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问答题
In writing all of the integers from 1 to 300, how many times is the digit 1 used?
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解析:
可以参考TACTIC8。根据题意,把数位上有1的数值进行系统地列举有:1到99之间,数位上有1的共20个数值,即(1,11,21…,91)和(10,11,2…,19);相应地,200到299之间,数位上有1的也有20个数值;而100到199之间,数位上有1的除了个位,十位上的,还有百位上的,共有120个数值,所以总数是20+20+20+100=160.
可以参考TACTIC8。根据题意,把数位上有1的数值进行系统地列举有:1到99之间,数位上有1的共20个数值,即(1,11,21…,91)和(10,11,2…,19);相应地,200到299之间,数位上有1的也有20个数值;而100到199之间,数位上有1的除了个位,十位上的,还有百位上的,共有120个数值,所以总数是20+20+20+100=160.
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