Overview
SHA1 Hash: | f94ac98860837390201e737894fb64e795a74de9 |
---|---|
Date: | 2016-12-29 13:33:57 |
User: | kinaba |
Comment: | 704. A tabun atteru. |
Timelines: | family | ancestors | descendants | both | trunk |
Downloads: | Tarball | ZIP archive |
Other Links: | files | file ages | manifest |
Tags And Properties
- branch=trunk inherited from [9165bd3629]
- sym-trunk inherited from [9165bd3629]
Changes
Added SRM/704-U/1A.cpp version [3950e09c2280ab10]
1 +#include <iostream> 2 +#include <sstream> 3 +#include <iomanip> 4 +#include <vector> 5 +#include <string> 6 +#include <map> 7 +#include <set> 8 +#include <algorithm> 9 +#include <numeric> 10 +#include <iterator> 11 +#include <functional> 12 +#include <complex> 13 +#include <queue> 14 +#include <stack> 15 +#include <cmath> 16 +#include <cassert> 17 +#include <tuple> 18 +using namespace std; 19 +typedef long long LL; 20 +typedef complex<double> CMP; 21 + 22 +class TreeDistanceConstruction { public: 23 + vector <int> construct(vector <int> d) 24 + { 25 + map<int, vector<int>> d2i; 26 + for (int i = 0; i < d.size(); ++i) 27 + d2i[d[i]].push_back(i); 28 + 29 + const int m = d2i.begin()->first; 30 + const int M = d2i.rbegin()->first; 31 + vector<int> ans; 32 + 33 + if (d2i[m].size() >= 3) 34 + return vector<int>(); 35 + 36 + int L = d2i[m].front(), R = d2i[m].back(); 37 + if (d2i[m].size() == 1) { 38 + if (2 * m != M) 39 + return vector<int>(); 40 + } 41 + else { // d2i[m].size() == 2 42 + if (2*m-1 != M) 43 + return vector<int>(); 44 + ans.push_back(L); 45 + ans.push_back(R); 46 + } 47 + 48 + for (int k = m + 1; k <= M; ++k) { 49 + if (d2i[k].size() < 2) 50 + return vector<int>(); 51 + for (int i = 0; i < d2i[k].size(); ++i) { 52 + ans.push_back(i == 0 ? L : R); 53 + ans.push_back(d2i[k][i]); 54 + } 55 + L = d2i[k].front(); 56 + R = d2i[k].back(); 57 + } 58 + return ans; 59 + } 60 +}; 61 + 62 +// BEGIN CUT HERE 63 +#include <ctime> 64 +double start_time; string timer() 65 + { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); } 66 +template<typename T> ostream& operator<<(ostream& os, const vector<T>& v) 67 + { os << "{ "; 68 + for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it) 69 + os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; } 70 +void verify_case(const vector <int>& Expected, const vector <int>& Received) { 71 + bool ok = (Expected == Received); 72 + if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; 73 + cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } } 74 +#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock(); 75 +#define END verify_case(_, TreeDistanceConstruction().construct(d));} 76 +int main(){ 77 + 78 +CASE(0) 79 + int d_[] = {3,2,2,3}; 80 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 81 + int __[] = {1, 2, 1, 0, 2, 3 }; 82 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 83 +END 84 +CASE(1) 85 + int d_[] = {1,2,2,2}; 86 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 87 + int __[] = {0, 1, 0, 2, 0, 3 }; 88 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 89 +END 90 +CASE(2) 91 + int d_[] = {1,1,1,1}; 92 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 93 + vector <int> _; 94 +END 95 +CASE(3) 96 + int d_[] = {1,1,1}; 97 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 98 + vector <int> _; 99 +END 100 +CASE(4) 101 + int d_[] = {1,1}; 102 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 103 + int __[] = {0, 1 }; 104 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 105 +END 106 +CASE(5) 107 +int d_[] = { 2,2,3,3,3 }; 108 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 109 + int __[] = { -1 }; 110 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 111 +END 112 +CASE(6) 113 + int d_[] = { 3,4,4,5,6,6 }; 114 + vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_)); 115 + int __[] = { -1 }; 116 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 117 +END 118 +} 119 +// END CUT HERE
Added SRM/704-U/1B-U.cpp version [3f49b98f321c4503]
