task stringclasses 1
value | input stringlengths 240 243 | output stringlengths 328 333 | type stringclasses 1
value | focus stringclasses 1
value | difficulty stringclasses 1
value |
|---|---|---|---|---|---|
math | Math Hard 363: 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=22, 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)*( 22 << 4 ) = -352 = -352 (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 568: 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=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)*( 85 << 2 ) = +340 = 340 (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 996: 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=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)*( 11 << 2 ) = +44 = 44 (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-fi... | agentic | math | hard |
math | Math Hard 376: 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=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)*( 29 << 2 ) = +116 = 116 (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 905: 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=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)*( 91 << 2 ) = +364 = 364 (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 621: 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=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)*( 44 << 2 ) = +176 = 176 (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 877: 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=87, 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)*( 87 << 4 ) = -1392 = -1392 (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 128: 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=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)*( 87 << 2 ) = +348 = 348 (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 515: 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=65, 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)*( 65 << 4 ) = -1040 = -1040 (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 729: 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=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)*( 16 << 2 ) = +64 = 64 (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 333: 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=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)*( 67 << 2 ) = +268 = 268 (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 411: 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=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)*( 82 << 2 ) = +328 = 328 (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 906: 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=79, 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)*( 79 << 4 ) = -1264 = -1264 (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 85: 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=51, 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)*( 51 << 4 ) = -816 = -816 (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 38: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=80, 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)*( 80 << 2 ) = +320 = 320 (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 416: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=63, 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)*( 63 << 2 ) = +252 = 252 (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 584: 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=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)*( 62 << 2 ) = +248 = 248 (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 74: 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=15, 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)*( 15 << 4 ) = -240 = -240 (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 78: 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=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)*( 44 << 2 ) = +176 = 176 (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 66: 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=23, 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)*( 23 << 4 ) = -368 = -368 (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 326: 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=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)*( 83 << 2 ) = +332 = 332 (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 640: 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=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)*( 15 << 2 ) = +60 = 60 (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 933: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=59, D=POS, φ=PHI1 (shift 2), and X=65, 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)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (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 715: 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=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)*( 88 << 2 ) = +352 = 352 (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 750: 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=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)*( 24 << 2 ) = +96 = 96 (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 CPU-... | agentic | math | hard |
math | Math Hard 719: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=21, 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)*( 21 << 2 ) = +84 = 84 (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-fi... | agentic | math | hard |
math | Math Hard 840: 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=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)*( 14 << 2 ) = +56 = 56 (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-fi... | agentic | math | hard |
math | Math Hard 828: 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=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)*( 49 << 2 ) = +196 = 196 (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 375: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=34, 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)*( 34 << 2 ) = +136 = 136 (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 565: 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=22, 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)*( 22 << 4 ) = -352 = -352 (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 922: 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=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)*( 38 << 2 ) = +152 = 152 (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 903: 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=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)*( 40 << 2 ) = +160 = 160 (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 231: 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=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)*( 13 << 2 ) = +52 = 52 (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-fi... | agentic | math | hard |
math | Math Hard 212: 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=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)*( 57 << 2 ) = +228 = 228 (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 765: 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=100, 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)*( 100 << 4 ) = -1600 = -1600 (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 807: 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=100, 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)*( 100 << 4 ) = -1600 = -1600 (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 C... | agentic | math | hard |
math | Math Hard 845: 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=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)*( 27 << 2 ) = +108 = 108 (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 714: 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=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)*( 45 << 2 ) = +180 = 180 (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 263: 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=100, 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)*( 100 << 4 ) = -1600 = -1600 (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 C... | agentic | math | hard |
math | Math Hard 134: 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=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)*( 16 << 2 ) = +64 = 64 (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-fi... | agentic | math | hard |
math | Math Hard 559: 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=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)*( 94 << 2 ) = +376 = 376 (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 253: 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=17, 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)*( 17 << 4 ) = -272 = -272 (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 167: 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=65, 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)*( 65 << 4 ) = -1040 = -1040 (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 377: 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=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)*( 61 << 2 ) = +244 = 244 (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 102: 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=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)*( 27 << 2 ) = +108 = 108 (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 797: 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=83, 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)*( 83 << 4 ) = -1328 = -1328 (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 492: 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=14, 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)*( 14 << 4 ) = -224 = -224 (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 771: 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=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)*( 23 << 2 ) = +92 = 92 (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 CPU-... | agentic | math | hard |
