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139 \item Repeatable roman digits are $I$, $X$, $C$ and $M$. The other ones |
139 \item Repeatable roman digits are $I$, $X$, $C$ and $M$. The other ones |
140 are non-repeatable. Repeatable digits can be repeated upto 3 times in a |
140 are non-repeatable. Repeatable digits can be repeated upto 3 times in a |
141 number (for example $MMM$ is OK); non-repeatable digits cannot be |
141 number (for example $MMM$ is OK); non-repeatable digits cannot be |
142 repeated at all (for example $VV$ is excluded). |
142 repeated at all (for example $VV$ is excluded). |
143 |
143 |
144 \item If a smaller digits precedes a bigger digit, then $I$ can precede $V$ and $C$; $X$ can preced |
144 \item If a smaller digits precedes a bigger digit, then $I$ can precede $V$ and $X$; $X$ can preced |
145 $L$ and $C$; and $C$ can preced $D$ and $M$. No other combination is permitted in this case. |
145 $L$ and $C$; and $C$ can preced $D$ and $M$. No other combination is permitted in this case. |
146 |
146 |
147 \item If a smaller digit precedes a bigger digit (for example $IV$), then the smaller number |
147 \item If a smaller digit precedes a bigger digit (for example $IV$), then the smaller number |
148 must be either the first digit in the number, or follow a digit which is at least 10 times its value. |
148 must be either the first digit in the number, or follow a digit which is at least 10 times its value. |
149 So $VIV$ is excluded, because $I$ follows $V$ and $I * 10$ is bigger than $V$; but $XIV$ is |
149 So $VIV$ is excluded, because $I$ follows $V$ and $I * 10$ is bigger than $V$; but $XIV$ is |