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1 of 8 0-day streak

Validate a cut and calculate its capacity

QUESTION TYPEMix of allChange
branch-22-paired; isCut; findValidbranch-22-paired; isCut; findFaultybranch-22-paired; capacity; findValidbranch-22-paired; capacity; findFaultybranch-23-staggered; isCut; findValidbranch-23-staggered; isCut; findFaultybranch-23-staggered; capacity; findValidbranch-23-staggered; capacity; findFaultybranch-32-staggered; isCut; findValidbranch-32-staggered; isCut; findFaultybranch-32-staggered; capacity; findValidbranch-32-staggered; capacity; findFaultybranch-33-complete; isCut; findValidbranch-33-complete; isCut; findFaultybranch-33-complete; capacity; findValidbranch-33-complete; capacity; findFaultydeep-222-paired; isCut; findValiddeep-222-paired; isCut; findFaultydeep-222-paired; capacity; findValiddeep-222-paired; capacity; findFaultydeep-223-staggered; isCut; findValiddeep-223-staggered; isCut; findFaultydeep-223-staggered; capacity; findValiddeep-223-staggered; capacity; findFaultydeep-232-complete; isCut; findValiddeep-232-complete; isCut; findFaultydeep-232-complete; capacity; findValiddeep-232-complete; capacity; findFaultydeep-322-staggered; isCut; findValiddeep-322-staggered; isCut; findFaultydeep-322-staggered; capacity; findValiddeep-322-staggered; capacity; findFaultydeep-233-paired; isCut; findValiddeep-233-paired; isCut; findFaultydeep-233-paired; capacity; findValiddeep-233-paired; capacity; findFaultydeep-323-complete; isCut; findValiddeep-323-complete; isCut; findFaultydeep-323-complete; capacity; findValiddeep-323-complete; capacity; findFaultydeep-332-staggered; isCut; findValiddeep-332-staggered; isCut; findFaultydeep-332-staggered; capacity; findValiddeep-332-staggered; capacity; findFaultydeep-333-paired; isCut; findValiddeep-333-paired; isCut; findFaultydeep-333-paired; capacity; findValiddeep-333-paired; capacity; findFaultyNOWMix of allRecommended
Question 1 of 8

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The diagram models an irrigation network. The source is X and the sink is Q. Each edge label is its capacity in L/s. The network transfers water each second

For the stated cut, the source side is {X, D, M, H} and the sink side is its complement

Directed capacity network. Source X; sink Q. Full edge list: X→D capacity 55 L/s; X→O capacity 40 L/s; D→M capacity 50 L/s; O→I1 capacity 35 L/s; M→H capacity 40 L/s; I1→I capacity 20 L/s; H→Q capacity 35 L/s; I→Q capacity 25 L/s.5540503540203525XQDOMI1HI
2 marks

What is the cut capacity for the stated source side?