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Duckworth–Lewis–Stern method
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===Step 1. Find the batting resources available to each team=== After each reduction in overs, the new total batting resources available to the two teams are found, using figures for the total amount of batting resources ''remaining'' for any combination of overs and wickets. While the process for converting these resources remaining figures into total resource available figures is the same in the two Editions, this can be done manually in the Standard Edition, as the resource remaining figures are published in a reference table.<ref name="DLMethod"/> However, the resource remaining figures used in the Professional Edition are not publicly available,<ref name=FAQ/> so a computer must be used which has the software loaded. *If a team loses resource at the ''start'' of an innings (left hand image below), then this is simple. For example, if the first 20 overs of an innings are lost, then 30 overs and 10 wickets are remaining, which is 75.1% in the Standard Edition, so this is the resource available. *If a team loses resource at the ''end'' of its innings (centre image below), then the resource that was available to that team is found by taking the resources it had at the start, and [[subtraction|subtracting]] the resources remaining at the point the innings was ended. For example, if a team starts with 50 overs and 10 wickets (100% of its resources), but its innings is ended with 20 overs and 8 wickets remaining (52.4% of its resources), then the resources it actually used is 100% − 52.4% = 47.6%. *If a team loses resource in the ''middle'' of its innings (right hand image below), then the resource that was available to that team is found by taking the resources it had at the start, and subtracting the resources remaining at the point the innings was interrupted (to give the resources used in the first period of the innings), then adding on the resource remaining at the restart. For example, if a team starts with 50 overs and 10 wickets (100% of its resources), but is interrupted when it still has 40 overs and 8 wickets remaining (77.8% of its resources), and restarted when it has 20 overs and 8 wickets remaining (52.4% of its resources), then the resources it actually used is 100% − 77.8% + 52.4% = 74.6%. Another way of looking at this is to say it lost the resources available between 40 overs and 8 wickets (77.8%) and 20 overs and 8 wickets (52.4%), i.e. 77.8% − 52.4% = 25.4%, so its total resource available was 100% − 25.4% = 74.6%. '''[[File:DuckworthLewisDiag1.png|300px|DuckworthLewisDiag1]]''' [[File:DuckworthLewisDiag2.png|330px|DuckworthLewisDiag2]] [[File:DuckworthLewisDiag3.png|360px|DuckworthLewisDiag3]] These are just the different ways of having one interruption. With multiple interruptions possible, it may seem like finding the total resource percentage requires a different calculation for each different scenario. However, the formula is actually the same each time − it's just that different scenarios, with more or less interruptions and restarts, need to use more or less of the same formula. The total resources available to a team are given by:<ref name="DLMethod"/> <!--<div style="background: white; border: 1px solid rgb(153, 153, 153); padding: 2px;">--> <div style="background: white; border: 2px solid rgb(0, 255, 0); padding: 2px;"> {| |- |''Total resources available'' = '''100%''' − '''('''Resources lost by '''1st''' interruption''')''' − '''('''Resources lost by '''2nd''' interruption''')''' − '''('''Resources lost by '''3rd''' interruption''')''' − '''<big>...</big>''' |} </div> which can alternatively be written as: <!--<div style="background: white; border: 1px solid rgb(153, 153, 153); padding: 2px;">--> <div style="background: white; border: 2px solid rgb(0, 255, 0); padding: 2px;"> {| |- |''Total resources available'' = '''100%''' − Resources remaining at '''1st''' interruption + Resources remaining at '''1st''' restart − Resources remaining at '''2nd''' interruption + Resources remaining at '''2nd''' restart − Resources remaining at '''3rd''' interruption + Resources remaining at '''3rd''' restart − '''<big>...</big>''' |} </div> Each time there's an interruption or a restart after an interruption, the resource remaining percentages at those times (obtained from a reference table for the Standard Edition, or from a computer for the Professional Edition) can be entered into the formula, with the rest left blank. Note that a delay at the start of an innings counts as the 1st interruption.
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