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 程式師世界 >> 編程語言 >> C語言 >> C++ >> 關於C++ >> POJ 3414 Pots(BFS 倒水)

POJ 3414 Pots(BFS 倒水)

編輯:關於C++

題意 你有兩個容積分別為a,b杯子 你每次可以將某個杯子中的水倒滿或者倒掉或者倒到另一個杯子 問能否通過這兩個杯子量出c容量的水

和上一個倒可樂問題類似 只是這個操作更多了點 將兩個杯子中各含有的水作為狀態 每出隊列一個狀態 將所有可能到達的狀態入隊 直到有一個杯子裡面水的體積為c 打印路徑直接遞歸就行了

 

#include 
#include #include using namespace std; const int N = 105; int a, b, c, t, le, ri, v[N][N]; int x[N * N], p[N * N], op[N * N], d[N * N]; pair q[N * N]; void check(int i, int j, int o, int k) { if(v[i][j]) return; v[i][j] = 1, p[ri] = le; op[ri] = o, x[ri] = k, d[ri] = d[le] + 1; q[ri++] = make_pair(i, j); } int bfs() { int ca, cb = le = ri = 0; q[ri++] = make_pair(0, 0); memset(v, 0, sizeof(v)), v[0][0] = 1; while(le < ri) { ca = q[le].first, cb = q[le].second; if(ca == c || cb == c) return le; check(a, cb, 1, 1); //FILL(1); check(ca, b, 1, 2); //FILL(2); check(0, cb, 2, 1); //DROP(1); check(ca, 0, 2, 2); //DROP(2); if(ca > b - cb) check(ca - b + cb, b, 3, 1); else check(0, ca + cb, 3, 1); //POUR(1,2); if(cb > a - ca) check(a, cb - a + ca, 3, 2); else check(ca + cb, 0, 3, 2); //POUR(2,1); ++le; } return 0; } void print(int k) { if(p[k] > 0) print(p[k]); if(op[k] == 1) printf("FILL(%d)\n", x[k]); if(op[k] == 2) printf("DROP(%d)\n", x[k]); if(op[k] == 3) printf("POUR(%d,%d)\n", x[k], 3 - x[k]); } int main() { int ans; while(~scanf("%d%d%d", &a, &b, &c)) { if(ans = bfs()) printf("%d\n",d[ans]), print(ans); else puts("impossible"); } return 0; }

 

Pots

 

Description

You are given two pots, having the volume of A and B liters respectively. The following operations can be performed:

FILL(i) fill the pot i (1 ≤ i ≤ 2) from the tap;DROP(i) empty the pot i to the drain;POUR(i,j) pour from pot i to pot j; after this operation either the pot j is full (and there may be some water left in the pot i), or the pot i is empty (and all its contents have been moved to the pot j).

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.

Input

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).

Output

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)


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