(a) The initial state (b) After expanding Arad (c) After expanding Sibiu Sibiu 393=140+253 Rimnicu Vilcea Arad Fagaras Oradea 646-280+366 415=239+176 671-291+380 413=220+193 (d) After expanding Rimnicu Vilcea Arad 646-280+366 Fagaras Arad Oradea 646-280+366 415=239+176 671=291+380 Sibiu (e) After expanding Fagaras Fagaras Arad 646-280+366 Sibiu Fagaras Sibiu Bucharest Sibiu 591-338+253 450-450+0 (f) After expanding Pitesti 671-291+380 Oradea Rimnicu Vilcea Sibiu Rimnicu Vilcea Sibiu Bucharest 591-338+253 450-450+0 Oradea 671=291+380 Arad 366=0+366 Rimnicu Vilcea Arad Craiova 526-366+160 Arad Craiova Pitesti 526 366+160 417=317+100 Arad Arad Timisoara 447=118+329 Arad Timisoara 447 118+329 Craiova Pitesti Sibiu 526 366+160 417-317+100 553=300+253 Pitesti Timisoara 447=118+329 Sibiu 553=300+253 Timisoara 447=118+329 Timisoara 447=118+329 Sibiu 553=300+253 Bucharest Craiova Rimnicu Vilcea 418 418+0 615=455+160 607-414+193 Zerind 449=75+374 Zerind 449-75+374 Zerind 449=75+374 Zerind 449=75+374 Zerind 449 75+374

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Your Question:

I would like to know how the A* algorithm works because I don't get the calculations from the second row and if someone can give me the detailed calculations on how the numbers come out.

the sheet already has an answer, I just need to know how the calculations come out. 

(a) The initial state
(b) After expanding Arad
(c) After expanding Sibiu
Sibiu
393=140+253
Rimnicu Vilcea
Arad
Fagaras Oradea
646-280+366 415=239+176 671-291+380 413=220+193
(d) After expanding Rimnicu Vilcea
Arad
646-280+366
Fagaras
Arad
Oradea
646-280+366 415=239+176 671=291+380
Sibiu
(e) After expanding Fagaras
Fagaras
Arad
646-280+366
Sibiu
Fagaras
Sibiu
Bucharest
Sibiu
591-338+253 450-450+0
(f) After expanding Pitesti
671-291+380
Oradea Rimnicu Vilcea
Sibiu
Rimnicu Vilcea
Sibiu
Bucharest
591-338+253 450-450+0
Oradea
671=291+380
Arad
366=0+366
Rimnicu Vilcea
Arad
Craiova
526-366+160
Arad
Craiova
Pitesti
526 366+160 417=317+100
Arad
Arad
Timisoara
447=118+329
Arad
Timisoara
447 118+329
Craiova
Pitesti
Sibiu
526 366+160 417-317+100 553=300+253
Pitesti
Timisoara
447=118+329
Sibiu
553=300+253
Timisoara
447=118+329
Timisoara
447=118+329
Sibiu
553=300+253
Bucharest
Craiova
Rimnicu Vilcea
418 418+0 615=455+160 607-414+193
Zerind
449=75+374
Zerind
449-75+374
Zerind
449=75+374
Zerind
449=75+374
Zerind
449 75+374
Transcribed Image Text:(a) The initial state (b) After expanding Arad (c) After expanding Sibiu Sibiu 393=140+253 Rimnicu Vilcea Arad Fagaras Oradea 646-280+366 415=239+176 671-291+380 413=220+193 (d) After expanding Rimnicu Vilcea Arad 646-280+366 Fagaras Arad Oradea 646-280+366 415=239+176 671=291+380 Sibiu (e) After expanding Fagaras Fagaras Arad 646-280+366 Sibiu Fagaras Sibiu Bucharest Sibiu 591-338+253 450-450+0 (f) After expanding Pitesti 671-291+380 Oradea Rimnicu Vilcea Sibiu Rimnicu Vilcea Sibiu Bucharest 591-338+253 450-450+0 Oradea 671=291+380 Arad 366=0+366 Rimnicu Vilcea Arad Craiova 526-366+160 Arad Craiova Pitesti 526 366+160 417=317+100 Arad Arad Timisoara 447=118+329 Arad Timisoara 447 118+329 Craiova Pitesti Sibiu 526 366+160 417-317+100 553=300+253 Pitesti Timisoara 447=118+329 Sibiu 553=300+253 Timisoara 447=118+329 Timisoara 447=118+329 Sibiu 553=300+253 Bucharest Craiova Rimnicu Vilcea 418 418+0 615=455+160 607-414+193 Zerind 449=75+374 Zerind 449-75+374 Zerind 449=75+374 Zerind 449=75+374 Zerind 449 75+374
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