标题:判断一组不等式是否满足约束并输出最大差

给定一组不等式,判断是否成立并输出不等式的最大差(输出浮点数的整数部分),要求:

1)不等式系数为double类型,是一个二维数组;

2)不等式的变量为int类型,是一维数组;

3)不等式的目标值为double类型,是一维数组;

4)不等式约束为字符串数组,只能是:">",">=","<","<=","=",例如,不等式组:

a11x1+a12x2+a13x3+a14x4+a15*x5<=b1;

a21x1+a22x2+a23x3+a24x4+a25*x5<=b2;

a31x1+a32x2+a33x3+a34x4+a35*x5<=b3;

最大差=max{ (a11x1+a12x2+a13x3+a14x4+a15x5-b1), (a21x1+a22x2+a23x3+a24x4+a25x5-b2),

(a31x1+a32x2+a33x3+a34x4+a35*x5-b3) },类型为整数(输出浮点数的整数部分)

输入描述:

1)不等式组系数(double类型):

a11,a12,a13,a14,a15

a21,a22,a23,a24,a25

a31,a32,a33,a34,a35

2)不等式变量(int类型):

x1,x2,x3,x4,x5

3)不等式目标值(double类型):b1,b2,b3

4)不等式约束(字符串类型):<=,<=,<=

输入:a11,a12,a13,a14,a15;a21,a22,a23,a24,a25;a31,a32,a33,a34,a35;x1,x2,x3,x4,x5;b1,b2,b3;<=,<=,<=

输出描述:

true 或者 false, 最大差

示例1

输入

2.3,3,5.6,7,6;11,3,8.6,25,1;0.3,9,5.3,66,7.8;1,3,2,7,5;340,670,80.6;<=,<=,<=

输出

false 458

示例2

输入

2.36,3,6,7.1,6;1,30,8.6,2.5,21;0.3,69,5.3,6.6,7.8;1,13,2,17,5;340,67,300.6;<=,>=,<=

输出

false 758

 function test(){
  let str = '2.3,3,5.6,7,6;11,3,8.6,25,1;0.3,9,5.3,66,7.8;1,3,2,7,5;340,670,80.6;<=,<=,<='
  let arr = str.split(';')
  let budengshiArr = arr[arr.length - 1].split(',')
  let mubiaoArr = arr[arr.length - 2].split(',').map(e=>Number(e))
  let bianliangArr = arr[arr.length - 3].split(',').map(e=>Number(e))
  let xishuArr = JSON.parse(JSON.stringify(arr)).splice(0,arr.length-3)
  let resultBoolean = []
  let result = []
  for(let [idx,i] of xishuArr.entries()){
      let itemArr = i.split(',').map(e=>Number(e))
      let sum = 0
      for(let [jdx,j] of itemArr.entries()){
         sum+=j*bianliangArr[jdx]
      }
      let fn = new Function (`return ${sum}${budengshiArr[idx]}${mubiaoArr[idx]}`)
      resultBoolean.push(fn())
      result.push(Math.abs(sum-mubiaoArr[idx]))
  }
   let flag = ''
   for(let i of resultBoolean){
       if(flag===''){
          flag = i
       }else {
           flag = i&&flag
       }
   }
   console.log(flag + ' ' + parseInt(Math.max(...result)))
 }
 test()