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In the first part of my talk,I shall briefly introduce the basic idea of the diagrammatic Monte Carlo method,and then present two recent applications: together with 13 research groups from worldwide,we benchmark the 2D Fermionic-Hubbard model from a wide range of algorithms; using extensive diagrammatic Monte Carlo calculation and semi-analytic calculation for the Cooper instability,we determine for the first time the ground-state superconductivity phase diagram in the emergent BCS region.