Puzzle PDF

Author/Opus: This is the 431st puzzle from Thomas Snyder, aka Dr. Sudoku.

Hints: (in rot13):
1. What are these strange puzzle types? Gurl’er glcrf bs ybtvp chmmyrf. Vs lbh frnepu sbe gurve anzrf ba guvf fvgr, gurer ner qrfpevcgvbaf, ubj gb fbyir thvqrf, naq rira ivqrbf.
2. How do I get started? Frira chmmyr glcrf jvgu whfg fvk tevqf? Lbh’yy svefg jnag gb svther bhg ubj rnpu tevq pna havdhryl fbyir nf whfg bar bs gubfr chmmyr glcrf, naq guebhtu fbyivat gur chmmyr vqragvsl gur ? inyhrf juvpu, va nyy pnfrf, ner abg arrqrq gb svaq gur fbyhgvba rkprcg sbe gur snpg gurl ner n pyhr pryy naq va fbzr fglyrf pnaabg or funqrq bire be orybat jvgu nabgure pyhr va na vfynaq/erpgnatyr.
3. How do I figure out which puzzle is which type? Gur tevqf jvgu gur srjrfg pyhrf ner Ahevxnor naq Fuvxnxh naq gur tevq jvgu gur zbfg pyhrf vf n Svyybzvab. Gur erznvavat guerr ner fcyvg npebff Pnir, Xhebznfh, naq Xhebggb. N xrl ybtvpny qrqhpgvba sbe Pnir vf gung lbh pna arire svyy va n purpxreobneq yvxr 2k2 cnggrea bs oynpx naq juvgr fdhnerf (be ryfr lbh jvyy ivbyngr gur pbaarpgvivgl ehyrf). Fb sbphf ba fbzr bs gur 2 pyhrf jvgu qvntbanyyl nqwnprag arvtuobef gb vqragvsl juvpu chmmyr zhfg or gur Pnir.
4. Which puzzle is which type? Sebz hccre yrsg gb ybjre evtug, gur chmmyr glcrf ner: Ahevxnor, Xhebggb; Xhebznfh, Pnir; Svyybzvab; Fuvxnxh.
5. How do I solve the bottom one on the left? Gur obggbz bar ba gur yrsg vf n Svyybzvab chmmyr. Vg znl or n irel uneq chmmyr gb fbyir hagvy lbh erpbtavmr gur tvira pyhrf nyernql nppbhag sbe ng yrnfg 30 (fvk svirf) + 30 (svir fvkrf) + 21 (guerr friraf) pryyf jbegu bs cbylbzvab tebhcf.
6. How do I get a final answer? Gur dhrfgvba znexf va gur qvssrerag tevqf jvyy fgnaq sbe {1,1,6}, {1,2,3,4}, {2,2,3,4}, {2,3,3,5}, {3,3,4,6}, naq {5,6,6,7} juvpu znl uryc vs lbh unir whfg n pbhcyr yrsg hafbyirq. Hfr gurfr inyhrf gb perngr gur 7gu zvffvat chmmyr, gura fbyir vg.

Solution: PDF

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[Note: The remaining two Microsoft Puzzle Hunt puzzles will be released on upcoming future Sundays (starting Jan 29) since these are involved puzzles to solve and harder than our usual weekday content.]