day24: adding python z3, example

day24/pythonZ3/example.py

@@ -0,0 +1,47 @@
+#!/usr/bin/env python3
+
+from z3 import *
+
+s = Solver()
+
+x = Real('x')
+Dx = Real('Dx')
+y = Real('y')
+Dy = Real('Dy')
+z = Real('z')
+Dz = Real('Dz')
+t0 = Real('t0')
+eqT0 = t0 >= 0
+eq0x = x + Dx * t0 == (-2 * t0) + 19
+eq0y = y + Dy * t0 == (1 * t0) + 13
+eq0z = z + Dz * t0 == (-2 * t0) + 30
+t1 = Real('t1')
+eqT1 = t1 >= 0
+eq1x = x + Dx * t1 == (-1 * t1) + 18
+eq1y = y + Dy * t1 == (-1 * t1) + 19
+eq1z = z + Dz * t1 == (-2 * t1) + 22
+t2 = Real('t2')
+eqT2 = t2 >= 0
+eq2x = x + Dx * t2 == (-2 * t2) + 20
+eq2y = y + Dy * t2 == (-2 * t2) + 25
+eq2z = z + Dz * t2 == (-4 * t2) + 34
+#solve for x, y, z, Dx, Dy, Dz, t1, t2, t3.
+
+
+s.add(eqT0,
+      eq0x,
+      eq0y,
+      eq0z,
+      eqT1,
+      eq1x,
+      eq1y,
+      eq1z,
+      eqT2,
+      eq2x,
+      eq2y,
+eq2z)
+
+if s.check() == sat:
+    print("Solution:", s.model())
+else:
+    print("No solution found")