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value | input stringlengths 240 243 | output stringlengths 328 333 | type stringclasses 1
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math | Math Hard 613: 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=62, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 289: 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=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)*( 81 << 2 ) = +324 = 324 (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-... | agentic | math | hard |
math | Math Hard 784: 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=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)*( 39 << 2 ) = +156 = 156 (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 665: 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=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)*( 76 << 2 ) = +304 = 304 (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 867: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=50, D=POS, φ=PHI1 (shift 2), and X=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)*( 50 << 2 ) = +200 = 200 (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 534: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=48, D=POS, φ=PHI1 (shift 2), and X=28, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 428: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=31, D=POS, φ=PHI1 (shift 2), and X=76, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 76 << 4 ) = -1216 = -1216 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=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 412: 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=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)*( 96 << 2 ) = +384 = 384 (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 839: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=78, D=POS, φ=PHI1 (shift 2), and X=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)*( 78 << 2 ) = +312 = 312 (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 425: 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=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)*( 58 << 2 ) = +232 = 232 (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 591: 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=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)*( 44 << 2 ) = +176 = 176 (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 859: 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=98, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 161: 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=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)*( 40 << 2 ) = +160 = 160 (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 553: 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 17: 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=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)*( 14 << 2 ) = +56 = 56 (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 226: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=84, D=POS, φ=PHI1 (shift 2), and X=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)*( 84 << 2 ) = +336 = 336 (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 CP... | agentic | math | hard |
math | Math Hard 68: 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=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)*( 30 << 2 ) = +120 = 120 (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 23: 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=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)*( 63 << 2 ) = +252 = 252 (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 566: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=84, D=POS, φ=PHI1 (shift 2), and X=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)*( 84 << 2 ) = +336 = 336 (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 609: 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=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)*( 79 << 2 ) = +316 = 316 (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 939: 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=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)*( 99 << 2 ) = +396 = 396 (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 169: 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=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)*( 61 << 2 ) = +244 = 244 (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 992: 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=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)*( 75 << 2 ) = +300 = 300 (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 8: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=78, D=POS, φ=PHI1 (shift 2), and X=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)*( 78 << 2 ) = +312 = 312 (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 368: 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=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)*( 17 << 2 ) = +68 = 68 (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-fi... | agentic | math | hard |
math | Math Hard 696: 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=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)*( 68 << 2 ) = +272 = 272 (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 323: 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=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)*( 85 << 2 ) = +340 = 340 (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 532: 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=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)*( 51 << 2 ) = +204 = 204 (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 380: 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=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)*( 76 << 2 ) = +304 = 304 (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 246: 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=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)*( 18 << 2 ) = +72 = 72 (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 CPU-... | agentic | math | hard |
math | Math Hard 427: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=50, D=POS, φ=PHI1 (shift 2), and X=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)*( 50 << 2 ) = +200 = 200 (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-... | agentic | math | hard |
math | Math Hard 65: 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=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)*( 48 << 2 ) = +192 = 192 (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 928: 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=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)*( 13 << 2 ) = +52 = 52 (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 58: 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=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)*( 82 << 2 ) = +328 = 328 (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 739: 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=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)*( 24 << 2 ) = +96 = 96 (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 71: 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=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)*( 43 << 2 ) = +172 = 172 (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 294: 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=26, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU... | agentic | math | hard |
math | Math Hard 218: 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=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)*( 24 << 2 ) = +96 = 96 (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 538: 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=62, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 228: 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=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)*( 91 << 2 ) = +364 = 364 (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 961: 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=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)*( 80 << 2 ) = +320 = 320 (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 28: 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=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)*( 45 << 2 ) = +180 = 180 (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 442: 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=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)*( 83 << 2 ) = +332 = 332 (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 746: 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=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)*( 82 << 2 ) = +328 = 328 (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 720: 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=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)*( 28 << 2 ) = +112 = 112 (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 241: 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=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)*( 23 << 2 ) = +92 = 92 (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-fi... | agentic | math | hard |
math | Math Hard 686: 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=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)*( 15 << 2 ) = +60 = 60 (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 CPU-... | agentic | math | hard |
