(lst[s][a],lst[s][b],lst[s][c]);
        else if(type==3) ret=f3(lst[s][a],lst[s][b],lst[s][c]);
        else if(type==4) ret=f4(lst[s][a],lst[s][b],lst[s][c],lst[s][d]);
        if(ret == lst[s][a]) x.push_back(s);
        else if(ret == lst[s][b]) y.push_back(s);
        else z.push_back(s);
    }
    return tuple<vector<int>,vector<int>,vector<int>>(x,y,z);
}

vector<func_obj> getSuitableFunc(vector<int>& states){
    vector<func_obj> ret;
    int cur_diff = 2e9;
    for(int i=0; i<6; ++i){
        for(int j=0; j<6; ++j){
            if(i==j) continue;
            for(int k=0; k<6; ++k){
                if(k==i || k==j) continue;
                vector<int> a,b,c;
                for(int l=0; l<6; ++l){
                    if(i==l || j==l || k==l) continue;
                    tie(a,b,c) = getAppliedStates(states, 4, i, j, k, l);
                    if(maxdiff(a,b,c) <= cur_diff){
                        if(maxdiff(a,b,c) < cur_diff) ret.clear();
                        cur_diff = maxdiff(a,b,c);
                        ret.push_back({4, i, j, k, l});
                    }
                }
                
                tie(a,b,c) = getAppliedStates(states, 1, i, j, k, 0);
                if(maxdiff(a,b,c) <= cur_diff){
                    if(maxdiff(a,b,c) < cur_diff) ret.clear();
                    cur_diff = maxdiff(a,b,c);
                    ret.push_back({1, i, j, k, 0});
                }
                
                tie(a,b,c) = getAppliedStates(states, 2, i, j, k, 0);
                if(maxdiff(a,b,c) <= cur_diff){
                    if(maxdiff(a,b,c) < cur_diff) ret.clear();
                    cur_diff = maxdiff(a,b,c);
                    ret.push_back({2, i, j, k, 0});
                }
                
                tie(a,b,c) = getAppliedStates(states, 3, i, j, k, 0);
                if(maxdiff(a,b,c) <= cur_diff){
                    if(maxdiff(a,b,c) < cur_diff) ret.clear();
                    cur_diff = maxdiff(a,b,c);
                    ret.push_back({3, i, j, k, 0});
                }
            }
        }
    }
    return ret;
}

int pow3[] = {1, 3, 9, 27, 81, 243, 729};

func_obj lastfunc;

bool isValidState(vector<int>& states,int depth){
    if(states.size() <= 1) return true;
    if(depth>=6) return false;
    if(states.size() > pow3[6-depth]) return false;
    vector<int> a,b,c;
    auto t=getSuitableFunc(states);
    for(func_obj move : t){
        tie(a,b,c) = getAppliedStates(states, move.type, move.a, move.b, move.c, move.d);
        if(a.size()>pow3[5-depth] || b.size()>pow3[5-depth] || c.size()>pow3[5-depth]){
            return false;
        }
        if(isValidState(a, depth+1) &&
           isValidState(b, depth+1) &&
           isValidState(c, depth+1)){
            lastfunc = move;
            return true;
        }
    }
    return false;
}

void orderCoins() {
    vector<int> states, new_states;
    for(int i=0; i<720; ++i) states.push_back(i);
    int depth = 0;
    int first_state = -1;
    while(true){
        if(states.size()==1){
            int s=states[0];
            int ans[6];
            for(int i=0;i<6;++i){
                ans[lst[s][i]-1]=i+1;
            }
            answer(ans);
            break;
        }
        bool isPoss;
        func_obj f;
        if(depth>=2){
            isValidState(states, depth);
            f = lastfunc;
        } else if(depth==0) {
            f = {1,0,1,2,0};
        } else if(depth==1){
            f={3, 3, 4, 5, 0};
        }
        auto t=getAppliedStates(states, f.type, f.a, f.b, f.c, f.d);
        //scanf("%*c");
        int ret;
        if(f.type == 1) ret=getHeaviest(f.a+1, f.b+1, f.c+1);
        if(f.type == 2) ret=getLightest(f.a+1, f.b+1, f.c+1);
        if(f.type == 3) ret=getMedian(f.a+1, f.b+1, f.c+1);
        if(f.type == 4) ret=getNextLightest(f.a+1, f.b+1, f.c+1, f.d+1);
        
        if(ret == f.a+1){
            states=get<0>(t);
            if(depth==0) first_state = 0;
        } else if(ret==f.b+1){
            states=get<1>(t);
            if(depth==0) first_state = 1;
        } else if(ret==f.c+1){
            states=get<2>(t);
            if(depth==0) first_state = 2;
        }
        ++depth;
    }
}

