填写运算符 输入一个2~10之间的正整数,任意插入数学运算符:+(加) 、 -(减) 、 *(乘) 、 /(除)、-(负号)、!(阶乘)、√(开平方,即平方根) 使得整个式子的值为1~10。

即:假设输入的值为10,则:
10 10 10 10 = 1
10 10 10 10 = 2
10 10 10 10 = 3
10 10 10 10 = 4
10 10 10 10 = 5
10 10 10 10 = 6
10 10 10 10 = 7
10 10 10 10 = 8
10 10 10 10 = 9
10 10 10 10 = 10

只要每一个式子给出一个式子即可。若不存在,则输出该式子无法给成。

你这个思路适合用递归函数实现,其实就是对一个数进行自身计算

仅供参考:

//定义下面5种运算顺序:
// ((A @   B) @  C)  @ D  =
//  (A @   B) @ (C   @ D) =
//  (A @  (B  @  C)) @ D  =
//   A @ ((B  @  C)  @ D) =
//   A @  (B  @ (C   @ D))=
//23.99<计算结果<24.01
//其中:
//1≤A、B、C、D≤13
//@为“+、-、*、/”之一
//用浮点数计算,循环遍历以上所有情况即可。
#include <stdio.h>
#define when break;case
int A,B,C,D,N;
float r,r1,r2;
char op1,op2,op3;
char opc[4]={'+','-','*','/'};
void main() {
    N=0;
    for (A  =1;A  <=13;A  ++) {
    for (B  =1;B  <=13;B  ++) {
    for (C  =1;C  <=13;C  ++) {
    for (D  =1;D  <=13;D  ++) {
    for (op1=0;op1<  4;op1++) {
    for (op2=0;op2<  4;op2++) {
    for (op3=0;op3<  4;op3++) {
        // ((A @   B) @  C)  @ D
        r=(float)A;
        switch (op1) {case 0:r =r +B ;when 1:r =r -B ;when 2:r =r *B ;when 3:                                      r =r /B ;break;}
        switch (op2) {case 0:r =r +C ;when 1:r =r -C ;when 2:r =r *C ;when 3:                                      r =r /C ;break;}
        switch (op3) {case 0:r =r +D ;when 1:r =r -D ;when 2:r =r *D ;when 3:                                      r =r /D ;break;}
        if (23.99f<r && r<24.01f) {N++;printf("%5d: ((%2d %c   %2d) %c  %2d)  %c %2d  =24\n",N,A,opc[op1],B,opc[op2],C,opc[op3],D);}

        //  (A @   B) @ (C   @ D)
        r1=(float)A;
        switch (op1) {case 0:r1=r1+B ;when 1:r1=r1-B ;when 2:r1=r1*B ;when 3:                                      r1=r1/B ;break;}
        r2=(float)C;
        switch (op3) {case 0:r2=r2+D ;when 1:r2=r2-D ;when 2:r2=r2*D ;when 3:                                      r2=r2/D ;break;}
        switch (op2) {case 0:r =r1+r2;when 1:r =r1-r2;when 2:r =r1*r2;when 3:if (-0.01f<r2 && r2<0.01f) goto STEP3;r =r1/r2;break;}
        if (23.99f<r && r<24.01f) {N++;printf("%5d:  (%2d %c   %2d) %c (%2d   %c %2d) =24\n",N,A,opc[op1],B,opc[op2],C,opc[op3],D);}

        //  (A @  (B  @  C)) @ D
    STEP3:
        r=(float)B;
        switch (op2) {case 0:r =r +C ;when 1:r =r -C ;when 2:r =r *C ;when 3:                                      r =r /C ;break;}
        switch (op1) {case 0:r =A +r ;when 1:r =A -r ;when 2:r =A *r ;when 3:if (-0.01f<r  && r <0.01f) goto STEP4;r =A /r ;break;}
        switch (op3) {case 0:r =r +D ;when 1:r =r -D ;when 2:r =r *D ;when 3:                                      r =r /D ;break;}
        if (23.99f<r && r<24.01f) {N++;printf("%5d:  (%2d %c  (%2d  %c  %2d)) %c %2d  =24\n",N,A,opc[op1],B,opc[op2],C,opc[op3],D);}

        //   A @ ((B  @  C)  @ D)
    STEP4:
        r=(float)B;
        switch (op2) {case 0:r =r +C ;when 1:r =r -C ;when 2:r =r *C ;when 3:                                      r =r /C ;break;}
        switch (op3) {case 0:r =r +D ;when 1:r =r -D ;when 2:r =r *D ;when 3:                                      r =r /D ;break;}
        switch (op1) {case 0:r =A +r ;when 1:r =A -r ;when 2:r =A *r ;when 3:if (-0.01f<r  && r <0.01f) goto STEP5;r =A /r ;break;}
        if (23.99f<r && r<24.01f) {N++;printf("%5d:   %2d %c ((%2d  %c  %2d)  %c %2d) =24\n",N,A,opc[op1],B,opc[op2],C,opc[op3],D);}

        //   A @  (B  @ (C   @ D))
    STEP5:
        r=(float)C;
        switch (op3) {case 0:r =r +D ;when 1:r =r -D ;when 2:r =r *D ;when 3:                                      r =r /D ;break;}
        switch (op2) {case 0:r =B +r ;when 1:r =B -r ;when 2:r =B *r ;when 3:if (-0.01f<r  && r <0.01f) continue  ;r =B /r ;break;}
        switch (op1) {case 0:r =A +r ;when 1:r =A -r ;when 2:r =A *r ;when 3:if (-0.01f<r  && r <0.01f) continue  ;r =A /r ;break;}
        if (23.99f<r && r<24.01f) {N++;printf("%5d:   %2d %c  (%2d  %c (%2d   %c %2d))=24\n",N,A,opc[op1],B,opc[op2],C,opc[op3],D);}
    }//op3
    }//op2
    }//op1
    }//D
    }//C
    }//B
    }//A
}
//运行结果:
//    1: (( 1 +    1) +   1)  *  8  =24
//    2:  ( 1 +  ( 1  +   1)) *  8  =24
//    3:  ( 1 +    1) * ( 1   + 11) =24
// ... ...
//53280:  (13 +   13) / (13   / 12) =24
//53281:  (13 -  (13  /  13)) + 12  =24
//53282:   13 - ((13  /  13)  - 12) =24