math | Math Hard 220: 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=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)*( 77 << 2 ) = +308 = 308 (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 392: 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=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)*( 97 << 2 ) = +388 = 388 (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 324: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=47, D=POS, φ=PHI1 (shift 2), and X=54, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 941: 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=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)*( 85 << 2 ) = +340 = 340 (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 670: 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=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)*( 58 << 2 ) = +232 = 232 (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 87: 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=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)*( 24 << 2 ) = +96 = 96 (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 734: 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=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)*( 64 << 2 ) = +256 = 256 (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 486: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=31, 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)*( 31 << 2 ) = +124 = 124 (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 894: 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=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)*( 30 << 2 ) = +120 = 120 (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 798: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=78, D=POS, φ=PHI1 (shift 2), and X=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)*( 78 << 2 ) = +312 = 312 (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 24: 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=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)*( 53 << 2 ) = +212 = 212 (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 186: 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=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)*( 71 << 2 ) = +284 = 284 (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 379: 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=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)*( 11 << 2 ) = +44 = 44 (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 912: 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=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)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 977: 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=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)*( 58 << 2 ) = +232 = 232 (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 654: 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=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)*( 49 << 2 ) = +196 = 196 (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 659: 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=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)*( 33 << 2 ) = +132 = 132 (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 113: 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=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)*( 61 << 2 ) = +244 = 244 (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 452: 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=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)*( 79 << 2 ) = +316 = 316 (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 219: 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 598: 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=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)*( 11 << 2 ) = +44 = 44 (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 CPU-... | agentic | math | hard |
math | Math Hard 920: 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=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)*( 79 << 2 ) = +316 = 316 (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 925: 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=26, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 415: 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=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)*( 62 << 2 ) = +248 = 248 (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 422: 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=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)*( 21 << 2 ) = +84 = 84 (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 197: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=84, D=POS, φ=PHI1 (shift 2), and X=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)*( 84 << 2 ) = +336 = 336 (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 95: 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=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)*( 43 << 2 ) = +172 = 172 (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 674: 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=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)*( 64 << 2 ) = +256 = 256 (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 140: 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=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)*( 74 << 2 ) = +296 = 296 (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 417: 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=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)*( 87 << 2 ) = +348 = 348 (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 357: 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=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)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-fi... | agentic | math | hard |
math | Math Hard 73: 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=62, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 967: 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=28, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU... | agentic | math | hard |
math | Math Hard 605: 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=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)*( 44 << 2 ) = +176 = 176 (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 703: 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=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)*( 85 << 2 ) = +340 = 340 (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 697: 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=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)*( 82 << 2 ) = +328 = 328 (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 667: 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=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)*( 77 << 2 ) = +308 = 308 (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 914: 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=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)*( 94 << 2 ) = +376 = 376 (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 815: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=31, 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)*( 31 << 2 ) = +124 = 124 (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 362: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=90, 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)*( 90 << 2 ) = +360 = 360 (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 406: 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=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)*( 96 << 2 ) = +384 = 384 (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 869: 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=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)*( 18 << 2 ) = +72 = 72 (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 962: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=90, D=POS, φ=PHI1 (shift 2), and X=52, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 250: 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=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)*( 30 << 2 ) = +120 = 120 (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-... | agentic | math | hard |
math | Math Hard 319: 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=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)*( 39 << 2 ) = +156 = 156 (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 942: 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=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)*( 62 << 2 ) = +248 = 248 (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 753: 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=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)*( 96 << 2 ) = +384 = 384 (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 972: 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=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)*( 36 << 2 ) = +144 = 144 (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 13: 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=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)*( 60 << 2 ) = +240 = 240 (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 384: 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=28, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 352: 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=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)*( 38 << 2 ) = +152 = 152 (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 791: 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=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)*( 11 << 2 ) = +44 = 44 (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-fi... | agentic | math | hard |
math | Math Hard 516: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=20, 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)*( 20 << 2 ) = +80 = 80 (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 |
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