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Task/Twelve-statements/ERRE/twelve-statements.erre

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+PROGRAM TWELVE_STMS
+
+!$DYNAMIC
+DIM PASS%[0],T%[0]
+
+FUNCTION EOR(X,Y)
+    EOR=(X AND NOT(Y)) OR (NOT(X) AND Y)
+END FUNCTION
+
+BEGIN
+      NSTATEMENTS%=12
+      !$DIM PASS%[NSTATEMENTS%],T%[NSTATEMENTS%]
+
+      FOR TRY%=0 TO 2^NSTATEMENTS%-1 DO
+
+        ! Postulate answer:
+        FOR STMT%=1 TO 12 DO
+          T%[STMT%]=(TRY% AND 2^(STMT%-1))<>0
+        END FOR
+
+        ! Test consistency:
+        PASS%[1]=T%[1]=(NSTATEMENTS%=12)
+        PASS%[2]=T%[2]=((T%[7]+T%[8]+T%[9]+T%[10]+T%[11]+T%[12])=-3)
+        PASS%[3]=T%[3]=((T%[2]+T%[4]+T%[6]+T%[8]+T%[10]+T%[12])=-2)
+        PASS%[4]=T%[4]=((NOT T%[5] OR (T%[6] AND T%[7])))
+        PASS%[5]=T%[5]=(NOT T%[2] AND NOT T%[3] AND NOT T%[4])
+        PASS%[6]=T%[6]=((T%[1]+T%[3]+T%[5]+T%[7]+T%[9]+T%[11])=-4)
+        PASS%[7]=T%[7]=(EOR(T%[2],T%[3]))
+        PASS%[8]=T%[8]=((NOT T%[7] OR (T%[5] AND T%[6])))
+        PASS%[9]=T%[9]=((T%[1]+T%[2]+T%[3]+T%[4]+T%[5]+T%[6])=-3)
+        PASS%[10]=T%[10]=(T%[11] AND T%[12])
+        PASS%[11]=T%[11]=((T%[7]+T%[8]+T%[9])=-1)
+        PASS%[12]=T%[12]=((T%[1]+T%[2]+T%[3]+T%[4]+T%[5]+T%[6]+T%[7]+T%[8]+T%[9]+T%[10]+T%[11])=-4)
+
+        SUM=0
+        FOR I%=1 TO 12 DO
+           SUM=SUM+PASS%[I%]
+        END FOR
+
+        CASE SUM OF
+          -11->
+            PRINT("Near miss with statements ";)
+            FOR STMT%=1 TO 12 DO
+              IF T%[STMT%] THEN PRINT(STMT%;) END IF
+              IF NOT PASS%[STMT%] THEN MISS%=STMT% END IF
+            END FOR
+            PRINT("true (failed ";MISS%;").")
+          END ->
+          -12->
+            PRINT("Solution! with statements ";)
+            FOR STMT%=1 TO 12 DO
+              IF T%[STMT%] THEN PRINT(STMT%;) END IF
+            END FOR
+            PRINT("true.")
+          END ->
+        END CASE
+
+      END FOR ! TRY%
+END PROGRAM