While Khrushchev spent the morning balancing military reports — including a Cuban general’s warning that U.S. strikes would be shot down — he also broadcast a surprising short message demanding the removal of U.S. Jupiter missiles in Turkey in return for withdrawing Soviet missiles from Cuba. That demand, delivered by radio at 5 p.m. Moscow time, confused and divided Kennedy’s ExComm: some saw a pragmatic off-ramp (Robert Kennedy and the president were receptive), while military hawks led by Curtis LeMay urged immediate bombardment and invasion. Secretary McNamara famously shouted "this means war" upon learning another U-2 had strayed into Soviet territory, but Kennedy repeatedly balked at retaliatory impulse — rejecting a planned strike on the SAM site that downed Anderson and instead approving a public letter demanding Cuba make its missile sites inoperable while leaving a separate secret channel for a Turkey-for-Cuba accommodation. All the while, other flashpoints threatened uncontrolled escalation: in the Sargasso Sea four Soviet submarines, including B-59, endured hours of depth-charge harassment; Captain Vasiliy Arkhipov’s refusal to agree to fire a nuclear torpedo (two-thirds Hiroshima yield) likely prevented a nuclear exchange. The episode shows how exhausted leaders, mixed messages, split commands on the ground, and the judgment of a few individuals combined to bring the world to the brink — and, through a series of fraught, contingent decisions, back from it.