Please answer a question about the following article about Gamal Abdel Nasser:

According to Sadat, it was only when the Israelis cut off the Egyptian garrison at Sharm el-Sheikh that Nasser became aware of the situation's gravity. After hearing of the attack, he rushed to army headquarters to inquire about the military situation. The simmering conflict between Nasser and Amer subsequently came to the fore, and officers present reported the pair burst into "a nonstop shouting match". The Supreme Executive Committee, set up by Nasser to oversee the conduct of the war, attributed the repeated Egyptian defeats to the Nasser–Amer rivalry and Amer's overall incompetence. According to Egyptian diplomat Ismail Fahmi, who became foreign minister during Sadat's presidency, the Israeli invasion and Egypt's consequent defeat was a result of Nasser's dismissal of all rational analysis of the situation and his undertaking of a series of irrational decisions.

What two Egyptian leaders personal conflicts played a large part in Egypt's poor showing  in the war?
Nasser–Amer