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+#!/usr/bin/awk -f
+
+NR % 3 == 1 { split($0, x) }
+NR % 3 == 2 { split($0, y) }
+NR % 3 == 0 { split($0, z) }
+
+(NR % 3 == 0) && (x[1] + y[1] > z[1]) &&
+ (y[1] + z[1] > x[1]) && (z[1] + x[1] > y[1]) { c++ }
+(NR % 3 == 0) && (x[2] + y[2] > z[2]) &&
+ (y[2] + z[2] > x[2]) && (z[2] + x[2] > y[2]) { c++ }
+(NR % 3 == 0) && (x[3] + y[3] > z[3]) &&
+ (y[3] + z[3] > x[3]) && (z[3] + x[3] > y[3]) { c++ }
+
+END { print c }