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value | input stringlengths 240 243 | output stringlengths 328 333 | type stringclasses 1
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math | Math Hard 16: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=73, D=POS, φ=PHI1 (shift 2), and X=33, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 496: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=38, D=POS, φ=PHI1 (shift 2), and X=49, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 270: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=72, D=POS, φ=PHI1 (shift 2), and X=11, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 854: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=15, D=POS, φ=PHI1 (shift 2), and X=10, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 908: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=68, D=POS, φ=PHI1 (shift 2), and X=11, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 104: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=48, D=POS, φ=PHI1 (shift 2), and X=28, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 481: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=25, D=POS, φ=PHI1 (shift 2), and X=66, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 863: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=84, D=POS, φ=PHI1 (shift 2), and X=13, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 948: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=88, D=POS, φ=PHI1 (shift 2), and X=72, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 782: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=36, D=POS, φ=PHI1 (shift 2), and X=47, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 688: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=24, D=POS, φ=PHI1 (shift 2), and X=49, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 262: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=85, D=POS, φ=PHI1 (shift 2), and X=27, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 999: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=38, D=POS, φ=PHI1 (shift 2), and X=28, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 657: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=92, D=POS, φ=PHI1 (shift 2), and X=46, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 556: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=61, D=POS, φ=PHI1 (shift 2), and X=99, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 473: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=76, D=POS, φ=PHI1 (shift 2), and X=97, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 761: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=54, D=POS, φ=PHI1 (shift 2), and X=10, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 54 << 2 ) = +216 = 216 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 207: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=52, D=POS, φ=PHI1 (shift 2), and X=55, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 747: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=48, D=POS, φ=PHI1 (shift 2), and X=36, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 511: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=42, D=POS, φ=PHI1 (shift 2), and X=59, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 919: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=82, D=POS, φ=PHI1 (shift 2), and X=52, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 267: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=82, D=POS, φ=PHI1 (shift 2), and X=53, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 339: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=18, D=POS, φ=PHI1 (shift 2), and X=69, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 465: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=23, D=POS, φ=PHI1 (shift 2), and X=26, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 286: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=49, D=POS, φ=PHI1 (shift 2), and X=77, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 881: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=54, D=POS, φ=PHI1 (shift 2), and X=12, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 54 << 2 ) = +216 = 216 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 524: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=70, D=POS, φ=PHI1 (shift 2), and X=66, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 466: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=67, D=POS, φ=PHI1 (shift 2), and X=45, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 189: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=67, D=POS, φ=PHI1 (shift 2), and X=53, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 295: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=36, D=POS, φ=PHI1 (shift 2), and X=38, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 7: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=22, D=POS, φ=PHI1 (shift 2), and X=39, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 365: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=88, D=POS, φ=PHI1 (shift 2), and X=73, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 793: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=11, D=POS, φ=PHI1 (shift 2), and X=58, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 92: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=91, D=POS, φ=PHI1 (shift 2), and X=47, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 711: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=53, D=POS, φ=PHI1 (shift 2), and X=50, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 627: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=35, D=POS, φ=PHI1 (shift 2), and X=57, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 152: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=50, D=POS, φ=PHI1 (shift 2), and X=19, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 112: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=47, D=POS, φ=PHI1 (shift 2), and X=54, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 610: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=51, D=POS, φ=PHI1 (shift 2), and X=49, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 332: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=95, D=POS, φ=PHI1 (shift 2), and X=46, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 108: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=92, D=POS, φ=PHI1 (shift 2), and X=41, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 439: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=87, D=POS, φ=PHI1 (shift 2), and X=40, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 593: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=78, D=POS, φ=PHI1 (shift 2), and X=73, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 39: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=26, D=POS, φ=PHI1 (shift 2), and X=13, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 526: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=58, D=POS, φ=PHI1 (shift 2), and X=11, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 77: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=77, D=POS, φ=PHI1 (shift 2), and X=89, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 