Paths to US Open women's semis

Following are the paths to the women's semifinals at the US Open (prefix number denotes seeding):

1-Serena Williams, United States, vs Roberta Vinci, Italy

Williams

1st rd: bt Vitalia Diatchenko (Russia) 6-0, 2-0 - retired

2nd rd: bt Kiki Bertens (Netherlands) 7-6 (7/5), 6-3

3rd rd: bt Bethanie Mattek-Sands (United States) 3-6, 7-5, 6-0

4th rd: bt 19-Madison Keys (United States) 6-3, 6-3

QF: bt 23-Venus Williams (United States) 6-2, 1-6, 6-3

Vinci

1st rd: bt Vania King (United States) 6-4, 6-4

2nd rd: bt Denisa Allertova (Czech Republic) 2-6, 6-3, 6-1

3rd rd: bt Mariana Duque-Marino (Columbia) 6-1, 5-7, 6-2

4th rd: bt 25-Eugenie Bouchard (Canada) - walkover due to concussion

QF: bt Kristina Mladenovic (France) 6-3, 5-7, 6-4

26-Flavia Pennetta, Italy, vs 2-Simona Halep, Romania

Pennetta

1st rd: bt Jarmila Gajdosova (Australia) 6-1, 3-6, 6-1

2nd rd: bt Monica Niculescu (Romania) 6-1, 6-4

3rd rd: bt Petra Cetkovska (Czech Republic) 1-6, 6-1, 6-4

4th rd: bt 22-Samantha Stosur (Australia) 6-4, 6-4

QF: bt 5-Petra Kvitova (Czech Republic) 4-6, 6-4, 6-2

Halep

1st rd: bt Marina Erakovic (New Zealand) 6-2, 3-0, retired

2nd rd: bt Kateryna Bondarenko (Ukraine) 6-3, 6-4

3rd rd: bt Shelby Rogers (United States) 6-2, 6-3

4th rd: bt 24-Sabine Lisicki (Germany) 6-7 (6/8), 7-5, 6-2

QF: bt 20-Victorina Azarenka (Belarus) 6-3, 4-6, 6-4

Endi