Lec-25: Alpha Beta Pruning in Hindi with Example | Artificial Intelligence

[0:00]Hello friends, welcome to Gate Smasher. Aaj ki is video mein hum discuss karne ja rahe hain Alpha Beta Pruning ke baare mein. Aur is video mein Alpha Beta Pruning ke baare mein hum saare important point discuss kar rahe hain jo aapke competitive exams ya fir aapke college ya university ke exams ke liye bhi bahut zyada beneficial honge. Toh sabse pehle point se hum discuss karte hain ki jo Alpha Beta Pruning method hai, isko hum Mini Max ka advanced version bhi bolte hain. Kehne ka matlab kya hai yahan pe, Mini Max algorithm ki jo time complexity hai, jo performance hai, woh hum order of B ki power D mein calculate karte hain. Matlab kehne ka ki agar hamare paas ek game tree hai, aur us game tree mein jo branch factor hai, woh hai B. Matlab har ek node ke B number of childs hain, aur woh branch factor jo B hai, aur hamare paas jo game tree hai, game tree ki depth jo hai woh kitni hai D. Toh hamare paas jo time complexity banti hai Mini Max ki, woh banti hai order of B ki power D. Aur aisa actually isliye hai kyunki hum saari nodes ko explore karte hain, aur humein karna kya hota hai, hamara jo main aim kya hai ki humein Max ke liye, jo Max player hai uske liye best path find karna hai. Toh Max player jo ki hamara root level pe hum consider karte hain, toh uske liye jo best path find karne mein total humein saari nodes ko explore karna padta hai, aur hamare paas jo time complexity ban jati hai, woh order of B ki power D. Aur jo Alpha Beta Pruning hai, ismein hum actual mein karte kya hain, humein jo yeh jo exploring hai, is exploring ko humein cut off karna hai. Aur yahi yahan pe maine important point likha hai, ki cut off the search by exploring less number of nodes. Matlab agar hum number of nodes ko explore kam karenge, toh obviously hamari jo performance hai, woh badh jayegi. Matlab hamari jo time hai, woh time definitely hamara kam lagega kismein Alpha Beta Pruning mein. Aur yeh actual mein hum karte kaise hain, hum agar hamare paas already ek path find ho gaya. Agar hamare paas already ek best path find ho gaya, toh hum baaki ke jo path hain, unko prune kar denge. Prune ka matlab kya hota hai, cut off kar dena, matlab hum unko explore hi nahi karenge, kyunki woh hamare final decision mein koi problem jo hai, woh create nahi kar rahe. Aur agar hamare paas already ek path mil gaya, toh hum baaki ke path ko explore nahi karenge, unko hum prune kar denge, aur yahi method ko hum bolte hain Alpha Beta Pruning. Aur actual mein hai kya Alpha Beta? Alpha Beta do values hai, aur Alpha generally hum Max node ke liye consider karte hain, aur Beta value jo hai, woh generally hum Min node ke liye consider karte hain. Lekin hum yeh Alpha Beta ki value find out kaise karte hain, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge. Toh sabse pehle maine yahan pe jo game tree liya hua hai, maine already example jo hai woh thoda bada liya hua hai, taaki aapko saare jo cases hain, unko main ismein consider kar do, aur aapko pata lag jaye ki Alpha Beta Pruning jo hai woh kaise kaam karti hai. Toh hamare paas game tree mein root node pe Max jo hai, next hamare paas Min hai, aur phir Max hai, phir Min hai aur last mein hamare paas terminals hain, jinko hum leaf node bolte hain. Toh sabse pehle jo hum generally consider karte hain ki Max, matlab main ek Max player hoon, aur Max player ne apni ek turn li, matlab usne apna ek path jo hai choose kiya. Uske baad Min choose karega, phir Max choose karega, phir Min choose karega, is tarike se, aur hamare paas terminal pe already jo utility hai, jo values hain, woh already hamare paas hain. Toh inhi values ke help se hum dekhenge ki kaise hum Beta aur Alpha ki value ko find out karna hai, aur kaise hum prune karte hain values ko? Matlab hum path ko kaise prune karte hain, nodes ko kaise prune karte hain, aur hum less number of nodes ko kaise explore karte hain rather than Mini Max, woh point hum is game tree se dekhenge.