博弈,滿不錯的題目
重點在於當一個玩家想要轉換成贏的狀態時,另外一個玩家還會把優勢轉回來
所以不要再考慮轉成贏的狀態,只需要貪心的拿目前能夠擁有的
分成 1 個 stone 的群組跟多個 stone 的群組
等 1 個 stone 的群組全部都拿完時,多個 stone 個數全部加起來 奇偶數就可以判定整群是誰的了
當然之前所說的 當你想要改變奇偶數,對方也可以改變回來
// BEGIN CUT HERE
// END CUT HERE
#line 5 "GCAcode.cpp"
#include <cstdlib>
#include <cctype>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <vector>
#include <string\>
#include <iostream>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <fstream>
#include <numeric>
#include <iomanip>
#include <bitset>
#include <list>
#include <stdexcept>
#include <functional>
#include <utility>
#include <ctime>
using namespace std;
#ifdef DEBUG
#define VAR(a,b) \_\_typeof(b) a=(b)
#define debug(...) printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)
#else
#define VAR(a,b) \_\_typeof(b) a=(b)
#define debug(...)
#endif
typedef unsigned int uint;
typedef long long int Int;
typedef unsigned long long int UInt;
#define Set(a,s) memset(a,s,sizeof(a))
#define Pln() printf("\\n")
#define For(i,x)for(int i=0;i<x;i++)
#define CON(x,y) x##y
#define M 55
#define PB push\_back
#define oo INT\_MAX
#define FOR(a,b) for(VAR(a,(b).begin());a!=(b).end();++a)
#define eps 1e-9
#define X first
#define Y second
inline bool xdy(double x,double y){return x>y+eps;}
inline bool xddy(double x,double y){return x>y-eps;}
inline bool xcy(double x,double y){return x<y-eps;}
inline bool xcdy(double x,double y){return x<y+eps;}
const Int mod=1000000007;
struct chest{
int s,v;
}chests\[M\];
bool cmp(chest a,chest b){
if(a.s==b.s)return a.v>b.v;
return a.s<b.s;
}
class StoneGame
{
public:
int getScore(vector <int\> treasure, vector <int\> stones){
int n=treasure.size();
for(int i=0;i<n;i++){
chests\[i\].s=stones\[i\];
chests\[i\].v=treasure\[i\];
}
sort(chests,chests+n,cmp);
int oneg=0;
int muls=0;
int mulg=0;
for(int i=0;i<n;i++){
if(chests\[i\].s==1)oneg++;
else{
muls+=chests\[i\].s;
mulg+=chests\[i\].v;
}
}
int ans=0;
for(int i=0;i<n;i+=2){
if(chests\[i\].s==1)ans+=chests\[i\].v;
else break;
}
if(oneg%2==0){
if(muls&1)ans+=mulg;
}else{
if(muls%2==0)ans+=mulg;
}
return ans;
}
// BEGIN CUT HERE
public:
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();
}
private:
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(); }
void verify\_case(int Case, const int &Expected, const int &Received) { cout << "測試案例 #" << Case << "..."; if (Expected == Received) cout << "通過" << endl; else { cout << "失敗" << endl; cout << "\\t預期: \\"" << Expected << '\\"' << endl; cout << "\\t實際: \\"" << Received << '\\"' << endl; } }
void test\_case\_0() {
int Arr0\[\] = {3,2};
vector <int\> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0\[0\])));
int Arr1\[\] = {1,2};
vector <int\> Arg1(Arr1, Arr1 + (sizeof(Arr1) / sizeof(Arr1\[0\])));
int Arg2 = 5;
verify\_case(0, Arg2, getScore(Arg0, Arg1)); }
void test\_case\_1() {
int Arr0\[\] = {5,4,3,2,1};
vector <int\> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0\[0\])));
int Arr1\[\] = {1,1,1,1,1};
vector <int\> Arg1(Arr1, Arr1 + (sizeof(Arr1) / sizeof(Arr1\[0\])));
int Arg2 = 9;
verify\_case(1, Arg2, getScore(Arg0, Arg1)); }
void test\_case\_2() {
int Arr0\[\] = {5,5};
vector <int\> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0\[0\])));
int Arr1\[\] = {2,2};
vector <int\> Arg1(Arr1, Arr1 + (sizeof(Arr1) / sizeof(Arr1\[0\])));
int Arg2 = 0;
verify\_case(2, Arg2, getScore(Arg0, Arg1)); }
void test\_case\_3() {
int Arr0\[\] = {1};
vector <int\> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0\[0\])));
int Arr1\[\] = {10};
vector <int\> Arg1(Arr1, Arr1 + (sizeof(Arr1) / sizeof(Arr1\[0\])));
int Arg2 = 0;
verify\_case(3, Arg2, getScore(Arg0, Arg1)); }
void test\_case\_4() {
int Arr0\[\] = {3,2};
vector <int\> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0\[0\])));
int Arr1\[\] = {1,2};
vector <int\> Arg1(Arr1, Arr1 + (sizeof(Arr1) / sizeof(Arr1\[0\])));
int Arg2 = 5;
verify\_case(4, Arg2, getScore(Arg0, Arg1)); }
void test\_case\_5() {
int Arr0\[\] = {3,2};
vector <int\> Arg0(Arr0, Arr0 + (sizeof(Arr0) / sizeof(Arr0\[0\])));
int Arr1\[\] = {1,2};
vector <int\> Arg1(Arr1, Arr1 + (sizeof(Arr1) / sizeof(Arr1\[0\])));
int Arg2 = 5;
verify\_case(5, Arg2, getScore(Arg0, Arg1)); }
// END CUT HERE
};
// BEGIN CUT HERE
int main()
{
StoneGame \_\_\_test;
\_\_\_test.run\_test(-1);
return 0;
}
// END CUT HERE