Using the preceding computer program as a template to solve simultaneously
X(1) ^ 5 + X(2) ^ 5 = 464 and X(1) + X(2) = 4 from youtube
Jsun Yui Wong
The computer program listed below aims to solve the following nonlinear system of equations from youtube [107]:
X(1) ^ 5 + X(2) ^ 5 = 464
X(1) + X(2) = 4.
0 DEFDBL A-Z
1 REM DEFINT I, J, K
2 DIM B(99), N(99), A(2002), H(99), L(99), U(99), X(2002), D(111), P(111), PS(33), J(99), AA(99), HR(32), HHR(32), LHS(44), PLHS(44), LB(22), UB(22), PX(44), J44(44), PN(22), NN(22)
85 FOR JJJJ = -32000 TO 32000
89 RANDOMIZE JJJJ
90 M = -3D+30
116 A(2) = -100 + RND * 200
128 FOR i = 1 TO 10000
129 FOR KKQQ = 1 TO 3
130 X(KKQQ) = A(KKQQ)
131 NEXT KKQQ
139 FOR IPP = 1 TO FIX(1 + RND * 3)
140 B = 1 + FIX(RND * 3)
144 IF RND < .5 THEN 160 ELSE GOTO 167
160 r = (1 - RND * 2) * A(B)
164 X(B) = A(B) + (RND ^ (RND * 15)) * r
165 GOTO 168
167 IF RND < .5 THEN X(B) = A(B) - FIX(RND * 2) ELSE X(B) = A(B) + FIX(RND * 2)
168 NEXT IPP
222 X(1) = 4 - X(2)
333 FOR J44 = 1 TO 3
335 REM X(J44) = INT(X(J44))
337 NEXT J44
459 PD1 = -ABS(X(1) ^ 5 + X(2) ^ 5 - 464)
466 P = PD1
1111 IF P <= M THEN 1670
1452 M = P
1454 FOR KLX = 1 TO 3
1455 A(KLX) = X(KLX)
1456 NEXT KLX
1670 NEXT i
1777 IF M < -9999999 THEN 1999
1904 PRINT A(1), A(2), M, JJJJ
1999 NEXT JJJJ
This computer program was run with qb64v1000-win [102]. Its output of one run through
JJJJ= -31997 is summarized below:
3.414213562373101 .585786437626899 -4.135...D-12
-32000
3.414213562373087 .5857864376269136 -5.812...D-12
-31999
3.414213562373548 .5857864376264526 -3.071...D-10
-31998
.5857864376268034 3.414213562373197 -6.894...D-11
-31997
Above there is no rounding by hand; it is just straight copying by hand from the monitor screen. By using the following computer system and QB64v1000-win [102], the wall-clock time (not CPU time) for obtaining the output through JJJJ = -31997 was 3 seconds, counting from "Starting program...".
The computational results presented above were obtained from the following computer system:
Processor: Intel (R) Core (TM) i5 CPU M 430 @2.27 GHz 2.26 GHz
Installed memory (RAM): 4.00GB (3.87 GB usable)
System type: 64-bit Operating System.
Acknowledgement
I would like to acknowledge the encouragement of Roberta Clark and Tom Clark.
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