题意:有m个人投票,每个人在心里对所有候选者排了一个序,比如“210”,则他最想投2号,如果2号已经出局他会投1号,最后投0号,否则弃权不投。选举时进行多轮投票,知道选出winner或者所有人均出局。每轮投票以后,得票最高者所得票数如果严格大于该轮投票人数的50%,则他成为winner,游戏结束;若不大于50%,则将得票最低的人淘汰,如果有多人得票相同且最低,则一起淘汰出局,然后进行下一轮投票。
解法:纯模拟。不过题意很不清晰,有两个地方我都弄了半天猜弄懂。。。就当学习官方题解的代码了。
tag:simulation
1 // BEGIN CUT HERE 2 /* 3 * Author: plum rain 4 * score : 5 */ 6 /* 7 8 */ 9 // END CUT HERE 10 #line 11 "InstantRunoffVoting.cpp" 11 #include <sstream> 12 #include <stdexcept> 13 #include <functional> 14 #include <iomanip> 15 #include <numeric> 16 #include <fstream> 17 #include <cctype> 18 #include <iostream> 19 #include <cstdio> 20 #include <vector> 21 #include <cstring> 22 #include <cmath> 23 #include <algorithm> 24 #include <cstdlib> 25 #include <set> 26 #include <queue> 27 #include <bitset> 28 #include <list> 29 #include <string> 30 #include <utility> 31 #include <map> 32 #include <ctime> 33 #include <stack> 34 35 using namespace std; 36 37 #define clr0(x) memset(x, 0, sizeof(x)) 38 #define clr1(x) memset(x, -1, sizeof(x)) 39 #define pb push_back 40 #define mp make_pair 41 #define sz(v) ((int)(v).size()) 42 #define all(t) t.begin(),t.end() 43 #define zero(x) (((x)>0?(x):-(x))<eps) 44 #define out(x) cout<<#x<<":"<<(x)<<endl 45 #define tst(a) cout<<a<<" " 46 #define tst1(a) cout<<#a<<endl 47 #define CINBEQUICKER std::ios::sync_with_stdio(false) 48 49 typedef vector<int> VI; 50 typedef vector<string> VS; 51 typedef vector<double> VD; 52 typedef pair<int, int> pii; 53 typedef long long int64; 54 55 const double eps = 1e-8; 56 const double PI = atan(1.0)*4; 57 const int inf = 2139062143 / 2; 58 59 bool vis[20]; 60 int idx[50], num[20]; 61 pii an[50]; 62 63 bool cmp(pii a, pii b) 64 { 65 return a.second < b.second; 66 } 67 68 class InstantRunoffVoting 69 { 70 public: 71 int winner(vector <string> v){ 72 clr0 (vis); clr0 (idx); 73 int n = sz(v), m = sz(v[0]); 74 int cnt = 0; 75 while (cnt < m){ 76 int tmp = n; 77 clr0 (num); 78 for (int i = 0; i < n; ++ i){ 79 while (idx[i] < m && vis[v[i][idx[i]] - '0']) ++ idx[i]; 80 if (idx[i] >= m){ 81 -- tmp; continue; 82 } 83 ++ num[v[i][idx[i]] - '0']; 84 } 85 int all = 0; 86 for (int i = 0; i < m; ++ i) 87 if(!vis[i]) an[all++] = mp(i, num[i]); 88 sort(an, an+all, cmp); 89 if (an[all-1].second * 2 > tmp) return an[all-1].first; 90 91 for (int i = 0; i < all; ++ i){ 92 if (an[i].second != an[0].second) break; 93 ++ cnt; vis[an[i].first] = 1; 94 } 95 } 96 return -1; 97 } 98 99 // BEGIN CUT HERE 100 public: 101 void run_test(int Case) { if ((Case == -1) || (Case == 0)) test_case_0(); if ((Case == -1) || (Case == 1)) test_case_1(); if ((Case == -1) || (Case == 2)) test_case_2(); if ((Case == -1) || (Case == 3)) test_case_3(); if ((Case == -1) || (Case == 4)) test_case_4(); if ((Case == -1) || (Case == 5)) test_case_5(); } 102 private: 103 template <typename T> string print_array(const vector<T> &V) { ostringstream os; os << "{ "; for (typename vector<T>::const_iterator iter = V.begin(); iter != V.end(); ++iter) os << '"' << *iter << "","; os << " }"; return os.str(); } 104 void verify_case(int Case, const int &Expected, const int &Received) { cerr << "Test Case #" << Case << "..."; if (Expected == Received) cerr << "PASSED" << endl; else { cerr << "FAILED" << endl; cerr << " Expected: "" << Expected << '"' << endl; cerr << " Received: "" << Received << '"' << endl; } } 105 void test_case_0() { string Arr0[] = {"01","10","01","01","10"}; vector <string> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0[0]))); int Arg1 = 0; verify_case(0, Arg1, winner(Arg0)); } 106 void test_case_1() { string Arr0[] = {"120","102","210","021","012"}; vector <string> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0[0]))); int Arg1 = 1; verify_case(1, Arg1, winner(Arg0)); } 107 void test_case_2() { string Arr0[] = {"10","01"}; vector <string> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0[0]))); int Arg1 = -1; verify_case(2, Arg1, winner(Arg0)); } 108 void test_case_3() { string Arr0[] = {"3120","3012","1032" 109 ,"3120","2031","2103" 110 ,"1230","1230"}; vector <string> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0[0]))); int Arg1 = -1; verify_case(3, Arg1, winner(Arg0)); } 111 void test_case_4() { string Arr0[] = {"24103","30412","32014","21043","30412" 112 ,"32401","14203","04123","30241","02413" 113 ,"13042","01432","01342","32401","24301" 114 ,"12430","41023","02413","42310","12043"}; vector <string> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0[0]))); int Arg1 = 1; verify_case(4, Arg1, winner(Arg0)); } 115 void test_case_5() { string Arr0[] = {"0649853172","2146875039","2671548309" 116 ,"5897216403","4719823056","7945213860" 117 ,"9021538647","9286145307","9176403528" 118 ,"3709486152"}; vector <string> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0[0]))); int Arg1 = 9; verify_case(5, Arg1, winner(Arg0)); } 119 120 // END CUT HERE 121 122 }; 123 124 // BEGIN CUT HERE 125 int main() 126 { 127 // freopen( "a.out" , "w" , stdout ); 128 InstantRunoffVoting ___test; 129 ___test.run_test(-1); 130 return 0; 131 } 132 // END CUT HERE