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123 lines
2.6 KiB
C++
123 lines
2.6 KiB
C++
// Bring's Surface generator
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// Copyright (C) 2018 Zeno Rogue, see 'hyper.cpp' for details
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#include <stdio.h>
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#include <vector>
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#include <array>
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#include <map>
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#include <algorithm>
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using namespace std;
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int isize(const auto x) { return x.size(); }
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int mul(int a, int b) {
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int p = 0;
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for(int i=0; i<3; i++) if((a>>i)&1)
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for(int j=0; j<3; j++) if((b>>j)&1)
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p ^= (1<<(i+j));
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for(int z=4; z>=0; z--)
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if(p&(8<<z)) p ^= (11<<z);
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return p;
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}
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int elements = 0;
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vector<array<int, 5>> s5_elements;
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map<array<int, 5>, int> back;
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int multable[504][504];
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int mpow(int a, int n) {
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int z = a;
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while(n > 1) z = multable[a][z], n--;
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return z;
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}
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int inset[504];
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int main() {
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array<int, 5> ar;
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for(int i=0; i<5; i++) ar[i] = i;
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do {
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back[ar] = isize(s5_elements);
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s5_elements.push_back(ar);
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}
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while(next_permutation(ar.begin(), ar.end()));
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for(int a=0; a<120; a++)
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for(int b=0; b<120; b++) {
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array<int, 5> res;
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for(int i=0; i<5; i++)
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res[i] = s5_elements[a] [ s5_elements[b][i] ];
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multable[a][b] = back[res];
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}
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int id;
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for(int a=0; a<120; a++)
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if(multable[a][a] == a) id = a;
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printf("id = %d\n", id);
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int xid = 0;
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int sols = 0;
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for(int R=0; R<120; R++)
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for(int P=0; P<120; P++) {
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if(P == 0 && mpow(R, 5) == id) printf("deg5 R\n");
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if(multable[P][P] != id) continue;
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if(mpow(multable[R][P], 4) != id) continue;
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if(mpow(R, 5) != id) continue;
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xid++;
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vector<int> allels = {id};
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inset[id] = xid;
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for(int i=0; i<isize(allels); i++) {
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for(int m: {P, R}) {
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int im = allels[i];
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int a = multable[im][m];
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// printf("%d x %d = %d\n", im, m, a);
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if(inset[a] != xid) inset[a] = xid, allels.push_back(a);
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}
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}
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if(isize(allels) != 120) continue;
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printf("R = %d P = %d count = %d\n", R, P, isize(allels));
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for(int a: s5_elements[R]) printf("%d ", a); printf("// ");
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for(int a: s5_elements[P]) printf("%d ", a); printf("\n");
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sols++;
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array<int, 120> cellid;
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array<int, 120> bycellid;
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for(int a=0; a<120; a++) cellid[a] = 0;
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int ncell = 0;
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for(int a=0; a<120; a++) if(cellid[a] == 0) {
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int b = a;
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for(int s=0; s<5; s++) cellid[b] = ncell + s, bycellid[ncell + s] = b, b = multable[b][R];
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ncell += 5;
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}
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printf("ncell = %d\n", ncell);
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for(int a=0; a<24; a++) {
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printf("/* %03d */ ", a);
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for(int b=0; b<5; b++) {
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printf("%d, ", cellid[multable[bycellid[5*a+b]][P]]);
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}
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printf("\n");
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}
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return 0;
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}
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printf("solutions = %d\n", sols);
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return 0;
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}
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