给你一个变量对数组 equations
和一个实数值数组 values
作为已知条件,其中 equations[i] = [Ai, Bi]
和 values[i]
共同表示等式 Ai / Bi = values[i]
。每个 Ai
或 Bi
是一个表示单个变量的字符串。
另有一些以数组 queries
表示的问题,其中 queries[j] = [Cj, Dj]
表示第 j
个问题,请你根据已知条件找出 Cj / Dj = ?
的结果作为答案。
返回 所有问题的答案 。如果存在某个无法确定的答案,则用 -1.0
替代这个答案。如果问题中出现了给定的已知条件中没有出现的字符串,也需要用 -1.0
替代这个答案。
注意:输入总是有效的。你可以假设除法运算中不会出现除数为 0 的情况,且不存在任何矛盾的结果。
示例 1:
输入:equations = [["a","b"],["b","c"]], values = [2.0,3.0], queries = [["a","c"],["b","a"],["a","e"],["a","a"],["x","x"]]
输出:[6.00000,0.50000,-1.00000,1.00000,-1.00000]
解释:
条件:a / b = 2.0, b / c = 3.0
问题:a / c = ?, b / a = ?, a / e = ?, a / a = ?, x / x = ?
结果:[6.0, 0.5, -1.0, 1.0, -1.0 ]
示例 2:
输入:equations = [["a","b"],["b","c"],["bc","cd"]], values = [1.5,2.5,5.0], queries = [["a","c"],["c","b"],["bc","cd"],["cd","bc"]]
输出:[3.75000,0.40000,5.00000,0.20000]
示例 3:
输入:equations = [["a","b"]], values = [0.5], queries = [["a","b"],["b","a"],["a","c"],["x","y"]]
输出:[0.50000,2.00000,-1.00000,-1.00000]
提示:
1 <= equations.length <= 20
equations[i].length == 2
1 <= Ai.length, Bi.length <= 5
values.length == equations.length
0.0 < values[i] <= 20.0
1 <= queries.length <= 20
queries[i].length == 2
1 <= Cj.length, Dj.length <= 5
Ai, Bi, Cj, Dj
由小写英文字母与数字组成
解题思路
没懂,抄的
代码 // 399. 除法求值
func calcEquation(_ equations: [[String]], _ values: [Double], _ queries: [[String]]) -> [Double] {
var map = [String: [String: Double]]()
var res = [Double]()
for i in 0..<equations.count {
let temp1 = equations[i][0]
let temp2 = equations[i][1]
let temp = values[i]
var sub1 = map[temp1, default: [String: Double]()]
sub1[temp2] = temp
map[temp1] = sub1
var sub2 = map[temp2, default: [String: Double]()]
sub2[temp1] = 1 / temp
map[temp2] = sub2
}
for q in queries {
if let subMap1 = map[q[0]], let _ = map[q[1]] {
var didChecks = [String]()
var stack = [[String: Double]]()
stack.append(subMap1)
didChecks.append(q[0])
var paths = [String]()
paths.append(q[0])
var isSuccess = false
while stack.count > 0 {
let oMap = stack.last
var keyCount = 0
for key in oMap!.keys {
if key == q[1] {
// 可计算
paths.append(key)
stack.removeAll()
isSuccess = true
break
} else {
keyCount += 1
if !didChecks.contains(key) {
didChecks.append(key)
if let nextMap = map[key] {
stack.append(nextMap)
paths.append(key)
break
} else {
stack.removeLast()
paths.removeLast()
}
} else {
if keyCount >= oMap!.keys.count {
paths.removeLast()
stack.removeLast()
}
}
}
}
}
if isSuccess {
var result = 1.0
for i in 0..<paths.count - 1 {
let tempMap = map[paths[i]]
let temp = tempMap![paths[i + 1]]
result *= temp!
}
res.append(result)
} else {
res.append(-1.0)
}
} else {
res.append(-1.0)
}
}
return res
}
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