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value | input stringlengths 240 243 | output stringlengths 328 333 | type stringclasses 1
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math | Math Hard 468: 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=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)*( 11 << 2 ) = +44 = 44 (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-fi... | agentic | math | hard |
math | Math Hard 953: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=14, 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)*( 14 << 2 ) = +56 = 56 (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-fi... | agentic | math | hard |
math | Math Hard 757: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=33, 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)*( 33 << 2 ) = +132 = 132 (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 590: 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=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)*( 58 << 2 ) = +232 = 232 (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 594: 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=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)*( 91 << 2 ) = +364 = 364 (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 81: 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=70, 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)*( 70 << 4 ) = -1120 = -1120 (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 232: 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=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)*( 66 << 2 ) = +264 = 264 (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 48: 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=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)*( 94 << 2 ) = +376 = 376 (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 645: 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=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)*( 70 << 2 ) = +280 = 280 (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 234: 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=81, 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)*( 81 << 4 ) = -1296 = -1296 (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 503: 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=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)*( 87 << 2 ) = +348 = 348 (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 756: 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=92, 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)*( 92 << 4 ) = -1472 = -1472 (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 781: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=39, 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)*( 39 << 2 ) = +156 = 156 (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 641: 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=34, 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)*( 34 << 4 ) = -544 = -544 (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 857: 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=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)*( 87 << 2 ) = +348 = 348 (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 252: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=33, D=POS, φ=PHI1 (shift 2), and X=78, 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)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (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 968: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=64, 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)*( 64 << 2 ) = +256 = 256 (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 879: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=98, 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)*( 98 << 2 ) = +392 = 392 (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 147: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=19, 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)*( 19 << 2 ) = +76 = 76 (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-fi... | agentic | math | hard |
math | Math Hard 260: 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=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)*( 18 << 2 ) = +72 = 72 (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-fi... | agentic | math | hard |
math | Math Hard 80: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=83, 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)*( 83 << 2 ) = +332 = 332 (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 125: 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=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)*( 76 << 2 ) = +304 = 304 (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 814: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=33, 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)*( 33 << 2 ) = +132 = 132 (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 348: 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=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)*( 26 << 2 ) = +104 = 104 (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 535: 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=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)*( 60 << 2 ) = +240 = 240 (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 944: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=29, 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)*( 29 << 2 ) = +116 = 116 (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 67: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=43, D=POS, φ=PHI1 (shift 2), and X=88, 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)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (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 561: 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=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)*( 67 << 2 ) = +268 = 268 (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 642: 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=42, 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)*( 42 << 4 ) = -672 = -672 (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 47: 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=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)*( 60 << 2 ) = +240 = 240 (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 399: 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=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)*( 76 << 2 ) = +304 = 304 (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 823: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=43, D=POS, φ=PHI1 (shift 2), and X=42, 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)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (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 792: 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=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)*( 66 << 2 ) = +264 = 264 (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 592: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=17, 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)*( 17 << 2 ) = +68 = 68 (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-fi... | agentic | math | hard |
math | Math Hard 341: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=17, 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)*( 17 << 2 ) = +68 = 68 (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 354: 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=75, 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)*( 75 << 4 ) = -1200 = -1200 (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 321: 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=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)*( 25 << 2 ) = +100 = 100 (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 935: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=29, D=POS, φ=PHI1 (shift 2), and X=43, 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)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (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 196: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=40, 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)*( 40 << 2 ) = +160 = 160 (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 631: 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=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)*( 27 << 2 ) = +108 = 108 (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-... | agentic | math | hard |
math | Math Hard 600: 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=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)*( 44 << 2 ) = +176 = 176 (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 647: 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=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)*( 69 << 2 ) = +276 = 276 (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 477: 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=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)*( 56 << 2 ) = +224 = 224 (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 91: 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=18, 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)*( 18 << 4 ) = -288 = -288 (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 923: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=46, 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)*( 46 << 2 ) = +184 = 184 (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 643: 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 866: 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=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)*( 48 << 2 ) = +192 = 192 (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 370: 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=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)*( 57 << 2 ) = +228 = 228 (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 633: 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=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)*( 94 << 2 ) = +376 = 376 (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 27: 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=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)*( 91 << 2 ) = +364 = 364 (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 201: 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=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)*( 11 << 2 ) = +44 = 44 (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 CPU-... | agentic | math | hard |
