标签:\n sequence name nim number max nta ring eof
You are given two pots, having the volume of A and B liters respectively. The following operations can be performed:
Write a program to find the shortest possible sequence of these operations that will yield exactly C liters of water in one of the pots.
On the first and only line are the numbers A, B, and C. These are all integers in the range from 1 to 100 and C≤max(A,B).
The first line of the output must contain the length of the sequence of operations K. The following K lines must each describe one operation. If there are several sequences of minimal length, output any one of them. If the desired result can’t be achieved, the first and only line of the file must contain the word ‘impossible’.
Sample Input
3 5 4
Sample Output
6 FILL(2) POUR(2,1) DROP(1) POUR(2,1) FILL(2) POUR(2,1)
对于这题,难点不在BFS的思路,难点在于BFS每一次父节点生成孩子结点的时候,情况比较复杂。对于记录路径,仍然需要使用孩子节点标记一个前缀指向父节点,然后用递归的方式实现即可。自己在写代码的时候非常不注意,在生成孩子节点时,对于标记访问的数组,本来应该用=,但我直接复制的判断条件里的==,导致一直RE。谨记!
1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <queue> 5 using namespace std; 6 const int MAXN = 100; 7 bool visit[MAXN+3][MAXN+3]; 8 int A, B, C; 9 10 struct Point 11 { 12 int first, second, cnt; 13 int prev, id; //父节点和操作对象 14 char op; //操作 15 }; 16 17 Point P[MAXN*MAXN + 4]; 18 int Cnt, Ans; 19 20 void Output(int t) 21 { 22 if(P[t].prev != -1) 23 { 24 Ans++; 25 Output(P[t].prev); 26 } 27 if(Ans != -1) 28 { 29 printf("%d\n", Ans); 30 Ans = -1; 31 } 32 if(P[t].op==‘F‘) 33 { 34 printf("FILL(%d)\n", P[t].id); 35 } 36 else if(P[t].op == ‘P‘) 37 { 38 printf("POUR(%d,%d)\n", P[t].id, P[t].id==1?2:1); 39 } 40 else if(P[t].op == ‘D‘) 41 { 42 printf("DROP(%d)\n", P[t].id); 43 } 44 } 45 46 void BFS() 47 { 48 Point t; 49 int cur; 50 t.first = 0, t.second = 0; 51 visit[0][0] = 1; 52 t.op = ‘0‘, t.prev = -1, t.id = -1; 53 t.cnt = 0; 54 P[0] = t; 55 Cnt = 1; 56 cur = 0; 57 58 while(true) 59 { 60 if(cur >= Cnt) 61 { 62 printf("impossible\n"); 63 return; 64 } 65 Point pt = P[cur++]; 66 67 if(pt.first == C || pt.second == C) 68 { 69 Ans = 0; 70 Output(pt.cnt); 71 break; 72 } 73 74 t.prev = pt.cnt; 75 76 if(pt.first < A) 77 { 78 t.first = A; 79 t.second = pt.second; 80 if(visit[t.first][t.second] == 0) 81 { 82 //visit[t.first][t.second] == 1; 刚开始RE的原因 83 visit[t.first][t.second] = 1; 84 t.op = ‘F‘; 85 t.id = 1; 86 t.cnt = Cnt; 87 P[Cnt++] = t; 88 89 } 90 } 91 92 if(pt.second < B) 93 { 94 t.first = pt.first; 95 t.second = B; 96 if(visit[t.first][t.second] == 0) 97 { 98 visit[t.first][t.second] = 1; 99 t.op = ‘F‘; 100 t.id = 2; 101 t.cnt = Cnt; 102 P[Cnt++] = t; 103 } 104 } 105 106 if(pt.first < A && pt.second > 0 ) 107 { 108 t.first = pt.first + pt.second; 109 t.second = t.first - A; 110 if(t.second < 0) 111 t.second = 0; 112 else 113 t.first = A; 114 if(visit[t.first][t.second] == 0) 115 { 116 visit[t.first][t.second] = 1; 117 t.op = ‘P‘; 118 t.id = 2; 119 t.cnt = Cnt; 120 P[Cnt++] = t; 121 } 122 } 123 124 if(pt.second < B && pt.first > 0) 125 { 126 t.second = pt.second + pt.first; 127 t.first = t.second - B; 128 if(t.first < 0) 129 t.first = 0; 130 else 131 t.second = B; 132 if(visit[t.first][t.second] == 0) 133 { 134 visit[t.first][t.second] = 1; 135 t.op = ‘P‘; 136 t.id = 1; 137 t.cnt = Cnt; 138 P[Cnt++] = t; 139 } 140 } 141 142 if(pt.first > 0) 143 { 144 t.first = 0; 145 t.second = pt.second; 146 if(visit[t.first][t.second] == 0) 147 { 148 visit[t.first][t.second] = 1; 149 t.op = ‘D‘; 150 t.id = 1; 151 t.cnt = Cnt; 152 P[Cnt++] = t; 153 } 154 } 155 156 if(pt.second > 0) 157 { 158 t.first = pt.first; 159 t.second = 0; 160 if(visit[t.first][t.second] == 0) 161 { 162 visit[t.first][t.second] = 1; 163 t.op = ‘D‘; 164 t.id = 2; 165 t.cnt = Cnt; 166 P[Cnt++] = t; 167 } 168 } 169 } 170 } 171 172 int main() 173 { 174 while(scanf("%d %d %d", &A, &B, &C)!=EOF) 175 { 176 memset(visit, 0, sizeof(visit)); 177 BFS(); 178 } 179 return 0; 180 }
标签:\n sequence name nim number max nta ring eof
原文地址:https://www.cnblogs.com/dybala21/p/10023498.html