1 +#include <iostream> 2 +#include <sstream> 3 +#include <iomanip> 4 +#include <vector> 5 +#include <string> 6 +#include <map> 7 +#include <set> 8 +#include <algorithm> 9 +#include <numeric> 10 +#include <iterator> 11 +#include <functional> 12 +#include <complex> 13 +#include <queue> 14 +#include <stack> 15 +#include <cmath> 16 +#include <cassert> 17 +#include <tuple> 18 +using namespace std; 19 +typedef long long LL; 20 +typedef complex<double> CMP; 21 + 22 +static const unsigned MODVAL = 1000000007; 23 +struct mint 24 +{ 25 + unsigned val; 26 + mint() :val(0) {} 27 + mint(int x) :val(x%MODVAL) {} 28 + mint(unsigned x) :val(x%MODVAL) {} 29 + mint(LL x) :val(x%MODVAL) {} 30 +}; 31 +mint& operator+=(mint& x, mint y) { return x = x.val + y.val; } 32 +mint& operator-=(mint& x, mint y) { return x = x.val - y.val + MODVAL; } 33 +mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; } 34 +mint operator+(mint x, mint y) { return x += y; } 35 +mint operator-(mint x, mint y) { return x -= y; } 36 +mint operator*(mint x, mint y) { return x *= y; } 37 + 38 +mint POW(mint x, LL e) { mint v = 1; for (; e; x *= x, e >>= 1) if (e & 1) v *= x; return v; } 39 +mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL - 2); } 40 +mint operator/(mint x, mint y) { return x /= y; } 41 + 42 +LL eulerPhi(LL n) { 43 + LL ans = n; 44 + for (LL x = 2; x*x <= n; ++x) { 45 + if (n % x == 0) { 46 + ans -= ans / x; 47 + while (n % x == 0) n /= x; 48 + } 49 + } 50 + if (n > 1) ans -= ans / n; 51 + return ans; 52 +} 53 + 54 +class ModEquation { public: 55 + vector <int> count(int n, int K, vector <int> query) 56 + { 57 + int epk = (int)eulerPhi(K); 58 + 59 + vector<pair<int, int>> dK; 60 + int v = K; 61 + for (int p = 2; p*p <= v; ++p) 62 + if (v%p == 0) { 63 + int cnt = 0; 64 + while (v%p == 0) cnt++, v /= p; 65 + dK.emplace_back(p, cnt); 66 + } 67 + if (v != 1) 68 + dK.emplace_back(v, 1); 69 + 70 + vector<int> ans; 71 + for (int q : query) 72 + ans.push_back(solve(n, K, epk, dK, q).val); 73 + return ans; 74 + } 75 + 76 + // # of solutions in mod K world s.t. x[0] x[1] ... x[n-1] = q 77 + // 78 + // * n <= 50 79 + // * K = BIG 80 + // * must be solved 1000 times in time limits. 81 + mint solve(int n, int K, int epk, const vector<pair<int,int>>& dK, int q) 82 + { 83 + if (n == 1) 84 + return 1; 85 + 86 + mint ans = POW(epk, n-1); 87 + 88 + for (auto pe : dK) { 89 + int p = pe.first; 90 + int e = pe.second; 91 + int qq = q; 92 + int cnt = 0; 93 + while (qq%p == 0 && cnt<e) 94 + cnt++, qq /= p; 95 + // p^cnt is in gcd(K,q) 96 + if (cnt < e) { 97 + ans *= POW(n, cnt); // div dups... 98 + } 99 + else { 100 + ans *= POW(n, cnt); // or more... 101 + } 102 + } 103 + 104 + return ans; 105 + } 106 +}; 107 + 108 +// BEGIN CUT HERE 109 +#include <ctime> 110 +double start_time; string timer() 111 + { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); } 112 +template<typename T> ostream& operator<<(ostream& os, const vector<T>& v) 113 + { os << "{ "; 114 + for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it) 115 + os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; } 116 +void verify_case(const vector <int>& Expected, const vector <int>& Received) { 117 + bool ok = (Expected == Received); 118 + if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; 119 + cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } } 120 +#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock(); 121 +#define END verify_case(_, ModEquation().count(n, K, query));} 122 +int main(){ 123 + 124 +CASE(0) 125 + int n = 2; 126 + int K = 2; 127 + int query_[] = {0,1}; 128 + vector <int> query(query_, query_+sizeof(query_)/sizeof(*query_)); 129 + int __[] = {3, 1 }; 130 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 131 +END 132 +CASE(1) 133 + int n = 2; 134 + int K = 4; 135 + int query_[] = {0,1,2,3}; 136 + vector <int> query(query_, query_+sizeof(query_)/sizeof(*query_)); 137 + int __[] = {8, 2, 4, 2 }; 138 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 139 +END 140 +CASE(2) 141 + int n = 6; 142 + int K = 6; 143 + int query_[] = {4}; 144 + vector <int> query(query_, query_+sizeof(query_)/sizeof(*query_)); 145 + int __[] = {2016 }; 146 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 147 +END 148 +CASE(3) 149 + int n = 1; 150 + int K = 2; 151 + int query_[] = {0,0,0,1,1,1}; 152 + vector <int> query(query_, query_+sizeof(query_)/sizeof(*query_)); 153 + int __[] = {1, 1, 1, 1, 1, 1 }; 154 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 155 +END 156 +/* 157 +CASE(4) 158 + int n = ; 159 + int K = ; 160 + int query_[] = ; 161 + vector <int> query(query_, query_+sizeof(query_)/sizeof(*query_)); 162 + int __[] = ; 163 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 164 +END 165 +CASE(5) 166 + int n = ; 167 + int K = ; 168 + int query_[] = ; 169 + vector <int> query(query_, query_+sizeof(query_)/sizeof(*query_)); 170 + int __[] = ; 171 + vector <int> _(__, __+sizeof(__)/sizeof(*__)); 172 +END 173 +*/ 174 +} 175 +// END CUT HERE