Compilation message

In file included from grader.c:2:0:
graderlib.c: In function 'void answer(int*)':
graderlib.c:53:5: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
     if (_ghksjhdfkae19ga_ > 1) 
     ^~
graderlib.c:56:2: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
  for (i = 0; i < 6; i++) {
  ^~~
scales.cpp: In function 'void init(int)':
scales.cpp:10:15: warning: unused parameter 'T' [-Wunused-parameter]
 void init(int T) {
               ^
scales.cpp: In function 'int maxdiff(std::vector<int>&, std::vector<int>&, std::vector<int>&)':
scales.cpp:36:18: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
     int a=av.size(), b=bv.size(), c=cv.size();
           ~~~~~~~^~
scales.cpp:36:31: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
     int a=av.size(), b=bv.size(), c=cv.size();
                        ~~~~~~~^~
scales.cpp:36:44: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
     int a=av.size(), b=bv.size(), c=cv.size();
                                     ~~~~~~~^~
scales.cpp: In function 'bool isValidState(std::vector<int>&, int)':
scales.cpp:114:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if(states.size() > pow3[6-depth]) return false;
        ~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
scales.cpp:119:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(a.size()>pow3[5-depth] || b.size()>pow3[5-depth] || c.size()>pow3[5-depth]){
            ~~~~~~~~^~~~~~~~~~~~~~
scales.cpp:119:46: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(a.size()>pow3[5-depth] || b.size()>pow3[5-depth] || c.size()>pow3[5-depth]){
                                      ~~~~~~~~^~~~~~~~~~~~~~
scales.cpp:119:72: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(a.size()>pow3[5-depth] || b.size()>pow3[5-depth] || c.size()>pow3[5-depth]){
                                                                ~~~~~~~~^~~~~~~~~~~~~~
scales.cpp: In function 'void orderCoins()':
scales.cpp:147:14: warning: unused variable 'isPoss' [-Wunused-variable]
         bool isPoss;
              ^~~~~~
scales.cpp:136:9: warning: variable 'first_state' set but not used [-Wunused-but-set-variable]
     int first_state = -1;
         ^~~~~~~~~~~
scales.cpp:171:16: warning: 'ret' may be used uninitialized in this function [-Wmaybe-uninitialized]
         } else if(ret==f.c+1){
                ^~
# Verdict Execution time Memory Grader output
1 Correct 394 ms 504 KB Output is correct
2 Correct 419 ms 504 KB Output is correct
3 Correct 471 ms 596 KB Output is correct
4 Correct 449 ms 608 KB Output is correct
5 Correct 427 ms 608 KB Output is correct
6 Correct 438 ms 616 KB Output is correct
7 Correct 472 ms 620 KB Output is correct
8 Correct 437 ms 648 KB Output is correct
9 Correct 475 ms 760 KB Output is correct
10 Correct 449 ms 760 KB Output is correct
11 Correct 514 ms 792 KB Output is correct
12 Correct 492 ms 792 KB Output is correct
13 Correct 639 ms 792 KB Output is correct
14 Correct 445 ms 792 KB Output is correct
15 Correct 432 ms 804 KB Output is correct
16 Correct 456 ms 812 KB Output is correct
17 Correct 456 ms 812 KB Output is correct
18 Correct 399 ms 812 KB Output is correct
19 Correct 442 ms 812 KB Output is correct
20 Correct 458 ms 812 KB Output is correct
21 Correct 496 ms 812 KB Output is correct
22 Correct 410 ms 812 KB Output is correct
23 Correct 430 ms 812 KB Output is correct
24 Correct 454 ms 812 KB Output is correct
25 Correct 488 ms 824 KB Output is correct
26 Correct 540 ms 824 KB Output is correct
27 Correct 452 ms 832 KB Output is correct
28 Correct 506 ms 832 KB Output is correct
29 Correct 550 ms 836 KB Output is correct
30 Correct 445 ms 968 KB Output is correct
31 Correct 446 ms 968 KB Output is correct
32 Correct 427 ms 968 KB Output is correct
33 Correct 423 ms 968 KB Output is correct
34 Correct 474 ms 968 KB Output is correct
35 Correct 444 ms 968 KB Output is correct
36 Correct 431 ms 1004 KB Output is correct
37 Correct 414 ms 1012 KB Output is correct
38 Correct 554 ms 1012 KB Output is correct
39 Correct 542 ms 1012 KB Output is correct
40 Correct 503 ms 1012 KB Output is correct