Peter playsa game of darts. On the target shown below each circle has a different score 11 13 31 33 42 44 46. What is the minimum number of hits that he must throw in order to score exactly 100 points?
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bubupin

2007-08-26 01:03
33=3*11，42=11+31，44=11+33=4*11，46=13+33=13+3*11
11a+13b+31c+33d+42e+44f+46g=11x+13y+31z=100
(x,y,z)=(2,6,0)
min=2+6=8