math | Math Hard 265: 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=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)*( 88 << 2 ) = +352 = 352 (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 12: 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=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)*( 95 << 2 ) = +380 = 380 (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 245: 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 980: 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=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)*( 99 << 2 ) = +396 = 396 (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 824: 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=79, 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)*( 79 << 4 ) = -1264 = -1264 (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 139: 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=87, 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)*( 87 << 4 ) = -1392 = -1392 (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 249: 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=60, 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)*( 60 << 4 ) = -960 = -960 (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 856: 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=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)*( 73 << 2 ) = +292 = 292 (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 49: 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=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)*( 100 << 2 ) = +400 = 400 (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 C... | agentic | math | hard |
math | Math Hard 597: 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=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)*( 26 << 2 ) = +104 = 104 (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 786: 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=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)*( 79 << 2 ) = +316 = 316 (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 732: 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=100, 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)*( 100 << 4 ) = -1600 = -1600 (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 499: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=10, 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)*( 10 << 2 ) = +40 = 40 (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 CPU-... | agentic | math | hard |
math | Math Hard 237: 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=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)*( 62 << 2 ) = +248 = 248 (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 940: 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=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)*( 86 << 2 ) = +344 = 344 (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 |
math | Math Hard 789: 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=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)*( 86 << 2 ) = +344 = 344 (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 572: 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=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)*( 38 << 2 ) = +152 = 152 (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 230: 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=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)*( 68 << 2 ) = +272 = 272 (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 680: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=63, 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)*( 63 << 2 ) = +252 = 252 (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 154: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=21, D=POS, φ=PHI1 (shift 2), and X=23, 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)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (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 46: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=63, 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)*( 63 << 2 ) = +252 = 252 (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 317: 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=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)*( 75 << 2 ) = +300 = 300 (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 924: 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=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)*( 30 << 2 ) = +120 = 120 (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 522: 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=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)*( 44 << 2 ) = +176 = 176 (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 318: 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=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)*( 62 << 2 ) = +248 = 248 (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 664: 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=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)*( 85 << 2 ) = +340 = 340 (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 26: 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=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)*( 99 << 2 ) = +396 = 396 (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 271: 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=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)*( 38 << 2 ) = +152 = 152 (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 896: 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=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)*( 71 << 2 ) = +284 = 284 (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 CP... | agentic | math | hard |
math | Math Hard 943: 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=17, 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)*( 17 << 4 ) = -272 = -272 (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 257: 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=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)*( 57 << 2 ) = +228 = 228 (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 662: 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=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)*( 96 << 2 ) = +384 = 384 (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 512: 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=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)*( 99 << 2 ) = +396 = 396 (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 748: 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=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)*( 53 << 2 ) = +212 = 212 (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 783: 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=22, 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)*( 22 << 4 ) = -352 = -352 (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 240: 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=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)*( 44 << 2 ) = +176 = 176 (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 413: 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=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)*( 55 << 2 ) = +220 = 220 (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 790: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=34, D=POS, φ=PHI1 (shift 2), and X=79, 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)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (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 984: 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=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)*( 92 << 2 ) = +368 = 368 (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 393: 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=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)*( 14 << 2 ) = +56 = 56 (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 131: 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=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)*( 52 << 2 ) = +208 = 208 (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 96: 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=22, 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)*( 22 << 4 ) = -352 = -352 (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 636: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=21, 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)*( 21 << 2 ) = +84 = 84 (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 CPU-... | agentic | math | hard |
math | Math Hard 421: 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=96, 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)*( 96 << 4 ) = -1536 = -1536 (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 929: 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=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)*( 45 << 2 ) = +180 = 180 (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 458: 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=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)*( 35 << 2 ) = +140 = 140 (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 578: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=63, 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)*( 63 << 2 ) = +252 = 252 (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 777: 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=79, 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)*( 79 << 4 ) = -1264 = -1264 (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 117: 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=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)*( 73 << 2 ) = +292 = 292 (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 480: 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=22, 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)*( 22 << 4 ) = -352 = -352 (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 774: 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=96, 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)*( 96 << 4 ) = -1536 = -1536 (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 834: 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=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)*( 48 << 2 ) = +192 = 192 (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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.