203: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=67, D=POS, φ=PHI1 (shift 2), and X=91, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 586: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=82, D=POS, φ=PHI1 (shift 2), and X=95, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 965: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=24, D=POS, φ=PHI1 (shift 2), and X=86, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 297: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=52, D=POS, φ=PHI1 (shift 2), and X=40, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 364: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=62, D=POS, φ=PHI1 (shift 2), and X=37, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 880: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=70, D=POS, φ=PHI1 (shift 2), and X=80, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 872: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=86, D=POS, φ=PHI1 (shift 2), and X=66, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 142: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=69, D=POS, φ=PHI1 (shift 2), and X=90, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 69 << 2 ) = +276 = 276 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 624: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=62, D=POS, φ=PHI1 (shift 2), and X=50, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 179: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=75, D=POS, φ=PHI1 (shift 2), and X=30, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 275: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=66, D=POS, φ=PHI1 (shift 2), and X=45, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 660: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=15, D=POS, φ=PHI1 (shift 2), and X=46, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 543: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=13, D=POS, φ=PHI1 (shift 2), and X=62, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 331: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=25, D=POS, φ=PHI1 (shift 2), and X=82, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 447: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=49, D=POS, φ=PHI1 (shift 2), and X=21, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 463: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=27, D=POS, φ=PHI1 (shift 2), and X=21, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 811: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=45, D=POS, φ=PHI1 (shift 2), and X=55, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 45 << 2 ) = +180 = 180 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 634: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=99, D=POS, φ=PHI1 (shift 2), and X=31, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 616: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=22, D=POS, φ=PHI1 (shift 2), and X=32, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 541: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=79, D=POS, φ=PHI1 (shift 2), and X=98, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 937: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=42, D=POS, φ=PHI1 (shift 2), and X=84, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 725: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=44, D=POS, φ=PHI1 (shift 2), and X=40, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 555: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=38, D=POS, φ=PHI1 (shift 2), and X=77, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 233: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=94, D=POS, φ=PHI1 (shift 2), and X=48, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 48 << 4 ) = -768 = -768 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 29: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=78, D=POS, φ=PHI1 (shift 2), and X=95, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 663: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=97, D=POS, φ=PHI1 (shift 2), and X=84, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 745: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=71, D=POS, φ=PHI1 (shift 2), and X=95, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 378: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=57, D=POS, φ=PHI1 (shift 2), and X=86, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 45: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=75, D=POS, φ=PHI1 (shift 2), and X=31, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 560: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=89, D=POS, φ=PHI1 (shift 2), and X=86, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 89 << 2 ) = +356 = 356 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 851: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=77, D=POS, φ=PHI1 (shift 2), and X=86, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 738: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=12, D=POS, φ=PHI1 (shift 2), and X=46, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 540: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=87, D=POS, φ=PHI1 (shift 2), and X=11, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 385: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=60, D=POS, φ=PHI1 (shift 2), and X=53, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 502: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=56, D=POS, φ=PHI1 (shift 2), and X=38, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 56 << 2 ) = +224 = 224 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 330: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=26, D=POS, φ=PHI1 (shift 2), and X=85, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 301: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=47, D=POS, φ=PHI1 (shift 2), and X=16, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 476: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=13, D=POS, φ=PHI1 (shift 2), and X=38, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 606: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=100, D=POS, φ=PHI1 (shift 2), and X=56, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU... | agentic | math | hard |
math | Math Hard 353: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=95, D=POS, φ=PHI1 (shift 2), and X=40, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 217: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=42, D=POS, φ=PHI1 (shift 2), and X=25, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 404: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=84, D=POS, φ=PHI1 (shift 2), and X=47, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 1: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=32, D=POS, φ=PHI1 (shift 2), and X=68, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 862: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=65, D=POS, φ=PHI1 (shift 2), and X=74, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 65 << 2 ) = +260 = 260 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 676: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=53, D=POS, φ=PHI1 (shift 2), and X=25, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
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