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value | input stringlengths 240 243 | output stringlengths 328 333 | type stringclasses 1
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math | Math Hard 755: 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=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)*( 74 << 2 ) = +296 = 296 (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 985: 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=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)*( 18 << 2 ) = +72 = 72 (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 444: 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=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)*( 14 << 2 ) = +56 = 56 (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 469: 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=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)*( 68 << 2 ) = +272 = 272 (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 70: 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=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)*( 10 << 2 ) = +40 = 40 (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 CPU-... | agentic | math | hard |
math | Math Hard 485: 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=35, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 310: 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=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)*( 79 << 2 ) = +316 = 316 (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 644: 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=35, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 409: 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=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)*( 28 << 2 ) = +112 = 112 (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 934: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=41, D=POS, φ=PHI1 (shift 2), and X=20, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=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 305: 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=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)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 971: 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=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)*( 23 << 2 ) = +92 = 92 (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 CPU-... | agentic | math | hard |
math | Math Hard 41: 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 796: 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=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)*( 23 << 2 ) = +92 = 92 (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 CPU-... | agentic | math | hard |
math | Math Hard 829: 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=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)*( 52 << 2 ) = +208 = 208 (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 632: 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=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)*( 59 << 2 ) = +236 = 236 (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 347: 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=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)*( 85 << 2 ) = +340 = 340 (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 607: 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=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)*( 62 << 2 ) = +248 = 248 (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 133: 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 668: 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=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)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 205: 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=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)*( 95 << 2 ) = +380 = 380 (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 369: 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=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)*( 13 << 2 ) = +52 = 52 (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 426: 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=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)*( 50 << 2 ) = +200 = 200 (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 876: 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=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)*( 47 << 2 ) = +188 = 188 (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 817: 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=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)*( 47 << 2 ) = +188 = 188 (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 691: 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=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)*( 91 << 2 ) = +364 = 364 (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 141: 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=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)*( 100 << 2 ) = +400 = 400 (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 420: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=70, D=POS, φ=PHI1 (shift 2), and X=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)*( 70 << 2 ) = +280 = 280 (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 CP... | agentic | math | hard |
math | Math Hard 884: 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=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)*( 59 << 2 ) = +236 = 236 (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 741: 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=20, D=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)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=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 200: 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=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)*( 99 << 2 ) = +396 = 396 (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 620: 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=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)*( 56 << 2 ) = +224 = 224 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 520: 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=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)*( 16 << 2 ) = +64 = 64 (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 CPU-... | agentic | math | hard |
math | Math Hard 311: 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=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)*( 22 << 2 ) = +88 = 88 (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 888: 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=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)*( 34 << 2 ) = +136 = 136 (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 61: 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=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)*( 97 << 2 ) = +388 = 388 (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 812: 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=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)*( 73 << 2 ) = +292 = 292 (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 CP... | agentic | math | hard |
math | Math Hard 367: 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=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)*( 63 << 2 ) = +252 = 252 (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 52: 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=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)*( 57 << 2 ) = +228 = 228 (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 501: 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=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)*( 81 << 2 ) = +324 = 324 (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 722: 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=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)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 963: 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=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)*( 86 << 2 ) = +344 = 344 (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 910: 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=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)*( 57 << 2 ) = +228 = 228 (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 871: 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=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)*( 91 << 2 ) = +364 = 364 (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 202: 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=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)*( 79 << 2 ) = +316 = 316 (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 359: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=37, D=POS, φ=PHI1 (shift 2), and X=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)*( 37 << 2 ) = +148 = 148 (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 185: 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=39, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 956: 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=27, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 886: 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=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)*( 19 << 2 ) = +76 = 76 (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-fi... | agentic | math | hard |
math | Math Hard 975: 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=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)*( 95 << 2 ) = +380 = 380 (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 974: 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=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)*( 59 << 2 ) = +236 = 236 (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 669: 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=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)*( 18 << 2 ) = +72 = 72 (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-fi... | agentic | math | hard |