math | Math Hard 542: 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=61, 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)*( 61 << 4 ) = -976 = -976 (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 119: 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=71, 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)*( 71 << 4 ) = -1136 = -1136 (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 18: 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=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)*( 70 << 2 ) = +280 = 280 (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 749: 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=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)*( 77 << 2 ) = +308 = 308 (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-... | agentic | math | hard |
math | Math Hard 268: 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=64, 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)*( 64 << 4 ) = -1024 = -1024 (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 737: 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=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)*( 97 << 2 ) = +388 = 388 (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 446: 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=93, 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)*( 93 << 4 ) = -1488 = -1488 (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 991: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=74, D=POS, φ=PHI1 (shift 2), and X=81, 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)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (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 772: 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=93, 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)*( 93 << 4 ) = -1488 = -1488 (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 806: 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=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)*( 73 << 2 ) = +292 = 292 (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 752: 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=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)*( 57 << 2 ) = +228 = 228 (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 622: 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=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)*( 32 << 2 ) = +128 = 128 (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 303: 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=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)*( 71 << 2 ) = +284 = 284 (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 694: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=81, 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)*( 81 << 2 ) = +324 = 324 (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 546: 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=24, 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)*( 24 << 4 ) = -384 = -384 (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 195: 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 617: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=96, 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)*( 96 << 2 ) = +384 = 384 (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 579: 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=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)*( 23 << 2 ) = +92 = 92 (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 CPU-... | agentic | math | hard |
math | Math Hard 248: 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=94, 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)*( 94 << 4 ) = -1504 = -1504 (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 692: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=39, 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)*( 39 << 2 ) = +156 = 156 (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 180: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=41, D=POS, φ=PHI1 (shift 2), and X=24, 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)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (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 83: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=55, 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)*( 55 << 2 ) = +220 = 220 (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 683: 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=34, 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)*( 34 << 4 ) = -544 = -544 (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 126: 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=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)*( 48 << 2 ) = +192 = 192 (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 505: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=14, 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)*( 14 << 2 ) = +56 = 56 (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 15: 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=35, 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)*( 35 << 4 ) = -560 = -560 (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 689: 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=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)*( 12 << 2 ) = +48 = 48 (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-fi... | agentic | math | hard |
math | Math Hard 717: 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=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)*( 85 << 2 ) = +340 = 340 (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 CP... | agentic | math | hard |
math | Math Hard 306: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=29, D=POS, φ=PHI1 (shift 2), and X=43, 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)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (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 358: 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=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)*( 22 << 2 ) = +88 = 88 (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-fi... | agentic | math | hard |
math | Math Hard 759: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=81, 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)*( 81 << 2 ) = +324 = 324 (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 338: 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=71, 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)*( 71 << 4 ) = -1136 = -1136 (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 842: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=28, 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)*( 28 << 2 ) = +112 = 112 (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 116: 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=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)*( 72 << 2 ) = +288 = 288 (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 852: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=96, 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)*( 96 << 2 ) = +384 = 384 (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 361: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=16, D=POS, φ=PHI1 (shift 2), and X=67, 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)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (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 926: 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=18, 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)*( 18 << 4 ) = -288 = -288 (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 801: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=93, 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)*( 93 << 2 ) = +372 = 372 (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 387: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=37, 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)*( 37 << 2 ) = +148 = 148 (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 762: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=83, D=POS, φ=PHI1 (shift 2), and X=44, 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)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (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 487: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=30, D=POS, φ=PHI1 (shift 2), and X=29, 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)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (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 251: 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=88, 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)*( 88 << 4 ) = -1408 = -1408 (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 904: 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=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)*( 51 << 2 ) = +204 = 204 (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 728: 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=71, 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)*( 71 << 4 ) = -1136 = -1136 (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 162: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=39, 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)*( 39 << 2 ) = +156 = 156 (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 343: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=17, D=POS, φ=PHI1 (shift 2), and X=81, 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)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (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 335: 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=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)*( 12 << 2 ) = +48 = 48 (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-fi... | agentic | math | hard |
math | Math Hard 430: 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=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)*( 35 << 2 ) = +140 = 140 (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 820: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=37, D=POS, φ=PHI1 (shift 2), and X=63, 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)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (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 |
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