Q4: Colouring Book IHaving spent the last couple of hours grading assignments, I decide it's time for a break. I take out my favourite colouring book, turn to a random page I haven't coloured in yet, and lay it on my desk. I then take out all my ncrayons and line them up on the desk (it's a very long desk). The colour of the erayon is a string c11 (eg. Blua"). Many of the erayons have the same colour. In fact, no matter how many erayons I have, there are at most 30 distinet colours amongst them. To start colouring, I always take a sublist (see Q1 for a definition) of the erayons laid on the desk and put away the rest (too many options can be overwhelming and can lead to indecision). I take a look at the line art in front of me and wonder, "Ilow many different colours do I need to make this look great?One? Two? Maybe three?". Now you understand my dilemma and are fully aware of my indecision. You kindly decide to help me out by telling me for every mumber k, if I were to use k distinet colours, what would be the minimum number of crayons I'd need to take? Filename Your filename for this question must be o4.py- Input The input consists of a single line containing n space-separated names of colours specifying the list e Output Let m be the number of distinct colours in e Then, output m space-separated integers. The of them (1-based) should be the minimum number of erayons l'd meed to take so that there are at least kdistinet colours amonget them. Constraints 1s tancet) s s There are at most 30 distinet colours in e Time Limit • Your program has to finish running within 4 seconds on any valid inpud Sample Input 1 areen red red alue red red green Sample Output 1 124

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Q4: Colouring Book
IHaving spent the last couple of hours grading assignments, I decide it's time for a
break. I take out my favourite colouring book, turn to a random page I haven't
coloured in yet, and lay it on my desk. I then take out all my n crayons and line
them up on the desk (it's a very long desk). The colour of the " erayon is a string
c11 (eg. "alue"). Many of the crayons have the same colour. In fact, no matter
how many crayons I have, there are at most 30 distinct colours amongst them.
To start colouring, I always take a sublist (see Qi for a definition) of the crayons
laid on the desk and put away the rest (too many options can be overwhelming
and can lead to indecision).
I take a look at the line art in front of me and wonder, "Ilow many different
colours do I need to make this lonk great? One? Two? Mayhe three?".
Now you understand my dilemma and are fully aware of my indecision. You
kindly decide to help me out by telling me for every number k, if I were to use k
distinet colours, what would be the minimum number of crayons l'd need to
take?
Filename
Your filename for this question must be q4.oy.
Input
The input consists of a single line containing n space-separated names of colours
specifying the list e.
Output
Let m he the number of distinct eolours in e. Then, output e space-separated
integers. The k of them (1-based) should he the minimum number of crayons I'd
need to take so that there are at least k distinet colours amongst them.
Constraints
• Isns5K 104
• 1s 1ancet11) 5
• There are at most 30 distinet colours in e
Time Limit
Your program has to finish running within 4 seconds on any valid input.
Sample Input 1
green red red blue red red green
Sample Output 1
124
Transcribed Image Text:Q4: Colouring Book IHaving spent the last couple of hours grading assignments, I decide it's time for a break. I take out my favourite colouring book, turn to a random page I haven't coloured in yet, and lay it on my desk. I then take out all my n crayons and line them up on the desk (it's a very long desk). The colour of the " erayon is a string c11 (eg. "alue"). Many of the crayons have the same colour. In fact, no matter how many crayons I have, there are at most 30 distinct colours amongst them. To start colouring, I always take a sublist (see Qi for a definition) of the crayons laid on the desk and put away the rest (too many options can be overwhelming and can lead to indecision). I take a look at the line art in front of me and wonder, "Ilow many different colours do I need to make this lonk great? One? Two? Mayhe three?". Now you understand my dilemma and are fully aware of my indecision. You kindly decide to help me out by telling me for every number k, if I were to use k distinet colours, what would be the minimum number of crayons l'd need to take? Filename Your filename for this question must be q4.oy. Input The input consists of a single line containing n space-separated names of colours specifying the list e. Output Let m he the number of distinct eolours in e. Then, output e space-separated integers. The k of them (1-based) should he the minimum number of crayons I'd need to take so that there are at least k distinet colours amongst them. Constraints • Isns5K 104 • 1s 1ancet11) 5 • There are at most 30 distinet colours in e Time Limit Your program has to finish running within 4 seconds on any valid input. Sample Input 1 green red red blue red red green Sample Output 1 124
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