math | Math Hard 830: 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=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)*( 94 << 2 ) = +376 = 376 (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 853: 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=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)*( 50 << 2 ) = +200 = 200 (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 164: 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=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)*( 91 << 2 ) = +364 = 364 (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 713: 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=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)*( 80 << 2 ) = +320 = 320 (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 567: 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=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)*( 99 << 2 ) = +396 = 396 (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 143: 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=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)*( 21 << 2 ) = +84 = 84 (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 CPU-... | agentic | math | hard |
math | Math Hard 545: 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=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)*( 59 << 2 ) = +236 = 236 (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 124: 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=69, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 84: 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=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)*( 10 << 2 ) = +40 = 40 (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 CPU-... | agentic | math | hard |
math | Math Hard 479: 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=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)*( 38 << 2 ) = +152 = 152 (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 340: 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=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)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 10: 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=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)*( 87 << 2 ) = +348 = 348 (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 213: 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=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)*( 73 << 2 ) = +292 = 292 (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 837: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=72, D=POS, φ=PHI1 (shift 2), and X=84, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 146: 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=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)*( 66 << 2 ) = +264 = 264 (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 156: 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=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)*( 87 << 2 ) = +348 = 348 (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 166: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=98, D=POS, φ=PHI1 (shift 2), and X=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)*( 98 << 2 ) = +392 = 392 (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 CP... | agentic | math | hard |
math | Math Hard 372: 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=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)*( 30 << 2 ) = +120 = 120 (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 256: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=93, D=POS, φ=PHI1 (shift 2), and X=27, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-... | agentic | math | hard |
math | Math Hard 835: 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=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)*( 81 << 2 ) = +324 = 324 (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 153: 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=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)*( 47 << 2 ) = +188 = 188 (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 970: 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=69, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 109: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=70, D=POS, φ=PHI1 (shift 2), and X=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)*( 70 << 2 ) = +280 = 280 (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 434: 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=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)*( 71 << 2 ) = +284 = 284 (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 808: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<φ). Given X=70, D=POS, φ=PHI1 (shift 2), and X=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)*( 70 << 2 ) = +280 = 280 (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 171: 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=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)*( 36 << 2 ) = +144 = 144 (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 918: 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=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)*( 58 << 2 ) = +232 = 232 (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 690: 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=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)*( 85 << 2 ) = +340 = 340 (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 168: 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=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)*( 46 << 2 ) = +184 = 184 (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 475: 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=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)*( 90 << 2 ) = +360 = 360 (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 704: 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=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)*( 19 << 2 ) = +76 = 76 (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 130: 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=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)*( 82 << 2 ) = +328 = 328 (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 272: 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=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)*( 59 << 2 ) = +236 = 236 (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 969: 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=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)*( 88 << 2 ) = +352 = 352 (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 979: 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=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)*( 61 << 2 ) = +244 = 244 (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 CP... | agentic | math | hard |
math | Math Hard 309: 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=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)*( 71 << 2 ) = +284 = 284 (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 891: 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=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)*( 13 << 2 ) = +52 = 52 (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 CPU-... | agentic | math | hard |
math | Math Hard 435: 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=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)*( 62 << 2 ) = +248 = 248 (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 889: 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=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)*( 66 << 2 ) = +264 = 264 (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 832: 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=69, D=NEG, φ=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher. | Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CP... | agentic | math | hard |
math | Math Hard 449: 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=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)*( 80 << 2 ) = +320 = 320 (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 639: 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=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)*( 86 << 2 ) = +344 = 344 (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 585: 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=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)*( 62 << 2 ) = +248 = 248 (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 932: 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=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)*( 23 << 2 ) = +92 = 92 (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 322: 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=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)*( 29 << 2 ) = +116 = 116 (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 946: 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=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)*( 40 << 2 ) = +160 = 160 (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 788: 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=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)*( 23 << 2 ) = +92 = 92 (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 206: 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=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)*( 79 << 2 ) = +316 = 316 (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 |
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